Orientable regular maps of genus 2 to 101
-----------------------------------------

Below is a list of all (reflexible) orientable regular maps on surfaces 
of genus 2 to 101, up to isomorphism and duality.

The notation "Rg.n" is used for the nth orientable regular map of genus g.

These were found by Marston Conder (University of Auckland) with the 
help of the "LowIndexNormalSubgroups" routine in Magma, in August 2006.

For background information (and regular maps of genus up to 15), see:
Marston Conder and P. Dobcs\'anyi, Determination of all regular maps
of small genus,  J. Combinatorial Theory, Series B  81 (2001), 224-242.

Total number of maps in list below:  3378


R2.1 :  Type {3,8}_12  Order 96  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2 ]

R2.2 :  Type {4,6}_12  Order 48  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 ]

R2.3 :  Type {4,8}_8  Order 32  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-2 ]

R2.4 :  Type {5,10}_2  Order 20  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-5 ]

R2.5 :  Type {6,6}_2  Order 24  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^6 ]

R2.6 :  Type {8,8}_2  Order 16  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, R^3 * S^-1, S * R^2 * S, (R^-1 * T)^2 ]

R3.1 :  Type {3,7}_8  Order 336  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (R * S^-2)^4 ]

R3.2 :  Type {3,8}_6  Order 192  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^3 ]

R3.3 :  Type {3,12}_8  Order 96  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3 ]

R3.4 :  Type {4,6}_6  Order 96  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^6 ]

R3.5 :  Type {4,8}_8  Order 64  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2 ]

R3.6 :  Type {4,8}_8  Order 64  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^8 ]

R3.7 :  Type {4,12}_6  Order 48  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * R^2 * S^-3 ]

R3.8 :  Type {6,6}_4  Order 48  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-2 ]

R3.9 :  Type {7,14}_2  Order 28  mV = 14  mF = 7   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-7 ]

R3.10 :  Type {8,8}_4  Order 32  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, S^-1 * R^2 * S^-1, (R * S)^2, 
(R^-1 * T)^2, (S^-1 * T)^2 ]

R3.11 :  Type {8,8}_2  Order 32  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 ]

R3.12 :  Type {12,12}_2  Order 24  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^5 * S^-1 ]

R4.1 :  Type {3,12}_6  Order 144  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ]

R4.2 :  Type {4,5}_6  Order 240  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-2 * R * S^-1)^2 ]

R4.3 :  Type {4,6}_4  Order 144  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^2 * S^-1 * R * S ]

R4.4 :  Type {4,10}_20  Order 80  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^10 ]

R4.5 :  Type {4,16}_16  Order 64  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-4 * R^2 * S^-4 ]

R4.6 :  Type {5,5}_6  Order 120  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S^-1 * R)^3 ]

R4.7 :  Type {6,6}_6  Order 72  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^6 ]

R4.8 :  Type {6,6}_6  Order 72  mV = 2  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^6 ]

R4.9 :  Type {6,12}_4  Order 48  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-2 * R^2 * S^-2 ]

R4.10 :  Type {9,18}_2  Order 36  mV = 18  mF = 9   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R * S^-1 * T * S * R^-5 * T * R ]

R4.11 :  Type {10,10}_2  Order 40  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-2 * T * R^6 * T * R^-2 ]

R4.12 :  Type {16,16}_2  Order 32  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * S^-1 ]


R5.1 :  Type {3,8}_12  Order 384  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ]

R5.2 :  Type {3,10}_10  Order 240  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2 ]

R5.3 :  Type {4,5}_10  Order 320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^4 ]

R5.4 :  Type {4,6}_12  Order 192  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1 ]

R5.5 :  Type {4,8}_4  Order 128  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^4 ]

R5.6 :  Type {4,8}_8  Order 128  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 ]

R5.7 :  Type {4,12}_12  Order 96  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^12 ]

R5.8 :  Type {4,20}_10  Order 80  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^5 * R * S^-4 * R * S ]

R5.9 :  Type {5,5}_4  Order 160  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ]

R5.10 :  Type {6,6}_4  Order 96  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-2)^2 ]

R5.11 :  Type {6,15}_10  Order 60  mV = 15  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-2 * R^-2 * S^-3 ]

R5.12 :  Type {8,8}_4  Order 64  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3 ]

R5.13 :  Type {8,8}_4  Order 64  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8 ]

R5.14 :  Type {11,22}_2  Order 44  mV = 22  mF = 11   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-11 ]

R5.15 :  Type {12,12}_2  Order 48  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^2 * T * S * R^-7 * S * T * R ]

R5.16 :  Type {20,20}_2  Order 40  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-2 * T * R^6 * T * R^-1 * S ]


R6.1 :  Type {3,10}_6  Order 300  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^10 ]

R6.2 :  Type {4,6}_10  Order 240  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^6 ]

R6.3 :  Type {4,9}_18  Order 144  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-9 ]

R6.4 :  Type {4,14}_28  Order 112  mV = 7  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^14 ]

R6.5 :  Type {4,24}_24  Order 96  mV = 24  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 * R^2 * S^6 ]

R6.6 :  Type {5,10}_10  Order 100  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-1 * R * S^2 ]

R6.7 :  Type {6,8}_24  Order 96  mV = 4  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^8 ]

R6.8 :  Type {6,8}_12  Order 96  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-1 * R^-3 * S^-3 ]

R6.9 :  Type {9,9}_4  Order 72  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-9 ]

R6.10 :  Type {10,15}_6  Order 60  mV = 15  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-2 * S^2 ]

R6.11 :  Type {13,26}_2  Order 52  mV = 26  mF = 13   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^2 * T * R^7 * S^-1 * T * R^-1 * S ]

R6.12 :  Type {14,14}_2  Order 56  mV = 14  mF = 14  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * S^-2 ]

R6.13 :  Type {24,24}_2  Order 48  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^2 * T * S * R^-7 * S * T * S^-1 ]


R7.1 :  Type {3,7}_18  Order 1008  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ]

R7.2 :  Type {3,12}_24  Order 288  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R7.3 :  Type {4,16}_16  Order 128  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^3 * R * S^-1 * R * S^4 ]

R7.4 :  Type {4,16}_16  Order 128  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^16 ]

R7.5 :  Type {4,28}_14  Order 112  mV = 28  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^7 * R^2 * S^7 ]

R7.6 :  Type {6,9}_18  Order 108  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-9 ]

R7.7 :  Type {6,12}_8  Order 96  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-2 * S^-2 * R ]

R7.8 :  Type {6,21}_14  Order 84  mV = 21  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^3 * R^-2 * S^4 ]

R7.9 :  Type {15,30}_2  Order 60  mV = 30  mF = 15   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^5 * T * R^6 * S^-1 * T * S^2 ]

R7.10 :  Type {16,16}_2  Order 64  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^3 * T * R^9 * S^-1 * T * S^2 ]

R7.11 :  Type {16,16}_4  Order 64  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^6 * S^-2 ]

R7.12 :  Type {28,28}_2  Order 56  mV = 28  mF = 28  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * S^-1 * R ]


R8.1 :  Type {3,8}_8  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4 ]

R8.2 :  Type {3,8}_14  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ]

R8.3 :  Type {4,18}_36  Order 144  mV = 9  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^18 ]

R8.4 :  Type {4,32}_32  Order 128  mV = 32  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^8 * R^2 * S^8 ]

R8.5 :  Type {6,10}_30  Order 120  mV = 5  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^10 ]

R8.6 :  Type {6,24}_8  Order 96  mV = 24  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^4 * R^2 * S^4 ]

R8.7 :  Type {8,12}_24  Order 96  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^-2 * R^4 * S^-4 ]

R8.8 :  Type {10,20}_4  Order 80  mV = 20  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^10 ]

R8.9 :  Type {17,34}_2  Order 68  mV = 34  mF = 17   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^2 * S^-2 * T * S * R^-9 * T * S^-3 ]

R8.10 :  Type {18,18}_2  Order 72  mV = 18  mF = 18  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * T * R^-11 * T ]

R8.11 :  Type {32,32}_2  Order 64  mV = 32  mF = 32  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^3 * T * R^9 * S^-1 * T * S * R^-1 ]


R9.1 :  Type {3,12}_8  Order 384  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2 ]

R9.2 :  Type {4,5}_20  Order 640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 * S^2 ]

R9.3 :  Type {4,6}_24  Order 384  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ]

R9.4 :  Type {4,6}_6  Order 384  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R9.5 :  Type {4,8}_8  Order 256  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 ]

R9.6 :  Type {4,8}_4  Order 256  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^8 ]

R9.7 :  Type {4,8}_8  Order 256  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^8 ]

R9.8 :  Type {4,8}_8  Order 256  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 ]

R9.9 :  Type {4,12}_6  Order 192  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^3 ]

R9.10 :  Type {4,12}_12  Order 192  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 ]

R9.11 :  Type {4,12}_12  Order 192  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12 ]

R9.12 :  Type {4,20}_20  Order 160  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^20 ]

R9.13 :  Type {4,36}_18  Order 144  mV = 36  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^2 * S^9 ]

R9.14 :  Type {5,5}_8  Order 320  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ]

R9.15 :  Type {5,6}_10  Order 240  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-2)^2 ]

R9.16 :  Type {5,6}_4  Order 240  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ]

R9.17 :  Type {6,6}_8  Order 192  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^2 * S * R^-1 * S ]

R9.18 :  Type {6,6}_4  Order 192  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ]

R9.19 :  Type {8,8}_8  Order 128  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^8 ]

R9.20 :  Type {8,8}_8  Order 128  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^8 ]

R9.21 :  Type {8,8}_8  Order 128  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^3 * S * R^-1 * S^-1 ]

R9.22 :  Type {8,8}_4  Order 128  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ]

R9.23 :  Type {8,8}_8  Order 128  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R * S^-1 * R^2 * S^-1 * R * S ]

R9.24 :  Type {8,24}_12  Order 96  mV = 24  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^3 * R^2 * S^3 ]

R9.25 :  Type {8,24}_6  Order 96  mV = 24  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^-3 * R^2 * S^-3 ]

R9.26 :  Type {12,12}_4  Order 96  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-2, (S^-1 * R)^3 ]

R9.27 :  Type {12,12}_4  Order 96  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-2 * R^7 * S^-2 ]

R9.28 :  Type {12,12}_4  Order 96  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^2 * R^-7 * S^2 ]

R9.29 :  Type {14,21}_6  Order 84  mV = 21  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-4 * S^3 ]

R9.30 :  Type {19,38}_2  Order 76  mV = 38  mF = 19   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^4 * T * R^9 * S^-1 * T * S * R^-3 ]

R9.31 :  Type {20,20}_2  Order 80  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^5 * T * R^-10 * T * S^-4 * R ]

R9.32 :  Type {36,36}_2  Order 72  mV = 36  mF = 36  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^6 * T * R^-11 * T ]


R10.1 :  Type {3,9}_12  Order 648  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2 ]

R10.2 :  Type {3,12}_6  Order 432  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^12 ]

R10.3 :  Type {3,15}_10  Order 360  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, S * R * S^-4 * R * S^5 ]

R10.4 :  Type {3,18}_6  Order 324  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-6 * R^-1 * S^5 * R^-1 * S^-1 ]

R10.5 :  Type {3,24}_12  Order 288  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4 ]

R10.6 :  Type {4,5}_8  Order 720  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (S^-1 * R)^5 ]

R10.7 :  Type {4,6}_12  Order 432  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2 * R * S^-1)^2 ]

R10.8 :  Type {4,6}_12  Order 432  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R10.9 :  Type {4,7}_8  Order 336  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-7 ]

R10.10 :  Type {4,12}_6  Order 216  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-3 * R * S^4 ]

R10.11 :  Type {4,22}_44  Order 176  mV = 11  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^22 ]

R10.12 :  Type {4,40}_40  Order 160  mV = 40  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^10 * R^2 * S^10 ]

R10.13 :  Type {6,6}_6  Order 216  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^2 * S^2 * R^-1 ]

R10.14 :  Type {6,6}_6  Order 216  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ]

R10.15 :  Type {6,6}_6  Order 216  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R ]

R10.16 :  Type {6,12}_12  Order 144  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^2 ]

R10.17 :  Type {6,12}_12  Order 144  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^12 ]

R10.18 :  Type {6,12}_12  Order 144  mV = 4  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^12 ]

R10.19 :  Type {6,30}_10  Order 120  mV = 30  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-5 * R^2 * S^-5 ]

R10.20 :  Type {9,18}_6  Order 108  mV = 9  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-9 ]

R10.21 :  Type {12,24}_8  Order 96  mV = 24  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^2 * S^-2 ]

R10.22 :  Type {21,42}_2  Order 84  mV = 42  mF = 21   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^5 * R^-2 * T * R^8 * T * R^-4 * S ]

R10.23 :  Type {22,22}_2  Order 88  mV = 22  mF = 22  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * S * R^-6 * S * T * S^-2 ]

R10.24 :  Type {40,40}_2  Order 80  mV = 40  mF = 40  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^5 * T * R^-10 * T * S^-5 ]


R11.1 :  Type {4,6}_10  Order 480  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R11.2 :  Type {4,24}_24  Order 192  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^4 * R * S^-2 * R^-1 * S^6 ]

R11.3 :  Type {4,24}_24  Order 192  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^24 ]

R11.4 :  Type {4,44}_22  Order 176  mV = 44  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^11 * R^2 * S^11 ]

R11.5 :  Type {6,6}_6  Order 240  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-2 * R)^2, 
S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ]

R11.6 :  Type {6,8}_12  Order 192  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-3)^2 ]

R11.7 :  Type {6,8}_6  Order 192  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R^2 * S^-1 * R^2 * S^3 ]

R11.8 :  Type {6,33}_22  Order 132  mV = 33  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-6 * R * S^4 * R^-1 * S^-1 ]

R11.9 :  Type {8,16}_16  Order 128  mV = 8  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^3 * R^-4 * S^5 ]

R11.10 :  Type {8,16}_16  Order 128  mV = 8  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^3 * R * S^-1 * R * S^4 ]

R11.11 :  Type {23,46}_2  Order 92  mV = 46  mF = 23   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^4 * R^-1 * S * T * S^-1 * R^7 * T * R^-8 ]

R11.12 :  Type {24,24}_2  Order 96  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-9 * T * R^2 * S^-4 * R ]

R11.13 :  Type {24,24}_4  Order 96  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^2 * R^-9 ]

R11.14 :  Type {44,44}_2  Order 88  mV = 44  mF = 44  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * S * R^-6 * S * T * S^-1 * R ]


R12.1 :  Type {4,15}_30  Order 240  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-15 ]

R12.2 :  Type {4,26}_52  Order 208  mV = 13  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^26 ]

R12.3 :  Type {4,48}_48  Order 192  mV = 48  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^12 * R^2 * S^12 ]

R12.4 :  Type {6,14}_42  Order 168  mV = 7  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^14 ]

R12.5 :  Type {8,10}_40  Order 160  mV = 5  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^10 ]

R12.6 :  Type {10,30}_6  Order 120  mV = 30  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^10 ]

R12.7 :  Type {14,28}_4  Order 112  mV = 28  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-2 * R^8 * S^-2 ]

R12.8 :  Type {15,15}_4  Order 120  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S * R^-1 * S * R^-8 * S^2 ]

R12.9 :  Type {25,50}_2  Order 100  mV = 50  mF = 25   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^5 * R^-2 * T * R^9 * T * R^-7 * S ]

R12.10 :  Type {26,26}_2  Order 104  mV = 26  mF = 26  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^14 * R^-8 * S * T * R * S^-1 * T ]

R12.11 :  Type {48,48}_2  Order 96  mV = 48  mF = 48  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-9 * T * R^2 * S^-5 ]


R13.1 :  Type {3,10}_30  Order 720  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-1 * R * S^2 * R^-1 * S^2 ]

R13.2 :  Type {3,12}_12  Order 576  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ]

R13.3 :  Type {4,12}_4  Order 288  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^6 ]

R13.4 :  Type {4,16}_16  Order 256  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 ]

R13.5 :  Type {4,16}_16  Order 256  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-5 ]

R13.6 :  Type {4,28}_28  Order 224  mV = 14  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^28 ]

R13.7 :  Type {4,52}_26  Order 208  mV = 52  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^13 * R^2 * S^13 ]

R13.8 :  Type {5,10}_6  Order 240  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-2 * R)^2 ]

R13.9 :  Type {6,6}_12  Order 288  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ]

R13.10 :  Type {6,12}_4  Order 192  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ]

R13.11 :  Type {6,12}_8  Order 192  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-2 * R * S^3 ]

R13.12 :  Type {6,15}_30  Order 180  mV = 5  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-15 ]

R13.13 :  Type {6,39}_26  Order 156  mV = 39  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-7 * R^2 * S^-6 ]

R13.14 :  Type {9,18}_4  Order 144  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-9 ]

R13.15 :  Type {12,12}_6  Order 144  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-5 * S^5 ]

R13.16 :  Type {12,12}_6  Order 144  mV = 4  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^12 ]

R13.17 :  Type {16,16}_8  Order 128  mV = 8  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^4 * S^-3 ]

R13.18 :  Type {16,16}_4  Order 128  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S * R^4 * S^3 ]

R13.19 :  Type {16,16}_4  Order 128  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-2 * S * R^-10 * S^3 ]

R13.20 :  Type {27,54}_2  Order 108  mV = 54  mF = 27   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^4 * R^-2 * T * R^10 * S^-2 * T * R^-8 ]

R13.21 :  Type {28,28}_2  Order 112  mV = 28  mF = 28  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^11 * S^-2 * R * T * S * R^-7 * T * R^3 * S^-3 ]

R13.22 :  Type {52,52}_2  Order 104  mV = 52  mF = 52  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^15 * R^-8 * S * T * R * S^-1 * T ]


R14.1 :  Type {3,7}_12  Order 2184  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (S * R^-1 * S)^6 ]

R14.2 :  Type {3,7}_26  Order 2184  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 ]

R14.3 :  Type {3,7}_14  Order 2184  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ]

R14.4 :  Type {4,30}_60  Order 240  mV = 15  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^30 ]

R14.5 :  Type {4,56}_56  Order 224  mV = 56  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^14 * R^2 * S^14 ]

R14.6 :  Type {6,16}_48  Order 192  mV = 8  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^16 ]

R14.7 :  Type {6,42}_14  Order 168  mV = 42  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^7 * R^2 * S^7 ]

R14.8 :  Type {8,20}_40  Order 160  mV = 10  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^5 * R^4 * S^5 ]

R14.9 :  Type {10,35}_14  Order 140  mV = 35  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^-2 * S^-4 ]

R14.10 :  Type {29,58}_2  Order 116  mV = 58  mF = 29   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^14 * T * S^2 * R^-10 * T * R^3 ]

R14.11 :  Type {30,30}_2  Order 120  mV = 30  mF = 30  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-8 ]

R14.12 :  Type {56,56}_2  Order 112  mV = 56  mF = 56  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^11 * S^-2 * R * T * S * R^-7 * T * R^3 * S^-2 * R ]


R15.1 :  Type {3,9}_14  Order 1008  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ]

R15.2 :  Type {3,14}_6  Order 588  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^14 ]

R15.3 :  Type {3,20}_20  Order 480  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, 
(S^2 * R^-1 * S^2 * R^-1 * S)^2 ]

R15.4 :  Type {4,6}_8  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (S * R^-1 * S)^3 ]

R15.5 :  Type {4,18}_18  Order 288  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^18 ]

R15.6 :  Type {4,32}_32  Order 256  mV = 16  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R * S^-1 * R * S^7 ]

R15.7 :  Type {4,32}_32  Order 256  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^32 ]

R15.8 :  Type {4,60}_30  Order 240  mV = 60  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^15 * R^2 * S^15 ]

R15.9 :  Type {6,10}_10  Order 240  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^3 * S^-3 ]

R15.10 :  Type {7,14}_14  Order 196  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-7 ]

R15.11 :  Type {8,12}_12  Order 192  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S * R * S^-2 * R * S^3 ]

R15.12 :  Type {8,12}_6  Order 192  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4 ]

R15.13 :  Type {8,12}_24  Order 192  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^12 ]

R15.14 :  Type {8,12}_24  Order 192  mV = 3  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^12 ]

R15.15 :  Type {8,40}_20  Order 160  mV = 40  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^5 * R^-2 * S^5 ]

R15.16 :  Type {8,40}_10  Order 160  mV = 40  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^5 * R^2 * S^5 ]

R15.17 :  Type {14,35}_10  Order 140  mV = 35  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-2 * S^3 ]

R15.18 :  Type {18,18}_4  Order 144  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^4 * R^-1 * S * R^-8 * S^2 ]

R15.19 :  Type {22,33}_6  Order 132  mV = 33  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-8 * S^3 ]

R15.20 :  Type {31,62}_2  Order 124  mV = 62  mF = 31   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^8 * R^-3 * T * R^7 * S^-1 * T * R^-1 * S * T * R^2 * T * R^-7 ]

R15.21 :  Type {32,32}_2  Order 128  mV = 32  mF = 32  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-8 * R ]

R15.22 :  Type {32,32}_4  Order 128  mV = 32  mF = 32  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-2 * S * R^-10 * S * R^-2 ]

R15.23 :  Type {60,60}_2  Order 120  mV = 60  mF = 60  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-7 * R ]


R16.1 :  Type {3,8}_10  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1, S^3 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S ]

R16.2 :  Type {4,5}_30  Order 1200  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^6, 
S^-2 * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^2 * R^-2 * S^-1 * R ]

R16.3 :  Type {4,10}_4  Order 400  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^10 ]

R16.4 :  Type {4,34}_68  Order 272  mV = 17  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^34 ]

R16.5 :  Type {4,64}_64  Order 256  mV = 64  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^16 * R^2 * S^16 ]

R16.6 :  Type {5,5}_6  Order 600  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R16.7 :  Type {6,8}_8  Order 288  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 ]

R16.8 :  Type {6,18}_18  Order 216  mV = 9  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^18 ]

R16.9 :  Type {6,18}_18  Order 216  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^18 ]

R16.10 :  Type {6,48}_16  Order 192  mV = 48  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^8 * R * S^-1 * R * S^7 ]

R16.11 :  Type {10,10}_10  Order 200  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^10, (R * S^-1 * R^3)^2 ]

R16.12 :  Type {10,10}_10  Order 200  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^10 ]

R16.13 :  Type {10,40}_8  Order 160  mV = 40  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-4 * R^2 * S^-4 ]

R16.14 :  Type {18,36}_4  Order 144  mV = 36  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^2 * R^-1 * S * R^-12 * S ]

R16.15 :  Type {33,66}_2  Order 132  mV = 66  mF = 33   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^9 * R^-3 * T * R^7 * S^-1 * T * R^-1 * S * T * R^2 * T * R^-7 * S ]

R16.16 :  Type {34,34}_2  Order 136  mV = 34  mF = 34  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^9 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-10 ]

R16.17 :  Type {64,64}_2  Order 128  mV = 64  mF = 64  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-9 ]


R17.1 :  Type {3,8}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ]

R17.2 :  Type {3,14}_8  Order 672  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^5 * R * S^-1 * R^-1 * S^5 * R^-1 * S ]

R17.3 :  Type {4,6}_12  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 ]

R17.4 :  Type {4,6}_6  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4 ]

R17.5 :  Type {4,6}_12  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, (R * S^-2)^4 ]

R17.6 :  Type {4,8}_8  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ]

R17.7 :  Type {4,8}_8  Order 512  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R17.8 :  Type {4,8}_8  Order 512  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R17.9 :  Type {4,8}_16  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ]

R17.10 :  Type {4,12}_12  Order 384  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ]

R17.11 :  Type {4,12}_24  Order 384  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^-2 * R * S ]

R17.12 :  Type {4,12}_24  Order 384  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^12 ]

R17.13 :  Type {4,20}_20  Order 320  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^20 ]

R17.14 :  Type {4,36}_36  Order 288  mV = 18  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^36 ]

R17.15 :  Type {4,68}_34  Order 272  mV = 68  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^17 * R^2 * S^17 ]

R17.16 :  Type {5,6}_8  Order 480  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^3 ]

R17.17 :  Type {5,10}_8  Order 320  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 ]

R17.18 :  Type {5,10}_4  Order 320  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R * S^-1 * R)^2 ]

R17.19 :  Type {6,6}_8  Order 384  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, (R * S^-1 * R)^4 ]

R17.20 :  Type {6,6}_4  Order 384  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ]

R17.21 :  Type {6,6}_8  Order 384  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-2 ]

R17.22 :  Type {6,6}_8  Order 384  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ]

R17.23 :  Type {6,15}_20  Order 240  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^-2 * S * R^-2 * S^4 ]

R17.24 :  Type {6,51}_34  Order 204  mV = 51  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-9 * R * S * R^-1 * S^-7 ]

R17.25 :  Type {8,8}_8  Order 256  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 ]

R17.26 :  Type {8,8}_8  Order 256  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 ]

R17.27 :  Type {8,8}_8  Order 256  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ]

R17.28 :  Type {8,8}_8  Order 256  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^4 ]

R17.29 :  Type {8,8}_4  Order 256  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 ]

R17.30 :  Type {8,8}_8  Order 256  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 ]

R17.31 :  Type {8,8}_4  Order 256  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^4 ]

R17.32 :  Type {8,24}_12  Order 192  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^6 * R^3 * S^-2 * T * S * R * T * S^3 ]

R17.33 :  Type {8,24}_12  Order 192  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^4 * R * S^-2 * R^-1 * S^6 ]

R17.34 :  Type {12,12}_4  Order 192  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-1 * S * R^-1 * S * R^-5 * S^2 * R^-1 ]

R17.35 :  Type {12,12}_8  Order 192  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^2 ]

R17.36 :  Type {12,12}_4  Order 192  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^12 ]

R17.37 :  Type {20,20}_4  Order 160  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-1 * R^12 * S^-1 * R * S^-2 * R ]

R17.38 :  Type {35,70}_2  Order 140  mV = 70  mF = 35   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^10 * R^-3 * T * R^7 * S^-1 * T * R^-1 * S * T * R^2 * T * R^-9 ]

R17.39 :  Type {36,36}_2  Order 144  mV = 36  mF = 36  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-2 * T * R^2 * T * R^-8 * T * R^3 * S^-8 * R ]

R17.40 :  Type {68,68}_2  Order 136  mV = 68  mF = 68  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^9 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-9 * R ]


R18.1 :  Type {4,21}_42  Order 336  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-21 ]

R18.2 :  Type {4,38}_76  Order 304  mV = 19  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^38 ]

R18.3 :  Type {4,72}_72  Order 288  mV = 72  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^18 * R^2 * S^18 ]

R18.4 :  Type {6,20}_60  Order 240  mV = 10  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^20 ]

R18.5 :  Type {8,14}_56  Order 224  mV = 7  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^14 ]

R18.6 :  Type {10,45}_18  Order 180  mV = 45  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^2 * R * S^-2 * R^-1 * S^5 ]

R18.7 :  Type {12,16}_48  Order 192  mV = 8  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-2 * T * S^2 * R^5 * S^-2 * T * S * R * S^-1 ]

R18.8 :  Type {14,42}_6  Order 168  mV = 42  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-2 * S^2 * R^-6 * S^4 ]

R18.9 :  Type {20,40}_8  Order 160  mV = 40  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^6 * S^-4 ]

R18.10 :  Type {21,21}_4  Order 168  mV = 7  mF = 7  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^7 * R^-1 * S * R^-8 * S^2 ]

R18.11 :  Type {26,39}_6  Order 156  mV = 39  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R * S^-3 * R^9 ]

R18.12 :  Type {37,74}_2  Order 148  mV = 74  mF = 37   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^9 * R^-3 * T * R^8 * T * R^-2 * T * R^2 * T * R^-11 * S ]

R18.13 :  Type {38,38}_2  Order 152  mV = 38  mF = 38  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-3 * T * R^2 * T * R^-7 * S * T * S^-13 ]

R18.14 :  Type {72,72}_2  Order 144  mV = 72  mF = 72  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-2 * T * R^2 * T * R^-8 * T * R^3 * S^-9 ]


R19.1 :  Type {3,12}_24  Order 864  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S ]

R19.2 :  Type {3,24}_6  Order 576  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ]

R19.3 :  Type {4,5}_8  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ]

R19.4 :  Type {4,7}_8  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R19.5 :  Type {4,8}_24  Order 576  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^6 ]

R19.6 :  Type {4,8}_24  Order 576  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ]

R19.7 :  Type {4,10}_6  Order 480  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2 ]

R19.8 :  Type {4,12}_6  Order 432  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, 
S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R19.9 :  Type {4,12}_6  Order 432  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R19.10 :  Type {4,40}_40  Order 320  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^40 ]

R19.11 :  Type {4,40}_40  Order 320  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R * S^-1 * R * S^9 ]

R19.12 :  Type {4,76}_38  Order 304  mV = 76  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^19 * R^2 * S^19 ]

R19.13 :  Type {5,5}_10  Order 720  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (R * S^-1)^4 ]

R19.14 :  Type {6,9}_18  Order 324  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-9 ]

R19.15 :  Type {6,9}_6  Order 324  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, (R^-2 * S)^3 ]

R19.16 :  Type {6,9}_18  Order 324  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 ]

R19.17 :  Type {6,9}_6  Order 324  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, 
(R^-2 * S)^3 ]

R19.18 :  Type {6,12}_6  Order 288  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ]

R19.19 :  Type {6,12}_6  Order 288  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-1 * R^2 * S^-1 * R^2 * S^-4 ]

R19.20 :  Type {6,12}_24  Order 288  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R19.21 :  Type {6,21}_42  Order 252  mV = 7  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-21 ]

R19.22 :  Type {6,57}_38  Order 228  mV = 57  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-10 * R^2 * S^-9 ]

R19.23 :  Type {7,7}_6  Order 336  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-1)^4, S^-7, 
(R^-2 * S)^3 ]

R19.24 :  Type {8,8}_12  Order 288  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R19.25 :  Type {8,8}_6  Order 288  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R19.26 :  Type {10,10}_6  Order 240  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-2 * R)^2, 
R^10 ]

R19.27 :  Type {12,12}_6  Order 216  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^4 * S^3 ]

R19.28 :  Type {12,12}_6  Order 216  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^4 * S^-3 ]

R19.29 :  Type {12,24}_8  Order 192  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^12 ]

R19.30 :  Type {12,24}_8  Order 192  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^12 ]

R19.31 :  Type {15,30}_6  Order 180  mV = 15  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-1 * S * R^-1 * S^2 * R^-9 * S ]

R19.32 :  Type {39,78}_2  Order 156  mV = 78  mF = 39   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^26 * T * S * R^-1 * T * R^2 * T * R^-7 * S * T * R ]

R19.33 :  Type {40,40}_4  Order 160  mV = 40  mF = 40  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 ]

R19.34 :  Type {40,40}_2  Order 160  mV = 40  mF = 40  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^25 * R^-1 * T * S^-1 * R^12 * T ]

R19.35 :  Type {76,76}_2  Order 152  mV = 76  mF = 76  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-3 * T * R^2 * T * R^-7 * S * T * S^-12 * R ]


R20.1 :  Type {4,42}_84  Order 336  mV = 21  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^42 ]

R20.2 :  Type {4,80}_80  Order 320  mV = 80  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^20 * R^2 * S^20 ]

R20.3 :  Type {6,22}_66  Order 264  mV = 11  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^22 ]

R20.4 :  Type {6,60}_20  Order 240  mV = 60  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^10 * R^2 * S^10 ]

R20.5 :  Type {8,9}_36  Order 288  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-9 ]

R20.6 :  Type {8,28}_56  Order 224  mV = 14  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^7 * R^3 * S^-2 * T * R^-1 * S^-1 * T * S^4 ]

R20.7 :  Type {10,12}_60  Order 240  mV = 6  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^12 ]

R20.8 :  Type {12,48}_16  Order 192  mV = 48  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^4 * R^2 * S^4 ]

R20.9 :  Type {18,45}_10  Order 180  mV = 45  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R^-4 * S^4 ]

R20.10 :  Type {22,44}_4  Order 176  mV = 44  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R^2 ]

R20.11 :  Type {41,82}_2  Order 164  mV = 82  mF = 41   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^11 * R^-28 * S ]

R20.12 :  Type {42,42}_2  Order 168  mV = 42  mF = 42  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^10 * R^-31 ]

R20.13 :  Type {80,80}_2  Order 160  mV = 80  mF = 80  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^26 * R^-1 * T * S^-1 * R^12 * T ]


R21.1 :  Type {3,16}_6  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^16 ]

R21.2 :  Type {3,16}_24  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ]

R21.3 :  Type {4,6}_20  Order 960  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R21.4 :  Type {4,12}_10  Order 480  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^4 ]

R21.5 :  Type {4,12}_10  Order 480  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R21.6 :  Type {4,24}_24  Order 384  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ]

R21.7 :  Type {4,24}_24  Order 384  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^24 ]

R21.8 :  Type {4,24}_12  Order 384  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3 ]

R21.9 :  Type {4,24}_6  Order 384  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R21.10 :  Type {4,24}_24  Order 384  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 ]

R21.11 :  Type {4,24}_12  Order 384  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^-1 * S^5 * R * S^-1 * R^2 * S^-6 ]

R21.12 :  Type {4,44}_44  Order 352  mV = 22  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^44 ]

R21.13 :  Type {4,84}_42  Order 336  mV = 84  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^21 * R^2 * S^21 ]

R21.14 :  Type {6,6}_6  Order 480  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-2 * R)^2 ]

R21.15 :  Type {6,8}_6  Order 384  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ]

R21.16 :  Type {6,8}_6  Order 384  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, 
S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S ]

R21.17 :  Type {6,8}_12  Order 384  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R * S^-1 * R^3 * S^2 * R^-2 ]

R21.18 :  Type {6,8}_24  Order 384  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 ]

R21.19 :  Type {6,8}_12  Order 384  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, 
(S * R^-1 * S)^3 ]

R21.20 :  Type {8,16}_16  Order 256  mV = 8  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^16 ]

R21.21 :  Type {8,16}_16  Order 256  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^16 ]

R21.22 :  Type {8,16}_16  Order 256  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^4 * R^-4 * S^4 ]

R21.23 :  Type {8,16}_16  Order 256  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-3 * R^4 * S^-5 ]

R21.24 :  Type {8,16}_16  Order 256  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R^-3 * S^-5 ]

R21.25 :  Type {8,16}_16  Order 256  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^3 * R * S^-1 * R * S^4 ]

R21.26 :  Type {8,16}_16  Order 256  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R^2 * S^-1 * R^2 * S^-3 ]

R21.27 :  Type {8,16}_16  Order 256  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^8 ]

R21.28 :  Type {8,56}_28  Order 224  mV = 56  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^7 * R^2 * S^7 ]

R21.29 :  Type {8,56}_14  Order 224  mV = 56  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^7 * R * S^-2 * R * S^5 ]

R21.30 :  Type {16,48}_12  Order 192  mV = 48  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^2 * S^-3 ]

R21.31 :  Type {16,48}_6  Order 192  mV = 48  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S * R^-1 * S * R^-12 ]

R21.32 :  Type {24,24}_8  Order 192  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-2 ]

R21.33 :  Type {24,24}_8  Order 192  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^4 * S * R^-2 ]

R21.34 :  Type {24,24}_4  Order 192  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-1 * S * R^-1 * S * R^-7 * S ]

R21.35 :  Type {24,24}_4  Order 192  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^10 * R^-1 * S * R^-8 * S^2 ]

R21.36 :  Type {24,24}_4  Order 192  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S * R^-2 * S * R^-1 * S * R^-16 * S ]

R21.37 :  Type {24,24}_4  Order 192  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S^-1 * R * S^-1 ]

R21.38 :  Type {43,86}_2  Order 172  mV = 86  mF = 43   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^14 * R^-28 ]

R21.39 :  Type {44,44}_2  Order 176  mV = 44  mF = 44  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^29 * R^-13 * S ]

R21.40 :  Type {84,84}_2  Order 168  mV = 84  mF = 84  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^10 * R^-30 * S ]


R22.1 :  Type {3,8}_42  Order 2016  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ]

R22.2 :  Type {3,8}_24  Order 2016  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 * R^-1 * S^2 ]

R22.3 :  Type {4,8}_14  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 ]

R22.4 :  Type {4,8}_6  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^3 ]

R22.5 :  Type {4,46}_92  Order 368  mV = 23  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^46 ]

R22.6 :  Type {4,88}_88  Order 352  mV = 88  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^22 * R^2 * S^22 ]

R22.7 :  Type {5,8}_6  Order 480  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, R^2 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ]

R22.8 :  Type {6,24}_24  Order 288  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^24 ]

R22.9 :  Type {6,24}_24  Order 288  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4 ]

R22.10 :  Type {6,24}_24  Order 288  mV = 8  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^24 ]

R22.11 :  Type {6,24}_12  Order 288  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ]

R22.12 :  Type {6,66}_22  Order 264  mV = 66  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^11 * R * S^-1 * R * S^10 ]

R22.13 :  Type {8,12}_8  Order 288  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-2 * R^4 * S^-4 ]

R22.14 :  Type {10,55}_22  Order 220  mV = 55  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-6 * R * S^3 * R^-1 * S^-2 ]

R22.15 :  Type {18,18}_6  Order 216  mV = 9  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^11 * S^-1 * R^5 ]

R22.16 :  Type {45,90}_2  Order 180  mV = 90  mF = 45   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^14 * R^-14 * S * R^-14 * S ]

R22.17 :  Type {46,46}_2  Order 184  mV = 46  mF = 46  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^30 * R^-15 ]

R22.18 :  Type {88,88}_2  Order 176  mV = 88  mF = 88  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^29 * R^-14 ]


R23.1 :  Type {4,48}_48  Order 384  mV = 24  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^48 ]

R23.2 :  Type {4,48}_48  Order 384  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R * S^-1 * R * S^11 ]

R23.3 :  Type {4,92}_46  Order 368  mV = 92  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^23 * R^2 * S^23 ]

R23.4 :  Type {6,69}_46  Order 276  mV = 69  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-12 * R * S * R^-1 * S^-10 ]

R23.5 :  Type {8,32}_32  Order 256  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^8 * R^4 * S^8 ]

R23.6 :  Type {8,32}_32  Order 256  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^8 * R * S^-1 * R * S^7 ]

R23.7 :  Type {12,20}_30  Order 240  mV = 10  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^-5 * R^6 * S^-5 ]

R23.8 :  Type {47,94}_2  Order 188  mV = 94  mF = 47   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^34 * R^-1 * S * R^-9 * S ]

R23.9 :  Type {48,48}_4  Order 192  mV = 48  mF = 48  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^2 * R^-2 * S * R^-1 * S * R^-17 ]

R23.10 :  Type {48,48}_2  Order 192  mV = 48  mF = 48  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^16 * T * R^-8 * S * T * S^-1 * R * S^-20 * R ]

R23.11 :  Type {92,92}_2  Order 184  mV = 92  mF = 92  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^30 * R^-14 * S ]


R24.1 :  Type {4,27}_54  Order 432  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-27 ]

R24.2 :  Type {4,50}_100  Order 400  mV = 25  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^50 ]

R24.3 :  Type {4,96}_96  Order 384  mV = 96  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^24 * R^2 * S^24 ]

R24.4 :  Type {6,26}_78  Order 312  mV = 13  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^26 ]

R24.5 :  Type {8,18}_36  Order 288  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-4 * R^4 * S^-5 ]

R24.6 :  Type {8,18}_72  Order 288  mV = 9  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^18 ]

R24.7 :  Type {10,14}_70  Order 280  mV = 7  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^14 ]

R24.8 :  Type {10,60}_12  Order 240  mV = 60  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-5 * R^-1 * S * R * S^-6 ]

R24.9 :  Type {12,30}_20  Order 240  mV = 15  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S * R * S^-7 * R * S^2 ]

R24.10 :  Type {14,56}_8  Order 224  mV = 56  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-11 * S ]

R24.11 :  Type {15,20}_6  Order 240  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R, S^-3 * R^-2 * S^-3 * R ]

R24.12 :  Type {26,52}_4  Order 208  mV = 52  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^4 * R^-2 * S * R^-1 * S * R^-17 ]

R24.13 :  Type {27,27}_4  Order 216  mV = 9  mF = 9  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^13 * R^-1 * S * R^-8 * S^2 ]

R24.14 :  Type {34,51}_6  Order 204  mV = 51  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^2 * R^-1 * S * R^-9 * S^2 * R^-1 ]

R24.15 :  Type {49,98}_2  Order 196  mV = 98  mF = 49   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^20 * T * R^11 * S^-1 * T * S * R^-1 * S * R^-12 * S ]

R24.16 :  Type {50,50}_2  Order 200  mV = 50  mF = 50  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^15 * S^-1 * R * S^-1 * T * S * R^-11 * T * S^-19 * R ]

R24.17 :  Type {96,96}_2  Order 192  mV = 96  mF = 96  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^16 * T * R^-8 * S * T * S^-1 * R * S^-21 ]


R25.1 :  Type {3,10}_8  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ]

R25.2 :  Type {3,12}_24  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 ]

R25.3 :  Type {3,12}_24  Order 1152  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R * S^-4 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 ]

R25.4 :  Type {3,24}_16  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2, S^-1 * R^-1 * S^5 * R^-1 * S^-6 ]

R25.5 :  Type {3,30}_10  Order 720  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, 
(S^-1 * R * S^-1)^5 ]

R25.6 :  Type {4,10}_20  Order 640  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 ]

R25.7 :  Type {4,10}_10  Order 640  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^10 ]

R25.8 :  Type {4,12}_4  Order 576  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^12 ]

R25.9 :  Type {4,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^16 ]

R25.10 :  Type {4,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R * S^4 ]

R25.11 :  Type {4,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ]

R25.12 :  Type {4,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R25.13 :  Type {4,16}_8  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ]

R25.14 :  Type {4,16}_4  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^8 ]

R25.15 :  Type {4,28}_28  Order 448  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^28 ]

R25.16 :  Type {4,52}_52  Order 416  mV = 26  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^52 ]

R25.17 :  Type {4,100}_50  Order 400  mV = 100  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^25 * R^2 * S^25 ]

R25.18 :  Type {6,6}_6  Order 576  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, 
S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^-2 * S * R^-1 * S^-2 * R ]

R25.19 :  Type {6,6}_24  Order 576  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R25.20 :  Type {6,9}_36  Order 432  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, 
S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ]

R25.21 :  Type {6,12}_8  Order 384  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2 ]

R25.22 :  Type {6,12}_8  Order 384  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, (R * S^-2)^4 ]

R25.23 :  Type {6,21}_28  Order 336  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-5 ]

R25.24 :  Type {6,27}_54  Order 324  mV = 9  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-27 ]

R25.25 :  Type {6,75}_50  Order 300  mV = 75  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-13 * R^2 * S^-12 ]

R25.26 :  Type {10,10}_4  Order 320  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^10, S^-1 * R^5 * S^-4 ]

R25.27 :  Type {10,10}_8  Order 320  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 ]

R25.28 :  Type {12,12}_12  Order 288  mV = 2  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^12 ]

R25.29 :  Type {12,12}_12  Order 288  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^12 ]

R25.30 :  Type {12,60}_10  Order 240  mV = 60  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^-5 * R^2 * S^-5 ]

R25.31 :  Type {15,30}_4  Order 240  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^15 ]

R25.32 :  Type {16,16}_8  Order 256  mV = 4  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S * R * S^-3 * R * S^4 ]

R25.33 :  Type {16,16}_8  Order 256  mV = 4  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-1 * R^11 * S^-2 * R * S^-1 ]

R25.34 :  Type {16,16}_8  Order 256  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^7 * S^3 ]

R25.35 :  Type {16,16}_8  Order 256  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^3 * R * S^-1 * R * S^4 ]

R25.36 :  Type {16,16}_4  Order 256  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ]

R25.37 :  Type {16,16}_8  Order 256  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ]

R25.38 :  Type {16,16}_4  Order 256  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^2 * S^-3 * R^8 * S^-1 * R^2 ]

R25.39 :  Type {16,16}_8  Order 256  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S * R * S^-1 * R^2 * S^2 * R^-1 ]

R25.40 :  Type {22,55}_10  Order 220  mV = 55  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-6 * S^5 ]

R25.41 :  Type {28,28}_4  Order 224  mV = 14  mF = 14  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^22 * S^-1 * R * S^-1 * R^3 ]

R25.42 :  Type {51,102}_2  Order 204  mV = 102  mF = 51   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^34 * T * R^12 * S^-1 * T * S * R^-2 ]

R25.43 :  Type {52,52}_2  Order 208  mV = 52  mF = 52  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^18 * S^-1 * T * S * R^-11 * T * S^-20 * R ]

R25.44 :  Type {100,100}_2  Order 200  mV = 100  mF = 100  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^15 * S^-1 * R * S^-1 * T * S * R^-11 * T * S^-20 ]


R26.1 :  Type {3,10}_30  Order 1500  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S ]

R26.2 :  Type {3,11}_10  Order 1320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-11, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ]

R26.3 :  Type {4,54}_108  Order 432  mV = 27  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^54 ]

R26.4 :  Type {4,104}_104  Order 416  mV = 104  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^26 * R^2 * S^26 ]

R26.5 :  Type {5,10}_10  Order 500  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ]

R26.6 :  Type {6,6}_10  Order 600  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R^-2 * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S ]

R26.7 :  Type {6,28}_84  Order 336  mV = 14  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^28 ]

R26.8 :  Type {6,78}_26  Order 312  mV = 78  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^13 * R^2 * S^13 ]

R26.9 :  Type {8,36}_72  Order 288  mV = 18  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^9 * R^-3 * S^-5 * R * S^4 ]

R26.10 :  Type {10,15}_30  Order 300  mV = 3  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-15 ]

R26.11 :  Type {10,65}_26  Order 260  mV = 65  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-7 * R^2 * S^-6 ]

R26.12 :  Type {20,30}_12  Order 240  mV = 15  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^4 * S^-4 ]

R26.13 :  Type {28,56}_8  Order 224  mV = 56  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-8 * S^3 * R^-1 ]

R26.14 :  Type {53,106}_2  Order 212  mV = 106  mF = 53   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^21 * T * R^11 * S^-1 * T * S * R^-17 * S ]

R26.15 :  Type {54,54}_2  Order 216  mV = 54  mF = 54  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^20 * T * R^-12 * S * T * S^-21 ]

R26.16 :  Type {104,104}_2  Order 208  mV = 104  mF = 104  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^18 * S^-1 * T * S * R^-11 * T * S^-21 ]


R27.1 :  Type {4,30}_30  Order 480  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^30 ]

R27.2 :  Type {4,56}_56  Order 448  mV = 28  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^56 ]

R27.3 :  Type {4,56}_56  Order 448  mV = 28  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R * S^-1 * R * S^13 ]

R27.4 :  Type {4,108}_54  Order 432  mV = 108  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^27 * R^2 * S^27 ]

R27.5 :  Type {5,12}_20  Order 480  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-2 * R * S^3, 
S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R ]

R27.6 :  Type {8,20}_40  Order 320  mV = 10  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^20 ]

R27.7 :  Type {8,20}_40  Order 320  mV = 5  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^20 ]

R27.8 :  Type {8,72}_36  Order 288  mV = 72  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^9 * R * S^-2 * R * S^7 ]

R27.9 :  Type {8,72}_18  Order 288  mV = 72  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^9 * R^2 * S^9 ]

R27.10 :  Type {9,36}_8  Order 288  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-9 ]

R27.11 :  Type {14,63}_18  Order 252  mV = 63  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^-2 * S^-5 ]

R27.12 :  Type {20,60}_6  Order 240  mV = 60  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-1 * R^15 * S^-2 * R * S^-1 ]

R27.13 :  Type {30,30}_4  Order 240  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^15 * S^-2 * R^11 ]

R27.14 :  Type {38,57}_6  Order 228  mV = 57  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-1 * R^16 * S^-2 ]

R27.15 :  Type {55,110}_2  Order 220  mV = 110  mF = 55   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^37 * T * R^13 * S^-1 * T * R^-1 * S^2 ]

R27.16 :  Type {56,56}_4  Order 224  mV = 56  mF = 56  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^21 * S^-1 * R * S^-1 * R^2 * S^-1 ]

R27.17 :  Type {56,56}_2  Order 224  mV = 56  mF = 56  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^39 * T * R^12 * S^-1 * T * R^-1 * S^2 ]

R27.18 :  Type {108,108}_2  Order 216  mV = 108  mF = 108  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^20 * T * R^-12 * S * T * S^-20 * R ]


R28.1 :  Type {3,12}_18  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S * R * S^-2 * R^-1 * S^2 * R^2 * S^-2 * R * S^3 ]

R28.2 :  Type {3,12}_18  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S^3)^3, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S ]

R28.3 :  Type {3,18}_18  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S * R^-1 * S^3)^3, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-3 * R * S^-2 * R * S^-1 ]

R28.4 :  Type {3,18}_6  Order 972  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^18 ]

R28.5 :  Type {3,24}_12  Order 864  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^3, S^5 * R * S^-2 * R * S^-2 * R * S^5 ]

R28.6 :  Type {4,6}_12  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ]

R28.7 :  Type {4,58}_116  Order 464  mV = 29  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^58 ]

R28.8 :  Type {4,112}_112  Order 448  mV = 112  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^28 * R^2 * S^28 ]

R28.9 :  Type {6,6}_6  Order 648  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ]

R28.10 :  Type {6,6}_6  Order 648  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R28.11 :  Type {6,6}_18  Order 648  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1 ]

R28.12 :  Type {6,6}_18  Order 648  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R^-1 * S * R^-1 * S * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S * R^-2 ]

R28.13 :  Type {6,12}_4  Order 432  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R28.14 :  Type {6,12}_12  Order 432  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 ]

R28.15 :  Type {6,12}_4  Order 432  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ]

R28.16 :  Type {6,12}_12  Order 432  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, (R * S^-3)^2 ]

R28.17 :  Type {6,12}_12  Order 432  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R28.18 :  Type {6,12}_12  Order 432  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^12 ]

R28.19 :  Type {6,12}_12  Order 432  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 ]

R28.20 :  Type {6,12}_12  Order 432  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 ]

R28.21 :  Type {6,30}_30  Order 360  mV = 15  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^4 * R * S^-1 * R * S^5 ]

R28.22 :  Type {6,30}_30  Order 360  mV = 10  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^30 ]

R28.23 :  Type {6,30}_30  Order 360  mV = 15  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^30 ]

R28.24 :  Type {6,84}_28  Order 336  mV = 84  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^14 * R * S^-1 * R * S^13 ]

R28.25 :  Type {9,18}_18  Order 324  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-9 ]

R28.26 :  Type {9,18}_6  Order 324  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, (S * R^-1 * S)^3 ]

R28.27 :  Type {9,18}_6  Order 324  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^-2 * R^-3 * S^-4, (S * R^-1 * S)^3 ]

R28.28 :  Type {10,16}_80  Order 320  mV = 8  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^16 ]

R28.29 :  Type {10,70}_14  Order 280  mV = 70  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^7 * R * S^-1 * R * S^6 ]

R28.30 :  Type {12,24}_24  Order 288  mV = 8  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ]

R28.31 :  Type {12,24}_24  Order 288  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^-6 * R^-6 * S^-6 ]

R28.32 :  Type {12,24}_24  Order 288  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R^5 * S * R^-1 * S^-2 ]

R28.33 :  Type {18,63}_14  Order 252  mV = 63  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-2 * S^4 ]

R28.34 :  Type {21,42}_6  Order 252  mV = 21  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^2 * S^-1 * R^3 * S^-2 * R^10 * S^-1 * R^2 ]

R28.35 :  Type {30,60}_4  Order 240  mV = 60  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^23 * S^-2 * R * S^-2 * R^2 ]

R28.36 :  Type {57,114}_2  Order 228  mV = 114  mF = 57   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^19 * R^-36 * S ]

R28.37 :  Type {58,58}_2  Order 232  mV = 58  mF = 58  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^38 * S^-20 ]

R28.38 :  Type {112,112}_2  Order 224  mV = 112  mF = 112  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^39 * T * R^12 * S^-1 * T * R^-1 * S * R^-1 ]


R29.1 :  Type {4,6}_8  Order 1344  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-2 * R * S^-1 * R * S^-1)^2 ]

R29.2 :  Type {4,18}_36  Order 576  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^18 ]

R29.3 :  Type {4,32}_32  Order 512  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^32 ]

R29.4 :  Type {4,32}_32  Order 512  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-8 * R^2 * S^-1 * R * S^5 * R^-1 * S^-2 ]

R29.5 :  Type {4,60}_60  Order 480  mV = 30  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^60 ]

R29.6 :  Type {4,116}_58  Order 464  mV = 116  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^29 * R^2 * S^29 ]

R29.7 :  Type {5,8}_20  Order 640  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1)^4, (R * S^-3)^2 ]

R29.8 :  Type {5,8}_10  Order 640  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 ]

R29.9 :  Type {6,6}_8  Order 672  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ]

R29.10 :  Type {6,10}_10  Order 480  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-4)^2 ]

R29.11 :  Type {6,10}_4  Order 480  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, (R * S^-3 * R)^2 ]

R29.12 :  Type {6,10}_8  Order 480  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 ]

R29.13 :  Type {6,24}_8  Order 384  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ]

R29.14 :  Type {6,24}_4  Order 384  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S^4 ]

R29.15 :  Type {6,87}_58  Order 348  mV = 87  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-15 * R * S * R^-1 * S^-13 ]

R29.16 :  Type {8,12}_12  Order 384  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^12 ]

R29.17 :  Type {8,12}_12  Order 384  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ]

R29.18 :  Type {8,12}_12  Order 384  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^12 ]

R29.19 :  Type {8,12}_6  Order 384  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^3 * S^2 * R^-1 * S^-1, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ]

R29.20 :  Type {8,12}_12  Order 384  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1 ]

R29.21 :  Type {8,12}_24  Order 384  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, S * R * S^-2 * R^2 * S^-2 * R * S ]

R29.22 :  Type {8,12}_24  Order 384  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 ]

R29.23 :  Type {8,12}_12  Order 384  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 ]

R29.24 :  Type {8,40}_20  Order 320  mV = 20  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^10 * R^-3 * S^-3 * T * R^-1 * S^-1 * T * S^6 ]

R29.25 :  Type {8,40}_20  Order 320  mV = 20  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^10 * R * S^-1 * R * S^9 ]

R29.26 :  Type {18,18}_4  Order 288  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-1 * S * R^-2 * S * R^-9 * S * R^-2 ]

R29.27 :  Type {32,32}_4  Order 256  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^7 * R^-1 * S^3 * R^-2 * S * R^-17 * S ]

R29.28 :  Type {32,32}_8  Order 256  mV = 16  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^12 * S^-4 ]

R29.29 :  Type {32,32}_4  Order 256  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-3 * R^8 * S^-2 * R ]

R29.30 :  Type {59,118}_2  Order 236  mV = 118  mF = 59   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^43 * S^-1 * R * T * S * R^-13 * T ]

R29.31 :  Type {60,60}_2  Order 240  mV = 60  mF = 60  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^37 * S^-22 * R ]

R29.32 :  Type {116,116}_2  Order 232  mV = 116  mF = 116  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^38 * S^-19 * R ]


R30.1 :  Type {4,33}_66  Order 528  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-33 ]

R30.2 :  Type {4,62}_124  Order 496  mV = 31  mF = 2   
Defining relations for automorphism group:

[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^62 ]

R30.3 :  Type {4,120}_120  Order 480  mV = 120  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^30 * R^2 * S^30 ]

R30.4 :  Type {6,32}_96  Order 384  mV = 16  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^32 ]

R30.5 :  Type {8,22}_88  Order 352  mV = 11  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^22 ]

R30.6 :  Type {12,14}_84  Order 336  mV = 7  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^14 ]

R30.7 :  Type {14,70}_10  Order 280  mV = 70  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^-1 * S^4 * R^-5 * S^4 ]

R30.8 :  Type {22,66}_6  Order 264  mV = 66  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-1 * S^3 * R^-15 * S ]

R30.9 :  Type {26,65}_10  Order 260  mV = 65  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^-8 * S^5 ]

R30.10 :  Type {33,33}_4  Order 264  mV = 11  mF = 11  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^18 * S^-2 * R^11 ]

R30.11 :  Type {61,122}_2  Order 244  mV = 122  mF = 61   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^24 * R^-15 * S * R^-19 * S ]

R30.12 :  Type {62,62}_2  Order 248  mV = 62  mF = 62  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^21 * S^-1 * R^15 * S^-25 ]

R30.13 :  Type {120,120}_2  Order 240  mV = 120  mF = 120  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^37 * S^-23 ]


R31.1 :  Type {3,21}_8  Order 1008  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-7 * R^-1 * S^6 * R^-1 * S^-1, S^3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S ]

R31.2 :  Type {3,30}_6  Order 900  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^2 * R * S^-9 * R * S^9 ]

R31.3 :  Type {4,6}_30  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ]

R31.4 :  Type {4,14}_8  Order 672  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-2 * R^-1 * S^5 ]

R31.5 :  Type {4,14}_8  Order 672  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ]

R31.6 :  Type {4,24}_8  Order 576  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
(R * S^-1)^6 ]

R31.7 :  Type {4,24}_8  Order 576  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
S * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^3 * R^-1 ]

R31.8 :  Type {4,64}_64  Order 512  mV = 32  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^64 ]

R31.9 :  Type {4,64}_64  Order 512  mV = 32  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R * S^-1 * R * S^15 ]

R31.10 :  Type {4,124}_62  Order 496  mV = 124  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^31 * R^2 * S^31 ]

R31.11 :  Type {5,20}_12  Order 480  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S * R^-1 * S)^3, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ]

R31.12 :  Type {6,6}_6  Order 720  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ]

R31.13 :  Type {6,33}_66  Order 396  mV = 11  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-33 ]

R31.14 :  Type {6,93}_62  Order 372  mV = 93  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-16 * R^2 * S^-15 ]

R31.15 :  Type {15,30}_10  Order 300  mV = 15  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, R^9 * S^-1 * R^4 * S^-1 ]

R31.16 :  Type {18,36}_8  Order 288  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-4 * S^2 * R^-1 * S ]

R31.17 :  Type {24,24}_12  Order 288  mV = 8  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^6 * S^-5 ]

R31.18 :  Type {24,24}_12  Order 288  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^6 * S^-5 ]

R31.19 :  Type {24,24}_6  Order 288  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R^6 * S^5 ]

R31.20 :  Type {24,24}_6  Order 288  mV = 12  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-4 * S * R^-1 ]

R31.21 :  Type {63,126}_2  Order 252  mV = 126  mF = 63   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^23 * R^-15 * S * R^-23 ]

R31.22 :  Type {64,64}_4  Order 256  mV = 64  mF = 64  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^6 * R^-1 * S^3 * R^-2 * S * R^-18 ]

R31.23 :  Type {64,64}_2  Order 256  mV = 64  mF = 64  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * R^-15 * S ]

R31.24 :  Type {124,124}_2  Order 248  mV = 124  mF = 124  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^21 * S^-1 * R^15 * S^-24 * R ]


R32.1 :  Type {4,66}_132  Order 528  mV = 33  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^66 ]

R32.2 :  Type {4,128}_128  Order 512  mV = 128  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^32 * R^2 * S^32 ]

R32.3 :  Type {6,34}_102  Order 408  mV = 17  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^34 ]

R32.4 :  Type {6,96}_32  Order 384  mV = 96  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^16 * R^2 * S^16 ]

R32.5 :  Type {8,44}_88  Order 352  mV = 22  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^11 * R * S^-4 * T * R^-3 * T * S^7 ]

R32.6 :  Type {10,18}_90  Order 360  mV = 9  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^18 ]

R32.7 :  Type {10,80}_16  Order 320  mV = 80  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^8 * R * S^-2 * R * S^6 ]

R32.8 :  Type {16,20}_80  Order 320  mV = 10  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R^2 * S * T * S^-3 * R^-6 * S^-1 * T * S^4 ]

R32.9 :  Type {18,72}_8  Order 288  mV = 72  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^11 * S^-3 * R * S^-1 ]

R32.10 :  Type {34,68}_4  Order 272  mV = 68  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^8 * R^-1 * S^3 * R^-2 * S * R^-18 ]

R32.11 :  Type {65,130}_2  Order 260  mV = 130  mF = 65   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * T * R^13 * S^-1 * T * R^-1 * S^2 ]

R32.12 :  Type {66,66}_2  Order 264  mV = 66  mF = 66  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ]

R32.13 :  Type {128,128}_2  Order 256  mV = 128  mF = 128  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * R^-16 ]


R33.1 :  Type {3,8}_24  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S ]

R33.2 :  Type {3,12}_16  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, (S * R^-1 * S)^8 ]

R33.3 :  Type {3,12}_8  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ]

R33.4 :  Type {3,12}_16  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-3 * R * S^-2 ]

R33.5 :  Type {4,6}_6  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^8, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ]

R33.6 :  Type {4,6}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ]

R33.7 :  Type {4,6}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, R * S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ]

R33.8 :  Type {4,6}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ]

R33.9 :  Type {4,8}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^8 ]

R33.10 :  Type {4,8}_16  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S ]

R33.11 :  Type {4,8}_8  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ]

R33.12 :  Type {4,8}_8  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ]

R33.13 :  Type {4,8}_8  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-2 * R ]

R33.14 :  Type {4,8}_16  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 ]

R33.15 :  Type {4,8}_16  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R33.16 :  Type {4,8}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ]

R33.17 :  Type {4,12}_6  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ]

R33.18 :  Type {4,12}_12  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S ]

R33.19 :  Type {4,12}_6  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4 ]

R33.20 :  Type {4,12}_12  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S ]

R33.21 :  Type {4,12}_12  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ]

R33.22 :  Type {4,12}_24  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 ]

R33.23 :  Type {4,12}_24  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ]

R33.24 :  Type {4,12}_24  Order 768  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, 
S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ]

R33.25 :  Type {4,20}_40  Order 640  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^20 ]

R33.26 :  Type {4,36}_36  Order 576  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^36 ]

R33.27 :  Type {4,36}_18  Order 576  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ]

R33.28 :  Type {4,36}_36  Order 576  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 ]

R33.29 :  Type {4,68}_68  Order 544  mV = 34  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^68 ]

R33.30 :  Type {4,132}_66  Order 528  mV = 132  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^33 * R^2 * S^33 ]

R33.31 :  Type {5,10}_8  Order 640  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S * R * S^-2 * R^-2 * S * R^-2 * S^2 ]

R33.32 :  Type {6,6}_8  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1 * R)^4 ]

R33.33 :  Type {6,6}_4  Order 768  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R)^4 ]

R33.34 :  Type {6,6}_8  Order 768  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ]

R33.35 :  Type {6,6}_8  Order 768  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4 ]

R33.36 :  Type {6,6}_8  Order 768  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, 
(S^-1 * R^2 * S^-1)^3 ]

R33.37 :  Type {6,7}_14  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-7 ]

R33.38 :  Type {6,7}_8  Order 672  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-7,
(R * S^-2)^4 ]

R33.39 :  Type {8,8}_8  Order 512  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^8 ]

R33.40 :  Type {8,8}_8  Order 512  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 ]

R33.41 :  Type {8,8}_8  Order 512  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^8 ]

R33.42 :  Type {8,8}_8  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 ]

R33.43 :  Type {8,8}_8  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 ]

R33.44 :  Type {8,8}_8  Order 512  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1 ]

R33.45 :  Type {8,8}_8  Order 512  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ]

R33.46 :  Type {8,8}_8  Order 512  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^8, S^3 * R^3 * S^3 * R^-1 ]

R33.47 :  Type {8,8}_8  Order 512  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R ]

R33.48 :  Type {8,8}_16  Order 512  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R^-1 * S * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^2 ]

R33.49 :  Type {8,8}_8  Order 512  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R^-1 * S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S ]

R33.50 :  Type {8,8}_4  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ]

R33.51 :  Type {8,8}_8  Order 512  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^8, S * R * S^-1 * R^3 * S * R^-2 * S ]

R33.52 :  Type {8,8}_8  Order 512  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S^8, S * R * S^-1 * R^3 * S * R^-2 * S ]

R33.53 :  Type {8,8}_4  Order 512  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4 ]

R33.54 :  Type {8,24}_6  Order 384  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R * S^3 ]

R33.55 :  Type {8,24}_12  Order 384  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^3 * S^2 * R^-1 * S^-1 ]

R33.56 :  Type {8,24}_24  Order 384  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ]

R33.57 :  Type {8,24}_24  Order 384  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-5 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-5 ]

R33.58 :  Type {8,24}_24  Order 384  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^24 ]

R33.59 :  Type {8,24}_24  Order 384  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^24 ]

R33.60 :  Type {8,24}_24  Order 384  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^5 * R * S^-1 * R^-3 * S^6 ]

R33.61 :  Type {8,24}_12  Order 384  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^6 * R^4 * S^6 ]

R33.62 :  Type {8,24}_24  Order 384  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^6 * R^4 * S^6 ]

R33.63 :  Type {8,24}_24  Order 384  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-5 * R^-1 * S * R^-1 * S^-6 ]

R33.64 :  Type {8,88}_22  Order 352  mV = 88  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^11 * R * S^-2 * R * S^9 ]

R33.65 :  Type {8,88}_44  Order 352  mV = 88  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^11 * R^2 * S^11 ]

R33.66 :  Type {12,12}_8  Order 384  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-1 * S * R^-1, R * S^-1 * R^4 * S^-1 * R * S^2 ]

R33.67 :  Type {12,12}_8  Order 384  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^4 * S^-1 * R * S^2 ]

R33.68 :  Type {12,12}_4  Order 384  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-1 * R^6 * S^-5 ]

R33.69 :  Type {12,12}_4  Order 384  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-1 * S * R^-1, R^12 ]

R33.70 :  Type {12,12}_8  Order 384  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^12 ]

R33.71 :  Type {12,12}_4  Order 384  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^12 ]

R33.72 :  Type {12,12}_8  Order 384  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, 
R^12 ]

R33.73 :  Type {12,12}_8  Order 384  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R^2 * S^3 * R^-1 ]

R33.74 :  Type {12,12}_8  Order 384  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12 ]

R33.75 :  Type {12,28}_42  Order 336  mV = 14  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^7 * R^6 * S^2 * T * S^-2 * T * S^3 ]

R33.76 :  Type {14,77}_22  Order 308  mV = 77  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R * S^-2 * R^-1 * S^6 ]

R33.77 :  Type {20,20}_4  Order 320  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S^2 * R^-1 * S * R^-8 * S^2 * R^-2 * S^2 ]

R33.78 :  Type {36,36}_4  Order 288  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-2 * S * R^-2 * S * R^-9 * S^3 ]

R33.79 :  Type {36,36}_4  Order 288  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^21 * S^-2 * R^11 ]

R33.80 :  Type {36,36}_4  Order 288  mV = 18  mF = 18  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^9 * R^-3 * S * R^-1 * S * R^-19 * S ]

R33.81 :  Type {46,69}_6  Order 276  mV = 69  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^2 * R^-1 * S^3 * R^-14 * S^2 ]

R33.82 :  Type {67,134}_2  Order 268  mV = 134  mF = 67   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^49 * T * R^13 * S^-1 * T * R^-1 * S^2 ]

R33.83 :  Type {68,68}_2  Order 272  mV = 68  mF = 68  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^50 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ]

R33.84 :  Type {132,132}_2  Order 264  mV = 132  mF = 132  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * R^13 * S^-1 * T * R^-1 * S^2 ]


R34.1 :  Type {4,5}_22  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R^-1 * S * R^-1 * S^2)^3 ]

R34.2 :  Type {4,5}_12  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ]

R34.3 :  Type {4,15}_6  Order 720  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ]

R34.4 :  Type {4,70}_140  Order 560  mV = 35  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^70 ]

R34.5 :  Type {4,136}_136  Order 544  mV = 136  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^34 * R^2 * S^34 ]

R34.6 :  Type {5,5}_12  Order 1320  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (S^-1 * R^2 * S^-1)^3 ]

R34.7 :  Type {5,5}_10  Order 1320  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (R * S^-1)^6, 
R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 ]

R34.8 :  Type {6,36}_36  Order 432  mV = 18  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^36 ]

R34.9 :  Type {6,36}_36  Order 432  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^36 ]

R34.10 :  Type {6,102}_34  Order 408  mV = 102  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^17 * R * S^-1 * R * S^16 ]

R34.11 :  Type {8,10}_6  Order 480  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ]

R34.12 :  Type {9,12}_18  Order 432  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ]

R34.13 :  Type {10,85}_34  Order 340  mV = 85  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-9 * R * S * R^-1 * S^-7 ]

R34.14 :  Type {12,42}_28  Order 336  mV = 21  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^7 * R * S^-3 * R * S^4 ]

R34.15 :  Type {15,15}_6  Order 360  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-3 * S^-2 * R^2 ]

R34.16 :  Type {36,72}_8  Order 288  mV = 72  mF = 18   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^13 * S^-4 * R ]

R34.17 :  Type {69,138}_2  Order 276  mV = 138  mF = 69   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^51 * T * R^13 * S^-1 * T * R^-1 * S^2 ]

R34.18 :  Type {70,70}_2  Order 280  mV = 70  mF = 70  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^52 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ]

R34.19 :  Type {136,136}_2  Order 272  mV = 136  mF = 136  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^50 * T * R^13 * S^-1 * T * R^-1 * S^2 ]


R35.1 :  Type {4,72}_72  Order 576  mV = 36  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^72 ]

R35.2 :  Type {4,72}_72  Order 576  mV = 36  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^18 * R * S^-1 * R * S^17 ]

R35.3 :  Type {4,140}_70  Order 560  mV = 140  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^35 * R^2 * S^35 ]

R35.4 :  Type {6,20}_30  Order 480  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-6 ]

R35.5 :  Type {6,20}_20  Order 480  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-4 * R^-2 * S^-4 * R ]

R35.6 :  Type {6,105}_70  Order 420  mV = 105  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-18 * R * S * R^-1 * S^-16 ]

R35.7 :  Type {8,48}_48  Order 384  mV = 24  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^12 * R^2 * S^3 * T * S^-1 * R^-2 * T * S^8 ]

R35.8 :  Type {8,48}_48  Order 384  mV = 24  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^12 * R * S^-1 * R * S^11 ]

R35.9 :  Type {12,16}_48  Order 384  mV = 8  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^16 ]

R35.10 :  Type {12,16}_48  Order 384  mV = 8  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^3 * R * S^-1 * R * S^4, R^12 ]

R35.11 :  Type {12,84}_14  Order 336  mV = 84  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^7 * R^2 * S^7 ]

R35.12 :  Type {16,80}_20  Order 320  mV = 80  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^2 * S^5 ]

R35.13 :  Type {16,80}_10  Order 320  mV = 80  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, S^-2 * R^9 * S^-3 * R * S^-1 ]

R35.14 :  Type {20,40}_8  Order 320  mV = 20  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^13 * S^-3 * R * S^-1 ]

R35.15 :  Type {20,40}_8  Order 320  mV = 20  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^6 * S^-1 * R^11 * S^-1 * R ]

R35.16 :  Type {22,77}_14  Order 308  mV = 77  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-4 * S^5 ]

R35.17 :  Type {71,142}_2  Order 284  mV = 142  mF = 71   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^53 * T * R^13 * S^-1 * T * R^-1 * S^2 ]

R35.18 :  Type {72,72}_4  Order 288  mV = 72  mF = 72  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^10 * R^-3 * S * R^-1 * S * R^-20 ]

R35.19 :  Type {72,72}_2  Order 288  mV = 72  mF = 72  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^54 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ]

R35.20 :  Type {140,140}_2  Order 280  mV = 140  mF = 140  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^52 * T * R^13 * S^-1 * T * R^-1 * S^2 ]


R36.1 :  Type {3,16}_28  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ]

R36.2 :  Type {3,16}_16  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-3 * R^-1 * S^4 * R^-1 * S^-3 * R * S^-1 ]

R36.3 :  Type {3,20}_6  Order 1200  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^20 ]

R36.4 :  Type {4,14}_4  Order 784  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^14 ]

R36.5 :  Type {4,39}_78  Order 624  mV = 13  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-39 ]

R36.6 :  Type {4,74}_148  Order 592  mV = 37  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^74 ]

R36.7 :  Type {4,144}_144  Order 576  mV = 144  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^36 * R^2 * S^36 ]

R36.8 :  Type {5,15}_10  Order 600  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-2 * R * S^3, 
(S^-1 * R)^5 ]

R36.9 :  Type {6,8}_4  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2 * R * S^-1)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2 ]

R36.10 :  Type {6,8}_6  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^8, (R * S^-3 * R)^2 ]

R36.11 :  Type {6,10}_6  Order 600  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^10 ]

R36.12 :  Type {6,10}_6  Order 600  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, 
S^10 ]

R36.13 :  Type {6,38}_114  Order 456  mV = 19  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^38 ]

R36.14 :  Type {8,26}_104  Order 416  mV = 13  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^26 ]

R36.15 :  Type {10,20}_20  Order 400  mV = 4  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^20 ]

R36.16 :  Type {10,20}_20  Order 400  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^20 ]

R36.17 :  Type {10,20}_20  Order 400  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^10 ]

R36.18 :  Type {10,90}_18  Order 360  mV = 90  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^9 * R * S^-3 * R * S^6 ]

R36.19 :  Type {14,14}_14  Order 392  mV = 7  mF = 7  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^14 ]

R36.20 :  Type {14,14}_14  Order 392  mV = 7  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^14, (R * S^-1 * R^5)^2 ]

R36.21 :  Type {14,84}_12  Order 336  mV = 84  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-5 * S^4, S^5 * R * S^-5 * R * S^2 ]

R36.22 :  Type {20,80}_16  Order 320  mV = 80  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^2 * S^-4 ]

R36.23 :  Type {21,28}_6  Order 336  mV = 7  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-3 * S^3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R36.24 :  Type {26,78}_6  Order 312  mV = 78  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^18 * S^-1 * R^3 * S^-1 * R^3 ]

R36.25 :  Type {38,76}_4  Order 304  mV = 76  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^12 * R^-3 * S * R^-1 * S * R^-20 ]

R36.26 :  Type {39,39}_4  Order 312  mV = 13  mF = 13  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^24 * S^-2 * R^11 ]

R36.27 :  Type {50,75}_6  Order 300  mV = 75  mF = 25   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-1 * S * R^-3 * S * R^-16 * S ]

R36.28 :  Type {73,146}_2  Order 292  mV = 146  mF = 73   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^55 * T * R^14 * T * R^-2 * S ]

R36.29 :  Type {74,74}_2  Order 296  mV = 74  mF = 74  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * T * R^14 * T * R^-3 ]

R36.30 :  Type {144,144}_2  Order 288  mV = 144  mF = 144  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^54 * T * R^13 * S^-1 * T * R^-1 * S^2 ]


R37.1 :  Type {3,12}_12  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S^3)^3, (S * R^-1 * S)^6 ]

R37.2 :  Type {3,15}_20  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, S^-15 ]

R37.3 :  Type {3,18}_12  Order 1296  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-3 * R * S^-2, (S * R^-1 * S)^6 ]

R37.4 :  Type {3,18}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^5 * R^2 * S^-6, (S * R^-1 * S^3)^3, (S * R^-1 * S)^6 ]

R37.5 :  Type {3,24}_12  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-4 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S^7 ]

R37.6 :  Type {3,24}_24  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 ]

R37.7 :  Type {3,24}_12  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^3, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ]

R37.8 :  Type {4,6}_12  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ]

R37.9 :  Type {4,8}_12  Order 1152  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^8, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R37.10 :  Type {4,8}_6  Order 1152  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6, (R * S^-2)^4, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-3 ]

R37.11 :  Type {4,8}_12  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ]

R37.12 :  Type {4,8}_24  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ]

R37.13 :  Type {4,10}_12  Order 960  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R37.14 :  Type {4,12}_12  Order 864  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^12 ]

R37.15 :  Type {4,12}_12  Order 864  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, 
S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (R * S^-1)^6 ]

R37.16 :  Type {4,12}_12  Order 864  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^12 ]

R37.17 :  Type {4,12}_12  Order 864  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1 ]

R37.18 :  Type {4,20}_30  Order 720  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^-2 * R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-2 ]

R37.19 :  Type {4,40}_40  Order 640  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^40 ]

R37.20 :  Type {4,40}_20  Order 640  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^10 * R^2 * S^5 * R^-1 * S^-1 * R * S^4 ]

R37.21 :  Type {4,76}_76  Order 608  mV = 38  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^76 ]

R37.22 :  Type {4,148}_74  Order 592  mV = 148  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^37 * R^2 * S^37 ]

R37.23 :  Type {6,6}_12  Order 864  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R37.24 :  Type {6,6}_12  Order 864  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-2 ]

R37.25 :  Type {6,12}_24  Order 576  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R37.26 :  Type {6,12}_12  Order 576  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R37.27 :  Type {6,12}_12  Order 576  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S * R * S^-3 * R * S^4 ]

R37.28 :  Type {6,12}_24  Order 576  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, 
S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ]

R37.29 :  Type {6,12}_12  Order 576  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^12 ]

R37.30 :  Type {6,12}_12  Order 576  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^12 ]

R37.31 :  Type {6,15}_30  Order 540  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-15 ]

R37.32 :  Type {6,30}_20  Order 480  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S^4 * R^2 * S * R^-1 * S^-5 ]

R37.33 :  Type {6,39}_78  Order 468  mV = 13  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-39 ]

R37.34 :  Type {6,111}_74  Order 444  mV = 111  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-19 * R^2 * S^-18 ]

R37.35 :  Type {8,8}_12  Order 576  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ]

R37.36 :  Type {8,8}_12  Order 576  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^6 ]

R37.37 :  Type {9,18}_12  Order 432  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ]

R37.38 :  Type {10,10}_6  Order 480  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^10, (R * S^-1 * R^3)^2 ]

R37.39 :  Type {12,12}_6  Order 432  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R37.40 :  Type {12,12}_6  Order 432  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R37.41 :  Type {12,12}_6  Order 432  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12 ]

R37.42 :  Type {12,12}_6  Order 432  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, S^-1 * R^6 * S^-5 ]

R37.43 :  Type {12,12}_6  Order 432  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^-1 * R^6 * S^-5 ]

R37.44 :  Type {12,24}_8  Order 384  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, R * S^-1 * R^4 * S^-1 * R * S^2 ]

R37.45 :  Type {12,24}_4  Order 384  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ]

R37.46 :  Type {12,24}_8  Order 384  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^12 ]

R37.47 :  Type {12,24}_4  Order 384  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12 ]

R37.48 :  Type {20,20}_6  Order 360  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S^-1 * R^5 * S^-1 * R * S^-1 * R ]

R37.49 :  Type {21,42}_4  Order 336  mV = 14  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^2 * R^-1 * S^3 * R^-2 * S * R^-12 ]

R37.50 :  Type {27,54}_6  Order 324  mV = 27  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R * S^-2 * R^4 * S^-1 * R^11 * S^-1 * R^4 * S^-1 * R ]

R37.51 :  Type {40,40}_4  Order 320  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^33 * S^-1 * R * S^-1 * R^4 ]

R37.52 :  Type {40,40}_4  Order 320  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^4 * R^-1 * S * R^-8 * S^2 * R^-2 * S * R^-1 ]

R37.53 :  Type {75,150}_2  Order 300  mV = 150  mF = 75   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^29 * R^-16 * S * R^-28 ]

R37.54 :  Type {76,76}_2  Order 304  mV = 76  mF = 76  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^29 * S^-1 * R^16 * S^-29 * R ]

R37.55 :  Type {148,148}_2  Order 296  mV = 148  mF = 148  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * T * R^14 * T * R^-2 * S ]


R38.1 :  Type {4,78}_156  Order 624  mV = 39  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^78 ]

R38.2 :  Type {4,152}_152  Order 608  mV = 152  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^38 * R^2 * S^38 ]

R38.3 :  Type {6,40}_120  Order 480  mV = 20  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^40 ]

R38.4 :  Type {6,114}_38  Order 456  mV = 114  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^19 * R^2 * S^19 ]

R38.5 :  Type {8,15}_60  Order 480  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-15 ]

R38.6 :  Type {8,52}_104  Order 416  mV = 26  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^13 * R^-3 * S^-3 * T * S * R * T * S^9 ]

R38.7 :  Type {10,95}_38  Order 380  mV = 95  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-10 * R * S^2 * R^-1 * S^-7 ]

R38.8 :  Type {12,32}_96  Order 384  mV = 16  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^8 * R^6 * S * T * S^-3 * T * S^4 ]

R38.9 :  Type {28,42}_12  Order 336  mV = 21  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-6 * S^2 * R^-1 ]

R38.10 :  Type {77,154}_2  Order 308  mV = 154  mF = 77   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^32 * R^-16 * S * R^-26 * S ]

R38.11 :  Type {78,78}_2  Order 312  mV = 78  mF = 78  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^44 * S^-34 ]

R38.12 :  Type {152,152}_2  Order 304  mV = 152  mF = 152  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^29 * S^-1 * R^16 * S^-30 ]


R39.1 :  Type {4,42}_42  Order 672  mV = 14  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^42 ]

R39.2 :  Type {4,80}_80  Order 640  mV = 40  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^80 ]

R39.3 :  Type {4,80}_80  Order 640  mV = 40  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^20 * R * S^-1 * R * S^19 ]

R39.4 :  Type {4,156}_78  Order 624  mV = 156  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^39 * R^2 * S^39 ]

R39.5 :  Type {8,9}_18  Order 576  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-9 ]

R39.6 :  Type {8,28}_56  Order 448  mV = 14  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^28 ]

R39.7 :  Type {8,28}_56  Order 448  mV = 7  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^28 ]

R39.8 :  Type {8,104}_26  Order 416  mV = 104  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^13 * R^2 * S^13 ]

R39.9 :  Type {8,104}_52  Order 416  mV = 104  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^13 * R * S^-2 * R * S^11 ]

R39.10 :  Type {10,12}_20  Order 480  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R^-4 * S^-2 * R * S^-1 ]

R39.11 :  Type {12,48}_16  Order 384  mV = 24  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^8 * R * S^-1 * R * S^7 ]

R39.12 :  Type {12,48}_16  Order 384  mV = 24  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S * R * S^-2 * R^3 * S^5 ]

R39.13 :  Type {14,91}_26  Order 364  mV = 91  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^2 * R * S^-9 * R * S^2 ]

R39.14 :  Type {16,24}_48  Order 384  mV = 12  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^4 * R * S^-2 * R^-1 * S^6 ]

R39.15 :  Type {16,24}_48  Order 384  mV = 12  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * T * S^-3 * T * S * R^-8 * S^6 ]

R39.16 :  Type {28,84}_6  Order 336  mV = 84  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-4 * S * R^-3 * S * R^-19 ]

R39.17 :  Type {42,42}_4  Order 336  mV = 14  mF = 14  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^27 * S^-2 * R^11 ]

R39.18 :  Type {79,158}_2  Order 316  mV = 158  mF = 79   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^46 * S^-32 * R ]

R39.19 :  Type {80,80}_4  Order 320  mV = 80  mF = 80  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^32 * S^-1 * R * S^-1 * R^3 * S^-1 ]

R39.20 :  Type {80,80}_2  Order 320  mV = 80  mF = 80  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * S^-32 * R ]

R39.21 :  Type {156,156}_2  Order 312  mV = 156  mF = 156  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^44 * S^-33 * R ]


R40.1 :  Type {4,30}_20  Order 720  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ]

R40.2 :  Type {4,82}_164  Order 656  mV = 41  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^82 ]

R40.3 :  Type {4,160}_160  Order 640  mV = 160  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^40 * R^2 * S^40 ]

R40.4 :  Type {6,16}_16  Order 576  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 ]

R40.5 :  Type {6,42}_42  Order 504  mV = 21  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^-7 * R * S^4 * R^-1 * S^-3 ]

R40.6 :  Type {6,42}_42  Order 504  mV = 21  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^42 ]

R40.7 :  Type {6,42}_42  Order 504  mV = 14  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^42 ]

R40.8 :  Type {6,120}_40  Order 480  mV = 120  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^20 * R * S^-1 * R * S^19 ]

R40.9 :  Type {7,8}_4  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (S * R^-1 * S)^3 ]

R40.10 :  Type {7,8}_6  Order 672  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R ]

R40.11 :  Type {9,36}_6  Order 432  mV = 9  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ]

R40.12 :  Type {10,22}_110  Order 440  mV = 11  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^22 ]

R40.13 :  Type {12,18}_36  Order 432  mV = 3  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^18 ]

R40.14 :  Type {12,18}_36  Order 432  mV = 9  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^18 ]

R40.15 :  Type {12,96}_32  Order 384  mV = 96  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^8 * R * S^-4 * R * S^4 ]

R40.16 :  Type {18,90}_10  Order 360  mV = 90  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^18 ]

R40.17 :  Type {22,88}_8  Order 352  mV = 88  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-2 * S * R^-17 * S * R^-1 ]

R40.18 :  Type {30,30}_6  Order 360  mV = 15  mF = 15  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S^-1 * R^2 * S^-1 * R^2 * S^-4 ]

R40.19 :  Type {30,30}_6  Order 360  mV = 10  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^20 * S^-1 * R * S^-2 * R * S^-1 * R^4 ]

R40.20 :  Type {34,85}_10  Order 340  mV = 85  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^12 * S^-5 ]

R40.21 :  Type {42,84}_4  Order 336  mV = 84  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^35 * S^-1 * R * S^-1 * R^4 ]

R40.22 :  Type {81,162}_2  Order 324  mV = 162  mF = 81   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^65 * T * R^14 * T * S ]

R40.23 :  Type {82,82}_2  Order 328  mV = 82  mF = 82  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^66 * T * R^14 * T * R^-1 ]

R40.24 :  Type {160,160}_2  Order 320  mV = 160  mF = 160  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * S^-33 ]


R41.1 :  Type {3,16}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^16 ]

R41.2 :  Type {3,16}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, (S * R^-1 * S)^6 ]

R41.3 :  Type {4,6}_40  Order 1920  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ]

R41.4 :  Type {4,12}_10  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R41.5 :  Type {4,12}_20  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-3 * R * S ]

R41.6 :  Type {4,20}_4  Order 800  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R * S^-1 * R * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-1 ]

R41.7 :  Type {4,24}_24  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 ]

R41.8 :  Type {4,24}_24  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ]

R41.9 :  Type {4,24}_12  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ]

R41.10 :  Type {4,24}_12  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ]

R41.11 :  Type {4,24}_24  Order 768  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^24 ]

R41.12 :  Type {4,24}_24  Order 768  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
R^-1 * S * R * S^-5 * R * S^3 * R^-1 * S^-3 ]

R41.13 :  Type {4,24}_12  Order 768  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
S^-1 * R^-1 * S^3 * R * S^-1 * R * S^5 * R^-1 * S^-2 ]

R41.14 :  Type {4,24}_24  Order 768  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ]

R41.15 :  Type {4,44}_44  Order 704  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^44 ]

R41.16 :  Type {4,84}_84  Order 672  mV = 42  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^84 ]

R41.17 :  Type {4,164}_82  Order 656  mV = 164  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^41 * R^2 * S^41 ]

R41.18 :  Type {5,6}_10  Order 1200  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-2 * R * S^-1 * R)^2 ]

R41.19 :  Type {5,6}_20  Order 1200  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-1)^4, R^2 * S^-3 * R * S^-1 * R^-2 * S^3 * R^-1 * S ]

R41.20 :  Type {5,20}_8  Order 640  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2,
(R * S^-3 * R)^2 ]

R41.21 :  Type {5,20}_4  Order 640  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2 ]

R41.22 :  Type {6,6}_12  Order 960  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2 ]

R41.23 :  Type {6,8}_6  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ]

R41.24 :  Type {6,8}_12  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ]

R41.25 :  Type {6,8}_12  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1 * R)^4 ]

R41.26 :  Type {6,8}_12  Order 768  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, 
S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ]

R41.27 :  Type {6,8}_12  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R41.28 :  Type {6,8}_6  Order 768  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S ]

R41.29 :  Type {6,8}_6  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ]

R41.30 :  Type {6,8}_12  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ]

R41.31 :  Type {6,8}_12  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ]

R41.32 :  Type {6,8}_6  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ]

R41.33 :  Type {6,8}_24  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ]

R41.34 :  Type {6,33}_44  Order 528  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^4 * R * S^-1 * R^2 * S^-1 * R * S^5 ]

R41.35 :  Type {6,123}_82  Order 492  mV = 123  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-21 * R * S * R^-1 * S^-19 ]

R41.36 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 ]

R41.37 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 ]

R41.38 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ]

R41.39 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ]

R41.40 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-3 * R^4 * S^-5 ]

R41.41 :  Type {8,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R41.42 :  Type {8,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^-1 * R^2 * S^-2 * R^2 * S^-5 ]

R41.43 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-3 * R^4 * S^-5 ]

R41.44 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4 ]

R41.45 :  Type {8,16}_16  Order 512  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4 ]

R41.46 :  Type {8,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-3 * R * S^4 ]

R41.47 :  Type {8,16}_16  Order 512  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4 ]

R41.48 :  Type {8,16}_4  Order 512  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^-3 * R^4 * S^-5 ]

R41.49 :  Type {8,16}_8  Order 512  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-3 * R^4 * S^-5 ]

R41.50 :  Type {8,56}_28  Order 448  mV = 28  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^14 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^10 ]

R41.51 :  Type {8,56}_28  Order 448  mV = 28  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^14 * R * S^-1 * R * S^13 ]

R41.52 :  Type {12,12}_6  Order 480  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ]

R41.53 :  Type {12,12}_6  Order 480  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^3 * S^-1 * R * S^2, S * R^-1 * S * R^3 * S * R^-1 * S^2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ]

R41.54 :  Type {16,48}_12  Order 384  mV = 24  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S * R * S^-9 * R * S^2 ]

R41.55 :  Type {16,48}_24  Order 384  mV = 24  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-9 * R * S^2 ]

R41.56 :  Type {16,48}_24  Order 384  mV = 24  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^5 * R * S^-5 * R * S^2 ]

R41.57 :  Type {16,48}_12  Order 384  mV = 24  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^2 * S^-3 * R^7 * S^-3 * R ]

R41.58 :  Type {20,20}_10  Order 400  mV = 10  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, S^2 * R^-2 * S * R^-8 * S * R^-6 ]

R41.59 :  Type {20,20}_10  Order 400  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * T * S^-1 * R^-8 * S^-3 * T * S * R^2 * S ]

R41.60 :  Type {24,24}_4  Order 384  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^7 * R^-11 * S * R^-2 ]

R41.61 :  Type {24,24}_4  Order 384  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^8 * S^-1 * R^2 * S^-1 ]

R41.62 :  Type {24,24}_8  Order 384  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^7 * S^-2 * R * S^-2 ]

R41.63 :  Type {24,24}_8  Order 384  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^8 * S^-1 * R^2 * S^-1 ]

R41.64 :  Type {24,24}_8  Order 384  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^9 * S^-1 * R * S^-1 ]

R41.65 :  Type {24,24}_8  Order 384  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R * S^-2 * R^4 * S^-1 * R^8 * S^-3 * R^3 * S^-2 ]

R41.66 :  Type {24,24}_4  Order 384  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-2 * S * R^-5 * S * R^-1 * S * R^-9 * S * R^-3 ]

R41.67 :  Type {24,24}_8  Order 384  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^-1 * R * S^-2 * R ]

R41.68 :  Type {24,24}_8  Order 384  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-1 * R^6 * S^-1 * R^2 * S^-2 ]

R41.69 :  Type {44,44}_4  Order 352  mV = 22  mF = 22  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^15 * R^-4 * S * R^-1 * S * R^-21 * S ]

R41.70 :  Type {83,166}_2  Order 332  mV = 166  mF = 83   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^67 * T * R^14 * T * S ]

R41.71 :  Type {84,84}_2  Order 336  mV = 84  mF = 84  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^69 * R^-2 * T * R^10 * T * S * R^-1 ]

R41.72 :  Type {164,164}_2  Order 328  mV = 164  mF = 164  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^66 * T * R^14 * T * S ]


R42.1 :  Type {4,45}_90  Order 720  mV = 15  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-45 ]

R42.2 :  Type {4,86}_172  Order 688  mV = 43  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^86 ]

R42.3 :  Type {4,168}_168  Order 672  mV = 168  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^42 * R^2 * S^42 ]

R42.4 :  Type {6,44}_132  Order 528  mV = 22  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^44 ]

R42.5 :  Type {8,30}_60  Order 480  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-8 * R^3 * S^6 * R * S^-1 ]

R42.6 :  Type {8,30}_120  Order 480  mV = 15  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^30 ]

R42.7 :  Type {10,105}_42  Order 420  mV = 105  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-11 * R * S^3 * R^-1 * S^-7 ]

R42.8 :  Type {14,16}_112  Order 448  mV = 8  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^16 ]

R42.9 :  Type {26,91}_14  Order 364  mV = 91  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R^-6 * S^6 ]

R42.10 :  Type {44,88}_8  Order 352  mV = 88  mF = 22   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^3 * R^-18 * S ]

R42.11 :  Type {45,45}_4  Order 360  mV = 15  mF = 15  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^29 * S^-2 * R^11 * S^-1 ]

R42.12 :  Type {58,87}_6  Order 348  mV = 87  mF = 29   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-3 * S * R^-3 * S * R^-18 * S ]

R42.13 :  Type {85,170}_2  Order 340  mV = 170  mF = 85   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^36 * R^-11 * S^3 * R^-33 * S ]

R42.14 :  Type {86,86}_2  Order 344  mV = 86  mF = 86  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-3 * R^11 * S^-37 ]

R42.15 :  Type {168,168}_2  Order 336  mV = 168  mF = 168  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^69 * R^-2 * T * R^10 * T * S^2 ]


R43.1 :  Type {3,9}_14  Order 3024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 ]

R43.2 :  Type {3,20}_60  Order 1440  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-2)^2 ]

R43.3 :  Type {4,8}_14  Order 1344  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ]

R43.4 :  Type {4,8}_6  Order 1344  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^2 * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^2 ]

R43.5 :  Type {4,88}_88  Order 704  mV = 44  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^88 ]

R43.6 :  Type {4,88}_88  Order 704  mV = 44  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^22 * R * S^-1 * R * S^21 ]

R43.7 :  Type {4,172}_86  Order 688  mV = 172  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^43 * R^2 * S^43 ]

R43.8 :  Type {6,24}_12  Order 576  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-3 * R * S^4 ]

R43.9 :  Type {6,24}_6  Order 576  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ]

R43.10 :  Type {6,24}_12  Order 576  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ]

R43.11 :  Type {6,24}_6  Order 576  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^2 * S^-4 ]

R43.12 :  Type {6,45}_90  Order 540  mV = 15  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-45 ]

R43.13 :  Type {6,129}_86  Order 516  mV = 129  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-22 * R^2 * S^-21 ]

R43.14 :  Type {8,8}_6  Order 672  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ]

R43.15 :  Type {8,8}_8  Order 672  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, (R * S^-2 * R^2)^2 ]

R43.16 :  Type {8,12}_8  Order 576  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^6 ]

R43.17 :  Type {8,12}_8  Order 576  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^12, S^-3 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-2 ]

R43.18 :  Type {10,20}_12  Order 480  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-3 * S^-2 * R^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 ]

R43.19 :  Type {12,15}_40  Order 480  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-4 * S^-1 * R * S^3 ]

R43.20 :  Type {12,36}_18  Order 432  mV = 18  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^9 * R^6 * S * T * S^-3 * T * S^5 ]

R43.21 :  Type {12,36}_18  Order 432  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^9 * R * S^-2 * R * S^7 ]

R43.22 :  Type {24,48}_16  Order 384  mV = 24  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-3 * R^4 * S^-5 ]

R43.23 :  Type {24,48}_16  Order 384  mV = 24  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^4 * S^-5 ]

R43.24 :  Type {87,174}_2  Order 348  mV = 174  mF = 87   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^73 * S^-1 * T * R^-9 * S * T * S^-1 * R * S^-1 ]

R43.25 :  Type {88,88}_4  Order 352  mV = 88  mF = 88  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^14 * R^-4 * S * R^-1 * S * R^-22 ]

R43.26 :  Type {88,88}_2  Order 352  mV = 88  mF = 88  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-1 * R^12 * S^-39 * R ]

R43.27 :  Type {172,172}_2  Order 344  mV = 172  mF = 172  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-3 * R^11 * S^-36 * R ]


R44.1 :  Type {4,90}_180  Order 720  mV = 45  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^90 ]

R44.2 :  Type {4,176}_176  Order 704  mV = 176  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^44 * R^2 * S^44 ]

R44.3 :  Type {6,46}_138  Order 552  mV = 23  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^46 ]

R44.4 :  Type {6,132}_44  Order 528  mV = 132  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^22 * R^2 * S^22 ]

R44.5 :  Type {8,60}_120  Order 480  mV = 30  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^15 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^11 ]

R44.6 :  Type {10,24}_120  Order 480  mV = 12  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^24 ]

R44.7 :  Type {10,110}_22  Order 440  mV = 110  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^11 * R^2 * S^11 ]

R44.8 :  Type {18,99}_22  Order 396  mV = 99  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^4 * R * S^-1 * R^-1 * S^6 ]

R44.9 :  Type {46,92}_4  Order 368  mV = 92  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^16 * R^-3 * S * R^-1 * S * R^-13 * S^2 * R^-1 * S^2 * R^-5 ]

R44.10 :  Type {89,178}_2  Order 356  mV = 178  mF = 89   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^39 * R^-48 * S ]

R44.11 :  Type {90,90}_2  Order 360  mV = 90  mF = 90  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^50 * S^-40 ]

R44.12 :  Type {176,176}_2  Order 352  mV = 176  mF = 176  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-1 * R^12 * S^-40 ]


R45.1 :  Type {3,10}_22  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-1, 
S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 ]

R45.2 :  Type {3,10}_12  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 ]

R45.3 :  Type {3,22}_6  Order 1452  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^22 ]

R45.4 :  Type {3,28}_16  Order 1344  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-1 ]

R45.5 :  Type {4,15}_30  Order 960  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-15 ]

R45.6 :  Type {4,48}_48  Order 768  mV = 16  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-2 * R * S^10 ]

R45.7 :  Type {4,48}_48  Order 768  mV = 16  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^48 ]

R45.8 :  Type {4,48}_48  Order 768  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^48 ]

R45.9 :  Type {4,48}_48  Order 768  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^12 * R^2 * S^5 * R^-1 * S^-1 * R * S^6 ]

R45.10 :  Type {4,92}_92  Order 736  mV = 46  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^92 ]

R45.11 :  Type {4,180}_90  Order 720  mV = 180  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^45 * R^2 * S^45 ]

R45.12 :  Type {5,6}_12  Order 1320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S^-1 ]

R45.13 :  Type {5,6}_6  Order 1320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (S^-1 * R)^5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R45.14 :  Type {6,14}_8  Order 672  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, (R * S^-2)^4 ]

R45.15 :  Type {8,10}_10  Order 640  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ]

R45.16 :  Type {8,10}_20  Order 640  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^-4 * S^-4 ]

R45.17 :  Type {8,32}_32  Order 512  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^32 ]

R45.18 :  Type {8,32}_32  Order 512  mV = 8  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^32 ]

R45.19 :  Type {8,32}_32  Order 512  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 * R^3 * S^-4 * R * S^4 ]

R45.20 :  Type {8,32}_32  Order 512  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R^-2 * S^2 * R^-1 * S^-3 * R * S^3 ]

R45.21 :  Type {8,32}_32  Order 512  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R^-2 * S^2 * R^-1 * S^-1 * R * S^5 ]

R45.22 :  Type {8,32}_32  Order 512  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R * S^-1 * R * S^7 ]

R45.23 :  Type {8,120}_60  Order 480  mV = 120  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^15 * R^2 * S^15 ]

R45.24 :  Type {8,120}_30  Order 480  mV = 120  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^15 * R * S^-2 * R * S^13 ]

R45.25 :  Type {11,22}_22  Order 484  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-11 ]

R45.26 :  Type {12,20}_10  Order 480  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-2 * R^3 * S^-3, R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 ]

R45.27 :  Type {12,20}_10  Order 480  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^3 * S^3, (S^-1 * R)^5 ]

R45.28 :  Type {12,20}_60  Order 480  mV = 10  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^20 ]

R45.29 :  Type {14,105}_30  Order 420  mV = 105  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-8 * R * S^4 * R^-1 * S^-3 ]

R45.30 :  Type {15,15}_4  Order 480  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^4, R^-1 * S^4 * R^-6 * S^4 ]

R45.31 :  Type {22,99}_18  Order 396  mV = 99  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^4 * R^-2 * S^5 ]

R45.32 :  Type {32,96}_12  Order 384  mV = 96  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^2 * S^-3 * R^8 * S^-3 ]

R45.33 :  Type {32,96}_6  Order 384  mV = 96  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S * R^-4 * S * R^-1 * S^2 * R^-1 * S * R^-9 * S^3 * R^-1 * S^3 * R^-3 * S ]

R45.34 :  Type {38,95}_10  Order 380  mV = 95  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^-1 * S * R^-12 * S^4 * R^-1 ]

R45.35 :  Type {48,48}_8  Order 384  mV = 16  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^7 * S^-1 * R * S^-1 * R * S^-1 ]

R45.36 :  Type {48,48}_4  Order 384  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^7 * R^-12 * S^2 ]

R45.37 :  Type {48,48}_4  Order 384  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, S * R^-1 * S^31 * R^-1 * S * R^-13 ]

R45.38 :  Type {48,48}_4  Order 384  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^17 * R^-4 * S * R^-1 * S * R^-13 * S * R^-2 * S^3 * R^-3 * S ]

R45.39 :  Type {48,48}_8  Order 384  mV = 24  mF = 24   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R * S^-3 * R^12 * S^-1 * R * S^-1 * R * S^-1 ]

R45.40 :  Type {48,48}_4  Order 384  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-5 * S * R^-1 * S * R^-9 * S * R^-1 * S * R^-1 ]

R45.41 :  Type {62,93}_6  Order 372  mV = 93  mF = 31   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-3 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S^2 * R^-1 * S^2 * R^-4 * S ]

R45.42 :  Type {91,182}_2  Order 364  mV = 182  mF = 91   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^38 * R^-52 ]

R45.43 :  Type {92,92}_2  Order 368  mV = 92  mF = 92  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^75 * R^-1 * S * R^-1 * T * S^-1 * R^9 * T * S * R^-2 ]

R45.44 :  Type {180,180}_2  Order 360  mV = 180  mF = 180  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^50 * S^-39 * R ]


R46.1 :  Type {3,8}_30  Order 4320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 * R^-1 * S^3 * R^-1 * S^2 ]

R46.2 :  Type {3,8}_10  Order 4320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^5 ]

R46.3 :  Type {3,36}_6  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-9 * R^-1 * S^11 * R^-1 * S^-4 ]

R46.4 :  Type {4,8}_10  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, 
(S^-2 * R * S^-1)^3, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 ]

R46.5 :  Type {4,8}_6  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S^-1 * R)^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R ]

R46.6 :  Type {4,8}_10  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R ]

R46.7 :  Type {4,9}_6  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-9, 
S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R46.8 :  Type {4,9}_18  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^2, 
S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 ]

R46.9 :  Type {4,94}_188  Order 752  mV = 47  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^94 ]

R46.10 :  Type {4,184}_184  Order 736  mV = 184  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^46 * R^2 * S^46 ]

R46.11 :  Type {6,8}_24  Order 864  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R * S^-1 * R)^2 ]

R46.12 :  Type {6,8}_24  Order 864  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R46.13 :  Type {6,12}_10  Order 720  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S * R * S^-3 * R * S^4 ]

R46.14 :  Type {6,18}_18  Order 648  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^18 ]

R46.15 :  Type {6,18}_18  Order 648  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^18 ]

R46.16 :  Type {6,18}_18  Order 648  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-3 * R)^2 ]

R46.17 :  Type {6,18}_6  Order 648  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, 
(R * S^-1)^6 ]

R46.18 :  Type {6,18}_6  Order 648  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^5 * R * S^-5 * R * S^2 ]

R46.19 :  Type {6,18}_18  Order 648  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ]

R46.20 :  Type {6,18}_6  Order 648  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R46.21 :  Type {6,18}_18  Order 648  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ]

R46.22 :  Type {6,18}_6  Order 648  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R46.23 :  Type {6,48}_48  Order 576  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^8 * R * S^-1 * R * S^7 ]

R46.24 :  Type {6,48}_48  Order 576  mV = 16  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^48 ]

R46.25 :  Type {6,48}_48  Order 576  mV = 24  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^48 ]

R46.26 :  Type {6,138}_46  Order 552  mV = 138  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^23 * R * S^-1 * R * S^22 ]

R46.27 :  Type {9,9}_4  Order 648  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-9 ]

R46.28 :  Type {9,9}_12  Order 648  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S * R^-1 * S^2, S^-2 * R^-4 * S^-2 * R * S^-1 * R ]

R46.29 :  Type {10,25}_50  Order 500  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-25 ]

R46.30 :  Type {10,115}_46  Order 460  mV = 115  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-12 * R^2 * S^-11 ]

R46.31 :  Type {16,28}_112  Order 448  mV = 14  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S^-5 * R^7 * S^7 ]

R46.32 :  Type {18,36}_12  Order 432  mV = 12  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^2 * R^-11 * S^3 * R^-1 * S ]

R46.33 :  Type {18,36}_12  Order 432  mV = 18  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, R^-1 * S * R^-2 * S * R^-9 * S * R^-2 * S ]

R46.34 :  Type {33,66}_6  Order 396  mV = 33  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-2 * S * R^-1 * S^2 * R^-5 * S * R^-11 * S * R^-1 * S * R^-3 * S^4 ]

R46.35 :  Type {93,186}_2  Order 372  mV = 186  mF = 93   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^37 * R^-54 * S ]

R46.36 :  Type {94,94}_2  Order 376  mV = 94  mF = 94  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^79 * R^-13 * S ]

R46.37 :  Type {184,184}_2  Order 368  mV = 184  mF = 184  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^75 * R^-1 * S * R^-1 * T * S^-1 * R^9 * T * S * R^-1 * S ]


R47.1 :  Type {4,96}_96  Order 768  mV = 48  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^96 ]

R47.2 :  Type {4,96}_96  Order 768  mV = 48  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 * R * S^-1 * R * S^23 ]

R47.3 :  Type {4,188}_94  Order 752  mV = 188  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^47 * R^2 * S^47 ]

R47.4 :  Type {6,141}_94  Order 564  mV = 141  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-24 * R * S * R^-1 * S^-22 ]

R47.5 :  Type {8,18}_18  Order 576  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^18 ]

R47.6 :  Type {8,18}_36  Order 576  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^18 ]

R47.7 :  Type {8,64}_64  Order 512  mV = 32  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^16 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^12 ]

R47.8 :  Type {8,64}_64  Order 512  mV = 32  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^16 * R * S^-1 * R * S^15 ]

R47.9 :  Type {12,30}_40  Order 480  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-2 * S * R^-2 * S^4 ]

R47.10 :  Type {95,190}_2  Order 380  mV = 190  mF = 95   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^41 * R^-12 * S * R^-40 ]

R47.11 :  Type {96,96}_4  Order 384  mV = 96  mF = 96  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^18 * R^-4 * S * R^-1 * S * R^-13 * S * R^-2 * S^3 * R^-4 ]

R47.12 :  Type {96,96}_2  Order 384  mV = 96  mF = 96  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^82 * R^-10 * S * T * R * S^-1 * T ]

R47.13 :  Type {188,188}_2  Order 376  mV = 188  mF = 188  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^79 * R^-14 ]


R48.1 :  Type {4,51}_102  Order 816  mV = 17  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-51 ]

R48.2 :  Type {4,98}_196  Order 784  mV = 49  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^98 ]

R48.3 :  Type {4,192}_192  Order 768  mV = 192  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^48 * R^2 * S^48 ]

R48.4 :  Type {6,50}_150  Order 600  mV = 25  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^50 ]

R48.5 :  Type {8,34}_136  Order 544  mV = 17  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^34 ]

R48.6 :  Type {10,26}_130  Order 520  mV = 13  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^26 ]

R48.7 :  Type {10,120}_24  Order 480  mV = 120  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^12 * R * S^-1 * R * S^11 ]

R48.8 :  Type {12,40}_120  Order 480  mV = 20  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^10 * R^6 * S^10 ]

R48.9 :  Type {14,18}_126  Order 504  mV = 9  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^18 ]

R48.10 :  Type {14,112}_16  Order 448  mV = 112  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^8 * R^2 * S^8 ]

R48.11 :  Type {26,104}_8  Order 416  mV = 104  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^3 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^2 ]

R48.12 :  Type {34,102}_6  Order 408  mV = 102  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^2 * R^-4 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-3 * S * R^-4 * S ]

R48.13 :  Type {50,100}_4  Order 400  mV = 100  mF = 25   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^20 * R^-4 * S * R^-1 * S * R^-13 * S * R^-2 * S^3 * R^-4 ]

R48.14 :  Type {51,51}_4  Order 408  mV = 17  mF = 17  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^34 * R^-1 * S * R^-11 * S^2 ]

R48.15 :  Type {97,194}_2  Order 388  mV = 194  mF = 97   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^40 * R^-12 * S * R^-42 * S ]

R48.16 :  Type {98,98}_2  Order 392  mV = 98  mF = 98  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^43 * S^-1 * R^13 * S^-41 ]

R48.17 :  Type {192,192}_2  Order 384  mV = 192  mF = 192  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^82 * R^-12 * S ]


R49.1 :  Type {3,10}_16  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R^-1 * S^2 * R * S^-3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S, 
S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1 ]

R49.2 :  Type {3,12}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S^3)^3, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ]

R49.3 :  Type {3,14}_24  Order 2016  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-2 * R * S, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ]

R49.4 :  Type {3,14}_18  Order 2016  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-6)^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-3 * R * S^-2 ]

R49.5 :  Type {4,5}_12  Order 3840  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^6, 
R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ]

R49.6 :  Type {4,6}_8  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R49.7 :  Type {4,7}_14  Order 1792  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-7, (R * S^-2)^4 ]

R49.8 :  Type {4,10}_20  Order 1280  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, 
S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ]

R49.9 :  Type {4,10}_10  Order 1280  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S ]

R49.10 :  Type {4,10}_20  Order 1280  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^10, (R * S^-2)^4, S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-4 ]

R49.11 :  Type {4,12}_8  Order 1152  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
S^12 ]

R49.12 :  Type {4,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^16 ]

R49.13 :  Type {4,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
S^16 ]

R49.14 :  Type {4,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^16 ]

R49.15 :  Type {4,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ]

R49.16 :  Type {4,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 ]

R49.17 :  Type {4,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^-3 * R * S ]

R49.18 :  Type {4,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R49.19 :  Type {4,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R49.20 :  Type {4,16}_8  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
(R * S^-1)^8 ]

R49.21 :  Type {4,16}_8  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S * R^-1 * S ]

R49.22 :  Type {4,16}_8  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ]

R49.23 :  Type {4,16}_8  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S ]

R49.24 :  Type {4,16}_4  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^16 ]

R49.25 :  Type {4,16}_8  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^3 ]

R49.26 :  Type {4,20}_12  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-2 ]

R49.27 :  Type {4,20}_6  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ]

R49.28 :  Type {4,28}_56  Order 896  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^28 ]

R49.29 :  Type {4,52}_52  Order 832  mV = 13  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^52 ]

R49.30 :  Type {4,100}_100  Order 800  mV = 50  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^100 ]

R49.31 :  Type {4,196}_98  Order 784  mV = 196  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^49 * R^2 * S^49 ]

R49.32 :  Type {5,5}_6  Order 1920  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6 ]

R49.33 :  Type {5,6}_6  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R49.34 :  Type {6,6}_6  Order 1152  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R49.35 :  Type {6,6}_24  Order 1152  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^6, 
S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ]

R49.36 :  Type {6,6}_24  Order 1152  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R49.37 :  Type {6,6}_12  Order 1152  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R49.38 :  Type {6,6}_6  Order 1152  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R49.39 :  Type {6,12}_4  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-1 * R)^4 ]

R49.40 :  Type {6,12}_8  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-4 * R^2 * S * R^-1 * S^-1 * R, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2 ]

R49.41 :  Type {6,12}_4  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ]

R49.42 :  Type {6,12}_8  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-4 * R^2 * S * R^-1 * S^-1 * R, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ]

R49.43 :  Type {6,12}_8  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S * R * S^-2 * R^3 * S^3 * R^-2 ]

R49.44 :  Type {6,12}_8  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^4, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, 
R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ]

R49.45 :  Type {6,12}_8  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-2)^4, (R * S^-5)^2 ]

R49.46 :  Type {6,12}_8  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, (R * S^-2)^4 ]

R49.47 :  Type {6,12}_8  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, (R * S^-1 * R)^4 ]

R49.48 :  Type {6,12}_8  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, 
S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-1 * R)^4 ]

R49.49 :  Type {6,15}_30  Order 720  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-3 * R^-2 * S * R^-2 * S^-1 ]

R49.50 :  Type {6,15}_10  Order 720  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-4 * R * S^5, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2 ]

R49.51 :  Type {6,15}_60  Order 720  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-15 ]

R49.52 :  Type {6,15}_12  Order 720  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R^-2 * S)^3 ]

R49.53 :  Type {6,15}_4  Order 720  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R^-2 * S)^3 ]

R49.54 :  Type {6,39}_52  Order 624  mV = 13  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S * R * S^-4 * R^-1 * S * R * S^-7 ]

R49.55 :  Type {6,51}_102  Order 612  mV = 17  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-51 ]

R49.56 :  Type {6,147}_98  Order 588  mV = 147  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-25 * R^2 * S^-24 ]

R49.57 :  Type {7,7}_4  Order 896  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-7, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ]

R49.58 :  Type {7,14}_6  Order 672  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-1)^4, (S * R^-1 * S)^3 ]

R49.59 :  Type {8,24}_4  Order 576  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^6 ]

R49.60 :  Type {8,24}_4  Order 576  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^-3 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-2 ]

R49.61 :  Type {9,18}_8  Order 576  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 ]

R49.62 :  Type {10,10}_8  Order 640  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^5 * S^-4, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ]

R49.63 :  Type {10,10}_8  Order 640  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ]

R49.64 :  Type {10,10}_4  Order 640  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^10, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2 ]

R49.65 :  Type {10,10}_8  Order 640  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, R^10, (R * S^-4)^2 ]

R49.66 :  Type {12,12}_6  Order 576  mV = 3  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ]

R49.67 :  Type {12,12}_12  Order 576  mV = 3  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ]

R49.68 :  Type {12,12}_24  Order 576  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^-1 * R^6 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R49.69 :  Type {12,12}_12  Order 576  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R49.70 :  Type {12,12}_12  Order 576  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2 ]

R49.71 :  Type {12,12}_6  Order 576  mV = 2  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^-2 * R^5 * S^3 * R^-1 * S^-1 ]

R49.72 :  Type {12,12}_12  Order 576  mV = 2  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
S^-1 * R^5 * S^-2 * R * S^-1, S^12 ]

R49.73 :  Type {12,12}_12  Order 576  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^12 ]

R49.74 :  Type {12,60}_20  Order 480  mV = 30  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^10 * R * S^-3 * R * S^7 ]

R49.75 :  Type {16,16}_16  Order 512  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^16 ]

R49.76 :  Type {16,16}_16  Order 512  mV = 4  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, 
S^16 ]

R49.77 :  Type {16,16}_16  Order 512  mV = 2  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^16 ]

R49.78 :  Type {16,16}_16  Order 512  mV = 2  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^16 ]

R49.79 :  Type {16,16}_16  Order 512  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-4 * R^3 * S * R^-1 * S^-3 ]

R49.80 :  Type {16,16}_16  Order 512  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, S^4 * R^-7 * S^4 * R^-1 ]

R49.81 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
(R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ]

R49.82 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^2 * R^8 * S^6 ]

R49.83 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R^5 * S * R^-3, S * R * S^-3 * R * S^4 ]

R49.84 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^-1 * S^3 * R^-5 * S * R^-2 * S^2 * R^-2 ]

R49.85 :  Type {16,16}_16  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R^7 * S^-5 ]

R49.86 :  Type {16,16}_8  Order 512  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, (R * S^-3)^2 ]

R49.87 :  Type {16,16}_4  Order 512  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
(R * S^-1)^4, (R * S^-3)^2 ]

R49.88 :  Type {16,16}_4  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ]

R49.89 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-3)^2 ]

R49.90 :  Type {16,16}_4  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-2 * S * R^-1 * S * R^-7 * S * R^-1 * S * R^-1 ]

R49.91 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R49.92 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R49.93 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, (R * S^-1)^4 ]

R49.94 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, (R * S^-1)^4 ]

R49.95 :  Type {16,16}_8  Order 512  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-2 * T * R^-2 * S * R^-6 * S^2 * T * R * S^-1 * R ]

R49.96 :  Type {16,112}_14  Order 448  mV = 112  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^-2 * R^-1 * S^6 * R^-1 * S^-6 ]

R49.97 :  Type {16,112}_28  Order 448  mV = 112  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^7 * R * S^-2 * R * S^5 ]

R49.98 :  Type {20,20}_6  Order 480  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-2 * R)^2 ]

R49.99 :  Type {20,20}_6  Order 480  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^5 * S^4, 
R^2 * S^-1 * R^3 * S * R^-2 * S^-1 ]

R49.100 :  Type {27,54}_4  Order 432  mV = 18  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^10 * R^-12 * S^2 ]

R49.101 :  Type {28,28}_4  Order 448  mV = 7  mF = 7  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^9 * S^-1 * R^9 * S^-5 * R ]

R49.102 :  Type {30,105}_14  Order 420  mV = 105  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^2 * S^-3 * R^6 * S^-4 ]

R49.103 :  Type {36,36}_6  Order 432  mV = 18  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R * S^-1 * R^4 * S^-3 * R^2 * S^-1 * R * S^-1 * R^12 * S^-1 * R^5 * S^-3 * R ]

R49.104 :  Type {52,52}_4  Order 416  mV = 26  mF = 26  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^27 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^4 ]

R49.105 :  Type {99,198}_2  Order 396  mV = 198  mF = 99   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^85 * T * S * R^-1 * T * S^-1 * R^11 ]

R49.106 :  Type {100,100}_2  Order 400  mV = 100  mF = 100  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * S^-1 * R * S^-1 * T * R^-10 * T * R^3 ]

R49.107 :  Type {196,196}_2  Order 392  mV = 196  mF = 196  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^43 * S^-1 * R^13 * S^-40 * R ]


R50.1 :  Type {3,13}_14  Order 2184  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-13, S * R * S^-3 * R * S^-2 * R * S^-3 * R * S^2 * R^-1 * S, S^-2 * R * S^-5 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-3 ]

R50.2 :  Type {4,102}_204  Order 816  mV = 51  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^102 ]

R50.3 :  Type {4,200}_200  Order 800  mV = 200  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^50 * R^2 * S^50 ]

R50.4 :  Type {6,6}_14  Order 1176  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^6, 
S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ]

R50.5 :  Type {6,52}_156  Order 624  mV = 26  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^52 ]

R50.6 :  Type {6,150}_50  Order 600  mV = 150  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^25 * R^2 * S^25 ]

R50.7 :  Type {8,8}_14  Order 784  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S * R^-1 * S * R^3 * S * R^-1 * S^2 ]

R50.8 :  Type {8,68}_136  Order 544  mV = 34  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^17 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^13 ]

R50.9 :  Type {12,22}_132  Order 528  mV = 11  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^22 ]

R50.10 :  Type {12,120}_40  Order 480  mV = 120  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^10 * R^2 * S^10 ]

R50.11 :  Type {15,40}_12  Order 480  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-3 * R^-2 * S^-3 * R ]

R50.12 :  Type {20,24}_120  Order 480  mV = 12  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-1 * T * S^3 * R * T * S^2 * R^-5 * S^-3 * T * S * R^4 * T * S^-2 ]

R50.13 :  Type {22,110}_10  Order 440  mV = 110  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^17 * S^-1 * R * S^-1 * R^2 ]

R50.14 :  Type {42,105}_10  Order 420  mV = 105  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S^2 * R^-1 * S * R^-11 * S^4 * R^-1 ]

R50.15 :  Type {52,104}_8  Order 416  mV = 104  mF = 26   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-3 ]

R50.16 :  Type {101,202}_2  Order 404  mV = 202  mF = 101   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^45 * R^-12 * T * R^2 * T * R^-40 * S ]

R50.17 :  Type {102,102}_2  Order 408  mV = 102  mF = 102  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^42 * S^-1 * R^12 * S^-47 ]

R50.18 :  Type {200,200}_2  Order 400  mV = 200  mF = 200  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * S^-1 * R * S^-1 * T * R^-10 * T * R^2 * S^-1 ]


R51.1 :  Type {3,12}_40  Order 2400  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2 * R * S^-1 ]

R51.2 :  Type {3,30}_10  Order 1500  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, 
S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1 ]

R51.3 :  Type {4,8}_40  Order 1600  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^10 ]

R51.4 :  Type {4,8}_40  Order 1600  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 ]

R51.5 :  Type {4,12}_30  Order 1200  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ]

R51.6 :  Type {4,20}_10  Order 1000  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-3 * R * S^4 ]

R51.7 :  Type {4,24}_20  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^-1 * S^4 * R^2 * S^-4 * R * S^2 ]

R51.8 :  Type {4,24}_20  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^4 * R * S^-1 * R * S^4 * R^-1 ]

R51.9 :  Type {4,54}_54  Order 864  mV = 18  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^54 ]

R51.10 :  Type {4,104}_104  Order 832  mV = 52  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^104 ]

R51.11 :  Type {4,104}_104  Order 832  mV = 52  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^26 * R * S^-1 * R * S^25 ]

R51.12 :  Type {4,204}_102  Order 816  mV = 204  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^51 * R^2 * S^51 ]

R51.13 :  Type {6,8}_20  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R51.14 :  Type {6,8}_10  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R51.15 :  Type {6,28}_42  Order 672  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-5 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 ]

R51.16 :  Type {8,8}_20  Order 800  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 ]

R51.17 :  Type {8,8}_10  Order 800  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ]

R51.18 :  Type {8,36}_18  Order 576  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^9 * R * S^-1 * R * S^4 * R^-1 * S^-2 * R * S^2 ]

R51.19 :  Type {8,36}_36  Order 576  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^9 * R * S^-2 * R * S^7 ]

R51.20 :  Type {8,36}_72  Order 576  mV = 18  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^36 ]

R51.21 :  Type {8,36}_72  Order 576  mV = 9  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^36 ]

R51.22 :  Type {8,136}_34  Order 544  mV = 136  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^17 * R^2 * S^17 ]

R51.23 :  Type {8,136}_68  Order 544  mV = 136  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^17 * R * S^-2 * R * S^15 ]

R51.24 :  Type {12,12}_10  Order 600  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S ]

R51.25 :  Type {14,119}_34  Order 476  mV = 119  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-9 * R * S^5 * R^-1 * S^-3 ]

R51.26 :  Type {15,60}_8  Order 480  mV = 20  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^-8 * S^2 * R^-2 ]

R51.27 :  Type {20,30}_6  Order 480  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R^5 * S^-2 * R * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R51.28 :  Type {28,56}_8  Order 448  mV = 28  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-3 * S ]

R51.29 :  Type {28,56}_8  Order 448  mV = 28  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-1 * S * R^-4 * S^3 * R^-10 * S^2 * R^-4 * S^2 * R^-1 ]

R51.30 :  Type {54,54}_4  Order 432  mV = 18  mF = 18  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^37 * R^-1 * S * R^-11 * S^2 ]

R51.31 :  Type {70,105}_6  Order 420  mV = 105  mF = 35   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^7 * S^-1 * R^3 * S^-1 * R^10 * S^-1 * R * S^-2 * R * S^-1 * R^4 * S^-1 ]

R51.32 :  Type {103,206}_2  Order 412  mV = 206  mF = 103   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * R^-12 * S * R^-42 ]

R51.33 :  Type {104,104}_4  Order 416  mV = 104  mF = 104  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^27 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^2 * S^-2 ]

R51.34 :  Type {104,104}_2  Order 416  mV = 104  mF = 104  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^90 * R^-11 * T * R^2 * T ]

R51.35 :  Type {204,204}_2  Order 408  mV = 204  mF = 204  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^42 * S^-1 * R^12 * S^-46 * R ]


R52.1 :  Type {3,8}_16  Order 4896  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-3 ]

R52.2 :  Type {3,8}_18  Order 4896  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^2 ]

R52.3 :  Type {4,106}_212  Order 848  mV = 53  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^106 ]

R52.4 :  Type {4,208}_208  Order 832  mV = 208  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^52 * R^2 * S^52 ]

R52.5 :  Type {6,20}_20  Order 720  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 ]

R52.6 :  Type {6,54}_54  Order 648  mV = 27  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^54 ]

R52.7 :  Type {6,54}_54  Order 648  mV = 18  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^54 ]

R52.8 :  Type {6,156}_52  Order 624  mV = 156  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^26 * R * S^-1 * R * S^25 ]

R52.9 :  Type {10,28}_140  Order 560  mV = 14  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^28 ]

R52.10 :  Type {10,130}_26  Order 520  mV = 130  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^13 * R * S^-2 * R * S^11 ]

R52.11 :  Type {12,16}_16  Order 576  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-5 * R ]

R52.12 :  Type {18,117}_26  Order 468  mV = 117  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S * R^-1 * S^-6 ]

R52.13 :  Type {24,30}_40  Order 480  mV = 15  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^4 * R * S^-1 * R * S^5 ]

R52.14 :  Type {28,112}_16  Order 448  mV = 112  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^6 * S^-6 ]

R52.15 :  Type {54,108}_4  Order 432  mV = 108  mF = 27   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^28 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^5 ]

R52.16 :  Type {105,210}_2  Order 420  mV = 210  mF = 105   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^91 * T * R^-2 * T * R^12 ]

R52.17 :  Type {106,106}_2  Order 424  mV = 106  mF = 106  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^45 * T * R^-2 * T * R^11 * S^-48 ]

R52.18 :  Type {208,208}_2  Order 416  mV = 208  mF = 208  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^90 * R^-12 * S ]


R53.1 :  Type {4,30}_60  Order 960  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^30 ]

R53.2 :  Type {4,56}_56  Order 896  mV = 14  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^56 ]

R53.3 :  Type {4,56}_28  Order 896  mV = 14  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^14 * R^2 * S^5 * R^-1 * S^-1 * R * S^8 ]

R53.4 :  Type {4,108}_108  Order 864  mV = 54  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^108 ]

R53.5 :  Type {4,212}_106  Order 848  mV = 212  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^53 * R^2 * S^53 ]

R53.6 :  Type {6,16}_48  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^16 ]

R53.7 :  Type {6,16}_48  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R53.8 :  Type {6,16}_24  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^-3 * S^-5, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ]

R53.9 :  Type {6,42}_28  Order 672  mV = 14  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-6 * R^2 * S^-1 * R^2 * S^-7 ]

R53.10 :  Type {6,159}_106  Order 636  mV = 159  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-27 * R * S * R^-1 * S^-25 ]

R53.11 :  Type {8,20}_40  Order 640  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^20 ]

R53.12 :  Type {8,20}_20  Order 640  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 ]

R53.13 :  Type {8,72}_36  Order 576  mV = 36  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^18 * R^4 * S^18 ]

R53.14 :  Type {8,72}_36  Order 576  mV = 36  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^18 * R * S^-1 * R * S^17 ]

R53.15 :  Type {12,44}_66  Order 528  mV = 22  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^11 * R^6 * S^11 ]

R53.16 :  Type {16,32}_32  Order 512  mV = 8  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^8 * R * S^-3 * R * S^5 ]

R53.17 :  Type {16,32}_32  Order 512  mV = 8  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^8 * R * S^-3 * R * S^5 ]

R53.18 :  Type {16,32}_32  Order 512  mV = 16  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^-8 * R^-7 * S * T * S^-3 * T * S^2 * R^-1 * S^-2 ]

R53.19 :  Type {16,32}_32  Order 512  mV = 16  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^8 * R * S^-1 * R * S^7 ]

R53.20 :  Type {20,60}_12  Order 480  mV = 30  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^3 * R^-11 * S^4 * R^-1 * S ]

R53.21 :  Type {24,40}_30  Order 480  mV = 20  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^2 * R * S^-2 * R^5 * S^6 ]

R53.22 :  Type {24,40}_60  Order 480  mV = 20  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^4 * R^6 * S^6 ]

R53.23 :  Type {30,30}_4  Order 480  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^13 * R^-11 * S * R^-2 ]

R53.24 :  Type {56,56}_4  Order 448  mV = 28  mF = 28  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^30 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^5 ]

R53.25 :  Type {56,56}_4  Order 448  mV = 28  mF = 28  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-3 * R^9 * S^-1 * R^9 * S^-6 ]

R53.26 :  Type {107,214}_2  Order 428  mV = 214  mF = 107   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * R^-11 * T * R^2 * T * R^-45 ]

R53.27 :  Type {108,108}_2  Order 432  mV = 108  mF = 108  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^46 * T * R^-2 * T * R^11 * S^-48 * R ]

R53.28 :  Type {212,212}_2  Order 424  mV = 212  mF = 212  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^45 * T * R^-2 * T * R^11 * S^-47 * R ]


R54.1 :  Type {4,57}_114  Order 912  mV = 19  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-57 ]

R54.2 :  Type {4,110}_220  Order 880  mV = 55  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^110 ]

R54.3 :  Type {4,216}_216  Order 864  mV = 216  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^54 * R^2 * S^54 ]

R54.4 :  Type {6,56}_168  Order 672  mV = 28  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^56 ]

R54.5 :  Type {8,38}_152  Order 608  mV = 19  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^38 ]

R54.6 :  Type {10,135}_54  Order 540  mV = 135  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-14 * R * S * R^-1 * S^-12 ]

R54.7 :  Type {12,66}_44  Order 528  mV = 33  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^11 * R * S^-1 * R * S^10 ]

R54.8 :  Type {14,20}_140  Order 560  mV = 10  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^20 ]

R54.9 :  Type {14,126}_18  Order 504  mV = 126  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^9 * R * S^-1 * R * S^8 ]

R54.10 :  Type {20,120}_24  Order 480  mV = 120  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^6 * R^2 * S^6 ]

R54.11 :  Type {24,60}_40  Order 480  mV = 30  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-2 * R^-1 * S^2 * R^-2 * S^4 * R^-1 * S^-2 ]

R54.12 :  Type {26,117}_18  Order 468  mV = 117  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-4 * S^6 ]

R54.13 :  Type {30,40}_12  Order 480  mV = 10  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R ]

R54.14 :  Type {30,40}_24  Order 480  mV = 20  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S * R * S^-3 * R * S^4 ]

R54.15 :  Type {38,114}_6  Order 456  mV = 114  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^5 * R^-5 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ]

R54.16 :  Type {57,57}_4  Order 456  mV = 19  mF = 19  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^40 * R^-1 * S * R^-11 * S^2 ]

R54.17 :  Type {74,111}_6  Order 444  mV = 111  mF = 37   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^9 * S^-1 * R^3 * S^-1 * R^10 * S^-1 * R * S^-2 * R * S^-1 * R^4 * S^-1 ]

R54.18 :  Type {109,218}_2  Order 436  mV = 218  mF = 109   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^49 * R^-11 * T * R^2 * T * R^-45 * S ]

R54.19 :  Type {110,110}_2  Order 440  mV = 110  mF = 110  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * T * R^-2 * T * R^11 * S^-50 ]

R54.20 :  Type {216,216}_2  Order 432  mV = 216  mF = 216  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^46 * T * R^-2 * T * R^11 * S^-49 ]


R55.1 :  Type {3,12}_72  Order 2592  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 ]

R55.2 :  Type {3,24}_6  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^24 ]

R55.3 :  Type {3,60}_20  Order 1440  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5 ]

R55.4 :  Type {4,6}_18  Order 2592  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, (R * S^-2)^6 ]

R55.5 :  Type {4,6}_6  Order 2592  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^6 ]

R55.6 :  Type {4,10}_8  Order 1440  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2 ]

R55.7 :  Type {4,10}_8  Order 1440  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, 
S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R ]

R55.8 :  Type {4,10}_10  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^10,
S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R55.9 :  Type {4,12}_6  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R55.10 :  Type {4,16}_48  Order 1152  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^16 ]

R55.11 :  Type {4,16}_48  Order 1152  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ]

R55.12 :  Type {4,28}_42  Order 1008  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-1 * R^-1 * S^5 * R * S^-1 * R^2 * S^-5 * R * S^2 ]

R55.13 :  Type {4,112}_112  Order 896  mV = 56  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^112 ]

R55.14 :  Type {4,112}_112  Order 896  mV = 56  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^28 * R * S^-1 * R * S^27 ]

R55.15 :  Type {4,220}_110  Order 880  mV = 220  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^55 * R^2 * S^55 ]

R55.16 :  Type {5,6}_10  Order 1620  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ]

R55.17 :  Type {6,6}_4  Order 1296  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-2 * R * S^-1 * R ]

R55.18 :  Type {6,6}_12  Order 1296  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, S^-1 * R^-2 * S * R * S^-2 * R^3 * S^2 * R^-1 * S^-1 * R^2 * S^-2 ]

R55.19 :  Type {6,9}_18  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, 
S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S^-1 * R ]

R55.20 :  Type {6,9}_18  Order 972  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, 
S^-9 ]

R55.21 :  Type {6,9}_6  Order 972  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R^-2 * S)^3, S * R * S^-2 * R^2 * S^3 * R^-1 ]

R55.22 :  Type {6,9}_18  Order 972  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-9, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ]

R55.23 :  Type {6,9}_18  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, 
R^-1 * S^2 * R^-2 * S^2 * R^-1 * S, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * R^3 * S^-1 * R ]

R55.24 :  Type {6,12}_6  Order 864  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, 
S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ]

R55.25 :  Type {6,12}_24  Order 864  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ]

R55.26 :  Type {6,12}_6  Order 864  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^12 ]

R55.27 :  Type {6,12}_6  Order 864  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, 
S^12 ]

R55.28 :  Type {6,21}_42  Order 756  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-21 ]

R55.29 :  Type {6,30}_10  Order 720  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S^-2 * R * S^-1)^3, S * R * S^-4 * R * S^5 ]

R55.30 :  Type {6,57}_114  Order 684  mV = 19  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-57 ]

R55.31 :  Type {6,165}_110  Order 660  mV = 165  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-28 * R^2 * S^-27 ]

R55.32 :  Type {7,7}_18  Order 1008  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2 ]

R55.33 :  Type {12,12}_6  Order 648  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^5 * S * R^-3, 
S * R * S^-3 * R * S^4 ]

R55.34 :  Type {12,24}_12  Order 576  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ]

R55.35 :  Type {12,24}_6  Order 576  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^4, R^12, R * S^-2 * R^4 * S^-2 * R * S^-2 ]

R55.36 :  Type {12,24}_24  Order 576  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2 ]

R55.37 :  Type {12,24}_24  Order 576  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^12 ]

R55.38 :  Type {12,24}_24  Order 576  mV = 4  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^24 ]

R55.39 :  Type {12,24}_24  Order 576  mV = 4  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^5 * R * S^-5 * R * S^2 ]

R55.40 :  Type {12,24}_6  Order 576  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, 
S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ]

R55.41 :  Type {12,24}_12  Order 576  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, 
S^-1 * R^2 * S^-1 * R^2 * S^-4 ]

R55.42 :  Type {12,24}_24  Order 576  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^24 ]

R55.43 :  Type {12,24}_24  Order 576  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^5 * R * S^-1 * R * S^6 ]

R55.44 :  Type {12,132}_22  Order 528  mV = 132  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^11 * R * S^-4 * R * S^7 ]

R55.45 :  Type {15,30}_6  Order 540  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^3 * S^-2 * R^6 * S^-4 ]

R55.46 :  Type {16,16}_6  Order 576  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-2 * T * R^-2 * S^2 * R^-6 * S * T * S^-1 * R ]

R55.47 :  Type {16,16}_12  Order 576  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S ]

R55.48 :  Type {24,120}_10  Order 480  mV = 120  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^2 * S^-1 * R^16 * S^-1 * R * S^-2 * R ]

R55.49 :  Type {24,120}_20  Order 480  mV = 120  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^2 * S^-5 ]

R55.50 :  Type {28,28}_6  Order 504  mV = 7  mF = 7  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^9 * S^-1 * R * S^-1 * R * S^-1 ]

R55.51 :  Type {30,60}_8  Order 480  mV = 20  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-10 * S^2 * R^-1 * S ]

R55.52 :  Type {39,78}_6  Order 468  mV = 39  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^7 * S^-4 * R^2 * S^-1 * R * S^-1 * R^12 * S^-1 * R^5 * S^-4 ]

R55.53 :  Type {46,115}_10  Order 460  mV = 115  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-4 * R^14 * S^-1 * R * S^-1 * R * S^-1 ]

R55.54 :  Type {111,222}_2  Order 444  mV = 222  mF = 111   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * S^-1 * R * S^-1 * T * R^-59 ]

R55.55 :  Type {112,112}_4  Order 448  mV = 112  mF = 112  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^29 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^4 * S^-1 ]

R55.56 :  Type {112,112}_2  Order 448  mV = 112  mF = 112  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^96 * S^-1 * R^11 * T * S * R^-1 * S * T ]

R55.57 :  Type {220,220}_2  Order 440  mV = 220  mF = 220  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * T * R^-2 * T * R^11 * S^-49 * R ]


R56.1 :  Type {3,12}_10  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S)^5,
S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ]

R56.2 :  Type {3,12}_12  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, S^-2 * R * S^-3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ]

R56.3 :  Type {4,6}_10  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2, 
S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ]

R56.4 :  Type {4,114}_228  Order 912  mV = 57  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^114 ]

R56.5 :  Type {4,224}_224  Order 896  mV = 224  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^56 * R^2 * S^56 ]

R56.6 :  Type {6,6}_10  Order 1320  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R^-2 * S)^3, (S * R^-1 * S)^3, (S^-1 * R)^5 ]

R56.7 :  Type {6,58}_174  Order 696  mV = 29  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^58 ]

R56.8 :  Type {6,168}_56  Order 672  mV = 168  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^28 * R^2 * S^28 ]

R56.9 :  Type {8,10}_8  Order 800  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^10 ]

R56.10 :  Type {8,21}_84  Order 672  mV = 7  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-21 ]

R56.11 :  Type {8,76}_152  Order 608  mV = 38  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^19 * R^4 * S^19 ]

R56.12 :  Type {10,30}_30  Order 600  mV = 15  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^30 ]

R56.13 :  Type {10,30}_30  Order 600  mV = 6  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^30 ]

R56.14 :  Type {10,30}_30  Order 600  mV = 15  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^10, S^-1 * R^2 * S^-1 * R^2 * S^-4 ]

R56.15 :  Type {10,140}_28  Order 560  mV = 140  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^14 * R * S^-3 * R * S^11 ]

R56.16 :  Type {16,18}_144  Order 576  mV = 9  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^18 ]

R56.17 :  Type {18,126}_14  Order 504  mV = 126  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, R^-2 * S * R^-13 * S * R^-1 ]

R56.18 :  Type {25,50}_10  Order 500  mV = 25  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, S^-1 * R^4 * S^-1 * R^12 * S^-1 * R^4 * S^-1 * R ]

R56.19 :  Type {30,120}_8  Order 480  mV = 120  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^4 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^4 ]

R56.20 :  Type {34,119}_14  Order 476  mV = 119  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, S * R^-10 * S^6 ]

R56.21 :  Type {40,60}_24  Order 480  mV = 30  mF = 20   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-2 * R^4 * S^-4 ]

R56.22 :  Type {58,116}_4  Order 464  mV = 116  mF = 29   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^24 * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ]

R56.23 :  Type {113,226}_2  Order 452  mV = 226  mF = 113   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * T * S^-1 * R * S^-1 * T * R^-61 * S ]

R56.24 :  Type {114,114}_2  Order 456  mV = 114  mF = 114  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^62 * S^-1 * T * R^-2 * S * T * S^-48 ]

R56.25 :  Type {224,224}_2  Order 448  mV = 224  mF = 224  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^97 * S^-1 * R^11 * T * S * R^-1 * S * T ]


R57.1 :  Type {3,18}_14  Order 2016  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^4 * R^-1 * S * R^-1 * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ]

R57.2 :  Type {4,6}_8  Order 2688  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-1)^8, S^-1 * R * S^-3 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * R ]

R57.3 :  Type {4,18}_18  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^18 ]

R57.4 :  Type {4,18}_72  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^18 ]

R57.5 :  Type {4,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^32 ]

R57.6 :  Type {4,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
S^-2 * R^-1 * S^11 * R^-1 * S^-3 ]

R57.7 :  Type {4,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^5 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^6 ]

R57.8 :  Type {4,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ]

R57.9 :  Type {4,60}_60  Order 960  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^60 ]

R57.10 :  Type {4,60}_30  Order 960  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^15 * R * S^-2 * R * S^13 ]

R57.11 :  Type {4,60}_60  Order 960  mV = 15  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^60 ]

R57.12 :  Type {4,116}_116  Order 928  mV = 58  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^116 ]

R57.13 :  Type {4,228}_114  Order 912  mV = 228  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^57 * R^2 * S^57 ]

R57.14 :  Type {5,8}_20  Order 1280  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 ]

R57.15 :  Type {6,6}_8  Order 1344  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ]

R57.16 :  Type {6,10}_10  Order 960  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^10, S^3 * R * S^-1 * R^2 * S^3 * R^-1 * S ]

R57.17 :  Type {6,10}_8  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ]

R57.18 :  Type {6,24}_8  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, 
R^-1 * S^2 * R * S^-1 * R^2 * S^-5 ]

R57.19 :  Type {6,24}_16  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, S^-5 * R^-2 * S^-5 * R ]

R57.20 :  Type {8,12}_6  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-2 * R * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3 ]

R57.21 :  Type {8,12}_12  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-2 * R * S^3, 
S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R ]

R57.22 :  Type {8,12}_12  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 ]

R57.23 :  Type {8,12}_6  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ]

R57.24 :  Type {8,12}_12  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ]

R57.25 :  Type {8,12}_24  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^-2 * R * S ]

R57.26 :  Type {8,12}_12  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R57.27 :  Type {8,12}_6  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ]

R57.28 :  Type {8,12}_12  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R57.29 :  Type {8,12}_6  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ]

R57.30 :  Type {8,12}_6  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, 
S * R * S^-1 * R^4 * S^-1 * R * S^3 ]

R57.31 :  Type {8,12}_12  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, (R * S^-3 * R)^2 ]

R57.32 :  Type {8,12}_6  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ]

R57.33 :  Type {8,12}_12  Order 768  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, 
S^12 ]

R57.34 :  Type {8,12}_24  Order 768  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ]

R57.35 :  Type {8,12}_12  Order 768  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 ]

R57.36 :  Type {8,12}_24  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, 
S^12 ]

R57.37 :  Type {8,12}_24  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3 * R)^2 ]

R57.38 :  Type {8,12}_24  Order 768  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ]

R57.39 :  Type {8,12}_24  Order 768  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^12 ]

R57.40 :  Type {8,12}_24  Order 768  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^12 ]

R57.41 :  Type {8,12}_12  Order 768  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 ]

R57.42 :  Type {8,12}_24  Order 768  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^12 ]

R57.43 :  Type {8,40}_40  Order 640  mV = 20  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^40 ]

R57.44 :  Type {8,40}_40  Order 640  mV = 10  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^40 ]

R57.45 :  Type {8,40}_40  Order 640  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R^3 * S^-2 * R * S^8 ]

R57.46 :  Type {8,40}_20  Order 640  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R^4 * S^10 ]

R57.47 :  Type {8,40}_40  Order 640  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^10 * R^3 * S^-4 * R * S^6 ]

R57.48 :  Type {8,40}_40  Order 640  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R * S^-1 * R * S^9 ]

R57.49 :  Type {8,152}_38  Order 608  mV = 152  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^19 * R * S^-2 * R * S^17 ]

R57.50 :  Type {8,152}_76  Order 608  mV = 152  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^19 * R^2 * S^19 ]

R57.51 :  Type {10,20}_8  Order 640  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, R^10, (R * S^-1 * R * S^-1 * R)^2 ]

R57.52 :  Type {10,20}_4  Order 640  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^10, (R * S^-1 * R^3)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 ]

R57.53 :  Type {14,21}_42  Order 588  mV = 3  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-21 ]

R57.54 :  Type {14,133}_38  Order 532  mV = 133  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-10 * R^2 * S^-9 ]

R57.55 :  Type {18,18}_8  Order 576  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S^3 * R^-2 * S^3 * R^-10 ]

R57.56 :  Type {18,18}_4  Order 576  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-1 * S * R^-1, R^-5 * S^2 * R^-7 * S * R^-1 * S^2 ]

R57.57 :  Type {32,32}_16  Order 512  mV = 8  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, R^-1 * S^3 * R^-7 * S^3 * R^-2 ]

R57.58 :  Type {32,32}_8  Order 512  mV = 8  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-3 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-4 * S ]

R57.59 :  Type {32,32}_16  Order 512  mV = 8  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-4 * S^4 * R^-1 * S ]

R57.60 :  Type {32,32}_8  Order 512  mV = 8  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^4 * R^-5 * S * R^-2 * S^3 * R^-1 ]

R57.61 :  Type {32,32}_8  Order 512  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^-2 * S^2 * R^-8 * S^2 * R^-2 ]

R57.62 :  Type {32,32}_4  Order 512  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-3 * R^12 * S^-1 * R^9 * S^-3 * R * S^-3 ]

R57.63 :  Type {32,32}_4  Order 512  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-2 * S * R^-1 * S * R^-8 * S * R^-1 * S ]

R57.64 :  Type {32,32}_8  Order 512  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * T * R^-2 * S * R^-6 * S^2 * T * R^2 * S^-1 ]

R57.65 :  Type {40,120}_6  Order 480  mV = 120  mF = 20   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^6 * R^-5 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-6 ]

R57.66 :  Type {40,120}_12  Order 480  mV = 120  mF = 20   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^-1 * S * R^-1 * S * R^-10 * S^6 ]

R57.67 :  Type {60,60}_4  Order 480  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^13 * R^-12 * S^2 ]

R57.68 :  Type {60,60}_4  Order 480  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^43 * R^-1 * S * R^-11 * S^2 ]

R57.69 :  Type {60,60}_4  Order 480  mV = 30  mF = 30  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^27 * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-5 * S ]

R57.70 :  Type {115,230}_2  Order 460  mV = 230  mF = 115   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T * R^-50 ]

R57.71 :  Type {116,116}_2  Order 464  mV = 116  mF = 116  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^100 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ]

R57.72 :  Type {228,228}_2  Order 456  mV = 228  mF = 228  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^62 * S^-1 * T * R^-2 * S * T * S^-47 * R ]


R58.1 :  Type {4,42}_28  Order 1008  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^3 * R * S^-4 * R * S^4 * R^-1 * S^-1 * R * S^2 ]

R58.2 :  Type {4,118}_236  Order 944  mV = 59  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^118 ]

R58.3 :  Type {4,232}_232  Order 928  mV = 232  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^58 * R^2 * S^58 ]

R58.4 :  Type {6,60}_60  Order 720  mV = 20  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^60 ]

R58.5 :  Type {6,60}_60  Order 720  mV = 30  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^60 ]

R58.6 :  Type {6,60}_60  Order 720  mV = 30  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^10 * R * S^-3 * R * S^7 ]

R58.7 :  Type {6,174}_58  Order 696  mV = 174  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^29 * R * S^-1 * R * S^28 ]

R58.8 :  Type {10,145}_58  Order 580  mV = 145  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-15 * R * S^2 * R^-1 * S^-12 ]

R58.9 :  Type {12,48}_48  Order 576  mV = 24  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, R * S^-1 * R^-1 * S^2 * R^-2 * S^4 * R^-1 * S^-1 * R ]

R58.10 :  Type {12,48}_48  Order 576  mV = 16  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^12 * R * S^-2 * R * S^10 ]

R58.11 :  Type {12,48}_48  Order 576  mV = 24  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^12 * R^6 * S^12 ]

R58.12 :  Type {18,45}_30  Order 540  mV = 15  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-8 * R * S^3 * R^-1 * S^-4 ]

R58.13 :  Type {42,42}_6  Order 504  mV = 21  mF = 21  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^9 * S^-1 * R^3 * S^-1 ]

R58.14 :  Type {42,42}_6  Order 504  mV = 14  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^7 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ]

R58.15 :  Type {60,120}_8  Order 480  mV = 120  mF = 30   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^2 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^2 * S^-2 ]

R58.16 :  Type {117,234}_2  Order 468  mV = 234  mF = 117   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^100 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ]

R58.17 :  Type {118,118}_2  Order 472  mV = 118  mF = 118  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R * S^-46 ]

R58.18 :  Type {232,232}_2  Order 464  mV = 232  mF = 232  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^99 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ]


R59.1 :  Type {4,120}_120  Order 960  mV = 60  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^120 ]

R59.2 :  Type {4,120}_120  Order 960  mV = 60  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^30 * R * S^-1 * R * S^29 ]

R59.3 :  Type {4,236}_118  Order 944  mV = 236  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^59 * R^2 * S^59 ]

R59.4 :  Type {6,177}_118  Order 708  mV = 177  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-31 * R * S^4 * R^-1 * S^-24 ]

R59.5 :  Type {8,80}_80  Order 640  mV = 40  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^20 * R^4 * S^20 ]

R59.6 :  Type {8,80}_80  Order 640  mV = 40  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^20 * R * S^-1 * R * S^19 ]

R59.7 :  Type {20,28}_70  Order 560  mV = 14  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^7 * R^10 * S^7 ]

R59.8 :  Type {119,238}_2  Order 476  mV = 238  mF = 119   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^45 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * R^-55 * S ]

R59.9 :  Type {120,120}_4  Order 480  mV = 120  mF = 120  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^26 * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ]

R59.10 :  Type {120,120}_2  Order 480  mV = 120  mF = 120  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-2 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-48 * R ]

R59.11 :  Type {236,236}_2  Order 472  mV = 236  mF = 236  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R * S^-45 * R ]


R60.1 :  Type {4,63}_126  Order 1008  mV = 21  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-63 ]

R60.2 :  Type {4,122}_244  Order 976  mV = 61  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^122 ]

R60.3 :  Type {4,240}_240  Order 960  mV = 240  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^60 * R^2 * S^60 ]

R60.4 :  Type {6,62}_186  Order 744  mV = 31  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^62 ]

R60.5 :  Type {8,42}_84  Order 672  mV = 14  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-11 * R^4 * S^-10 ]

R60.6 :  Type {8,42}_168  Order 672  mV = 21  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^42 ]

R60.7 :  Type {10,32}_160  Order 640  mV = 16  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^32 ]

R60.8 :  Type {12,26}_156  Order 624  mV = 13  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^26 ]

R60.9 :  Type {14,22}_154  Order 616  mV = 11  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^22 ]

R60.10 :  Type {14,140}_20  Order 560  mV = 140  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^10 * R * S^-2 * R * S^8 ]

R60.11 :  Type {16,36}_144  Order 576  mV = 18  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^9 * R^-6 * S^6 * R^-1 * S^-1 * R * S^2 ]

R60.12 :  Type {22,132}_12  Order 528  mV = 132  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^17 * S^-1 * R * S^-1 * R^2 ]

R60.13 :  Type {26,130}_10  Order 520  mV = 130  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^2 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^2 ]

R60.14 :  Type {33,44}_6  Order 528  mV = 11  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-1 * S * R^-4 * S * R^-1 * S * R^-1 * S ]

R60.15 :  Type {62,124}_4  Order 496  mV = 124  mF = 31   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^28 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ]

R60.16 :  Type {63,63}_4  Order 504  mV = 21  mF = 21  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^46 * R^-1 * S * R^-11 * S^2 ]

R60.17 :  Type {82,123}_6  Order 492  mV = 123  mF = 41   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^5 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ]

R60.18 :  Type {121,242}_2  Order 484  mV = 242  mF = 121   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^102 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R60.19 :  Type {122,122}_2  Order 488  mV = 122  mF = 122  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^103 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R ]

R60.20 :  Type {240,240}_2  Order 480  mV = 240  mF = 240  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-2 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-49 ]


R61.1 :  Type {4,6}_60  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, (R * S^-2 * R * S^-2 * R * S^-1)^2 ]

R61.2 :  Type {4,6}_8  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ]

R61.3 :  Type {4,14}_8  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ]

R61.4 :  Type {4,24}_8  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
S^-6 * R^-2 * S^5 * R^-1 * S^-1 * R ]

R61.5 :  Type {4,24}_4  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 * S ]

R61.6 :  Type {4,64}_64  Order 1024  mV = 16  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^64 ]

R61.7 :  Type {4,64}_64  Order 1024  mV = 16  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^16 * R^2 * S^5 * R^-1 * S^-1 * R * S^10 ]

R61.8 :  Type {4,124}_124  Order 992  mV = 62  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^124 ]

R61.9 :  Type {4,244}_122  Order 976  mV = 244  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^61 * R^2 * S^61 ]

R61.10 :  Type {5,10}_30  Order 1200  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^10 ]

R61.11 :  Type {5,10}_6  Order 1200  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R61.12 :  Type {6,6}_6  Order 1440  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, 
S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ]

R61.13 :  Type {6,6}_6  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-2 * R * S^-1)^2, (R * S^-1 * R)^4 ]

R61.14 :  Type {6,6}_10  Order 1440  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, (R * S^-1 * R)^4, (R * S^-2)^4, S^2 * R * S^-1 * R^-2 * S * R^-3 * S^3 * R^-1 ]

R61.15 :  Type {6,12}_12  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ]

R61.16 :  Type {6,12}_6  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, 
R^2 * S^-2 * R^2 * S^4 ]

R61.17 :  Type {6,18}_36  Order 864  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^18 ]

R61.18 :  Type {6,48}_16  Order 768  mV = 16  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^7 * R * S^-1 * R^-2 * S^-1 * R * S^7 ]

R61.19 :  Type {6,48}_16  Order 768  mV = 16  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, 
S^-2 * R^2 * S^-1 * R^2 * S^-5 ]

R61.20 :  Type {6,63}_126  Order 756  mV = 21  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-63 ]

R61.21 :  Type {6,183}_122  Order 732  mV = 183  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-31 * R^2 * S^-30 ]

R61.22 :  Type {10,15}_6  Order 720  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R ]

R61.23 :  Type {14,14}_6  Order 672  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, 
S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2 ]

R61.24 :  Type {18,36}_8  Order 576  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-2 * S * R^-1 * S * R^-1 * S * R^-7 * S^3 * R^-1 ]

R61.25 :  Type {18,36}_4  Order 576  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, S^2 * R^-2 * T * S^-1 * R^10 * T * S * R^-2 ]

R61.26 :  Type {24,24}_12  Order 576  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, (R * S^-1 * R^4)^2, R * S^-1 * R^-3 * S * R^4 * S * R^-3 * S^-1 * R ]

R61.27 :  Type {24,24}_12  Order 576  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, (R^5 * S^-1 * R^6)^2 ]

R61.28 :  Type {24,24}_12  Order 576  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^5 * R^-12 * S^7 ]

R61.29 :  Type {24,24}_12  Order 576  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^5 * R * S^-1 * R * S^6 ]

R61.30 :  Type {30,45}_18  Order 540  mV = 15  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^2 * S^-4 * R^4 * S^-5 ]

R61.31 :  Type {33,66}_4  Order 528  mV = 22  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^16 * S^-2 * R * S^-1 * R^8 * S^-1 * R^2 * S^-1 ]

R61.32 :  Type {64,64}_4  Order 512  mV = 32  mF = 32  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^29 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-5 * S ]

R61.33 :  Type {64,64}_8  Order 512  mV = 32  mF = 32   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^2 * R^-3 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-3 * S^2 ]

R61.34 :  Type {64,64}_4  Order 512  mV = 32  mF = 32  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^12 * S^-1 * R^9 * S^-3 * R * S^-2 * R ]

R61.35 :  Type {123,246}_2  Order 492  mV = 246  mF = 123   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^51 * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T * R^-54 ]

R61.36 :  Type {124,124}_2  Order 496  mV = 124  mF = 124  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-51 * R ]

R61.37 :  Type {244,244}_2  Order 488  mV = 244  mF = 244  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^103 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-2 ]


R62.1 :  Type {4,126}_252  Order 1008  mV = 63  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^126 ]

R62.2 :  Type {4,248}_248  Order 992  mV = 248  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^62 * R^2 * S^62 ]

R62.3 :  Type {6,64}_192  Order 768  mV = 32  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^64 ]

R62.4 :  Type {6,186}_62  Order 744  mV = 186  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^31 * R^2 * S^31 ]

R62.5 :  Type {8,84}_168  Order 672  mV = 42  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^21 * R^4 * S^21 ]

R62.6 :  Type {10,155}_62  Order 620  mV = 155  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-16 * R * S^3 * R^-1 * S^-12 ]

R62.7 :  Type {20,70}_28  Order 560  mV = 35  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^7 * R * S^-1 * R * S^6 ]

R62.8 :  Type {44,66}_12  Order 528  mV = 33  mF = 22   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^-1 * R^2 * S^-4 * R^10 * S^-1 * R * S^-1 * R * S^-1 ]

R62.9 :  Type {125,250}_2  Order 500  mV = 250  mF = 125   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^106 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R62.10 :  Type {126,126}_2  Order 504  mV = 126  mF = 126  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^106 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R62.11 :  Type {248,248}_2  Order 496  mV = 248  mF = 248  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-52 ]


R63.1 :  Type {4,66}_66  Order 1056  mV = 22  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^66 ]

R63.2 :  Type {4,128}_128  Order 1024  mV = 64  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^128 ]

R63.3 :  Type {4,128}_128  Order 1024  mV = 64  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^32 * R * S^-1 * R * S^31 ]

R63.4 :  Type {4,252}_126  Order 1008  mV = 252  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^63 * R^2 * S^63 ]

R63.5 :  Type {7,9}_6  Order 1008  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-9 ]

R63.6 :  Type {7,9}_14  Order 1008  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R)^2, S * R^-1 * S * R^3 * S * R^-1 * S^2 ]

R63.7 :  Type {7,9}_14  Order 1008  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-7, S^-9, (R * S^-3 * R^2)^2 ]

R63.8 :  Type {8,44}_88  Order 704  mV = 22  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^44 ]

R63.9 :  Type {8,44}_88  Order 704  mV = 11  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^44 ]

R63.10 :  Type {8,168}_84  Order 672  mV = 168  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^21 * R * S^-2 * R * S^19 ]

R63.11 :  Type {8,168}_42  Order 672  mV = 168  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^21 * R^2 * S^21 ]

R63.12 :  Type {12,21}_56  Order 672  mV = 7  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R^4 * S^-3 ]

R63.13 :  Type {12,52}_78  Order 624  mV = 26  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^13 * R^6 * S^13 ]

R63.14 :  Type {16,20}_80  Order 640  mV = 10  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^20 ]

R63.15 :  Type {16,20}_80  Order 640  mV = 5  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, 
S^20 ]

R63.16 :  Type {16,144}_18  Order 576  mV = 144  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^13 * R^-1 * S^-1 * R * S^4 ]

R63.17 :  Type {16,144}_36  Order 576  mV = 144  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^9 * R * S^-4 * R * S^5 ]

R63.18 :  Type {20,140}_14  Order 560  mV = 140  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, S^3 * R^-11 * S^4 * R^-1 * S ]

R63.19 :  Type {38,133}_14  Order 532  mV = 133  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, R^-2 * S * R^-10 * S^6 ]

R63.20 :  Type {44,132}_6  Order 528  mV = 132  mF = 22   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^8 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ]

R63.21 :  Type {66,66}_4  Order 528  mV = 22  mF = 22  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^49 * R^-1 * S * R^-11 * S^2 ]

R63.22 :  Type {86,129}_6  Order 516  mV = 129  mF = 43   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^9 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-6 ]

R63.23 :  Type {127,254}_2  Order 508  mV = 254  mF = 127   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T * R^-54 ]

R63.24 :  Type {128,128}_4  Order 512  mV = 128  mF = 128  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^30 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ]

R63.25 :  Type {128,128}_2  Order 512  mV = 128  mF = 128  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^109 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R ]

R63.26 :  Type {252,252}_2  Order 504  mV = 252  mF = 252  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^107 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ]


R64.1 :  Type {3,24}_14  Order 2016  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^-3 * R * S^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ]

R64.2 :  Type {3,24}_8  Order 2016  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ]

R64.3 :  Type {3,42}_6  Order 1764  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-8 * R^-1 * S^13 * R^-1 * S^-7 ]

R64.4 :  Type {4,18}_4  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-18 ]

R64.5 :  Type {4,18}_36  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^18 ]

R64.6 :  Type {4,130}_260  Order 1040  mV = 65  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^130 ]

R64.7 :  Type {4,256}_256  Order 1024  mV = 256  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^64 * R^2 * S^64 ]

R64.8 :  Type {5,8}_8  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^8, (S * R^-1 * S)^3,
R * S^-1 * R^-2 * S^3 * R^-2 * S^-1 * R * S^-3 ]

R64.9 :  Type {5,8}_4  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8 ]

R64.10 :  Type {6,24}_8  Order 864  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ]

R64.11 :  Type {6,24}_24  Order 864  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S^5 ]

R64.12 :  Type {6,24}_24  Order 864  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 ]

R64.13 :  Type {6,24}_8  Order 864  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-3 * R * S^4, R^2 * S^-2 * R^3 * S^-3 * R * S^-1 ]

R64.14 :  Type {6,24}_24  Order 864  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^24 ]

R64.15 :  Type {6,24}_24  Order 864  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 ]

R64.16 :  Type {6,24}_24  Order 864  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5 ]

R64.17 :  Type {6,24}_24  Order 864  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^24 ]

R64.18 :  Type {6,24}_12  Order 864  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^5 * R^-3 * S^7 ]

R64.19 :  Type {6,66}_66  Order 792  mV = 33  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^11 * R * S^-1 * R * S^10 ]

R64.20 :  Type {6,66}_66  Order 792  mV = 22  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^66 ]

R64.21 :  Type {6,66}_66  Order 792  mV = 33  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^66 ]

R64.22 :  Type {6,192}_64  Order 768  mV = 192  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^32 * R * S^-1 * R * S^31 ]

R64.23 :  Type {8,12}_24  Order 864  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R64.24 :  Type {8,12}_24  Order 864  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1 ]

R64.25 :  Type {10,34}_170  Order 680  mV = 17  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^34 ]

R64.26 :  Type {10,160}_32  Order 640  mV = 160  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^16 * R^2 * S^16 ]

R64.27 :  Type {12,15}_30  Order 720  mV = 5  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^5 * S * R^-3, 
S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-15 ]

R64.28 :  Type {12,15}_6  Order 720  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S^4, S^-3 * R^-3 * S * R^-3 * S^-1, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1 ]

R64.29 :  Type {12,78}_52  Order 624  mV = 39  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^13 * R * S^-3 * R * S^10 ]

R64.30 :  Type {18,18}_6  Order 648  mV = 3  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-2 * R^11 * S^-1 * R * S^-1 ]

R64.31 :  Type {18,18}_6  Order 648  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^-5 * S * R^-11 * S ]

R64.32 :  Type {18,18}_18  Order 648  mV = 9  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-1 * S * R^-2 * S * R^-6 * S * R^-5 * S, R^18 ]

R64.33 :  Type {18,18}_6  Order 648  mV = 3  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-5, 
S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R ]

R64.34 :  Type {18,18}_18  Order 648  mV = 9  mF = 9  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^18 ]

R64.35 :  Type {18,144}_16  Order 576  mV = 144  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ]

R64.36 :  Type {21,42}_14  Order 588  mV = 21  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-8 * S^-1 * R^5, S^-1 * R^13 * S^-1 * R^6 ]

R64.37 :  Type {28,70}_20  Order 560  mV = 35  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^4 * S^-6 ]

R64.38 :  Type {34,136}_8  Order 544  mV = 136  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^6 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^6 ]

R64.39 :  Type {45,90}_6  Order 540  mV = 45  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^11 * S^-5 * R^2 * S^-1 * R * S^-1 * T * R^-12 * T * S^-1 * R^5 * S^-5 ]

R64.40 :  Type {66,132}_4  Order 528  mV = 132  mF = 33   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^32 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ]

R64.41 :  Type {129,258}_2  Order 516  mV = 258  mF = 129   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^59 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T * R^-52 * S ]

R64.42 :  Type {130,130}_2  Order 520  mV = 130  mF = 130  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^114 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T ]

R64.43 :  Type {256,256}_2  Order 512  mV = 256  mF = 256  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^109 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-2 ]


R65.1 :  Type {3,8}_12  Order 6144  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S, S * R * S^-3 * R^-1 * S^2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^-3 * R * S^2 ]

R65.2 :  Type {3,10}_10  Order 3840  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (S * R^-1 * S)^5,
S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ]

R65.3 :  Type {3,12}_16  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 ]

R65.4 :  Type {4,5}_10  Order 5120  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^8, 
S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-2 ]

R65.5 :  Type {4,6}_12  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, (R * S^-1)^8, R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R * S^2, 
R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ]

R65.6 :  Type {4,6}_6  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^8 ]

R65.7 :  Type {4,6}_12  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, (R * S^-1)^8, R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R * S^2, R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ]

R65.8 :  Type {4,6}_24  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1, R * S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * S ]

R65.9 :  Type {4,6}_12  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, (R * S^-1)^8, R * S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ]

R65.10 :  Type {4,6}_24  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, (R * S^-1)^8, R * S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ]

R65.11 :  Type {4,6}_12  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ]

R65.12 :  Type {4,6}_12  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, (R * S^-1)^8, R * S^-1 * R * S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R * S^-1 * R * S^2, R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ]

R65.13 :  Type {4,8}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ]

R65.14 :  Type {4,8}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S ]

R65.15 :  Type {4,8}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-1)^8 ]

R65.16 :  Type {4,8}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ]

R65.17 :  Type {4,8}_8  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ]

R65.18 :  Type {4,8}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ]

R65.19 :  Type {4,8}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R65.20 :  Type {4,8}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R * S^2 ]

R65.21 :  Type {4,8}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S ]

R65.22 :  Type {4,8}_8  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ]

R65.23 :  Type {4,8}_8  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R65.24 :  Type {4,8}_32  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R^2 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ]

R65.25 :  Type {4,12}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R ]

R65.26 :  Type {4,12}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 ]

R65.27 :  Type {4,12}_6  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4, (R * S^-5)^2, S^12 ]

R65.28 :  Type {4,12}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, (R * S^-2)^4 ]

R65.29 :  Type {4,12}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^-4 * R ]

R65.30 :  Type {4,12}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12 ]

R65.31 :  Type {4,12}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ]

R65.32 :  Type {4,12}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S^12, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ]

R65.33 :  Type {4,12}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ]

R65.34 :  Type {4,12}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^12 ]

R65.35 :  Type {4,12}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ]

R65.36 :  Type {4,12}_48  Order 1536  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, (R * S^-1)^8 ]

R65.37 :  Type {4,20}_10  Order 1280  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ]

R65.38 :  Type {4,20}_10  Order 1280  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S * R * S^-4 * R * S^5 ]

R65.39 :  Type {4,20}_20  Order 1280  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^20 ]

R65.40 :  Type {4,20}_20  Order 1280  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-4 * R * S^5 ]

R65.41 :  Type {4,20}_40  Order 1280  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^20 ]

R65.42 :  Type {4,36}_36  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^36 ]

R65.43 :  Type {4,36}_72  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-8 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-7 ]

R65.44 :  Type {4,36}_72  Order 1152  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^36 ]

R65.45 :  Type {4,68}_68  Order 1088  mV = 17  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^68 ]

R65.46 :  Type {4,132}_132  Order 1056  mV = 66  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^132 ]

R65.47 :  Type {4,260}_130  Order 1040  mV = 260  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^65 * R^2 * S^65 ]

R65.48 :  Type {5,5}_8  Order 2560  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (S^-1 * R)^5, 
R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2, S^-2 * R^-2 * S^2 * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R ]

R65.49 :  Type {5,6}_10  Order 1920  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (S^-1 * R)^5, (R * S^-2)^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S * R^-1 * S^2 * R^-1 * S ]

R65.50 :  Type {6,6}_16  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S * R * S^-1 * R^-1 ]

R65.51 :  Type {6,6}_8  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4 ]

R65.52 :  Type {6,6}_16  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S * R^-2 * S ]

R65.53 :  Type {6,6}_4  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^6 ]

R65.54 :  Type {6,6}_8  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, (S^-1 * R^2 * S^-1)^3 ]

R65.55 :  Type {6,6}_8  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, 
S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R65.56 :  Type {6,6}_8  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ]

R65.57 :  Type {6,6}_8  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R65.58 :  Type {6,6}_8  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^2 * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S^-1 * R ]

R65.59 :  Type {6,6}_8  Order 1536  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ]

R65.60 :  Type {6,7}_28  Order 1344  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-7, (R * S^-1 * R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ]

R65.61 :  Type {6,15}_40  Order 960  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 ]

R65.62 :  Type {6,51}_68  Order 816  mV = 17  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-9 * R^2 * S^-1 * R^2 * S^-7 ]

R65.63 :  Type {6,195}_130  Order 780  mV = 195  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-33 * R * S * R^-1 * S^-31 ]

R65.64 :  Type {8,8}_8  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3 ]

R65.65 :  Type {8,8}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^8, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R65.66 :  Type {8,8}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ]

R65.67 :  Type {8,8}_8  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S^8, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ]

R65.68 :  Type {8,8}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S * R * S^-3 * R^2 * S^4 * R^-1 ]

R65.69 :  Type {8,8}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ]

R65.70 :  Type {8,8}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R65.71 :  Type {8,8}_16  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ]

R65.72 :  Type {8,8}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ]

R65.73 :  Type {8,8}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R65.74 :  Type {8,8}_16  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ]

R65.75 :  Type {8,8}_16  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ]

R65.76 :  Type {8,8}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ]


R65.77 :  Type {8,8}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^8, R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ]

R65.78 :  Type {8,8}_16  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 ]

R65.79 :  Type {8,8}_16  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^8 ]

R65.80 :  Type {8,8}_16  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 ]

R65.81 :  Type {8,8}_8  Order 1024  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S * R * S^-2 * R^2 * S * R^-1 * S^2 ]

R65.82 :  Type {8,8}_4  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8 ]

R65.83 :  Type {8,8}_8  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ]

R65.84 :  Type {8,8}_8  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^8, 
S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ]

R65.85 :  Type {8,8}_8  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ]

R65.86 :  Type {8,8}_4  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ]

R65.87 :  Type {8,8}_4  Order 1024  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, S^8, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ]

R65.88 :  Type {8,24}_24  Order 768  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ]

R65.89 :  Type {8,24}_24  Order 768  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^24 ]

R65.90 :  Type {8,24}_12  Order 768  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^3 ]

R65.91 :  Type {8,24}_12  Order 768  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R65.92 :  Type {8,24}_24  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^24 ]

R65.93 :  Type {8,24}_24  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^3 * R * S^-2 * R^-3 * S^7 ]

R65.94 :  Type {8,24}_6  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ]

R65.95 :  Type {8,24}_12  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^3 * S^2 * R^-1 * S^-1 ]

R65.96 :  Type {8,24}_12  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ]

R65.97 :  Type {8,24}_12  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, 
S^-5 * R^2 * S^-1 * R^-1 * S^4 * R^-1 * S^-2 ]

R65.98 :  Type {8,24}_24  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ]

R65.99 :  Type {8,24}_24  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-6 * R)^2 ]

R65.100 :  Type {8,24}_24  Order 768  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 ]

R65.101 :  Type {8,24}_24  Order 768  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 ]

R65.102 :  Type {8,24}_24  Order 768  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^6 * R * S^-1 * R^2 * S^-1 * R * S^4 ]

R65.103 :  Type {8,24}_12  Order 768  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ]

R65.104 :  Type {8,24}_24  Order 768  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^6 * R^4 * S^6 ]

R65.105 :  Type {8,24}_12  Order 768  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S^2 * R * S^-5 * R^2 * S^-1 * R * S^4 ]

R65.106 :  Type {8,24}_24  Order 768  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-5 * R^2 * S^-6 ]

R65.107 :  Type {8,24}_24  Order 768  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^6 * R^4 * S^6 ]

R65.108 :  Type {8,24}_24  Order 768  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ]

R65.109 :  Type {8,24}_12  Order 768  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ]

R65.110 :  Type {8,88}_44  Order 704  mV = 44  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^22 * R^3 * S^-5 * R^-1 * S^17 ]

R65.111 :  Type {8,88}_44  Order 704  mV = 44  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^22 * R * S^-1 * R * S^21 ]

R65.112 :  Type {12,12}_8  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2 ]

R65.113 :  Type {12,12}_8  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-2,
R^12, S^-1 * R^6 * S^-5 ]

R65.114 :  Type {12,12}_8  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^4, R^12, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ]

R65.115 :  Type {12,12}_8  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-1 * S^2, 
R^12, S^-1 * R^6 * S^-5 ]

R65.116 :  Type {12,12}_8  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^3 * R^-2 ]

R65.117 :  Type {12,12}_4  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^12, S^-1 * R^6 * S^-5, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ]

R65.118 :  Type {12,12}_8  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ]

R65.119 :  Type {12,12}_4  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^12, S^-1 * R^6 * S^-5, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ]

R65.120 :  Type {12,12}_8  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S^2 * R^-1 * S, R^12, (R * S^-1 * R)^4 ]

R65.121 :  Type {12,12}_8  Order 768  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12 ]

R65.122 :  Type {12,12}_8  Order 768  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^12 ]

R65.123 :  Type {12,12}_4  Order 768  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1 ]

R65.124 :  Type {12,12}_8  Order 768  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-2)^4 ]

R65.125 :  Type {12,12}_8  Order 768  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ]

R65.126 :  Type {12,28}_84  Order 672  mV = 14  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^28 ]

R65.127 :  Type {12,156}_26  Order 624  mV = 156  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^13 * R^2 * S^13 ]

R65.128 :  Type {20,20}_4  Order 640  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S^-1 * R^5 * S^-4, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ]

R65.129 :  Type {20,20}_8  Order 640  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, S * R * S^-1 * R^3 * S^3 * R^-1 ]

R65.130 :  Type {20,20}_4  Order 640  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^4, S^-2 * R * S^-2 * R * S^-1 * R^9 * S^-2 * R^2 ]

R65.131 :  Type {20,20}_8  Order 640  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^4, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ]

R65.132 :  Type {20,20}_8  Order 640  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^7 * S^-4 * R^2 * S^-1 * R ]

R65.133 :  Type {22,143}_26  Order 572  mV = 143  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S * R * S^-10 ]

R65.134 :  Type {28,140}_10  Order 560  mV = 140  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S * R^-1 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-2 * S ]

R65.135 :  Type {36,36}_4  Order 576  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^18 * S^-1 * R * S^-2 * R^8 * S^-1 * R^2 * S^-1 * R ]

R65.136 :  Type {36,36}_8  Order 576  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-1 * S * R^-1 * S^5 * R^-8 * S ]

R65.137 :  Type {36,36}_4  Order 576  mV = 9  mF = 9  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^3 * R^-12 * S^2 * R^-13 * S * R^-2 * S * R^-1 * S ]

R65.138 :  Type {54,135}_10  Order 540  mV = 135  mF = 27   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^2 * R^-2 * S * R^-16 * S * R^-1 * S * R^-1 * S^2 ]

R65.139 :  Type {68,68}_4  Order 544  mV = 34  mF = 34  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^39 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^7 ]

R65.140 :  Type {131,262}_2  Order 524  mV = 262  mF = 131   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^57 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-10 * S * R^-55 ]

R65.141 :  Type {132,132}_2  Order 528  mV = 132  mF = 132  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * T * R^-56 * S ]

R65.142 :  Type {260,260}_2  Order 520  mV = 260  mF = 260  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^113 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T ]


R66.1 :  Type {3,26}_6  Order 2028  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^26 ]

R66.2 :  Type {4,30}_12  Order 1200  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^6 ]

R66.3 :  Type {4,69}_138  Order 1104  mV = 23  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-69 ]

R66.4 :  Type {4,134}_268  Order 1072  mV = 67  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^134 ]

R66.5 :  Type {4,264}_264  Order 1056  mV = 264  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^66 * R^2 * S^66 ]

R66.6 :  Type {6,68}_204  Order 816  mV = 34  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^68 ]

R66.7 :  Type {8,20}_8  Order 800  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R * S^-3 * R^-2 * S^6 ]

R66.8 :  Type {8,46}_184  Order 736  mV = 23  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^46 ]

R66.9 :  Type {9,10}_18  Order 900  mV = 1  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^10 ]

R66.10 :  Type {10,35}_70  Order 700  mV = 7  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-35 ]

R66.11 :  Type {10,165}_66  Order 660  mV = 165  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-17 * R^2 * S^-16 ]

R66.12 :  Type {13,26}_26  Order 676  mV = 13  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-13 ]

R66.13 :  Type {14,24}_168  Order 672  mV = 12  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^24 ]

R66.14 :  Type {14,154}_22  Order 616  mV = 154  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^11 * R * S^-3 * R * S^8 ]

R66.15 :  Type {26,143}_22  Order 572  mV = 143  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^-2 * S^6 ]

R66.16 :  Type {30,30}_10  Order 600  mV = 15  mF = 15  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S * R^-1 * S, S^4 * R * S^-1 * R * S^5 ]

R66.17 :  Type {30,30}_10  Order 600  mV = 6  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^23 * S^-1 * R * S^-1 * R^4 ]

R66.18 :  Type {46,138}_6  Order 552  mV = 138  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^11 * R^-6 * S * R^-1 * S^2 * R^-1 * T * S^-1 * R^10 * S^-1 * T * R^-1 * S^2 * R^-1 * S * R^-6 * S ]

R66.19 :  Type {68,136}_8  Order 544  mV = 136  mF = 34   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^4 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^4 * S^-2 ]

R66.20 :  Type {69,69}_4  Order 552  mV = 23  mF = 23  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^52 * R^-1 * S * R^-11 * S^2 ]

R66.21 :  Type {133,266}_2  Order 532  mV = 266  mF = 133   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * T * R^-57 * S ]

R66.22 :  Type {134,134}_2  Order 536  mV = 134  mF = 134  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^114 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ]

R66.23 :  Type {264,264}_2  Order 528  mV = 264  mF = 264  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * T * R^-57 ]


R67.1 :  Type {4,48}_16  Order 1152  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-6 * R^-1 * S * R * S^-1 * R^2 * S^-8 ]

R67.2 :  Type {4,48}_16  Order 1152  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R * S^-4 * R^-1 * S^4 * R^-1 * S ]

R67.3 :  Type {4,136}_136  Order 1088  mV = 68  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^136 ]

R67.4 :  Type {4,136}_136  Order 1088  mV = 68  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^34 * R * S^-1 * R * S^33 ]

R67.5 :  Type {4,268}_134  Order 1072  mV = 268  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^67 * R^2 * S^67 ]

R67.6 :  Type {6,36}_18  Order 864  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^9 * R^2 * S^2 * R^-1 * S^-1 * R * S^6 ]

R67.7 :  Type {6,69}_138  Order 828  mV = 23  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-69 ]

R67.8 :  Type {6,201}_134  Order 804  mV = 201  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-34 * R^2 * S^-33 ]

R67.9 :  Type {8,10}_6  Order 960  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^10, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1 ]

R67.10 :  Type {8,10}_12  Order 960  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^10, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, 
S^4 * R^3 * S^4 * R^-1 ]

R67.11 :  Type {9,12}_72  Order 864  mV = 2  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R67.12 :  Type {12,42}_56  Order 672  mV = 14  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-5 ]

R67.13 :  Type {16,40}_80  Order 640  mV = 20  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, 
S^10 * R * S^-1 * R * S^9 ]

R67.14 :  Type {16,40}_80  Order 640  mV = 20  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^10 * R^-6 * S^6 * R^-1 * S^-1 * R * S^3 ]

R67.15 :  Type {36,72}_8  Order 576  mV = 36  mF = 18   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 * S ]

R67.16 :  Type {36,72}_8  Order 576  mV = 36  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-1 * S^5 * R^-4 * S^3 * R^-11 * S * R^-5 * S^5 * R^-1 ]

R67.17 :  Type {48,48}_6  Order 576  mV = 24  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^14 * S^-4 * R^5 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R^3 * S^-6 ]

R67.18 :  Type {48,48}_12  Order 576  mV = 24  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, S^-1 * R^3 * S^-1 * R^12 * S^-1 * R^4 * S^-1 * R ]

R67.19 :  Type {48,48}_6  Order 576  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^2 * T * R^-3 * S * R^-7 * S * T * R^2 ]

R67.20 :  Type {48,48}_12  Order 576  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^5 * S * R^-1 * S^-3 ]

R67.21 :  Type {135,270}_2  Order 540  mV = 270  mF = 135   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^117 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R67.22 :  Type {136,136}_4  Order 544  mV = 136  mF = 136  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^38 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^6 * S^-1 ]

R67.23 :  Type {136,136}_2  Order 544  mV = 136  mF = 136  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^119 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R67.24 :  Type {268,268}_2  Order 536  mV = 268  mF = 268  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^115 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ]


R68.1 :  Type {4,138}_276  Order 1104  mV = 69  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^138 ]

R68.2 :  Type {4,272}_272  Order 1088  mV = 272  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^68 * R^2 * S^68 ]

R68.3 :  Type {6,70}_210  Order 840  mV = 35  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^70 ]

R68.4 :  Type {6,204}_68  Order 816  mV = 204  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^34 * R^2 * S^34 ]

R68.5 :  Type {8,92}_184  Order 736  mV = 46  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^23 * R^3 * S^-5 * R^-1 * S^18 ]

R68.6 :  Type {10,36}_180  Order 720  mV = 18  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^36 ]

R68.7 :  Type {10,170}_34  Order 680  mV = 170  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^17 * R * S^-1 * R * S^16 ]

R68.8 :  Type {12,56}_168  Order 672  mV = 28  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^14 * R^5 * S^-3 * R^-1 * S^11 ]

R68.9 :  Type {18,153}_34  Order 612  mV = 153  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-9 * R * S^4 * R^-1 * S^-4 ]

R68.10 :  Type {20,32}_160  Order 640  mV = 16  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R^-9 * S^6 * R^-1 * S^-2 ]

R68.11 :  Type {36,144}_16  Order 576  mV = 144  mF = 18   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-10 * S^6 ]

R68.12 :  Type {70,140}_4  Order 560  mV = 140  mF = 35   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^41 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^7 ]

R68.13 :  Type {137,274}_2  Order 548  mV = 274  mF = 137   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^119 * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R68.14 :  Type {138,138}_2  Order 552  mV = 138  mF = 138  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^121 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R68.15 :  Type {272,272}_2  Order 544  mV = 272  mF = 272  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^118 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]


R69.1 :  Type {3,9}_18  Order 4896  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, (R * S^-3)^4 ]

R69.2 :  Type {3,9}_16  Order 4896  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2 ]

R69.3 :  Type {3,9}_34  Order 4896  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ]

R69.4 :  Type {4,72}_72  Order 1152  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^72 ]

R69.5 :  Type {4,72}_72  Order 1152  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^18 * R * S^-2 * R * S^16 ]

R69.6 :  Type {4,72}_36  Order 1152  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^7 * R * S^-1 * R^-1 * S * R * S^-4 * R * S * R^-1 * S^-1 * R * S^3 ]

R69.7 :  Type {4,72}_18  Order 1152  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ]

R69.8 :  Type {4,72}_72  Order 1152  mV = 18  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^72 ]

R69.9 :  Type {4,72}_36  Order 1152  mV = 18  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^18 * R^2 * S^5 * R^-1 * S^-1 * R * S^12 ]

R69.10 :  Type {4,140}_140  Order 1120  mV = 70  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^140 ]

R69.11 :  Type {4,276}_138  Order 1104  mV = 276  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^69 * R^2 * S^69 ]

R69.12 :  Type {6,20}_20  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-4 * R * S^5, (R * S^-3 * R * S^-2)^2 ]

R69.13 :  Type {6,20}_20  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-4)^2 ]

R69.14 :  Type {6,20}_60  Order 960  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^20 ]

R69.15 :  Type {6,20}_4  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4 ]

R69.16 :  Type {6,20}_8  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3 * R)^2, (R * S^-4)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ]

R69.17 :  Type {8,48}_48  Order 768  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^12 * R * S^-2 * R * S^10 ]

R69.18 :  Type {8,48}_48  Order 768  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^12 * R^3 * S^-6 * R * S^6 ]

R69.19 :  Type {8,48}_48  Order 768  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^48 ]

R69.20 :  Type {8,48}_48  Order 768  mV = 24  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^48 ]

R69.21 :  Type {8,48}_48  Order 768  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 * R^3 * S^-4 * R * S^8 ]

R69.22 :  Type {8,48}_48  Order 768  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R^4 * S^12 ]

R69.23 :  Type {8,48}_48  Order 768  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R^3 * S^-2 * R * S^10 ]

R69.24 :  Type {8,48}_48  Order 768  mV = 24  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R * S^-1 * R * S^11 ]

R69.25 :  Type {8,48}_48  Order 768  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^5 * R * S^-1 * R * S^6 ]

R69.26 :  Type {8,48}_48  Order 768  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ]

R69.27 :  Type {8,184}_46  Order 736  mV = 184  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^23 * R * S^-2 * R * S^21 ]

R69.28 :  Type {8,184}_92  Order 736  mV = 184  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^23 * R^2 * S^23 ]

R69.29 :  Type {12,16}_48  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^-2 * R^-6 * S^-6 ]

R69.30 :  Type {12,16}_48  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, 
S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R69.31 :  Type {12,16}_24  Order 768  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, R^12, S^-2 * R^-6 * S^-6 ]

R69.32 :  Type {12,16}_24  Order 768  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S * R^-1 * S)^3, R^12, S^-2 * R^-6 * S^-6 ]

R69.33 :  Type {12,16}_48  Order 768  mV = 4  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^16 ]

R69.34 :  Type {12,16}_48  Order 768  mV = 4  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
(R * S^-3)^2, R^12, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ]

R69.35 :  Type {12,84}_28  Order 672  mV = 42  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^14 * R * S^-1 * R * S^13 ]

R69.36 :  Type {14,161}_46  Order 644  mV = 161  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-12 * R * S * R^-1 * S^-10 ]

R69.37 :  Type {16,80}_20  Order 640  mV = 40  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^10 * R * S^-1 * R * S^9 ]

R69.38 :  Type {16,80}_40  Order 640  mV = 40  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^10 * R * S^-1 * R * S^9 ]

R69.39 :  Type {16,80}_40  Order 640  mV = 40  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^10 * R * S^-5 * R * S^5 ]

R69.40 :  Type {16,80}_20  Order 640  mV = 40  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^10 * R * S^-5 * R * S^5 ]

R69.41 :  Type {20,40}_8  Order 640  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^2 * S^-1 * R^10 * S^-1 * R^3 * S^-2 * R ]

R69.42 :  Type {20,40}_4  Order 640  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-5 * S * R^-8 * S^2 * R^-1 * S^3 ]

R69.43 :  Type {72,72}_8  Order 576  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^11 * S^-1 * R * S^-1 * R * S^-1 * R^2 ]

R69.44 :  Type {72,72}_8  Order 576  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-14 * S^3 * R^-1 ]

R69.45 :  Type {72,72}_4  Order 576  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R * S^-1 * R^17 * S^-1 * R * S^-2 * R^8 * S^-1 * R^2 * S^-2 ]

R69.46 :  Type {72,72}_4  Order 576  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^55 * R^-1 * S * R^-11 * S^2 ]

R69.47 :  Type {72,72}_4  Order 576  mV = 36  mF = 36  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^36 * R^-7 * S * R^-1 * S * R^-2 * T * R^12 * T * R^-2 * S * R^-1 * S * R^-7 ]

R69.48 :  Type {72,72}_4  Order 576  mV = 36  mF = 36  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-12 * S^2 * R^-13 * S * R^-2 * S * R^-2 ]

R69.49 :  Type {94,141}_6  Order 564  mV = 141  mF = 47   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^16 * S^-1 * R * S^-2 * R * S^-1 * R^10 * S^-1 * R * S^-2 * R * S^-1 * R^6 * S^-1 ]

R69.50 :  Type {139,278}_2  Order 556  mV = 278  mF = 139   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^121 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R69.51 :  Type {140,140}_2  Order 560  mV = 140  mF = 140  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^123 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R69.52 :  Type {276,276}_2  Order 552  mV = 276  mF = 276  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^120 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]


R70.1 :  Type {4,142}_284  Order 1136  mV = 71  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^142 ]

R70.2 :  Type {4,280}_280  Order 1120  mV = 280  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^70 * R^2 * S^70 ]

R70.3 :  Type {5,11}_4  Order 1320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^6, (S^-2 * R * S^-1)^3 ]

R70.4 :  Type {5,11}_10  Order 1320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S * R^-1 * S)^3, (S^-1 * R)^5 ]

R70.5 :  Type {6,72}_72  Order 864  mV = 24  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^72 ]

R70.6 :  Type {6,72}_72  Order 864  mV = 36  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^72 ]

R70.7 :  Type {6,210}_70  Order 840  mV = 210  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^35 * R * S^-1 * R * S^34 ]

R70.8 :  Type {12,30}_60  Order 720  mV = 15  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^4 * R * S^-1 * R * S^5 ]

R70.9 :  Type {12,30}_60  Order 720  mV = 5  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^30 ]

R70.10 :  Type {12,30}_60  Order 720  mV = 15  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^30 ]

R70.11 :  Type {12,168}_56  Order 672  mV = 168  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^14 * R * S^-4 * R * S^10 ]

R70.12 :  Type {16,22}_176  Order 704  mV = 11  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^22 ]

R70.13 :  Type {22,154}_14  Order 616  mV = 154  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, R^17 * S^-1 * R * S^-1 * R^2 ]

R70.14 :  Type {58,145}_10  Order 580  mV = 145  mF = 29   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-4 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^2 * S^-2 ]

R70.15 :  Type {141,282}_2  Order 564  mV = 282  mF = 141   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^123 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R70.16 :  Type {142,142}_2  Order 568  mV = 142  mF = 142  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^125 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R70.17 :  Type {280,280}_2  Order 560  mV = 280  mF = 280  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^122 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]


R71.1 :  Type {4,144}_144  Order 1152  mV = 72  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^144 ]

R71.2 :  Type {4,144}_144  Order 1152  mV = 72  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 * R * S^-1 * R * S^35 ]

R71.3 :  Type {4,284}_142  Order 1136  mV = 284  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^71 * R^2 * S^71 ]

R71.4 :  Type {6,8}_4  Order 1344  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2 * R * S^-1)^2 ]

R71.5 :  Type {6,8}_8  Order 1344  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, 
(R * S^-2)^4 ]

R71.6 :  Type {6,8}_14  Order 1344  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, 
S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ]

R71.7 :  Type {6,8}_16  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R * S^-2 * R^-2 * S * R^-2 * S * R^-1 ]

R71.8 :  Type {6,8}_16  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, 
(R^-2 * S)^3 ]

R71.9 :  Type {6,8}_6  Order 1344  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (R * S^-3 * R)^2, 
S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ]

R71.10 :  Type {6,213}_142  Order 852  mV = 213  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-36 * R * S * R^-1 * S^-34 ]

R71.11 :  Type {8,12}_10  Order 960  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R71.12 :  Type {8,12}_20  Order 960  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R71.13 :  Type {8,96}_96  Order 768  mV = 48  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^24 * R^3 * S^-5 * R^-1 * S^19 ]

R71.14 :  Type {8,96}_96  Order 768  mV = 48  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^24 * R * S^-1 * R * S^23 ]

R71.15 :  Type {9,9}_18  Order 1008  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (R * S^-1 * R * S^-1 * R)^2,
(R * S^-3 * R)^2, S^-9, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3 ]

R71.16 :  Type {20,80}_16  Order 640  mV = 40  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^2 * R^-1 * S * R^-14 * S, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ]

R71.17 :  Type {20,80}_16  Order 640  mV = 40  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, R^2 * S^-1 * R^10 * S^-1 * R^3 * S^-2 * R ]

R71.18 :  Type {143,286}_2  Order 572  mV = 286  mF = 143   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^125 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R71.19 :  Type {144,144}_4  Order 576  mV = 144  mF = 144  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^35 * R^-7 * S * R^-1 * S * R^-2 * T * R^12 * T * R^-2 * S * R^-1 * S * R^-6 * S ]

R71.20 :  Type {144,144}_2  Order 576  mV = 144  mF = 144  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^127 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R71.21 :  Type {284,284}_2  Order 568  mV = 284  mF = 284  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^124 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]


R72.1 :  Type {4,75}_150  Order 1200  mV = 25  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-75 ]

R72.2 :  Type {4,146}_292  Order 1168  mV = 73  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^146 ]

R72.3 :  Type {4,288}_288  Order 1152  mV = 288  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^72 * R^2 * S^72 ]

R72.4 :  Type {6,74}_222  Order 888  mV = 37  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^74 ]

R72.5 :  Type {8,50}_200  Order 800  mV = 25  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^50 ]

R72.6 :  Type {10,38}_190  Order 760  mV = 19  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^38 ]

R72.7 :  Type {10,180}_36  Order 720  mV = 180  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^18 * R * S^-2 * R * S^16 ]

R72.8 :  Type {14,26}_182  Order 728  mV = 13  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^26 ]

R72.9 :  Type {14,168}_24  Order 672  mV = 168  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^12 * R * S^-4 * R * S^8 ]

R72.10 :  Type {18,20}_180  Order 720  mV = 10  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^20 ]

R72.11 :  Type {20,160}_32  Order 640  mV = 160  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^2 * R^-1 * S * R^-14 * S, S^8 * R * S^-2 * R * S^6 ]

R72.12 :  Type {24,28}_168  Order 672  mV = 14  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * R * T * S^2 * T * S^-1 * R^-11 * S^7 ]

R72.13 :  Type {26,156}_12  Order 624  mV = 156  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^21 * S^-1 * R * S^-1 * R^2 ]

R72.14 :  Type {34,153}_18  Order 612  mV = 153  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-8 * S^7 ]

R72.15 :  Type {38,152}_8  Order 608  mV = 152  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^27 * S^-1 * R * S^-1 * R^8 ]

R72.16 :  Type {39,52}_6  Order 624  mV = 13  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-9 * S^4 ]

R72.17 :  Type {50,150}_6  Order 600  mV = 150  mF = 25   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^12 * R^-7 * S * R^-1 * S^2 * R^-1 * S * R^-24 ]

R72.18 :  Type {74,148}_4  Order 592  mV = 148  mF = 37   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^36 * R^-7 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-8 ]

R72.19 :  Type {75,75}_4  Order 600  mV = 25  mF = 25  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^58 * R^-1 * S * R^-11 * S^2 ]

R72.20 :  Type {98,147}_6  Order 588  mV = 147  mF = 49   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^10 * R^-7 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-8 ]

R72.21 :  Type {145,290}_2  Order 580  mV = 290  mF = 145   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^127 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R72.22 :  Type {146,146}_2  Order 584  mV = 146  mF = 146  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^129 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]

R72.23 :  Type {288,288}_2  Order 576  mV = 288  mF = 288  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^126 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]


R73.1 :  Type {3,10}_24  Order 4320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ]

R73.2 :  Type {3,10}_8  Order 4320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4 ]

R73.3 :  Type {3,12}_24  Order 3456  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S * R * S^-5 * R * S^-1 * R * S^6 * R^-1 * S, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-3 * R * S^-2 * R * S^-2 ]

R73.4 :  Type {3,12}_24  Order 3456  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, (S * R^-1 * S)^12 ]

R73.5 :  Type {3,15}_40  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^2, S^-15 ]

R73.6 :  Type {3,24}_48  Order 2304  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, 
(S^2 * R^-1 * S^4 * R^-1 * S)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ]

R73.7 :  Type {3,24}_12  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S * R * S^-5 * R * S^-1 * R * S^6 * R^-1 * S, (S * R^-1 * S)^6, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ]

R73.8 :  Type {3,24}_24  Order 2304  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-4 * R * S^-2 ]

R73.9 :  Type {3,30}_30  Order 2160  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R^-1 * S * R^-1 * S^5 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ]

R73.10 :  Type {3,42}_8  Order 2016  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^6 * R^-1 * S^-7 ]

R73.11 :  Type {4,6}_24  Order 3456  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ]

R73.12 :  Type {4,8}_12  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R73.13 :  Type {4,8}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^8 ]

R73.14 :  Type {4,8}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R73.15 :  Type {4,8}_6  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6 ]

R73.16 :  Type {4,8}_12  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R ]

R73.17 :  Type {4,8}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-2 * S^-1 * R * S^-2 ]

R73.18 :  Type {4,8}_24  Order 2304  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^12 ]

R73.19 :  Type {4,8}_24  Order 2304  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 ]

R73.20 :  Type {4,10}_24  Order 1920  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-1)^6, 
S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 * R, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^-1 ]

R73.21 :  Type {4,12}_6  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^12, S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^4 ]

R73.22 :  Type {4,12}_12  Order 1728  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, 
R^-2 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 ]

R73.23 :  Type {4,12}_12  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ]

R73.24 :  Type {4,12}_12  Order 1728  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, 
S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S ]

R73.25 :  Type {4,12}_12  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, S^12 ]

R73.26 :  Type {4,20}_60  Order 1440  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^20 ]

R73.27 :  Type {4,28}_8  Order 1344  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-4 * R * S^-4 * R * S ]

R73.28 :  Type {4,28}_8  Order 1344  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ]

R73.29 :  Type {4,36}_18  Order 1296  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^9 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^5 ]

R73.30 :  Type {4,40}_40  Order 1280  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^40 ]

R73.31 :  Type {4,40}_40  Order 1280  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
S^-10 * R^-2 * S^-2 * R * S^3 * R^-1 * S^-5 ]

R73.32 :  Type {4,40}_20  Order 1280  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
S^10 * R^2 * S * R^-1 * S^-1 * R * S^8 ]

R73.33 :  Type {4,40}_40  Order 1280  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^-10 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-5 ]

R73.34 :  Type {4,76}_76  Order 1216  mV = 19  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^76 ]

R73.35 :  Type {4,148}_148  Order 1184  mV = 74  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^148 ]

R73.36 :  Type {4,292}_146  Order 1168  mV = 292  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^73 * R^2 * S^73 ]

R73.37 :  Type {5,10}_10  Order 1440  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1)^4, (R * S^-4)^2 ]

R73.38 :  Type {5,10}_10  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2,
S^10, (R * S^-4 * R)^2 ]

R73.39 :  Type {6,6}_24  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-2 * R^2 * S^2 * T * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * T * S^-1 * R * S^-1 ]

R73.40 :  Type {6,6}_6  Order 1728  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, 
(R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R73.41 :  Type {6,6}_24  Order 1728  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R73.42 :  Type {6,9}_4  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-9, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ]

R73.43 :  Type {6,9}_12  Order 1296  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-9,
S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ]

R73.44 :  Type {6,9}_36  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-2 ]

R73.45 :  Type {6,9}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, R^2 * S^2 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S ]

R73.46 :  Type {6,9}_36  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-2 ]

R73.47 :  Type {6,9}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, 
R^-1 * S^2 * R^-2 * S^2 * R^-1 * S, R^2 * S * R^-1 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ]

R73.48 :  Type {6,12}_24  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, R^-1 * S^-3 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^2 ]

R73.49 :  Type {6,12}_24  Order 1152  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^12,
R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^3 ]

R73.50 :  Type {6,12}_12  Order 1152  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ]

R73.51 :  Type {6,12}_24  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R73.52 :  Type {6,12}_6  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3 ]

R73.53 :  Type {6,12}_24  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-3 * R * S^4, 
S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ]

R73.54 :  Type {6,12}_6  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R^-2 * S)^3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-2 * R^-3 * S^2 * R^-2 * S^-1 ]

R73.55 :  Type {6,12}_6  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^2 * S^-2 * R^-3 * S^-3 * R * S^2 ]

R73.56 :  Type {6,12}_24  Order 1152  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, 
S^12 ]

R73.57 :  Type {6,12}_6  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R73.58 :  Type {6,12}_24  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^12 ]

R73.59 :  Type {6,21}_84  Order 1008  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-21 ]

R73.60 :  Type {6,27}_54  Order 972  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-27 ]

R73.61 :  Type {6,27}_54  Order 972  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^5 ]

R73.62 :  Type {6,27}_54  Order 972  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-5 ]

R73.63 :  Type {6,30}_40  Order 960  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, 
R^-1 * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-2 ]

R73.64 :  Type {6,57}_76  Order 912  mV = 19  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-10 * R * S * R^-1 * S^-4 * R * S * R^-1 * S^-3 ]

R73.65 :  Type {6,75}_150  Order 900  mV = 25  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-75 ]

R73.66 :  Type {6,219}_146  Order 876  mV = 219  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-37 * R^2 * S^-36 ]

R73.67 :  Type {8,8}_6  Order 1152  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, R^-2 * S^2 * R^3 * S^2 * R^-2 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R73.68 :  Type {8,8}_6  Order 1152  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2, (R * S^-1)^6 ]

R73.69 :  Type {8,8}_12  Order 1152  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S^-2 * R^-1 * T * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S ]

R73.70 :  Type {8,8}_24  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1 ]

R73.71 :  Type {8,8}_24  Order 1152  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S^-2 * R * S^2 ]

R73.72 :  Type {8,8}_24  Order 1152  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, (R * S^-1)^6 ]

R73.73 :  Type {8,8}_24  Order 1152  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S ]

R73.74 :  Type {8,24}_12  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R73.75 :  Type {8,24}_12  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R73.76 :  Type {8,24}_6  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R73.77 :  Type {8,24}_6  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ]

R73.78 :  Type {10,10}_6  Order 960  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^10, R^2 * S^-1 * R^4 * S * R^-2 * S^2 ]

R73.79 :  Type {12,12}_12  Order 864  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^2, 
R^12, (R * S^-1 * R^4)^2 ]

R73.80 :  Type {12,12}_12  Order 864  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, S^12 ]

R73.81 :  Type {12,12}_4  Order 864  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
(R * S^-3)^2, R^12, (R * S^-1 * R^4)^2 ]

R73.82 :  Type {12,12}_4  Order 864  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, (R * S^-1 * R^4)^2 ]

R73.83 :  Type {12,12}_12  Order 864  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, (R * S^-1)^6 ]

R73.84 :  Type {12,12}_12  Order 864  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1, (R * S^-1)^6 ]

R73.85 :  Type {12,12}_12  Order 864  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^12 ]

R73.86 :  Type {12,12}_12  Order 864  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^12 ]

R73.87 :  Type {12,12}_12  Order 864  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^12 ]

R73.88 :  Type {12,12}_12  Order 864  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^12, R * S^-1 * R^5 * S^-1 * R * S^3 ]

R73.89 :  Type {12,24}_8  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ]

R73.90 :  Type {12,24}_4  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^2 * S^-1 * R^2 * S^4, R^12 ]

R73.91 :  Type {12,24}_4  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^2 * R^-1 * S, R^12 ]

R73.92 :  Type {12,24}_8  Order 768  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R ]

R73.93 :  Type {12,24}_8  Order 768  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, 
S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2 ]

R73.94 :  Type {12,24}_8  Order 768  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S * R * S^-2 * R^2 * S^3 * R^-1 ]

R73.95 :  Type {12,24}_8  Order 768  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^2 * R * S^-1 * R^-4 * S^-1 * R * S^4 ]

R73.96 :  Type {12,24}_16  Order 768  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^-3 * S^4, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 ]

R73.97 :  Type {12,24}_16  Order 768  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-2 * R^-3 * S^-4, R^12, S^2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 ]

R73.98 :  Type {12,24}_8  Order 768  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, 
R^12 ]

R73.99 :  Type {12,24}_4  Order 768  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, R^12, S^-3 * R^4 * S^-5 ]

R73.100 :  Type {12,24}_8  Order 768  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^12 ]

R73.101 :  Type {12,24}_8  Order 768  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^12, S^-2 * R^5 * S^-3 * R * S^-1, 
S * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S ]

R73.102 :  Type {12,60}_30  Order 720  mV = 20  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^15 * R * S^-2 * R * S^13 ]

R73.103 :  Type {12,60}_30  Order 720  mV = 30  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^15 * R^6 * S^15 ]

R73.104 :  Type {12,60}_30  Order 720  mV = 30  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^-1 * S^3 * R^4 * S^3 * R^-1 * S^-2 ]

R73.105 :  Type {15,30}_6  Order 720  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-3 * S^-2 * R^2, (S * R^-1 * S)^3 ]

R73.106 :  Type {15,30}_12  Order 720  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-15 ]

R73.107 :  Type {20,20}_6  Order 720  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^2 * R^-1 * S^4 * R^-7 * S * R^-1 * S^3 * R^-1 ]

R73.108 :  Type {36,36}_6  Order 648  mV = 9  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R * S^-2 * R^3 * S * R^-1 * S^-2 ]

R73.109 :  Type {36,36}_6  Order 648  mV = 9  mF = 9  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-2 * S^5 * R^-6 * S^2 * R^-1 * S^2 ]

R73.110 :  Type {39,78}_4  Order 624  mV = 26  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^34 * S^-1 * R^2 * S^-1 * R ]

R73.111 :  Type {40,40}_8  Order 640  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R^10 * S^-1 * R^3 * S^-1 * R^2 ]

R73.112 :  Type {40,40}_8  Order 640  mV = 20  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-2 * S * R^-1 * S^5 * R^-5 * S * R^-12 * S * R^-5 * S^6 * R^-1 ]

R73.113 :  Type {40,40}_4  Order 640  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-2 * S * R^-15 * S^2 * R^-13 * S * R^-2 * S * R^-1 * S * R^-1 ]

R73.114 :  Type {40,40}_8  Order 640  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-2 * R * S^-1 * R^7 * S^-4 * R^3 * S^-1 ]

R73.115 :  Type {40,40}_8  Order 640  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R * S^-3 * R^2 * S^-1 * R^6 * S^-1 * R^3 * S^-1 * R^2 ]

R73.116 :  Type {51,102}_6  Order 612  mV = 51  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R * S^-1 * R^14 * S^-5 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-6 ]

R73.117 :  Type {76,76}_4  Order 608  mV = 38  mF = 38  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^39 * R^-7 * S * R^-1 * S * R^-26 * S ]

R73.118 :  Type {147,294}_2  Order 588  mV = 294  mF = 147   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^61 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * T * R^-67 ]

R73.119 :  Type {148,148}_2  Order 592  mV = 148  mF = 148  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^130 * S^-2 * R^2 * T * S * R^-9 * T * R^3 * S^-1 ]

R73.120 :  Type {292,292}_2  Order 584  mV = 292  mF = 292  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^128 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ]


R74.1 :  Type {4,150}_300  Order 1200  mV = 75  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^150 ]

R74.2 :  Type {4,296}_296  Order 1184  mV = 296  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^74 * R^2 * S^74 ]

R74.3 :  Type {6,76}_228  Order 912  mV = 38  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^76 ]

R74.4 :  Type {6,222}_74  Order 888  mV = 222  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^37 * R^2 * S^37 ]

R74.5 :  Type {8,27}_108  Order 864  mV = 9  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-27 ]

R74.6 :  Type {8,100}_200  Order 800  mV = 50  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^25 * R^3 * S^-5 * R^-1 * S^20 ]

R74.7 :  Type {10,185}_74  Order 740  mV = 185  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-19 * R * S * R^-1 * S^-17 ]

R74.8 :  Type {16,44}_176  Order 704  mV = 22  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^11 * R^-6 * S^2 * T * S^-2 * T * S^2 * R^-1 * S^-1 * R * S^4 ]

R74.9 :  Type {21,56}_12  Order 672  mV = 14  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-3 * R * S^4, S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R ]

R74.10 :  Type {24,42}_56  Order 672  mV = 21  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-3 * R^-1 * S^4 * R * S^-7 ]

R74.11 :  Type {52,78}_12  Order 624  mV = 39  mF = 26   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^4 * R^-20 * S^2 ]

R74.12 :  Type {76,152}_8  Order 608  mV = 152  mF = 38   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^3 * R^-5 * S * R^-1 * S * R^-26 * S ]

R74.13 :  Type {149,298}_2  Order 596  mV = 298  mF = 149   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^64 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * R * S^-1 * T * R^-65 * S ]

R74.14 :  Type {150,150}_2  Order 600  mV = 150  mF = 150  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^66 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-68 ]

R74.15 :  Type {296,296}_2  Order 592  mV = 296  mF = 296  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^130 * S^-2 * R^2 * T * S * R^-9 * T * R^4 ]


R75.1 :  Type {4,78}_78  Order 1248  mV = 26  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^78 ]

R75.2 :  Type {4,152}_152  Order 1216  mV = 76  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^152 ]

R75.3 :  Type {4,152}_152  Order 1216  mV = 76  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^38 * R * S^-1 * R * S^37 ]

R75.4 :  Type {4,300}_150  Order 1200  mV = 300  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^75 * R^2 * S^75 ]

R75.5 :  Type {6,40}_30  Order 960  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^6 ]

R75.6 :  Type {6,40}_60  Order 960  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-6 ]

R75.7 :  Type {8,15}_30  Order 960  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-15 ]

R75.8 :  Type {8,52}_104  Order 832  mV = 26  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^52 ]

R75.9 :  Type {8,52}_104  Order 832  mV = 13  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^52 ]

R75.10 :  Type {8,200}_100  Order 800  mV = 200  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^25 * R * S^-2 * R * S^23 ]

R75.11 :  Type {8,200}_50  Order 800  mV = 200  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^25 * R^2 * S^25 ]

R75.12 :  Type {12,32}_96  Order 768  mV = 16  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^32 ]

R75.13 :  Type {12,32}_96  Order 768  mV = 16  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^8 * R * S^-1 * R * S^7 ]

R75.14 :  Type {14,175}_50  Order 700  mV = 175  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-13 * R * S^2 * R^-1 * S^-10 ]

R75.15 :  Type {21,84}_8  Order 672  mV = 28  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^21 ]

R75.16 :  Type {22,165}_30  Order 660  mV = 165  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^17 * S^-1 * R * S^-1 * R^2, S^-8 * R * S^2 * R^-1 * S^-5 ]

R75.17 :  Type {24,56}_42  Order 672  mV = 28  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^-7 * R^-6 * S^-7 ]

R75.18 :  Type {24,56}_84  Order 672  mV = 28  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^6 * R * S^-1 * R^-4 * S^-1 * R * S^6 ]

R75.19 :  Type {28,42}_6  Order 672  mV = 14  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^9 * S^-2 * R * S^-2 ]

R75.20 :  Type {32,160}_20  Order 640  mV = 160  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-6 * S^7 ]

R75.21 :  Type {32,160}_10  Order 640  mV = 160  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S * R^-3 * S * R^-1 * S * R^-23 * S ]

R75.22 :  Type {40,80}_16  Order 640  mV = 40  mF = 20   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, S^-1 * R * S^-1 * R^10 * S^-1 * R^3 * S^-1 * R^2 ]

R75.23 :  Type {40,80}_16  Order 640  mV = 40  mF = 20   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-1 * S * R^-9 * S^6 ]

R75.24 :  Type {52,156}_6  Order 624  mV = 156  mF = 26   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^13 * R^-1 * S^2 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-23 * S ]

R75.25 :  Type {62,155}_10  Order 620  mV = 155  mF = 31   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^3 * R^-1 * S * R^-1 * S * R^-22 * S^2 ]

R75.26 :  Type {78,78}_4  Order 624  mV = 26  mF = 26  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^61 * R^-1 * S * R^-11 * S^2 ]

R75.27 :  Type {151,302}_2  Order 604  mV = 302  mF = 151   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^134 * T * S^-1 * R * S^-1 * T * R^-10 * T * R^3 * T ]

R75.28 :  Type {152,152}_4  Order 608  mV = 152  mF = 152  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^38 * R^-7 * S * R^-1 * S * R^-27 ]

R75.29 :  Type {152,152}_2  Order 608  mV = 152  mF = 152  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-66 * R ]

R75.30 :  Type {300,300}_2  Order 600  mV = 300  mF = 300  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^66 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-67 * R ]


R76.1 :  Type {3,12}_30  Order 3600  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ]

R76.2 :  Type {3,15}_20  Order 3000  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-15 ]

R76.3 :  Type {3,16}_10  Order 2880  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^-1 * R^-1 * S^6 * R^2 * S^6 * R^-1 * S^-1, S^3 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S ]

R76.4 :  Type {4,10}_20  Order 2000  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^10 ]

R76.5 :  Type {4,10}_20  Order 2000  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ]

R76.6 :  Type {4,154}_308  Order 1232  mV = 77  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^154 ]

R76.7 :  Type {4,304}_304  Order 1216  mV = 304  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^76 * R^2 * S^76 ]

R76.8 :  Type {5,20}_6  Order 1200  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2,
S * R * S^-3 * R * S^4 ]

R76.9 :  Type {6,6}_30  Order 1800  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^2 ]

R76.10 :  Type {6,6}_30  Order 1800  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^6, 
S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^-2 ]

R76.11 :  Type {6,12}_20  Order 1200  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^12, R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^2 ]

R76.12 :  Type {6,12}_20  Order 1200  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 ]

R76.13 :  Type {6,28}_28  Order 1008  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^28 ]

R76.14 :  Type {6,78}_78  Order 936  mV = 39  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^13 * R * S^-3 * R * S^10 ]

R76.15 :  Type {6,78}_78  Order 936  mV = 26  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^78 ]

R76.16 :  Type {6,78}_78  Order 936  mV = 39  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^78 ]

R76.17 :  Type {6,228}_76  Order 912  mV = 228  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^38 * R * S^-1 * R * S^37 ]

R76.18 :  Type {9,18}_10  Order 900  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 ]

R76.19 :  Type {9,24}_36  Order 864  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R * S^-3 * R * S^4 ]

R76.20 :  Type {10,10}_10  Order 1000  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^10, S^10 ]

R76.21 :  Type {10,10}_10  Order 1000  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ]

R76.22 :  Type {10,10}_10  Order 1000  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
R^10, S^10 ]

R76.23 :  Type {10,40}_40  Order 800  mV = 8  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^40 ]

R76.24 :  Type {10,40}_40  Order 800  mV = 20  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^40 ]

R76.25 :  Type {10,40}_40  Order 800  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^10, S * R * S^-3 * R * S^4 ]

R76.26 :  Type {10,190}_38  Order 760  mV = 190  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^19 * R * S^-3 * R * S^16 ]

R76.27 :  Type {15,60}_6  Order 720  mV = 15  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-15 ]

R76.28 :  Type {18,171}_38  Order 684  mV = 171  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-10 * R * S^5 * R^-1 * S^-4 ]

R76.29 :  Type {20,30}_4  Order 720  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S^-2 * R^4 * S^-4 ]

R76.30 :  Type {24,84}_56  Order 672  mV = 42  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-7 * R^4 * S^-7 ]

R76.31 :  Type {54,54}_6  Order 648  mV = 18  mF = 27   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^14 * R^-8 * S * R^-1 * S^2 * R^-1 * S * R^-23 * S ]

R76.32 :  Type {78,156}_4  Order 624  mV = 156  mF = 39   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^40 * R^-1 * S * R^-6 * S * R^-1 * S * R^-26 * S ]

R76.33 :  Type {153,306}_2  Order 612  mV = 306  mF = 153   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^66 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-10 * T * R * S^-1 * T * R^-67 * S ]

R76.34 :  Type {154,154}_2  Order 616  mV = 154  mF = 154  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * S * R^-1 * T * R^10 * T * S * R^-1 * S * T * S^-2 * R * S^-67 ]

R76.35 :  Type {304,304}_2  Order 608  mV = 304  mF = 304  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-67 ]


R77.1 :  Type {4,42}_84  Order 1344  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^42 ]

R77.2 :  Type {4,80}_80  Order 1280  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^80 ]

R77.3 :  Type {4,80}_80  Order 1280  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^20 * R^2 * S^5 * R^-1 * S^-1 * R * S^14 ]

R77.4 :  Type {4,156}_156  Order 1248  mV = 78  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^156 ]

R77.5 :  Type {4,308}_154  Order 1232  mV = 308  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^77 * R^2 * S^77 ]

R77.6 :  Type {6,60}_20  Order 960  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^10 * R * S^-1 * R^2 * S^-1 * R * S^8 ]

R77.7 :  Type {6,60}_40  Order 960  mV = 20  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, 
S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ]

R77.8 :  Type {6,231}_154  Order 924  mV = 231  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-39 * R * S * R^-1 * S^-37 ]

R77.9 :  Type {8,9}_36  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-9, R^2 * S^-1 * R * S^-1 * R^-4 * S * R^-2 * S^-1 * R ]

R77.10 :  Type {8,28}_56  Order 896  mV = 7  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^28 ]

R77.11 :  Type {8,28}_28  Order 896  mV = 7  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^28 ]

R77.12 :  Type {8,104}_52  Order 832  mV = 52  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^26 * R^3 * S^-5 * R^-1 * S^21 ]

R77.13 :  Type {8,104}_52  Order 832  mV = 52  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^26 * R * S^-1 * R * S^25 ]

R77.14 :  Type {10,12}_20  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^10, (R * S^-1 * R^3)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ]

R77.15 :  Type {10,12}_20  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ]

R77.16 :  Type {10,12}_8  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-4 * R^2 * S * R^-1 * S^-1 * R, S * R * S^-1 * R^4 * S * R^-3 * S ]

R77.17 :  Type {10,12}_4  Order 960  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
(R * S^-1)^4, R^10, (R * S^-2 * R^2)^2 ]

R77.18 :  Type {12,48}_16  Order 768  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ]

R77.19 :  Type {12,48}_16  Order 768  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S^2 * R * S^-1 * R^2 * S^-5 ]

R77.20 :  Type {12,48}_16  Order 768  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^8 * R^4 * S^8 ]

R77.21 :  Type {12,48}_16  Order 768  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ]

R77.22 :  Type {16,24}_48  Order 768  mV = 12  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^24 ]

R77.23 :  Type {16,24}_48  Order 768  mV = 6  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, 
S^24 ]

R77.24 :  Type {16,24}_48  Order 768  mV = 3  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^24 ]

R77.25 :  Type {16,24}_48  Order 768  mV = 3  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^3 * R^-9 * S^3, S^24 ]

R77.26 :  Type {16,24}_48  Order 768  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
(R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^6 * R * S^-1 * R^2 * S^-1 * R * S^4 ]

R77.27 :  Type {16,24}_48  Order 768  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-3 * S^6 * R^-4 * S^2 * R^-1 * S^-4 ]

R77.28 :  Type {16,24}_48  Order 768  mV = 6  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-3 * S^6 * R^-5 * S^-6 ]

R77.29 :  Type {16,24}_48  Order 768  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^5 * R * S^-1 * R * S^6, R^16 ]

R77.30 :  Type {16,176}_22  Order 704  mV = 176  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^11 * R * S^-2 * R * S^9 ]

R77.31 :  Type {16,176}_44  Order 704  mV = 176  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^11 * R * S^-6 * R * S^5 ]

R77.32 :  Type {18,45}_20  Order 720  mV = 15  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^-2 * S^4, S * R^5 * S^2 * R^-1 * S ]

R77.33 :  Type {20,36}_90  Order 720  mV = 18  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^7 * S^-2 * T * S^2 * R^-1 * T * R * S^-3 * R^-1 * S^2 ]

R77.34 :  Type {24,168}_14  Order 672  mV = 168  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, R^19 * S^-1 * R * S^-1 * R^2 ]

R77.35 :  Type {24,168}_28  Order 672  mV = 168  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^6 * R * S^-1 * R^-1 * S^7 ]

R77.36 :  Type {28,84}_12  Order 672  mV = 42  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-21 * S ]

R77.37 :  Type {30,165}_22  Order 660  mV = 165  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-2 * S^6 * R^-1 ]

R77.38 :  Type {42,42}_4  Order 672  mV = 14  mF = 14  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^37 * S^-1 * R^2 * S^-1 * R ]

R77.39 :  Type {46,161}_14  Order 644  mV = 161  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^-5 * R^13 * S^-1 * R * S^-3 ]

R77.40 :  Type {80,80}_4  Order 640  mV = 40  mF = 40  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^41 * R^-8 * S * R^-1 * S * R^-26 * S ]

R77.41 :  Type {80,80}_8  Order 640  mV = 40  mF = 40   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^4 * R^-6 * S * R^-1 * S * R^-27 ]

R77.42 :  Type {80,80}_4  Order 640  mV = 40  mF = 40  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^2 * R^-15 * S^2 * R^-13 * S * R^-2 * S * R^-1 * S^2 ]

R77.43 :  Type {155,310}_2  Order 620  mV = 310  mF = 155   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^67 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-69 ]

R77.44 :  Type {156,156}_2  Order 624  mV = 156  mF = 156  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^70 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-67 * R ]

R77.45 :  Type {308,308}_2  Order 616  mV = 308  mF = 308  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * S * R^-1 * T * R^10 * T * S * R^-1 * S * T * S^-2 * R * S^-66 * R ]


R78.1 :  Type {3,28}_6  Order 2352  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^28 ]

R78.2 :  Type {4,81}_162  Order 1296  mV = 27  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-81 ]

R78.3 :  Type {4,158}_316  Order 1264  mV = 79  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^158 ]

R78.4 :  Type {4,312}_312  Order 1248  mV = 312  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^78 * R^2 * S^78 ]

R78.5 :  Type {6,14}_6  Order 1176  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, 
S^14 ]

R78.6 :  Type {6,14}_6  Order 1176  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^14 ]

R78.7 :  Type {6,80}_240  Order 960  mV = 40  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^80 ]

R78.8 :  Type {8,54}_216  Order 864  mV = 27  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^54 ]

R78.9 :  Type {8,54}_108  Order 864  mV = 18  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-14 * R^4 * S^-13 ]

R78.10 :  Type {10,195}_78  Order 780  mV = 195  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-20 * R * S^2 * R^-1 * S^-17 ]

R78.11 :  Type {12,64}_192  Order 768  mV = 32  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^16 * R^6 * S^16 ]

R78.12 :  Type {14,28}_28  Order 784  mV = 14  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^28 ]

R78.13 :  Type {14,28}_28  Order 784  mV = 14  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^14 ]

R78.14 :  Type {14,28}_28  Order 784  mV = 4  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^28 ]

R78.15 :  Type {14,182}_26  Order 728  mV = 182  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^13 * R * S^-5 * R * S^8 ]

R78.16 :  Type {20,45}_18  Order 720  mV = 15  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-2 * R * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^3 ]

R78.17 :  Type {28,168}_24  Order 672  mV = 168  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^2 * S^-6 ]

R78.18 :  Type {42,56}_12  Order 672  mV = 14  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-3 * S^3 ]

R78.19 :  Type {42,56}_24  Order 672  mV = 28  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-7 * S^-1 * R^4, 
R^9 * S^-1 * R^3 * S^-1 ]

R78.20 :  Type {81,81}_4  Order 648  mV = 27  mF = 27  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^64 * R^-1 * S * R^-11 * S^2 ]

R78.21 :  Type {106,159}_6  Order 636  mV = 159  mF = 53   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^15 * R^-8 * S * R^-1 * S^2 * R^-1 * S * R^-24 ]

R78.22 :  Type {157,314}_2  Order 628  mV = 314  mF = 157   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^68 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-69 * S ]

R78.23 :  Type {158,158}_2  Order 632  mV = 158  mF = 158  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-69 ]

R78.24 :  Type {312,312}_2  Order 624  mV = 312  mF = 312  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^70 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-68 ]


R79.1 :  Type {4,30}_6  Order 1440  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R79.2 :  Type {4,160}_160  Order 1280  mV = 80  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^160 ]

R79.3 :  Type {4,160}_160  Order 1280  mV = 80  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^40 * R * S^-1 * R * S^39 ]

R79.4 :  Type {4,316}_158  Order 1264  mV = 316  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^79 * R^2 * S^79 ]

R79.5 :  Type {6,81}_162  Order 972  mV = 27  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-81 ]

R79.6 :  Type {6,237}_158  Order 948  mV = 237  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-40 * R^2 * S^-39 ]

R79.7 :  Type {7,8}_16  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-3)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R79.8 :  Type {8,20}_6  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^4 * R^3 * S^4 * R^-1 ]

R79.9 :  Type {8,20}_12  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2 ]

R79.10 :  Type {9,36}_24  Order 864  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ]

R79.11 :  Type {12,18}_72  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^4 * R^6 * S^5 ]

R79.12 :  Type {12,18}_18  Order 864  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^5 * S * R^-3, 
S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ]

R79.13 :  Type {12,18}_18  Order 864  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
S^-1 * R^5 * S^-2 * R * S^-1, S^18 ]

R79.14 :  Type {12,96}_32  Order 768  mV = 48  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^8 * R * S^-1 * R * S^7 ]

R79.15 :  Type {12,96}_32  Order 768  mV = 48  mF = 6   
Defining relations for automorphism group:

[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^16 * R * S^-3 * R * S^13 ]

R79.16 :  Type {30,30}_6  Order 720  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^5 * S^4 ]

R79.17 :  Type {42,84}_8  Order 672  mV = 28  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S^-5 * R^15 * S^-1 ]

R79.18 :  Type {159,318}_2  Order 636  mV = 318  mF = 159   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^69 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-71 ]

R79.19 :  Type {160,160}_4  Order 640  mV = 160  mF = 160  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^42 * R^-8 * S * R^-1 * S * R^-27 ]

R79.20 :  Type {160,160}_2  Order 640  mV = 160  mF = 160  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^140 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-1 * R^2 * T ]

R79.21 :  Type {316,316}_2  Order 632  mV = 316  mF = 316  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-68 * R ]


R80.1 :  Type {4,162}_324  Order 1296  mV = 81  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^162 ]

R80.2 :  Type {4,320}_320  Order 1280  mV = 320  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^80 * R^2 * S^80 ]

R80.3 :  Type {6,82}_246  Order 984  mV = 41  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^82 ]

R80.4 :  Type {6,240}_80  Order 960  mV = 240  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^40 * R^2 * S^40 ]

R80.5 :  Type {8,108}_216  Order 864  mV = 54  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^27 * R^3 * S^-5 * R^-1 * S^22 ]

R80.6 :  Type {10,42}_210  Order 840  mV = 21  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^42 ]

R80.7 :  Type {12,34}_204  Order 816  mV = 17  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^34 ]

R80.8 :  Type {12,192}_64  Order 768  mV = 192  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^16 * R^2 * S^16 ]

R80.9 :  Type {18,22}_198  Order 792  mV = 11  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^22 ]

R80.10 :  Type {18,180}_20  Order 720  mV = 180  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^13 * S^-2 * R * S^-1, S^10 * R^2 * S^10 ]

R80.11 :  Type {20,90}_36  Order 720  mV = 45  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^15 * S^-2 * R * S^-1, S^9 * R * S^-3 * R * S^6 ]

R80.12 :  Type {22,176}_16  Order 704  mV = 176  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^22, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ]

R80.13 :  Type {34,170}_10  Order 680  mV = 170  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^25 * S^-1 * R * S^-1 * R^6 ]

R80.14 :  Type {42,168}_8  Order 672  mV = 168  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^30 * S^-1 * R * S^-1 * R^9 ]

R80.15 :  Type {56,84}_24  Order 672  mV = 42  mF = 28   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R * S^-1 * R^6 * S^-5 * R ]

R80.16 :  Type {66,165}_10  Order 660  mV = 165  mF = 33   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-3 * R^21 * S^-1 * R * S^-1 * R^4 * S^-2 ]

R80.17 :  Type {82,164}_4  Order 656  mV = 164  mF = 41   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^44 * R^-8 * S * R^-1 * S * R^-27 ]

R80.18 :  Type {161,322}_2  Order 644  mV = 322  mF = 161   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^72 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-69 * S ]

R80.19 :  Type {162,162}_2  Order 648  mV = 162  mF = 162  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^3 * S^-73 ]

R80.20 :  Type {320,320}_2  Order 640  mV = 320  mF = 320  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^141 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-1 * R^2 * T ]


R81.1 :  Type {3,16}_24  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S^16 ]

R81.2 :  Type {3,16}_12  Order 3072  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^6 * R^2 * S^6 * R^-1 * S^-1, (S * R^-1 * S)^6, S * R * S^-2 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 * R * S ]

R81.3 :  Type {3,16}_24  Order 3072  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^6 * R^2 * S^6 * R^-1 * S^-1 ]

R81.4 :  Type {3,16}_24  Order 3072  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^16 ]

R81.5 :  Type {3,22}_10  Order 2640  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3, S^2 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ]

R81.6 :  Type {4,9}_18  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-9, (R * S^-2)^4, S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 ]

R81.7 :  Type {4,12}_20  Order 1920  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R81.8 :  Type {4,12}_40  Order 1920  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R81.9 :  Type {4,20}_4  Order 1600  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-9 * R * S^-1 * R^2 * S^-1 * R * S^-9 ]

R81.10 :  Type {4,24}_24  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^-4 * R, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * S^3 ]

R81.11 :  Type {4,24}_24  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * S^3 ]

R81.12 :  Type {4,24}_24  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^24 ]

R81.13 :  Type {4,24}_24  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^-2 ]

R81.14 :  Type {4,24}_6  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ]

R81.15 :  Type {4,24}_6  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * R * S^-5 * R * S^6 ]

R81.16 :  Type {4,24}_12  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ]

R81.17 :  Type {4,24}_12  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S ]

R81.18 :  Type {4,24}_24  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^24 ]

R81.19 :  Type {4,24}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 ]

R81.20 :  Type {4,24}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^24 ]

R81.21 :  Type {4,24}_24  Order 1536  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-5 * R * S^6 ]

R81.22 :  Type {4,24}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^2 * R * S^-1 * R^-1 * S^7 * R^-1 * S^-1 * R * S ]

R81.23 :  Type {4,24}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ]

R81.24 :  Type {4,24}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ]

R81.25 :  Type {4,24}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^3 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^2, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^6 * R^-1 * S^-2 ]

R81.26 :  Type {4,24}_24  Order 1536  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^24 ]

R81.27 :  Type {4,24}_24  Order 1536  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^24 ]

R81.28 :  Type {4,24}_24  Order 1536  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
S^24 ]

R81.29 :  Type {4,24}_48  Order 1536  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 * R * S^2 ]

R81.30 :  Type {4,44}_88  Order 1408  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^44 ]

R81.31 :  Type {4,84}_84  Order 1344  mV = 28  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^84 ]

R81.32 :  Type {4,84}_42  Order 1344  mV = 28  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^21 * R * S^-2 * R * S^19 ]

R81.33 :  Type {4,84}_84  Order 1344  mV = 21  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^84 ]

R81.34 :  Type {4,164}_164  Order 1312  mV = 82  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^164 ]

R81.35 :  Type {4,324}_162  Order 1296  mV = 324  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^81 * R^2 * S^81 ]

R81.36 :  Type {5,6}_40  Order 2400  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ]

R81.37 :  Type {5,10}_20  Order 1600  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R81.38 :  Type {5,20}_8  Order 1280  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ]

R81.39 :  Type {5,30}_10  Order 1200  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-2 * R * S^3, 
S^-1 * R^2 * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 * S^-1 * R ]

R81.40 :  Type {5,30}_4  Order 1200  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-2 * S^3 * R^-2 * S^-1 * R * S^-3 ]

R81.41 :  Type {6,8}_6  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1 * R)^4, 
S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3 ]

R81.42 :  Type {6,8}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (R * S^-1 * R)^4, 
S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ]

R81.43 :  Type {6,8}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1 ]

R81.44 :  Type {6,8}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 ]

R81.45 :  Type {6,8}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, S^-2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^-2 ]

R81.46 :  Type {6,8}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ]

R81.47 :  Type {6,8}_24  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ]

R81.48 :  Type {6,8}_6  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, 
(S^-1 * R^2 * S^-1)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ]

R81.49 :  Type {6,8}_6  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ]

R81.50 :  Type {6,8}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ]

R81.51 :  Type {6,8}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^2 * R^2 * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S * R^-1 ]

R81.52 :  Type {6,8}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4 ]

R81.53 :  Type {6,8}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, (R * S^-1 * R)^4 ]

R81.54 :  Type {6,8}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ]

R81.55 :  Type {6,8}_24  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ]

R81.56 :  Type {6,8}_12  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^-2 * R^2 * S^-1 * R^-1 * S * R^-2 * S^-1 * R^2 * S^-1 * R ]

R81.57 :  Type {6,8}_6  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ]

R81.58 :  Type {6,8}_6  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ]

R81.59 :  Type {6,8}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R81.60 :  Type {6,8}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R81.61 :  Type {6,8}_12  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (S * R^-1 * S)^3, 
(R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 ]

R81.62 :  Type {6,11}_12  Order 1320  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-11 ]

R81.63 :  Type {8,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^16 ]

R81.64 :  Type {8,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 ]

R81.65 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^16 ]

R81.66 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^16 ]

R81.67 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 ]

R81.68 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^16 ]

R81.69 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S^16 ]

R81.70 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^16 ]

R81.71 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^2 * R * S^-2 * R^-3 * S^2 * R^-1 * S^-1 * R * S ]

R81.72 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^2 * S^-2 * R^2 * S^-5 ]

R81.73 :  Type {8,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ]

R81.74 :  Type {8,16}_16  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ]

R81.75 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ]

R81.76 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R81.77 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-4 * R^3 * S^3 * R^-1 * S^-1 ]

R81.78 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-4 * R^3 * S^3 * R^-1 * S^-1 ]

R81.79 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R^-1 * S^2 * R^-3 * S^-1 * R * S^2 * R^-1 * S^-1 ]

R81.80 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R81.81 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R81.82 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^4 * S^2 * R^-3, R^-1 * S * R * S^-2 * R^-3 * S * R^-1 * S^-4 ]

R81.83 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R81.84 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ]

R81.85 :  Type {8,16}_16  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ]

R81.86 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R * S^4 ]

R81.87 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ]

R81.88 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R * S^4 ]

R81.89 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1 ]

R81.90 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R81.91 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-4 * R^3 * S^3 * R^-1 * S^-1 ]

R81.92 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S^-4 * R^3 * S^3 * R^-1 * S^-1 ]

R81.93 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R81.94 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R81.95 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R^-1 * S^2 * R^-3 * S^-1 * R * S^2 * R^-1 * S^-1 ]

R81.96 :  Type {8,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ]

R81.97 :  Type {8,16}_8  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ]

R81.98 :  Type {8,16}_8  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ]

R81.99 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S ]

R81.100 :  Type {8,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S ]

R81.101 :  Type {8,16}_8  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^-3 * R * S ]

R81.102 :  Type {8,16}_8  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S ]

R81.103 :  Type {8,16}_8  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ]

R81.104 :  Type {8,16}_8  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^8 ]

R81.105 :  Type {8,16}_4  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^8 ]

R81.106 :  Type {8,16}_8  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-2 * R^2 * S^5 ]

R81.107 :  Type {8,16}_4  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^2 * R^2 * S^-1 * R^-3 * S * R^-1 * S^4 ]

R81.108 :  Type {8,16}_8  Order 1024  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^3 * S * R^-2 * S, S * R^2 * S^-2 * R^2 * S^5 ]

R81.109 :  Type {8,16}_8  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R81.110 :  Type {8,16}_4  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ]

R81.111 :  Type {8,16}_4  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R81.112 :  Type {8,16}_8  Order 1024  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-3)^2 ]

R81.113 :  Type {8,16}_4  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 ]

R81.114 :  Type {8,16}_8  Order 1024  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-3 ]

R81.115 :  Type {8,24}_10  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^4 ]

R81.116 :  Type {8,24}_10  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-1 ]

R81.117 :  Type {8,56}_56  Order 896  mV = 28  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^56 ]

R81.118 :  Type {8,56}_56  Order 896  mV = 14  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^56 ]

R81.119 :  Type {8,56}_28  Order 896  mV = 14  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R^4 * S^14 ]

R81.120 :  Type {8,56}_56  Order 896  mV = 14  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^14 * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 * R * S^7 ]

R81.121 :  Type {8,56}_56  Order 896  mV = 14  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R^3 * S^-2 * R * S^12 ]

R81.122 :  Type {8,56}_56  Order 896  mV = 28  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R * S^-1 * R * S^13 ]

R81.123 :  Type {8,216}_108  Order 864  mV = 216  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^27 * R^2 * S^27 ]

R81.124 :  Type {8,216}_54  Order 864  mV = 216  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^27 * R * S^-2 * R * S^25 ]

R81.125 :  Type {9,9}_4  Order 1152  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^-9, (R^-2 * S)^3, (S * R^-1 * S)^3 ]

R81.126 :  Type {10,15}_12  Order 960  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ]

R81.127 :  Type {12,12}_12  Order 960  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^4 * S^2 * R^-2, R^2 * S^-2 * R^2 * S^4 ]

R81.128 :  Type {12,12}_6  Order 960  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^12, S^-1 * R^6 * S^-5 ]

R81.129 :  Type {14,189}_54  Order 756  mV = 189  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-14 * R * S^3 * R^-1 * S^-10 ]

R81.130 :  Type {16,48}_6  Order 768  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R^-2 * S^2 * R^-5 * S * R^-2 * S^2 ]

R81.131 :  Type {16,48}_12  Order 768  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-3 ]

R81.132 :  Type {16,48}_12  Order 768  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^3 ]

R81.133 :  Type {16,48}_6  Order 768  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^5 * S * R^-3, 
S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-3 ]

R81.134 :  Type {16,48}_24  Order 768  mV = 12  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^3 * R^-9 * S^3, S^12 * R * S^-3 * R * S^9 ]

R81.135 :  Type {16,48}_24  Order 768  mV = 12  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^12 * R * S^-3 * R * S^9 ]

R81.136 :  Type {16,48}_24  Order 768  mV = 24  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^12 * R^-6 * S^6 * R^-1 * S^-1 * R * S^5 ]

R81.137 :  Type {16,48}_24  Order 768  mV = 24  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, 
S^12 * R * S^-1 * R * S^11 ]

R81.138 :  Type {16,48}_12  Order 768  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R^5 * S * R^-3, S^2 * R * S^-4 * R^2 * S^-4 * R * S^2 ]

R81.139 :  Type {16,48}_24  Order 768  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^2 * R * S^-4 * R^2 * S^-4 * R * S^2 ]

R81.140 :  Type {16,48}_24  Order 768  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2 ]

R81.141 :  Type {16,48}_12  Order 768  mV = 12  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2,
R^-1 * S^2 * R^-2 * S * R^-5 * S * R^-2 * S^2 ]

R81.142 :  Type {16,48}_24  Order 768  mV = 24  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^5 * R * S^-1 * R * S^6 ]

R81.143 :  Type {16,48}_24  Order 768  mV = 24  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-5 * R^-1 * S^5 * R^-1 * S^-2,
R^-1 * S^2 * R^-2 * S * R^-5 * S * R^-2 * S^2 ]

R81.144 :  Type {20,20}_20  Order 800  mV = 2  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^13 * S^-3 * R * S^-1, S^20 ]

R81.145 :  Type {20,20}_20  Order 800  mV = 10  mF = 10  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^20 ]

R81.146 :  Type {20,180}_18  Order 720  mV = 180  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^15 * S^-2 * R * S^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ]

R81.147 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R^6 * S^-1 * R * S^-2 * R ]

R81.148 :  Type {24,24}_4  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1 ]

R81.149 :  Type {24,24}_4  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R * S^-1 * R * S^-1 * R^4 * S^-1 * R^9 * S^-2 * R^3 * S^-1 ]

R81.150 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2 ]

R81.151 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^6 * S^-5 ]

R81.152 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^2 * S^-2 * R * S^-1 * R^3 * S^-1 * R^8 * S^-6 ]

R81.153 :  Type {24,24}_8  Order 768  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^8 * S^-1 * R^2 * S^-1 ]

R81.154 :  Type {24,24}_8  Order 768  mV = 8  mF = 8  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-2 * S * R^-2 * S^2 * R^-2 * S * R^-14 ]

R81.155 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-2,
S^-1 * R^6 * S^-5, R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R ]

R81.156 :  Type {24,24}_4  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^6 * S^-5 ]

R81.157 :  Type {24,24}_4  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S^-1 * R^6 * S^-5, R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R ]

R81.158 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^6 * S^-5, 
R^2 * S^-1 * R^4 * S^2 * R^-1 * S^-2 ]

R81.159 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^4, R^2 * S^-1 * R^4 * S^-3 * R * S^-1 ]

R81.160 :  Type {24,24}_4  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^7 * S^-1 * R * S^-1 * R * S^-1, S * R^6 * S^5 ]

R81.161 :  Type {24,24}_4  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-1 * S * R^-1, R^3 * S^-9 * R^9 * S^-3 ]

R81.162 :  Type {24,24}_8  Order 768  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-1 * S^2, 
R^7 * S^-1 * R * S^-1 * R * S^-1 ]

R81.163 :  Type {24,24}_8  Order 768  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-2 * R^5 * S^-1 * R^12 * S^-2 * R * S^-1 ]

R81.164 :  Type {24,24}_8  Order 768  mV = 6  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, 
S^-1 * R^6 * S^-2 * R^2 * S^-1 ]

R81.165 :  Type {24,24}_8  Order 768  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-7 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 ]

R81.166 :  Type {24,24}_4  Order 768  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-3 * S * R^-3 * S * R^-16 ]

R81.167 :  Type {24,24}_4  Order 768  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^6 * S^2 * R^-2 * S, R * S^-1 * R^5 * S^-2 * R * S^-1 * R ]

R81.168 :  Type {24,24}_8  Order 768  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^-1 * R * S^-2 * R ]

R81.169 :  Type {24,24}_8  Order 768  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1 ]

R81.170 :  Type {35,70}_10  Order 700  mV = 35  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, R * S^-5 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-3 * R^2 ]

R81.171 :  Type {38,171}_18  Order 684  mV = 171  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R^-2 * S * R^-8 * S^7 ]

R81.172 :  Type {44,44}_4  Order 704  mV = 11  mF = 11  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-2 * S * R^-19 * S * R^-1 * S^4 * R^-9 * S * R^-2 * S * R^-1 * S^2 ]

R81.173 :  Type {56,168}_12  Order 672  mV = 168  mF = 28   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^-4 * R^17 * S^-1 * R * S^-1 * R^2 * S^-2 ]

R81.174 :  Type {56,168}_6  Order 672  mV = 168  mF = 28   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^41 * S^-1 * R * S^-2 * R * S^-1 * R^9 ]

R81.175 :  Type {84,84}_4  Order 672  mV = 28  mF = 28  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-2 * R^35 * S^-1 * R^2 * S^-2 ]

R81.176 :  Type {84,84}_4  Order 672  mV = 28  mF = 28  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^67 * R^-1 * S * R^-11 * S^2 ]

R81.177 :  Type {84,84}_4  Order 672  mV = 42  mF = 42  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^72 * S^-1 * R * S^-1 * R^9 ]

R81.178 :  Type {110,165}_6  Order 660  mV = 165  mF = 55   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^16 * R^-8 * S * R^-1 * S^2 * R^-1 * S * R^-23 * S ]

R81.179 :  Type {163,326}_2  Order 652  mV = 326  mF = 163   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^72 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-70 ]

R81.180 :  Type {164,164}_2  Order 656  mV = 164  mF = 164  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^73 * T * R^-2 * S * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^4 * S^-70 * R ]

R81.181 :  Type {324,324}_2  Order 648  mV = 324  mF = 324  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^3 * S^-72 * R ]


R82.1 :  Type {3,8}_12  Order 7776  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-2 * R * S ]

R82.2 :  Type {3,12}_18  Order 3888  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1, S^-1 * R * S^-5 * R * S^-2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ]

R82.3 :  Type {3,12}_18  Order 3888  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ]

R82.4 :  Type {3,18}_18  Order 2916  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S * R^-1 * S^3)^3, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ]

R82.5 :  Type {3,18}_18  Order 2916  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S^18 ]

R82.6 :  Type {3,18}_18  Order 2916  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ]

R82.7 :  Type {3,18}_18  Order 2916  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S * R * S^-5 * R * S^-1 * R * S^6 * R^-1 * S, S^18, 
S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-2 ]

R82.8 :  Type {3,24}_36  Order 2592  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ]

R82.9 :  Type {3,24}_36  Order 2592  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S * R * S^-5 * R * S^-1 * R * S^-5 * R * S^2 ]

R82.10 :  Type {4,6}_12  Order 3888  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * R * S^-1 * R ]

R82.11 :  Type {4,6}_12  Order 3888  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, (R * S^-2)^4, R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ]

R82.12 :  Type {4,8}_8  Order 2592  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^3 * R^-1 * S^-1 * R * S^-2 ]

R82.13 :  Type {4,12}_18  Order 1944  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, 
S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (S^-1 * R)^9 ]

R82.14 :  Type {4,12}_18  Order 1944  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^12, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R82.15 :  Type {4,12}_18  Order 1944  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, S^12, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-4 ]

R82.16 :  Type {4,12}_6  Order 1944  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-3 * R * S^-1)^2, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^2 ]

R82.17 :  Type {4,166}_332  Order 1328  mV = 83  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^166 ]

R82.18 :  Type {4,328}_328  Order 1312  mV = 328  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^82 * R^2 * S^82 ]

R82.19 :  Type {5,10}_6  Order 1620  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R82.20 :  Type {6,6}_18  Order 1944  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-1 * R * S^2 ]

R82.21 :  Type {6,6}_6  Order 1944  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (S^-1 * R^2 * S^-1)^3 ]

R82.22 :  Type {6,6}_6  Order 1944  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ]

R82.23 :  Type {6,6}_18  Order 1944  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^3 * S * R^-1 * S^-2 * R^2 ]

R82.24 :  Type {6,6}_18  Order 1944  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ]

R82.25 :  Type {6,6}_18  Order 1944  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R ]

R82.26 :  Type {6,12}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-3 * R * S^4, (R * S^-1 * R)^4 ]

R82.27 :  Type {6,12}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R)^4, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-3 ]

R82.28 :  Type {6,12}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^12 ]

R82.29 :  Type {6,12}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ]

R82.30 :  Type {6,12}_12  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S * R^-1 * S^2 ]

R82.31 :  Type {6,12}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-3 * R * S^4, R^2 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ]

R82.32 :  Type {6,12}_12  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * S^-2 * R^3 * S^-3 * R * S^-1, 
S^12 ]

R82.33 :  Type {6,12}_4  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R ]

R82.34 :  Type {6,12}_12  Order 1296  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^12 ]

R82.35 :  Type {6,12}_36  Order 1296  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ]

R82.36 :  Type {6,12}_12  Order 1296  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^12 ]

R82.37 :  Type {6,12}_12  Order 1296  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^12 ]

R82.38 :  Type {6,12}_12  Order 1296  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12 ]

R82.39 :  Type {6,12}_36  Order 1296  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^12, 
S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S^-1 * R ]

R82.40 :  Type {6,12}_36  Order 1296  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, 
S^12 ]

R82.41 :  Type {6,12}_36  Order 1296  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^12 ]

R82.42 :  Type {6,30}_30  Order 1080  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-2 * R^-1 * S^3 * R^-2 * S^3 * R^-1 * S^-2 ]

R82.43 :  Type {6,30}_30  Order 1080  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^30 ]

R82.44 :  Type {6,30}_30  Order 1080  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^30 ]

R82.45 :  Type {6,30}_30  Order 1080  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^30 ]

R82.46 :  Type {6,84}_84  Order 1008  mV = 42  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^14 * R * S^-1 * R * S^13 ]

R82.47 :  Type {6,84}_84  Order 1008  mV = 42  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^84 ]

R82.48 :  Type {6,84}_84  Order 1008  mV = 28  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^84 ]

R82.49 :  Type {6,246}_82  Order 984  mV = 246  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^41 * R * S^-1 * R * S^40 ]

R82.50 :  Type {8,8}_6  Order 1296  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, (R^3 * S^-1)^3 ]

R82.51 :  Type {9,18}_18  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ]

R82.52 :  Type {9,18}_6  Order 972  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, (S * R^-1 * S)^3, S * R * S^-5 * R * S^6 ]

R82.53 :  Type {9,18}_18  Order 972  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S ]

R82.54 :  Type {9,18}_6  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (S * R^-1 * S)^3, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4 ]

R82.55 :  Type {9,18}_18  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ]

R82.56 :  Type {9,18}_18  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
R^3 * S^-1 * R^3 * S^-5 ]

R82.57 :  Type {9,18}_18  Order 972  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-5 * R * S^6 ]

R82.58 :  Type {9,18}_6  Order 972  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, (S * R^-1 * S)^3, S * R * S^-5 * R * S^6 ]

R82.59 :  Type {9,18}_6  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (S * R^-1 * S)^3, S * R * S^-1 * R^3 * S^2 * R^-2, R^3 * S^-1 * R^3 * S^-5 ]

R82.60 :  Type {9,18}_18  Order 972  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, S * R * S^-5 * R * S^6 ]

R82.61 :  Type {9,18}_18  Order 972  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, R^3 * S^-1 * R^3 * S^-5, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ]

R82.62 :  Type {9,18}_18  Order 972  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^-2 * R^-3 * S^-4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ]

R82.63 :  Type {9,72}_12  Order 864  mV = 18  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S * R * S^-3 * R * S^4 ]

R82.64 :  Type {10,205}_82  Order 820  mV = 205  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-21 * R * S^3 * R^-1 * S^-17 ]

R82.65 :  Type {12,24}_8  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^4 * S^-1 * R * S^2 ]

R82.66 :  Type {12,24}_24  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^-1 * S^4 * R^-5 * S^-6 ]

R82.67 :  Type {12,24}_24  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^2 * R^4 * S^2 * R^-2 ]

R82.68 :  Type {12,24}_8  Order 864  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R82.69 :  Type {12,24}_24  Order 864  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, R * S^-5 * R^-5 * S^7 ]

R82.70 :  Type {12,24}_24  Order 864  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ]

R82.71 :  Type {12,24}_24  Order 864  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^2 * R * S^-1 * R^-1 * S^2 * R^-4 * S^7 ]

R82.72 :  Type {12,24}_24  Order 864  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, 
S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^4 * S * R^-2 * S^-2 ]

R82.73 :  Type {18,63}_42  Order 756  mV = 21  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^-11 * R * S^6 * R^-1 * S^-4 ]

R82.74 :  Type {21,42}_6  Order 756  mV = 7  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R^-10 * S^5 * R^-1 ]

R82.75 :  Type {30,60}_12  Order 720  mV = 30  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, R^2 * S^-1 * R^5 * S^-1 * R^11 * S^-1 * R^5 * S^-1 * R^3 ]

R82.76 :  Type {30,60}_12  Order 720  mV = 20  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^21 * S^-3 * R * S^-3 * R^2 ]

R82.77 :  Type {30,60}_12  Order 720  mV = 30  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S^5 * R * S^-5 * R * S^2 ]

R82.78 :  Type {57,114}_6  Order 684  mV = 57  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^18 * S^-6 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-7 * R ]

R82.79 :  Type {84,168}_8  Order 672  mV = 168  mF = 42   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-3 * R^27 * S^-1 * R * S^-1 * R^8 * S^-1 ]

R82.80 :  Type {165,330}_2  Order 660  mV = 330  mF = 165   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^70 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-74 ]

R82.81 :  Type {166,166}_2  Order 664  mV = 166  mF = 166  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^4 * S^-70 ]

R82.82 :  Type {328,328}_2  Order 656  mV = 328  mF = 328  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^73 * T * R^-2 * S * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^4 * S^-71 ]


R83.1 :  Type {4,168}_168  Order 1344  mV = 84  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^168 ]

R83.2 :  Type {4,168}_168  Order 1344  mV = 84  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^42 * R * S^-1 * R * S^41 ]

R83.3 :  Type {4,332}_166  Order 1328  mV = 332  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^83 * R * S^-6 * R * S^77 ]

R83.4 :  Type {6,44}_66  Order 1056  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^11 * R^2 * S^2 * R^-1 * S^-1 * R * S^8 ]

R83.5 :  Type {6,249}_166  Order 996  mV = 249  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-42 * R * S * R^-1 * S^-40 ]

R83.6 :  Type {8,30}_30  Order 960  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^30 ]

R83.7 :  Type {8,30}_60  Order 960  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^30 ]

R83.8 :  Type {8,112}_112  Order 896  mV = 56  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^28 * R^4 * S^28 ]

R83.9 :  Type {8,112}_112  Order 896  mV = 56  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^28 * R * S^-1 * R * S^27 ]

R83.10 :  Type {12,68}_102  Order 816  mV = 34  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^17 * R^6 * S^17 ]

R83.11 :  Type {24,32}_96  Order 768  mV = 16  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * T * S * R^2 * S * T * S^-3 * R^-9 * S^6 * R^-1 * S^-2 ]

R83.12 :  Type {24,32}_96  Order 768  mV = 16  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^8 * R * S^-1 * R * S^7 ]

R83.13 :  Type {44,88}_8  Order 704  mV = 44  mF = 22   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^44 ]

R83.14 :  Type {44,88}_8  Order 704  mV = 44  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^6 * S^-6 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-8 ]

R83.15 :  Type {167,334}_2  Order 668  mV = 334  mF = 167   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^70 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-76 ]

R83.16 :  Type {168,168}_4  Order 672  mV = 168  mF = 168  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^71 * S^-1 * R * S^-1 * R^8 * S^-1 ]

R83.17 :  Type {168,168}_2  Order 672  mV = 168  mF = 168  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-73 * R ]

R83.18 :  Type {332,332}_2  Order 664  mV = 332  mF = 332  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^4 * S^-69 * R ]


R84.1 :  Type {4,87}_174  Order 1392  mV = 29  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-87 ]

R84.2 :  Type {4,170}_340  Order 1360  mV = 85  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^170 ]

R84.3 :  Type {4,336}_336  Order 1344  mV = 336  mF = 2   

Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^84 * R * S^-6 * R * S^78 ]

R84.4 :  Type {6,86}_258  Order 1032  mV = 43  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^86 ]

R84.5 :  Type {8,58}_232  Order 928  mV = 29  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^58 ]

R84.6 :  Type {10,44}_220  Order 880  mV = 22  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^44 ]

R84.7 :  Type {10,210}_42  Order 840  mV = 210  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^21 * R^2 * S^21 ]

R84.8 :  Type {12,102}_68  Order 816  mV = 51  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^17 * R * S^-1 * R * S^16 ]

R84.9 :  Type {14,30}_210  Order 840  mV = 15  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^30 ]

R84.10 :  Type {16,26}_208  Order 832  mV = 13  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^26 ]

R84.11 :  Type {26,182}_14  Order 728  mV = 182  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^2 * R^-1 * S^3 * R^-19 * S ]

R84.12 :  Type {36,90}_20  Order 720  mV = 45  mF = 18   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^8 * S^-6 ]

R84.13 :  Type {44,176}_16  Order 704  mV = 176  mF = 22   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^14 * S^-2 ]

R84.14 :  Type {50,175}_14  Order 700  mV = 175  mF = 25   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^5 * R^-18 * S^2 ]

R84.15 :  Type {58,174}_6  Order 696  mV = 174  mF = 29   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^43 * S^-1 * R * S^-2 * R * S^-1 * R^9 ]

R84.16 :  Type {86,172}_4  Order 688  mV = 172  mF = 43   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^74 * S^-1 * R * S^-1 * R^9 ]

R84.17 :  Type {87,87}_4  Order 696  mV = 29  mF = 29  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^70 * R^-1 * S * R^-11 * S^2 ]

R84.18 :  Type {169,338}_2  Order 676  mV = 338  mF = 169   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^74 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-2 * T * R^-75 * S ]

R84.19 :  Type {170,170}_2  Order 680  mV = 170  mF = 170  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-73 ]

R84.20 :  Type {336,336}_2  Order 672  mV = 336  mF = 336  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-74 ]


R85.1 :  Type {3,8}_42  Order 8064  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-3 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-1, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-3 * R * S^-2 * R * S^2 ]

R85.2 :  Type {3,8}_24  Order 8064  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-3, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-2 * R * S ]

R85.3 :  Type {3,20}_30  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R^-1 * S * R^-1 * S^-4 * R * S^2, S^20 ]

R85.4 :  Type {3,48}_6  Order 2304  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-11 * R^-1 * S^15 * R^-1 * S^-6 ]

R85.5 :  Type {3,48}_24  Order 2304  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S^-3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ]

R85.6 :  Type {4,6}_24  Order 4032  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2 * R * S^-1 * R * S^-1)^2 ]

R85.7 :  Type {4,8}_28  Order 2688  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1, 
S^-2 * R^-1 * S * R * S^-3 * R^2 * S^3 * R^-1 * S^-1 * R * S^-2 ]

R85.8 :  Type {4,8}_28  Order 2688  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2 ]

R85.9 :  Type {4,8}_14  Order 2688  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1, 
R^-1 * S^2 * R * S^-2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-2 ]

R85.10 :  Type {4,8}_12  Order 2688  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R * S^-4 * R * S^-1 * R * S^3 * R^-1 * S^-2 ]

R85.11 :  Type {4,8}_12  Order 2688  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * R * S^-2 ]

R85.12 :  Type {4,8}_6  Order 2688  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-3 * R^-1 * S^2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 * R ]

R85.13 :  Type {4,25}_50  Order 1600  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-25 ]

R85.14 :  Type {4,28}_4  Order 1568  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 ]

R85.15 :  Type {4,60}_20  Order 1440  mV = 10  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-7 * R^-1 * S^3 * R * S^-3 * R * S^3 * R^-1 * S^-4 ]

R85.16 :  Type {4,88}_88  Order 1408  mV = 22  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^88 ]

R85.17 :  Type {4,88}_44  Order 1408  mV = 22  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^22 * R^2 * S^2 * R^-1 * S^-3 * R * S^17 ]

R85.18 :  Type {4,172}_172  Order 1376  mV = 86  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^172 ]

R85.19 :  Type {4,340}_170  Order 1360  mV = 340  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^85 * R * S^-6 * R * S^79 ]

R85.20 :  Type {6,6}_8  Order 2016  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-2 ]

R85.21 :  Type {6,10}_30  Order 1440  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^10,
(R * S^-3 * R * S^-2)^2 ]

R85.22 :  Type {6,10}_12  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3 * R)^2, S^10 ]

R85.23 :  Type {6,24}_24  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^5 * R^-3 * S^7 ]

R85.24 :  Type {6,24}_12  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^3, S^5 * R^-3 * S^7 ]

R85.25 :  Type {6,24}_12  Order 1152  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S^4, 
S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R85.26 :  Type {6,24}_24  Order 1152  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R85.27 :  Type {6,24}_12  Order 1152  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^-6 * R^-1 * S^7 * R^-1 * S^-3 ]

R85.28 :  Type {6,24}_6  Order 1152  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^-6 * R^-1 * S^7 * R^-1 * S^-3 ]

R85.29 :  Type {6,24}_6  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3, S^-5 * R^2 * S^2 * R^-1 * S^-1 * R ]

R85.30 :  Type {6,24}_12  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-3 * R * S^4 ]

R85.31 :  Type {6,24}_24  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ]

R85.32 :  Type {6,24}_24  Order 1152  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^24 ]

R85.33 :  Type {6,24}_12  Order 1152  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, 
S^-2 * R^-1 * S^8 * R^-1 * S^-2 ]

R85.34 :  Type {6,24}_6  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, 
(R * S^-1)^8 ]

R85.35 :  Type {6,24}_6  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S^2 * R^2 * S^-1 * R^2 * S^5 ]

R85.36 :  Type {6,24}_24  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^24 ]

R85.37 :  Type {6,24}_12  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ]

R85.38 :  Type {6,66}_44  Order 1056  mV = 22  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^11 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^5 ]

R85.39 :  Type {6,87}_174  Order 1044  mV = 29  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-87 ]

R85.40 :  Type {6,255}_170  Order 1020  mV = 255  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-43 * R^2 * S^-42 ]

R85.41 :  Type {8,8}_6  Order 1344  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ]

R85.42 :  Type {8,8}_6  Order 1344  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, (R^3 * S^-1)^3 ]

R85.43 :  Type {8,8}_6  Order 1344  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ]

R85.44 :  Type {8,8}_8  Order 1344  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2 ]

R85.45 :  Type {8,8}_8  Order 1344  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, R * S^-2 * R^4 * S^2 * R^-2 * S^-1, (R * S^-1 * R * S^-1 * R^2)^2 ]

R85.46 :  Type {8,8}_8  Order 1344  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, S * R * S^-2 * R^3 * S * R^-2 * S^2 ]

R85.47 :  Type {8,12}_8  Order 1152  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^12 ]

R85.48 :  Type {8,12}_4  Order 1152  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^12 ]

R85.49 :  Type {10,20}_12  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2 ]

R85.50 :  Type {10,20}_12  Order 960  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R ]

R85.51 :  Type {12,15}_10  Order 960  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S^4, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-3 * R^-3 * S * R^-3 * S^-1 ]

R85.52 :  Type {12,36}_36  Order 864  mV = 18  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^36 ]

R85.53 :  Type {12,36}_36  Order 864  mV = 6  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^36 ]

R85.54 :  Type {12,204}_34  Order 816  mV = 204  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^17 * R * S^-4 * R * S^13 ]

R85.55 :  Type {18,18}_12  Order 864  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^2 * S^-2 * R^7 * S^-1 * R * S^-1 * R * S^-2 * R ]

R85.56 :  Type {22,187}_34  Order 748  mV = 187  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^15 * S^-3 * R * S^-1, S^-9 * R * S^3 * R^-1 * S^-5 ]

R85.57 :  Type {24,48}_16  Order 768  mV = 24  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-2 * R^2 * S^-1 * R^2 * S^-5 ]

R85.58 :  Type {24,48}_16  Order 768  mV = 24  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^8 * R * S^-1 * R * S^7 ]

R85.59 :  Type {24,48}_16  Order 768  mV = 24  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-5 * S * R^9 * S * R^-2, R^-1 * S^2 * R^-13 * S * R^-6 * S ]

R85.60 :  Type {24,48}_16  Order 768  mV = 24  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, S * R^6 * S * R^-2 * S^2, 
S^-1 * R^6 * S^-1 * R^8 * S^-1 * R^4 * S^-1 * R^2 ]

R85.61 :  Type {24,48}_16  Order 768  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-3 * R^4 * S^-5 ]

R85.62 :  Type {24,48}_16  Order 768  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-3 * R^4 * S^-5 ]

R85.63 :  Type {24,48}_16  Order 768  mV = 12  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^17 * S^-3 * R * S^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ]

R85.64 :  Type {24,48}_16  Order 768  mV = 12  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, S^-2 * R^5 * S^-1 * R^12 * S^-2 * R * S^-1 ]

R85.65 :  Type {25,25}_4  Order 800  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^4, R * S^-1 * R * S^-1 * R^7 * S^-1 * R * S^-1 * R^11 ]

R85.66 :  Type {28,28}_14  Order 784  mV = 14  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-8 * S^-1 * R^5, R^-1 * S * R^-2 * S * R^-5 * S * R^-9 * S * R^-5 * S^2 ]

R85.67 :  Type {28,28}_14  Order 784  mV = 14  mF = 14  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R^13 * S * T * S^-4 * T * S^2 ]

R85.68 :  Type {36,180}_10  Order 720  mV = 180  mF = 18   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S * R^-3 * S^3 * R^-1 * S^3 * R^-23 * S ]

R85.69 :  Type {45,90}_4  Order 720  mV = 30  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^45 ]

R85.70 :  Type {60,60}_6  Order 720  mV = 20  mF = 30   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^19 * R^-7 * S^3 * R^-1 * S^3 * R^-25 * S ]

R85.71 :  Type {60,60}_6  Order 720  mV = 30  mF = 30  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, S^-6 * R^7 * S^-1 * R^3 * S^-1 * R^2 ]

R85.72 :  Type {88,88}_4  Order 704  mV = 44  mF = 44  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-19 * S * R^-1 * S^4 * R^-9 * S * R^-2 * S * R^-2 * S ]

R85.73 :  Type {88,88}_4  Order 704  mV = 44  mF = 44  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^88 ]

R85.74 :  Type {171,342}_2  Order 684  mV = 342  mF = 171   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^73 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-2 * T * R^-79 ]

R85.75 :  Type {172,172}_2  Order 688  mV = 172  mF = 172  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^152 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T ]

R85.76 :  Type {340,340}_2  Order 680  mV = 340  mF = 340  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-72 * R ]


R86.1 :  Type {3,40}_12  Order 2400  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-8 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-10 ]

R86.2 :  Type {4,174}_348  Order 1392  mV = 87  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^174 ]

R86.3 :  Type {4,344}_344  Order 1376  mV = 344  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^86 * R * S^-6 * R * S^80 ]

R86.4 :  Type {6,20}_12  Order 1200  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S^2 * R^2 * S^-1 * R * S^-1 * R^-1 * S^6 ]

R86.5 :  Type {6,20}_12  Order 1200  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ]

R86.6 :  Type {6,88}_264  Order 1056  mV = 44  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^88 ]

R86.7 :  Type {6,258}_86  Order 1032  mV = 258  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^43 * R^2 * S^43 ]

R86.8 :  Type {8,116}_232  Order 928  mV = 58  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^29 * R^4 * S^29 ]

R86.9 :  Type {10,45}_90  Order 900  mV = 9  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-45 ]

R86.10 :  Type {10,215}_86  Order 860  mV = 215  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-22 * R^2 * S^-21 ]

R86.11 :  Type {20,40}_40  Order 800  mV = 20  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^-10 * R^-7 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ]

R86.12 :  Type {20,40}_40  Order 800  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-9 * S^3 ]

R86.13 :  Type {20,40}_40  Order 800  mV = 8  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^13 * S^-3 * R * S^-1, S^10 * R * S^-4 * R * S^6 ]

R86.14 :  Type {173,346}_2  Order 692  mV = 346  mF = 173   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^153 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^4 ]

R86.15 :  Type {174,174}_2  Order 696  mV = 174  mF = 174  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^154 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^3 ]

R86.16 :  Type {344,344}_2  Order 688  mV = 344  mF = 344  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^153 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T ]


R87.1 :  Type {4,90}_90  Order 1440  mV = 30  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^90 ]

R87.2 :  Type {4,176}_176  Order 1408  mV = 88  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^176 ]

R87.3 :  Type {4,176}_176  Order 1408  mV = 88  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^44 * R * S^-1 * R * S^43 ]

R87.4 :  Type {4,348}_174  Order 1392  mV = 348  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^87 * R^2 * S^87 ]

R87.5 :  Type {8,60}_30  Order 960  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^15 * R^4 * S^15 ]

R87.6 :  Type {8,60}_60  Order 960  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^15 * R * S^-2 * R * S^13 ]

R87.7 :  Type {8,60}_120  Order 960  mV = 30  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^60 ]

R87.8 :  Type {8,60}_120  Order 960  mV = 15  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^60 ]

R87.9 :  Type {8,232}_58  Order 928  mV = 232  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^29 * R^2 * S^29 ]

R87.10 :  Type {8,232}_116  Order 928  mV = 232  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^29 * R * S^-2 * R * S^27 ]

R87.11 :  Type {14,203}_58  Order 812  mV = 203  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-15 * R * S^4 * R^-1 * S^-10 ]

R87.12 :  Type {24,96}_32  Order 768  mV = 48  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^17 * S^-3 * R * S^-1, S^8 * R * S^-1 * R * S^7 ]

R87.13 :  Type {24,96}_32  Order 768  mV = 48  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^8 * R^4 * S^8 ]

R87.14 :  Type {90,90}_4  Order 720  mV = 30  mF = 30  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^72 * S^-2 * R^14 ]

R87.15 :  Type {118,177}_6  Order 708  mV = 177  mF = 59   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^56 * S^-1 ]

R87.16 :  Type {175,350}_2  Order 700  mV = 350  mF = 175   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^155 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^3 ]

R87.17 :  Type {176,176}_4  Order 704  mV = 176  mF = 176  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^86 * S^-1 ]

R87.18 :  Type {176,176}_2  Order 704  mV = 176  mF = 176  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^156 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^3 ]

R87.19 :  Type {348,348}_2  Order 696  mV = 348  mF = 348  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^154 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * S^-1 ]


R88.1 :  Type {4,178}_356  Order 1424  mV = 89  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^178 ]

R88.2 :  Type {4,352}_352  Order 1408  mV = 352  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^88 * R^2 * S^88 ]

R88.3 :  Type {6,32}_32  Order 1152  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^32 ]

R88.4 :  Type {6,90}_90  Order 1080  mV = 30  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^90 ]

R88.5 :  Type {6,90}_90  Order 1080  mV = 45  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^90 ]

R88.6 :  Type {6,264}_88  Order 1056  mV = 264  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^44 * R * S^-1 * R * S^43 ]

R88.7 :  Type {10,46}_230  Order 920  mV = 23  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^46 ]

R88.8 :  Type {10,220}_44  Order 880  mV = 220  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^22 * R * S^-1 * R * S^21 ]

R88.9 :  Type {12,72}_72  Order 864  mV = 24  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^18 * R * S^-2 * R * S^16 ]

R88.10 :  Type {12,72}_72  Order 864  mV = 36  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^18 * R^6 * S^18 ]

R88.11 :  Type {16,52}_208  Order 832  mV = 26  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^13 * R^-6 * S^6 * R^-1 * S^-1 * R * S^6 ]

R88.12 :  Type {18,24}_72  Order 864  mV = 12  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, (R * S^-1 * R^4)^2, R^18 ]

R88.13 :  Type {18,24}_72  Order 864  mV = 12  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^24 ]

R88.14 :  Type {18,24}_36  Order 864  mV = 6  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^4, R * S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R * S^2 ]

R88.15 :  Type {18,198}_22  Order 792  mV = 198  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^11 * R * S^-1 * R * S^10 ]

R88.16 :  Type {34,187}_22  Order 748  mV = 187  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^-6 * S^6 ]

R88.17 :  Type {42,63}_18  Order 756  mV = 21  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^12 * S^-5 ]

R88.18 :  Type {46,184}_8  Order 736  mV = 184  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^7 * R^-6 * S^3 * R^-1 * S^3 * R^-25 * S ]

R88.19 :  Type {90,180}_4  Order 720  mV = 180  mF = 45   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^49 * R^-7 * S^3 * R^-1 * S^3 * R^-25 * S ]

R88.20 :  Type {177,354}_2  Order 708  mV = 354  mF = 177   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^79 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-76 * S ]

R88.21 :  Type {178,178}_2  Order 712  mV = 178  mF = 178  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-81 ]

R88.22 :  Type {352,352}_2  Order 704  mV = 352  mF = 352  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^156 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * S^-1 ]


R89.1 :  Type {3,10}_44  Order 5280  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2 ]

R89.2 :  Type {3,10}_24  Order 5280  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S^2 * R^-1 * S ]

R89.3 :  Type {4,15}_60  Order 1920  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, S^-15 ]

R89.4 :  Type {4,48}_48  Order 1536  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 * R * S^-5 * R * S^7 ]

R89.5 :  Type {4,48}_48  Order 1536  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^48 ]

R89.6 :  Type {4,48}_48  Order 1536  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-5 * R * S^7 ]

R89.7 :  Type {4,48}_48  Order 1536  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ]

R89.8 :  Type {4,48}_48  Order 1536  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^48 ]

R89.9 :  Type {4,48}_48  Order 1536  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, 
S^12 * R * S^-3 * R * S^9 ]

R89.10 :  Type {4,48}_48  Order 1536  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^12 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^6 ]

R89.11 :  Type {4,48}_48  Order 1536  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R * S^-3 * R * S^9 ]

R89.12 :  Type {4,48}_12  Order 1536  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, (R * S^-1)^8 ]

R89.13 :  Type {4,48}_24  Order 1536  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^5 * R^-1 * S^-2 ]

R89.14 :  Type {4,92}_92  Order 1472  mV = 23  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^92 ]

R89.15 :  Type {4,180}_180  Order 1440  mV = 90  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^180 ]

R89.16 :  Type {4,356}_178  Order 1424  mV = 356  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^89 * R^2 * S^89 ]

R89.17 :  Type {5,6}_6  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2 * R * S^-2 * R)^2 ]

R89.18 :  Type {5,6}_12  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-1 * R * S^-1 * R)^2 ]

R89.19 :  Type {6,14}_8  Order 1344  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-2)^4, (R * S^-6)^2 ]

R89.20 :  Type {6,14}_14  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S * R * S^-4 * R^-2 * S^-5 ]

R89.21 :  Type {6,14}_28  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, 
S^-4 * R^-2 * S^2 * R^-2 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S^-1 ]

R89.22 :  Type {6,69}_92  Order 1104  mV = 23  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-12 * R^2 * S^-1 * R^2 * S^-10 ]

R89.23 :  Type {6,267}_178  Order 1068  mV = 267  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-45 * R * S * R^-1 * S^-43 ]

R89.24 :  Type {8,10}_10  Order 1280  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, 
S^10 ]

R89.25 :  Type {8,10}_20  Order 1280  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^10, R * S^-1 * R * S^-1 * R^-3 * S^3 * R^-1 * S^-2 ]

R89.26 :  Type {8,10}_20  Order 1280  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 * S^2 ]

R89.27 :  Type {8,10}_20  Order 1280  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^10, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 ]

R89.28 :  Type {8,10}_10  Order 1280  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^10, S^4 * R^3 * S^4 * R^-1 ]

R89.29 :  Type {8,10}_20  Order 1280  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^10, S^4 * R^3 * S^4 * R^-1 ]

R89.30 :  Type {8,10}_20  Order 1280  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^10 ]

R89.31 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^32 ]

R89.32 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^32 ]

R89.33 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-8 * R^2 * S^-1 * R * S^5 * R^-1 * S^-2 ]

R89.34 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^8 * R^3 * S^-4 * R * S^4 ]

R89.35 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-8 * R^2 * S^-2 * R^2 * S^-6 ]

R89.36 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S^8 * R * S^-3 * R * S^5 ]

R89.37 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^8 * R * S^-3 * R * S^5 ]

R89.38 :  Type {8,32}_32  Order 1024  mV = 8  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^8 * R^3 * S^-4 * R * S^4 ]

R89.39 :  Type {8,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^5 * R * S^-2 * R^-1 * S * R^-1 * S^-6 * R * S^2 ]

R89.40 :  Type {8,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^-8 * R^2 * S^-2 * R^2 * S^-6 ]

R89.41 :  Type {8,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ]

R89.42 :  Type {8,32}_32  Order 1024  mV = 8  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ]

R89.43 :  Type {8,120}_60  Order 960  mV = 60  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^30 * R^4 * S^30 ]

R89.44 :  Type {8,120}_60  Order 960  mV = 60  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^30 * R * S^-1 * R * S^29 ]

R89.45 :  Type {12,20}_10  Order 960  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^12, S^3 * R * S^-1 * R^2 * S^3 * R^-1 * S ]

R89.46 :  Type {12,20}_10  Order 960  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-4)^2 ]

R89.47 :  Type {12,20}_60  Order 960  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, R * S^-3 * R^-1 * S * R^-2 * S^6 ]

R89.48 :  Type {12,20}_30  Order 960  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^-5 * R^4 * S^-2 * R * S * R^-1 * S^-2 ]

R89.49 :  Type {12,20}_60  Order 960  mV = 5  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^20 ]

R89.50 :  Type {12,20}_4  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
(R * S^-1)^4, R^12, (R * S^-1 * R^4)^2, 
S^3 * R^4 * S^3 * R^-2 ]

R89.51 :  Type {12,20}_8  Order 960  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, (R * S^-3 * R)^2 ]

R89.52 :  Type {15,15}_8  Order 960  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^4, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, R^-15 ]

R89.53 :  Type {32,96}_12  Order 768  mV = 48  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-2 * S^3 * R^-1 * S^3 * R^-20 * S ]

R89.54 :  Type {32,96}_24  Order 768  mV = 48  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^-4 * S^7 ]

R89.55 :  Type {32,96}_24  Order 768  mV = 48  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-5 * R^-1 * S^5 * R^-1 * S^-2,
R^-1 * S^2 * R^-2 * S * R^-7 * S^3 ]

R89.56 :  Type {32,96}_12  Order 768  mV = 48  mF = 16   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2,
R^-1 * S^2 * R^-2 * S * R^-7 * S^3 ]

R89.57 :  Type {48,48}_4  Order 768  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-2 * S^29 * R^-1 * S * R^-13 * S ]

R89.58 :  Type {48,48}_4  Order 768  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R * S^-1 * R * S^-1 * R^4 * S^-1 * R^9 * S^-1 * R^3 * S^-2 ]

R89.59 :  Type {48,48}_8  Order 768  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S^5 * R^-1 * S * R^-2 * S * R^-13 * S ]

R89.60 :  Type {48,48}_8  Order 768  mV = 16  mF = 16  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, 
S^-6 * R^2 * S^-1 * R^9 * S^-5 * R ]

R89.61 :  Type {48,48}_8  Order 768  mV = 24  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-2 * S^5 * R^-1 * S^6 * R^-3 * S * R^-1 * S * R^-13 * S * R^-5 * S^8 * R^-1 ]

R89.62 :  Type {48,48}_8  Order 768  mV = 24  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-1 * R^6 * S^-1 * R^12 * S^-2 * R^2 ]

R89.63 :  Type {48,48}_8  Order 768  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, (R * S^-1 * R^4)^2, S^-2 * R^-3 * S * R^4 * S^3 * R^-1 * S^-2 ]

R89.64 :  Type {48,48}_8  Order 768  mV = 24  mF = 24  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S^-1 * R * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5 ]

R89.65 :  Type {48,48}_8  Order 768  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^7 * S^-1 * R^12 * S^-3 * R ]

R89.66 :  Type {48,48}_4  Order 768  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^3 * R^-22 * S^2 * R^-1 * S * R^-10 * S^2 * R^-2 * S * R^-1 * S^3 ]

R89.67 :  Type {48,48}_4  Order 768  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^2 * R^-1 * S * R^-3 * S * R^-14 * S^2 ]

R89.68 :  Type {48,48}_8  Order 768  mV = 12  mF = 12  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^-1 * S^2 * R^-1 * S * R^-7 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^3 ]

R89.69 :  Type {92,92}_4  Order 736  mV = 46  mF = 46  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^51 * R^-8 * S^3 * R^-2 * S * R^-26 * S ]

R89.70 :  Type {179,358}_2  Order 716  mV = 358  mF = 179   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^81 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-2 * T * R^-79 ]

R89.71 :  Type {180,180}_2  Order 720  mV = 180  mF = 180  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-81 ]

R89.72 :  Type {356,356}_2  Order 712  mV = 356  mF = 356  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-80 * R ]


R90.1 :  Type {4,93}_186  Order 1488  mV = 31  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-93 ]

R90.2 :  Type {4,182}_364  Order 1456  mV = 91  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^182 ]

R90.3 :  Type {4,360}_360  Order 1440  mV = 360  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^90 * R^2 * S^90 ]

R90.4 :  Type {6,92}_276  Order 1104  mV = 46  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^92 ]

R90.5 :  Type {8,62}_248  Order 992  mV = 31  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^62 ]

R90.6 :  Type {12,38}_228  Order 912  mV = 19  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^38 ]

R90.7 :  Type {14,32}_224  Order 896  mV = 16  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^32 ]

R90.8 :  Type {14,210}_30  Order 840  mV = 210  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^15 * R^2 * S^15 ]

R90.9 :  Type {20,22}_220  Order 880  mV = 11  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^22 ]

R90.10 :  Type {21,35}_10  Order 840  mV = 7  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1, S^-4 * R^-2 * S^-4 * R ]

R90.11 :  Type {22,198}_18  Order 792  mV = 198  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^15 * S^-3 * R * S^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ]

R90.12 :  Type {26,195}_30  Order 780  mV = 195  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-8 * R * S * R^-1 * S^-6 ]

R90.13 :  Type {38,190}_10  Order 760  mV = 190  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^24 * S^-3 * R * S^-3 * R^7 ]

R90.14 :  Type {62,186}_6  Order 744  mV = 186  mF = 31   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^19 * R^-8 * S^3 * R^-1 * S^3 * R^-26 ]

R90.15 :  Type {74,185}_10  Order 740  mV = 185  mF = 37   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-3 * R^20 * S^-3 * R * S^-3 * R^5 * S^-2 ]

R90.16 :  Type {92,184}_8  Order 736  mV = 184  mF = 46   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S^4 * R^-8 * S^3 * R^-1 * S^3 * R^-26 ]

R90.17 :  Type {93,93}_4  Order 744  mV = 31  mF = 31  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^75 * S^-2 * R^14 ]

R90.18 :  Type {122,183}_6  Order 732  mV = 183  mF = 61   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^20 * R^-8 * S^3 * R^-1 * S^3 * R^-25 * S ]

R90.19 :  Type {181,362}_2  Order 724  mV = 362  mF = 181   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^160 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T ]

R90.20 :  Type {182,182}_2  Order 728  mV = 182  mF = 182  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-82 ]

R90.21 :  Type {360,360}_2  Order 720  mV = 360  mF = 360  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-80 * R ]


R91.1 :  Type {3,21}_18  Order 3024  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^6 * R^-1 * S^-7, S^-2 * R * S^-3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1, (S^-2 * R * S^-3)^3 ]

R91.2 :  Type {3,30}_6  Order 2700  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^30 ]

R91.3 :  Type {3,36}_24  Order 2592  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-9 * R^-1 * S^8 * R^-1 * S^-1 ]

R91.4 :  Type {3,36}_24  Order 2592  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, S * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ]

R91.5 :  Type {4,5}_40  Order 7200  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ]

R91.6 :  Type {4,8}_10  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R * S, S^-4 * R * S^-1 * R^-2 * S^3 * R^-1 * S^-1 * R * S^-1 * R ]

R91.7 :  Type {4,8}_10  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, 
(S^-2 * R * S^-1)^3 ]

R91.8 :  Type {4,8}_10  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R91.9 :  Type {4,8}_10  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^3 ]

R91.10 :  Type {4,8}_8  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1 * R * S^-1)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^3 * R^-1 ]

R91.11 :  Type {4,8}_6  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^2 * R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 * S * R^-1 * S^2 ]

R91.12 :  Type {4,8}_6  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S^-1 * R)^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R91.13 :  Type {4,8}_6  Order 2880  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ]

R91.14 :  Type {4,10}_30  Order 2400  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, (R * S^-1)^6, R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S ]

R91.15 :  Type {4,24}_24  Order 1728  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^24 ]

R91.16 :  Type {4,24}_24  Order 1728  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^24 ]

R91.17 :  Type {4,24}_24  Order 1728  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-3 ]

R91.18 :  Type {4,24}_24  Order 1728  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6 ]

R91.19 :  Type {4,24}_24  Order 1728  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-1)^6 ]

R91.20 :  Type {4,24}_24  Order 1728  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ]

R91.21 :  Type {4,24}_24  Order 1728  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ]

R91.22 :  Type {4,24}_24  Order 1728  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 * R, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ]

R91.23 :  Type {4,40}_8  Order 1600  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
(R * S^-1)^10 ]

R91.24 :  Type {4,40}_8  Order 1600  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ]

R91.25 :  Type {4,44}_66  Order 1584  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^11 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ]

R91.26 :  Type {4,184}_184  Order 1472  mV = 92  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^184 ]

R91.27 :  Type {4,184}_184  Order 1472  mV = 92  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^46 * R * S^-1 * R * S^45 ]

R91.28 :  Type {4,364}_182  Order 1456  mV = 364  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^91 * R^2 * S^91 ]

R91.29 :  Type {5,5}_10  Order 3600  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-2 * R * S^-1 * R * S^-1 ]

R91.30 :  Type {6,12}_30  Order 1440  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ]

R91.31 :  Type {6,12}_10  Order 1440  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R91.32 :  Type {6,18}_12  Order 1296  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-4 * R^3 * S^-5, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ]

R91.33 :  Type {6,33}_66  Order 1188  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-33 ]

R91.34 :  Type {6,93}_186  Order 1116  mV = 31  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-93 ]

R91.35 :  Type {6,273}_182  Order 1092  mV = 273  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-46 * R^2 * S^-45 ]

R91.36 :  Type {8,8}_4  Order 1440  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (S^-1 * R)^5, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 ]

R91.37 :  Type {8,8}_8  Order 1440  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S^8, (R^3 * S^-1)^3, (R * S^-3 * R^2)^2, S^-2 * R^3 * S^-1 * R^-2 * S^3 * R^-1 * S^-1 * R ]

R91.38 :  Type {8,8}_10  Order 1440  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, (R * S^-3 * R^2)^2, R * S^-1 * R^3 * S^-1 * R^-3 * S * R^-3 * S ]

R91.39 :  Type {8,8}_10  Order 1440  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ]

R91.40 :  Type {8,16}_48  Order 1152  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1 ]

R91.41 :  Type {8,16}_48  Order 1152  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, (R * S^-1)^6 ]

R91.42 :  Type {10,10}_6  Order 1200  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^5 * S^-4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R91.43 :  Type {15,30}_30  Order 900  mV = 15  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-15 ]

R91.44 :  Type {16,28}_112  Order 896  mV = 14  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^28 ]

R91.45 :  Type {16,28}_112  Order 896  mV = 7  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, 
S^28 ]

R91.46 :  Type {16,208}_26  Order 832  mV = 208  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-7 * S^4, S^13 * R * S^-4 * R * S^9 ]

R91.47 :  Type {16,208}_52  Order 832  mV = 208  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-7 * S^4, S^13 * R^2 * S^13 ]

R91.48 :  Type {18,36}_6  Order 864  mV = 9  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R * S^-1 * R^11 * S^-2 * R^2 * S^-1 ]

R91.49 :  Type {18,36}_24  Order 864  mV = 6  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^-3 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ]

R91.50 :  Type {24,24}_12  Order 864  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R91.51 :  Type {24,24}_12  Order 864  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R91.52 :  Type {24,24}_12  Order 864  mV = 8  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^-5 ]

R91.53 :  Type {24,24}_12  Order 864  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R^6 * S^-5 ]

R91.54 :  Type {24,24}_12  Order 864  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S^-1 * R^6 * S^-5 ]

R91.55 :  Type {24,24}_6  Order 864  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R91.56 :  Type {24,24}_6  Order 864  mV = 6  mF = 6  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^3 * R^-1 * S * R^-9 * S^7 * R^-1 * S ]

R91.57 :  Type {24,24}_6  Order 864  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R^6 * S^5 ]

R91.58 :  Type {24,24}_6  Order 864  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^-15 * S * R^-5 * S * R^-2 ]

R91.59 :  Type {24,24}_6  Order 864  mV = 4  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-2 * S^2 * R^-1 * S^2 * R^-1 * S * R^-10 * S^5 ]

R91.60 :  Type {30,195}_26  Order 780  mV = 195  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^6 * R^-2 * S^7 ]

R91.61 :  Type {40,40}_20  Order 800  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^5 * R^-7 * S^-1 * R * S^4 * R ]

R91.62 :  Type {40,40}_20  Order 800  mV = 8  mF = 20   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^10 * S^-6 ]

R91.63 :  Type {40,40}_10  Order 800  mV = 20  mF = 20  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^5 * R^-9 * S^-5 ]

R91.64 :  Type {40,40}_10  Order 800  mV = 20  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, S^7 * R^-3 * S * R^-5 * S * R^-9 * S * R^-5 * S^6 * R^-2 ]

R91.65 :  Type {44,44}_6  Order 792  mV = 11  mF = 11  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^2 * R^-1 * S * R^-1 * T * R * S^-1 * R * S^-2 * R^6 * S^-1 * T * R^-1 * S * R^-1 * S ]

R91.66 :  Type {54,189}_14  Order 756  mV = 189  mF = 27   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^-5 * R^12 * S^-3 * R * S^-3 * R * S^-2 ]

R91.67 :  Type {63,126}_6  Order 756  mV = 63  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^24 * S^-7 * R^5 * S^-1 * R^13 * S^-1 * R^2 * S^-1 * R^2 * S^-6 * R ]

R91.68 :  Type {183,366}_2  Order 732  mV = 366  mF = 183   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^82 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-81 ]

R91.69 :  Type {184,184}_4  Order 736  mV = 184  mF = 184  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^50 * R^-8 * S^3 * R^-2 * S * R^-27 ]

R91.70 :  Type {184,184}_2  Order 736  mV = 184  mF = 184  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^82 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-82 * R ]

R91.71 :  Type {364,364}_2  Order 728  mV = 364  mF = 364  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-81 * R ]


R92.1 :  Type {3,12}_14  Order 4368  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2,
S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1, S^3 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S, 
S^2 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 ]

R92.2 :  Type {3,12}_14  Order 4368  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^3 * R^-1 * S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S ]

R92.3 :  Type {4,6}_14  Order 4368  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R^-1 * S * R^-1 * S^2)^3, S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S ]

R92.4 :  Type {4,186}_372  Order 1488  mV = 93  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^186 ]

R92.5 :  Type {4,368}_368  Order 1472  mV = 368  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^92 * R^2 * S^92 ]

R92.6 :  Type {6,6}_12  Order 2184  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 * R * S^-2, S^-1 * R * S^-3 * R^-1 * S * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 ]

R92.7 :  Type {6,16}_16  Order 1344  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^-3 * S^-5, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R ]

R92.8 :  Type {6,16}_28  Order 1344  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^-3 * S^-5, S^-2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ]

R92.9 :  Type {6,94}_282  Order 1128  mV = 47  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^94 ]

R92.10 :  Type {6,276}_92  Order 1104  mV = 276  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^46 * R^2 * S^46 ]

R92.11 :  Type {8,33}_132  Order 1056  mV = 11  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-33 ]

R92.12 :  Type {8,124}_248  Order 992  mV = 62  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^31 * R^4 * S^31 ]

R92.13 :  Type {10,48}_240  Order 960  mV = 24  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^48 ]

R92.14 :  Type {10,230}_46  Order 920  mV = 230  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^23 * R * S^-2 * R * S^21 ]

R92.15 :  Type {18,207}_46  Order 828  mV = 207  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^-12 * R * S^7 * R^-1 * S^-4 ]

R92.16 :  Type {94,188}_4  Order 752  mV = 188  mF = 47   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^52 * R^-8 * S^3 * R^-2 * S * R^-27 ]

R92.17 :  Type {185,370}_2  Order 740  mV = 370  mF = 185   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^83 * R^-3 * T * S^-1 * R^2 * T * S * R^-9 * T * R^3 * T * R^-81 * S ]

R92.18 :  Type {186,186}_2  Order 744  mV = 186  mF = 186  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * R^-3 * T * R^9 * S^-1 * T * R^-2 * S * T * R^3 * S^-84 ]

R92.19 :  Type {368,368}_2  Order 736  mV = 368  mF = 368  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^82 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-83 ]


R93.1 :  Type {4,96}_96  Order 1536  mV = 32  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 * R * S^-2 * R * S^22 ]

R93.2 :  Type {4,96}_96  Order 1536  mV = 32  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^96 ]

R93.3 :  Type {4,96}_96  Order 1536  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^96 ]

R93.4 :  Type {4,96}_96  Order 1536  mV = 24  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^24 * R^2 * S^2 * R^-1 * S^-3 * R * S^19 ]

R93.5 :  Type {4,188}_188  Order 1504  mV = 94  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^188 ]

R93.6 :  Type {4,372}_186  Order 1488  mV = 372  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^93 * R^2 * S^93 ]

R93.7 :  Type {7,12}_16  Order 1344  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S * R * S^-2 * R * S^3, 
S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 ]

R93.8 :  Type {8,18}_18  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ]

R93.9 :  Type {8,18}_18  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, 
S^18 ]

R93.10 :  Type {8,18}_36  Order 1152  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^18 ]

R93.11 :  Type {8,18}_72  Order 1152  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, 
S^18 ]

R93.12 :  Type {8,18}_36  Order 1152  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, R^2 * S^-1 * R * S^-1 * R^-4 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^5 ]

R93.13 :  Type {8,64}_64  Order 1024  mV = 32  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^64 ]

R93.14 :  Type {8,64}_64  Order 1024  mV = 16  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^64 ]

R93.15 :  Type {8,64}_64  Order 1024  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R^3 * S^-2 * R * S^14 ]

R93.16 :  Type {8,64}_64  Order 1024  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 * R^3 * S^-4 * R * S^12 ]

R93.17 :  Type {8,64}_64  Order 1024  mV = 16  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R^4 * S^16 ]

R93.18 :  Type {8,64}_64  Order 1024  mV = 32  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R * S^-1 * R * S^15 ]

R93.19 :  Type {8,248}_62  Order 992  mV = 248  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^31 * R * S^-2 * R * S^29 ]

R93.20 :  Type {8,248}_124  Order 992  mV = 248  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^31 * R^2 * S^31 ]

R93.21 :  Type {12,30}_20  Order 960  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ]

R93.22 :  Type {12,30}_40  Order 960  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^-4 * S^7 ]

R93.23 :  Type {12,76}_114  Order 912  mV = 38  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^19 * R^6 * S^19 ]

R93.24 :  Type {14,217}_62  Order 868  mV = 217  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-16 * R * S^5 * R^-1 * S^-10 ]

R93.25 :  Type {64,192}_12  Order 768  mV = 192  mF = 32   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-4 * R^16 * S^-3 * R * S^-3 * R^3 * S^-2 ]

R93.26 :  Type {64,192}_6  Order 768  mV = 192  mF = 32   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^20 * R^-9 * S^3 * R^-1 * S^3 * R^-25 * S ]

R93.27 :  Type {96,96}_8  Order 768  mV = 32  mF = 32   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S * R^-14 ]

R93.28 :  Type {96,96}_4  Order 768  mV = 32  mF = 32  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-1 * S * R^-1 * S^29 * R^-1 * S * R^-14 ]

R93.29 :  Type {96,96}_4  Order 768  mV = 32  mF = 32  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^78 * S^-2 * R^14 ]

R93.30 :  Type {96,96}_4  Order 768  mV = 48  mF = 48  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^63 * S^-3 * R^2 * S^-1 * T * R^-12 * T * R^15 ]

R93.31 :  Type {96,96}_8  Order 768  mV = 48  mF = 48   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S^5 * R^-9 * S^3 * R^-1 * S^3 * R^-25 * S ]

R93.32 :  Type {96,96}_4  Order 768  mV = 48  mF = 48  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-22 * S^2 * R^-1 * S * R^-10 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 ]

R93.33 :  Type {187,374}_2  Order 748  mV = 374  mF = 187   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^168 * T * S * R^-1 * T * R^10 * T * R^-3 * T * R^3 * S^-1 ]

R93.34 :  Type {188,188}_2  Order 752  mV = 188  mF = 188  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^86 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-82 * R ]

R93.35 :  Type {372,372}_2  Order 744  mV = 372  mF = 372  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * R^-3 * T * R^9 * S^-1 * T * R^-2 * S * T * R^3 * S^-83 * R ]


R94.1 :  Type {4,35}_42  Order 1680  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, R * S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 ]

R94.2 :  Type {4,66}_44  Order 1584  mV = 11  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^11 * R^2 * S * R^-1 * S^-1 * R * S^9 ]

R94.3 :  Type {4,190}_380  Order 1520  mV = 95  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^190 ]

R94.4 :  Type {4,376}_376  Order 1504  mV = 376  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^94 * R^2 * S^94 ]

R94.5 :  Type {6,96}_96  Order 1152  mV = 48  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^16 * R * S^-3 * R * S^13 ]

R94.6 :  Type {6,96}_96  Order 1152  mV = 32  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^96 ]

R94.7 :  Type {6,96}_96  Order 1152  mV = 48  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^96 ]

R94.8 :  Type {6,282}_94  Order 1128  mV = 282  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^47 * R * S^-1 * R * S^46 ]

R94.9 :  Type {10,235}_94  Order 940  mV = 235  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-24 * R * S * R^-1 * S^-22 ]

R94.10 :  Type {12,21}_42  Order 1008  mV = 7  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^5 * S * R^-3, 
S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-21 ]

R94.11 :  Type {12,21}_8  Order 1008  mV = 3  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^5 * S * R^-3, 
S^-2 * R^-4 * S^-5 ]

R94.12 :  Type {12,114}_76  Order 912  mV = 57  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^19 * R * S^-3 * R * S^16 ]

R94.13 :  Type {18,72}_24  Order 864  mV = 36  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-7 * S^-1 * R^4, 
S^3 * R^-4 * S * R^-2 * S * R^-4 * S^3 ]

R94.14 :  Type {18,72}_24  Order 864  mV = 24  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^12 * R * S^-2 * R * S^10 ]

R94.15 :  Type {18,72}_12  Order 864  mV = 18  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ]

R94.16 :  Type {24,36}_72  Order 864  mV = 18  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^7 * S^-4 * T * R^-2 * S * R^2 * T * S^-2 * R^-1 * S^2 ]

R94.17 :  Type {24,36}_72  Order 864  mV = 6  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^9 * R^2 * S * R^-1 * S^-5 * R * S^3 ]

R94.18 :  Type {30,42}_70  Order 840  mV = 21  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S * R^-1 * S, S^3 * R * S^-4 * R^-1 * S^7 ]

R94.19 :  Type {35,35}_6  Order 840  mV = 7  mF = 7  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^4, S * R * S^-1 * R^-3 * S^3 * R^-2 ]

R94.20 :  Type {66,66}_6  Order 792  mV = 33  mF = 33  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^2 * S^-1 * R^3 * S^-1 * R^8 * S^-1 * R^3 * S^-1 * R^2 ]

R94.21 :  Type {66,66}_6  Order 792  mV = 33  mF = 22   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^24 * R^-1 * S^7 * R^-3 * S * R^-2 * S * R^-12 * S * R^-5 * S^8 * R^-1 ]

R94.22 :  Type {189,378}_2  Order 756  mV = 378  mF = 189   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^83 * R^-3 * T * R^3 * T * R^-10 * T * R^3 * T * R^-85 * S ]

R94.23 :  Type {190,190}_2  Order 760  mV = 190  mF = 190  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^87 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-84 ]

R94.24 :  Type {376,376}_2  Order 752  mV = 376  mF = 376  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^86 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-83 ]


R95.1 :  Type {4,192}_192  Order 1536  mV = 96  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^192 ]

R95.2 :  Type {4,192}_192  Order 1536  mV = 96  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^48 * R * S^-1 * R * S^47 ]

R95.3 :  Type {4,380}_190  Order 1520  mV = 380  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^95 * R^2 * S^95 ]

R95.4 :  Type {6,285}_190  Order 1140  mV = 285  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-48 * R * S * R^-1 * S^-46 ]

R95.5 :  Type {8,128}_128  Order 1024  mV = 64  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^32 * R^3 * S^-5 * R^-1 * S^27 ]

R95.6 :  Type {8,128}_128  Order 1024  mV = 64  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^32 * R * S^-1 * R * S^31 ]

R95.7 :  Type {12,40}_30  Order 960  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, 
S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-6 ]

R95.8 :  Type {12,40}_60  Order 960  mV = 10  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, 
R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^6 ]

R95.9 :  Type {12,40}_120  Order 960  mV = 20  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^40 ]

R95.10 :  Type {12,40}_120  Order 960  mV = 20  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^10 * R * S^-1 * R * S^9 ]

R95.11 :  Type {12,228}_38  Order 912  mV = 228  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^19 * R^2 * S^19 ]

R95.12 :  Type {16,56}_112  Order 896  mV = 28  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, 
S^14 * R * S^-1 * R * S^13 ]

R95.13 :  Type {16,56}_112  Order 896  mV = 28  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^14 * R^-6 * S^6 * R^-1 * S^-1 * R * S^7 ]

R95.14 :  Type {20,44}_110  Order 880  mV = 22  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^11 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R95.15 :  Type {22,209}_38  Order 836  mV = 209  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^15 * S^-3 * R * S^-1, S^-10 * R * S^4 * R^-1 * S^-5 ]

R95.16 :  Type {78,195}_10  Order 780  mV = 195  mF = 39   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^3 * R^-3 * S^2 * R^-1 * S^2 * R^-26 * S^2 ]

R95.17 :  Type {191,382}_2  Order 764  mV = 382  mF = 191   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^171 * T * R^-3 * T * R^10 * T * R^-3 * T * R^4 ]

R95.18 :  Type {192,192}_4  Order 768  mV = 192  mF = 192  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^62 * S^-3 * R^2 * S^-1 * T * R^-12 * T * R^14 * S^-1 ]

R95.19 :  Type {192,192}_2  Order 768  mV = 192  mF = 192  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^172 * T * R^-3 * T * R^10 * T * R^-3 * T * R^4 ]

R95.20 :  Type {380,380}_2  Order 760  mV = 380  mF = 380  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^87 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-83 * R ]


R96.1 :  Type {3,9}_20  Order 6840  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2,
S^-3 * R * S^-4 * R * S^-3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-1 ]

R96.2 :  Type {3,9}_18  Order 6840  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S * R^-1 * S^2 * R * S^-3 * R * S^-2 * R * S^-2 * R * S^-3 * R * S^2 * R^-1 * S ]

R96.3 :  Type {3,9}_10  Order 6840  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, (S * R^-1 * S)^5,
S^-2 * R^-1 * S^2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^2 * R^-1 * S^-1 ]

R96.4 :  Type {4,99}_198  Order 1584  mV = 33  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-99 ]

R96.5 :  Type {4,194}_388  Order 1552  mV = 97  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^194 ]

R96.6 :  Type {4,384}_384  Order 1536  mV = 384  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^96 * R^2 * S^96 ]

R96.7 :  Type {6,98}_294  Order 1176  mV = 49  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^98 ]

R96.8 :  Type {8,66}_132  Order 1056  mV = 22  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-17 * R^4 * S^-16 ]

R96.9 :  Type {8,66}_264  Order 1056  mV = 33  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^66 ]

R96.10 :  Type {10,12}_12  Order 1200  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, R^-1 * S * R^4 * S * R^-1 * S^2, S^12 ]

R96.11 :  Type {10,12}_12  Order 1200  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^10, S^12 ]

R96.12 :  Type {10,12}_12  Order 1200  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 ]

R96.13 :  Type {10,50}_50  Order 1000  mV = 10  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^50 ]

R96.14 :  Type {10,50}_50  Order 1000  mV = 25  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^50 ]

R96.15 :  Type {10,240}_48  Order 960  mV = 240  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^24 * R * S^-3 * R * S^21 ]

R96.16 :  Type {14,34}_238  Order 952  mV = 17  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^34 ]

R96.17 :  Type {14,224}_32  Order 896  mV = 224  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^16 * R * S^-1 * R * S^15 ]

R96.18 :  Type {18,26}_234  Order 936  mV = 13  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^26 ]

R96.19 :  Type {26,208}_16  Order 832  mV = 208  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7, S * R^-1 * S^2 * R^-21 * S ]

R96.20 :  Type {30,70}_42  Order 840  mV = 35  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S^7 * R^-1 * S^-2 * R * S^5 ]

R96.21 :  Type {34,204}_12  Order 816  mV = 204  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^25 * S^-2 * R * S^-2 * R^4 ]

R96.22 :  Type {50,200}_8  Order 800  mV = 200  mF = 25   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^8 * R^-8 * S^2 * R^-1 * S^2 * R^-29 ]

R96.23 :  Type {51,68}_6  Order 816  mV = 17  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 ]

R96.24 :  Type {98,196}_4  Order 784  mV = 196  mF = 49   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^56 * R^-8 * S^2 * R^-1 * S^2 * R^-29 ]

R96.25 :  Type {99,99}_4  Order 792  mV = 33  mF = 33  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^81 * S^-2 * R^14 ]

R96.26 :  Type {130,195}_6  Order 780  mV = 195  mF = 65   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^22 * R^-8 * S^2 * R^-1 * S * R^-2 * S * R^-26 * S ]

R96.27 :  Type {193,386}_2  Order 772  mV = 386  mF = 193   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^91 * R^-4 * T * R^10 * T * R^-3 * T * R^3 * T * R^-80 * S ]

R96.28 :  Type {194,194}_2  Order 776  mV = 194  mF = 194  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * S * R^-1 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-93 ]

R96.29 :  Type {384,384}_2  Order 768  mV = 384  mF = 384  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^172 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-1 ]


R97.1 :  Type {3,12}_48  Order 4608  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 ]

R97.2 :  Type {3,12}_24  Order 4608  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ]

R97.3 :  Type {3,12}_48  Order 4608  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-1, 
S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ]

R97.4 :  Type {3,12}_24  Order 4608  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-1, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 ]

R97.5 :  Type {3,24}_16  Order 3072  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, 
(S^2 * R^-1 * S^4 * R^-1 * S)^2, (S * R^-1 * S)^8 ]

R97.6 :  Type {3,24}_16  Order 3072  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, (S * R^-1 * S)^8 ]

R97.7 :  Type {3,24}_16  Order 3072  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3, (S^2 * R^-1 * S^4 * R^-1 * S)^2 ]

R97.8 :  Type {3,24}_8  Order 3072  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-5 * R * S^-2 * R * S^6 * R^-1 * S^2 ]

R97.9 :  Type {3,30}_20  Order 2880  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^2, S * R * S^-3 * R^-1 * S^5 * R^-1 * S^-3 * R * S^6 ]

R97.10 :  Type {3,30}_40  Order 2880  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3 ]

R97.11 :  Type {4,5}_24  Order 7680  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R, (R * S^-2 * R * S^-1)^4 ]

R97.12 :  Type {4,6}_8  Order 4608  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ]

R97.13 :  Type {4,7}_14  Order 3584  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ]

R97.14 :  Type {4,7}_28  Order 3584  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 ]

R97.15 :  Type {4,7}_28  Order 3584  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-7, R * S^-2 * R * S^-3 * R^-2 * S^3 * R^-1 * S^3 * R^-1 * S ]

R97.16 :  Type {4,10}_20  Order 2560  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-4 * R^2 * S^5 * R^-1 ]

R97.17 :  Type {4,10}_40  Order 2560  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R^-2 * S^-3 * R * S * R^-1 * S^2 ]

R97.18 :  Type {4,10}_40  Order 2560  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^10, 
S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ]

R97.19 :  Type {4,12}_8  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^12, S^-2 * R * S^-3 * R^2 * S^-3 * R * S^-2 ]

R97.20 :  Type {4,12}_8  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^12, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ]

R97.21 :  Type {4,16}_16  Order 2048  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^16 ]

R97.22 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, 
S^16 ]

R97.23 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R, S^16 ]

R97.24 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2,
S^16 ]

R97.25 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^8, S^16 ]

R97.26 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^16 ]

R97.27 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, 
S^16 ]

R97.28 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R * S^2 ]

R97.29 :  Type {4,16}_16  Order 2048  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, (R * S^-1)^8 ]

R97.30 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-3 ]

R97.31 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1, 
(R * S^-1)^8 ]

R97.32 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S ]

R97.33 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ]

R97.34 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ]

R97.35 :  Type {4,16}_8  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R97.36 :  Type {4,16}_8  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ]

R97.37 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ]

R97.38 :  Type {4,16}_16  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6 ]

R97.39 :  Type {4,16}_8  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R97.40 :  Type {4,16}_8  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6 ]

R97.41 :  Type {4,16}_8  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R97.42 :  Type {4,16}_8  Order 2048  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, (R * S^-1)^8 ]

R97.43 :  Type {4,16}_8  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ]

R97.44 :  Type {4,16}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ]

R97.45 :  Type {4,16}_8  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S,
S^16 ]

R97.46 :  Type {4,16}_16  Order 2048  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ]

R97.47 :  Type {4,16}_16  Order 2048  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, 
S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ]

R97.48 :  Type {4,16}_16  Order 2048  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ]

R97.49 :  Type {4,20}_12  Order 1920  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 * R ]

R97.50 :  Type {4,20}_24  Order 1920  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-4 * R^2 * S^-4 * R * S ]

R97.51 :  Type {4,28}_56  Order 1792  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, S^28 ]

R97.52 :  Type {4,52}_104  Order 1664  mV = 13  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^52 ]

R97.53 :  Type {4,100}_100  Order 1600  mV = 25  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^100 ]

R97.54 :  Type {4,196}_196  Order 1568  mV = 98  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^196 ]

R97.55 :  Type {4,388}_194  Order 1552  mV = 388  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^97 * R^2 * S^97 ]

R97.56 :  Type {5,5}_12  Order 3840  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ]

R97.57 :  Type {6,6}_6  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, 
S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ]

R97.58 :  Type {6,6}_12  Order 2304  mV = 1  mF = 1   

Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, 
(R * S^-1)^6, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^-2 * S * R^2 * S * R^-2 * S^-1 * R * S ]

R97.59 :  Type {6,6}_6  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R * S^-1 * R^-2 * S * R^2 * S * R^-2 * S^-1 * R * S ]

R97.60 :  Type {6,6}_12  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, 
S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ]

R97.61 :  Type {6,6}_12  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R)^4 ]

R97.62 :  Type {6,6}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-1 * R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^-2 * R * S^-2 ]

R97.63 :  Type {6,6}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, 
(R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R97.64 :  Type {6,6}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R97.65 :  Type {6,6}_12  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, 
(S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ]

R97.66 :  Type {6,6}_24  Order 2304  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, 
(R * S^-2 * R * S^-1 * R)^2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ]

R97.67 :  Type {6,6}_12  Order 2304  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S * R * S^-2 * R^3 * S^3 * R^-2 ]

R97.68 :  Type {6,7}_18  Order 2016  mV = 1  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-7,
S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ]

R97.69 :  Type {6,9}_72  Order 1728  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, 
R^-1 * S^-1 * R^2 * S * R^-1 * S * R^2 * S^-1 * R^-3 * S * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 ]

R97.70 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-4 * R^2 * S * R^-1 * S^-1 * R, (R * S^-1 * R)^4 ]

R97.71 :  Type {6,12}_4  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R)^4, (R * S^-4 * R)^2 ]

R97.72 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-1 * R)^4 ]

R97.73 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-1 * R)^4 ]

R97.74 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ]

R97.75 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R97.76 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, 
S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ]

R97.77 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ]

R97.78 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-2)^4, (R * S^-5)^2 ]

R97.79 :  Type {6,12}_8  Order 1536  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-1 * R)^4 ]

R97.80 :  Type {6,12}_16  Order 1536  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ]

R97.81 :  Type {6,12}_16  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 ]

R97.82 :  Type {6,12}_8  Order 1536  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4 ]

R97.83 :  Type {6,15}_24  Order 1440  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, R^2 * S^-2 * R^-2 * S * R^-2 * S^-2 ]

R97.84 :  Type {6,15}_8  Order 1440  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S^-1 ]

R97.85 :  Type {6,21}_56  Order 1344  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-4 ]

R97.86 :  Type {6,27}_108  Order 1296  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-27 ]

R97.87 :  Type {6,75}_100  Order 1200  mV = 25  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-13 * R * S * R^-1 * S^-4 * R * S * R^-1 * S^-6 ]

R97.88 :  Type {6,99}_198  Order 1188  mV = 33  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-99 ]

R97.89 :  Type {6,291}_194  Order 1164  mV = 291  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-49 * R^2 * S^-48 ]

R97.90 :  Type {7,7}_4  Order 1792  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-7, S^-1 * R^3 * S^-1 * R^3 * S^-3 * R * S^-2 ]

R97.91 :  Type {7,7}_8  Order 1792  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ]

R97.92 :  Type {7,7}_8  Order 1792  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R ]

R97.93 :  Type {8,24}_8  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1 ]

R97.94 :  Type {8,24}_8  Order 1152  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, (R * S^-1)^6 ]

R97.95 :  Type {8,24}_4  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^-6 * R^-4 * S^-6 ]

R97.96 :  Type {8,24}_8  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-6 * R^-4 * S^-6 ]

R97.97 :  Type {8,24}_8  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^3 * R^-1 * S ]

R97.98 :  Type {8,24}_8  Order 1152  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 ]

R97.99 :  Type {10,10}_8  Order 1280  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, (R * S^-4)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2 ]

R97.100 :  Type {10,10}_8  Order 1280  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R * S^-1 * R)^2,
(R * S^-2 * R * S^-1)^2, S^10, S * R * S^-1 * R^4 * S * R^-3 * S ]

R97.101 :  Type {10,10}_4  Order 1280  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
R^10, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2 ]

R97.102 :  Type {12,12}_12  Order 1152  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2 ]

R97.103 :  Type {12,12}_24  Order 1152  mV = 3  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, 
S * R * S^-3 * R * S^4, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1 ]

R97.104 :  Type {12,12}_24  Order 1152  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R97.105 :  Type {12,12}_24  Order 1152  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^12, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R97.106 :  Type {12,12}_24  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, R^12, S^-1 * R^6 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R97.107 :  Type {12,12}_24  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, R^12, (R * S^-1 * R^4)^2, S^-3 * R^4 * S * R^-2 * S^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R97.108 :  Type {12,12}_12  Order 1152  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ]

R97.109 :  Type {12,12}_24  Order 1152  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-3 * R^2 ]

R97.110 :  Type {12,12}_6  Order 1152  mV = 1  mF = 1  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12 ]

R97.111 :  Type {12,12}_12  Order 1152  mV = 2  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^12 ]

R97.112 :  Type {12,12}_24  Order 1152  mV = 2  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3 * R)^2, R^12 ]

R97.113 :  Type {12,12}_24  Order 1152  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
(R * S^-3)^2, R^12, S^12 ]

R97.114 :  Type {12,60}_40  Order 960  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ]

R97.115 :  Type {12,60}_20  Order 960  mV = 20  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-2 ]

R97.116 :  Type {12,60}_20  Order 960  mV = 15  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^10 * R * S^-3 * R * S^7 ]

R97.117 :  Type {15,30}_8  Order 960  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^3 * R^-1, R^-15 ]

R97.118 :  Type {15,30}_4  Order 960  mV = 6  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^-15 ]

R97.119 :  Type {15,30}_8  Order 960  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2, R^-15 ]

R97.120 :  Type {16,16}_16  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^16, S^16 ]

R97.121 :  Type {16,16}_16  Order 1024  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
(R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^16 ]

R97.122 :  Type {16,16}_16  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^-16, S^16 ]

R97.123 :  Type {16,16}_16  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R^5 * S * R^-3, S^16 ]

R97.124 :  Type {16,16}_16  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ]

R97.125 :  Type {16,16}_16  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^2 * R^7 * S^-4 * R * S^2 ]

R97.126 :  Type {16,16}_16  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ]

R97.127 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ]

R97.128 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
(R * S^-3)^2, S^2 * R^8 * S^6 ]

R97.129 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S * R^6 * S * R^-1 * S^2 * R^-1, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^-2 * S^2 * R^-1 * S * R^-5 * S * R^-1 * S^2 * R^-1 ]

R97.130 :  Type {16,16}_16  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R * S^-1 * R^4 * S^2 * R^-3, S^2 * R^7 * S^-4 * R * S^2 ]

R97.131 :  Type {16,16}_16  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^-1 * S^2 * R^-8 * S * R^-1 * S^3 ]

R97.132 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1,
S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^-1 * S * R^5 * S^-4 * R * S^2 ]

R97.133 :  Type {16,16}_16  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 
(R * S^-3)^2, R * S^-1 * R^-1 * S * R^6 * S^6 ]

R97.134 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^-3 * S * R^4 * S^3 * R^-1 * S^-2, R^-1 * S * R^-3 * S * R^-5 * S * R^-3 * S ]

R97.135 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^5 * S * R^-3, R^-1 * S * R * S^-2 * R^-3 * S * R^-1 * S^-4 ]

R97.136 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, 
S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R97.137 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, 
R^-1 * S^2 * R^-8 * S * R^-1 * S^3 ]

R97.138 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^5 * S * R^-3, 
S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ]

R97.139 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^5 * S * R^-3, 
S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ]

R97.140 :  Type {16,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^2 * R^8 * S^6 ]

R97.141 :  Type {16,16}_16  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^2 * R^-2 * S^-1,
S^-1 * R^2 * S^-2 * R^2 * S^-5 ]

R97.142 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, 
S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1 ]

R97.143 :  Type {16,16}_8  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^5 * S * R^-1 * S^-2 * R ]

R97.144 :  Type {16,16}_8  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^5 * S * R^-3, S * R * S^-3 * R^2 * S^4 * R^-1 ]

R97.145 :  Type {16,16}_8  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-2 * S * R^-11 * S * R^-1 ]

R97.146 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S * R^-1 * S^2 ]

R97.147 :  Type {16,16}_8  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^2, 
S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1 ]

R97.148 :  Type {16,16}_8  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^3 * S * R^-2 * S ]

R97.149 :  Type {16,16}_8  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ]

R97.150 :  Type {16,16}_4  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
(R * S^-1)^4, S * R^6 * S^2 * R^-2 * S ]

R97.151 :  Type {16,16}_4  Order 1024  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
(R * S^-3)^2, S * R^6 * S^2 * R^-2 * S ]

R97.152 :  Type {16,16}_4  Order 1024  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-2 * R^2 * S^5, R^-1 * S * R^-1 * S^2 * R^-6 * S^3 * R^-2 ]

R97.153 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^5 * S * R^-1 * S^-2 * R, 
S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ]

R97.154 :  Type {16,16}_4  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S^2 * R^-1 * S * R^-7 * S^3 ]

R97.155 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-1 * S * R^-3 * S * R^-5 * S * R^-3 * S ]

R97.156 :  Type {16,16}_4  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ]

R97.157 :  Type {16,16}_4  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4 ]

R97.158 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1,
S * R^6 * S^2 * R^-2 * S, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ]

R97.159 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, S * R^6 * S^2 * R^-2 * S ]

R97.160 :  Type {16,16}_8  Order 1024  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ]

R97.161 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, 
S^-1 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R ]

R97.162 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ]

R97.163 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, 
S * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S, R^-2 * S * R^-11 * S * R^-1 ]

R97.164 :  Type {16,16}_8  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, 
R * S^-2 * T * R^-8 * S^2 * R^-2 * T * R ]

R97.165 :  Type {16,16}_16  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ]

R97.166 :  Type {16,16}_16  Order 1024  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ]

R97.167 :  Type {16,112}_28  Order 896  mV = 56  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^14 * R * S^-1 * R * S^13 ]

R97.168 :  Type {16,112}_56  Order 896  mV = 56  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^14 * R * S^-1 * R * S^13 ]

R97.169 :  Type {16,112}_56  Order 896  mV = 56  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^14 * R * S^-5 * R * S^9 ]

R97.170 :  Type {16,112}_28  Order 896  mV = 56  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^14 * R * S^-5 * R * S^9 ]

R97.171 :  Type {20,20}_6  Order 960  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2 ]

R97.172 :  Type {20,20}_6  Order 960  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^6 * S * R^-4, S^-3 * R^4 * S * R^-1 * S * R^-1 * S^-1 ]

R97.173 :  Type {24,72}_36  Order 864  mV = 36  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^9 * R^5 * S^-5 * R^-1 * S^4 ]

R97.174 :  Type {24,72}_36  Order 864  mV = 24  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-21 * S, S^9 * R * S^-2 * R * S^7 ]

R97.175 :  Type {24,72}_18  Order 864  mV = 36  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, 
S^9 * R^5 * S^-6 * R * S^3 ]

R97.176 :  Type {24,72}_18  Order 864  mV = 24  mF = 12   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-21 * S, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ]

R97.177 :  Type {28,28}_8  Order 896  mV = 7  mF = 7  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * S^-8 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ]

R97.178 :  Type {36,36}_12  Order 864  mV = 6  mF = 18   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-3 * S^2 * R^-1 * S^2 * R^-25 * S ]

R97.179 :  Type {51,102}_4  Order 816  mV = 34  mF = 17   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-2 * S^30 * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 ]

R97.180 :  Type {52,52}_4  Order 832  mV = 13  mF = 13  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^22 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R^2 ]

R97.181 :  Type {100,100}_4  Order 800  mV = 50  mF = 50  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^57 * R^-8 * S^2 * R^-1 * S^2 * R^-28 * S ]

R97.182 :  Type {195,390}_2  Order 780  mV = 390  mF = 195   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^91 * T * R^2 * T * S * R^-1 * T * S^-1 * R^9 * T * R^-3 * T * R * S^-1 * T * R^-84 ]

R97.183 :  Type {196,196}_2  Order 784  mV = 196  mF = 196  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * T * R^-3 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-92 * R ]

R97.184 :  Type {388,388}_2  Order 776  mV = 388  mF = 388  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * S * R^-1 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-92 * R ]


R98.1 :  Type {4,198}_396  Order 1584  mV = 99  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^198 ]

R98.2 :  Type {4,392}_392  Order 1568  mV = 392  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^98 * R^2 * S^98 ]

R98.3 :  Type {6,100}_300  Order 1200  mV = 50  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^100 ]

R98.4 :  Type {6,294}_98  Order 1176  mV = 294  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^49 * R^2 * S^49 ]

R98.5 :  Type {8,132}_264  Order 1056  mV = 66  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^33 * R^3 * S^-5 * R^-1 * S^28 ]

R98.6 :  Type {10,245}_98  Order 980  mV = 245  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-25 * R * S^2 * R^-1 * S^-22 ]

R98.7 :  Type {12,80}_240  Order 960  mV = 40  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^20 * R^5 * S^-2 * R * S^18 ]

R98.8 :  Type {16,30}_240  Order 960  mV = 15  mF = 8   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^30 ]

R98.9 :  Type {20,110}_44  Order 880  mV = 55  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^11 * S^-4 * R * S^-1, S^11 * R * S^-5 * R * S^6 ]

R98.10 :  Type {28,32}_224  Order 896  mV = 16  mF = 14   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * T * S^4 * T * S^-1 * R^-13 * S^6 * R^-1 * S^-2 ]

R98.11 :  Type {30,210}_14  Order 840  mV = 210  mF = 15   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, R^23 * S^-2 * R * S^-2 * R^2 ]

R98.12 :  Type {42,70}_30  Order 840  mV = 35  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R * S^-1 * R^-7 * S^-1 * R^4, R^9 * S^-1 * R^3 * S^-1, S^-2 * R^-1 * S^3 * R^4 * S^3 * R^-1 * S^-2 ]

R98.13 :  Type {58,203}_14  Order 812  mV = 203  mF = 29   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^5 * R^-22 * S^2 ]

R98.14 :  Type {68,102}_12  Order 816  mV = 51  mF = 34   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, S^3 * R^-1 * S * R^-1 * S^2 * R^-24 * S^2 ]

R98.15 :  Type {100,200}_8  Order 800  mV = 200  mF = 50   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S * R^-1 * S^6 * R^-8 * S^2 * R^-1 * S^2 * R^-28 * S ]

R98.16 :  Type {197,394}_2  Order 788  mV = 394  mF = 197   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^93 * R^-1 * S * R^-1 * T * S^-1 * R^9 * T * R^-3 * T * R^3 * T * R^-83 * S ]

R98.17 :  Type {198,198}_2  Order 792  mV = 198  mF = 198  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^85 * T * R^-3 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-3 * T * S^-92 ]

R98.18 :  Type {392,392}_2  Order 784  mV = 392  mF = 392  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * T * R^-3 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-93 ]


R99.1 :  Type {3,12}_56  Order 4704  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ]

R99.2 :  Type {3,14}_42  Order 4116  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 ]

R99.3 :  Type {4,8}_56  Order 3136  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^14 ]

R99.4 :  Type {4,8}_56  Order 3136  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ]

R99.5 :  Type {4,12}_42  Order 2352  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, 
R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 ]

R99.6 :  Type {4,102}_102  Order 1632  mV = 34  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^102 ]

R99.7 :  Type {4,200}_200  Order 1600  mV = 100  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^200 ]

R99.8 :  Type {4,200}_200  Order 1600  mV = 100  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^50 * R * S^-1 * R * S^49 ]

R99.9 :  Type {4,396}_198  Order 1584  mV = 396  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^99 * R^2 * S^99 ]

R99.10 :  Type {6,52}_78  Order 1248  mV = 13  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^13 * R^2 * S^2 * R^-1 * S^-1 * R * S^10 ]

R99.11 :  Type {7,14}_14  Order 1372  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R ]

R99.12 :  Type {8,8}_28  Order 1568  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * T * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 ]

R99.13 :  Type {8,8}_14  Order 1568  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R * S^-3 * R * S^-1 * R^-3 * S^-1 * R * S^-3, R^-1 * S * R * S^-1 * R^3 * S^-1 * R^4 * S^-1 * R * S^2 ]

R99.14 :  Type {8,8}_14  Order 1568  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * T * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S ]

R99.15 :  Type {8,12}_6  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R * S^-1 * R * S^4, R * S^-2 * R^4 * S^2 * R^-2 * S^-1 ]

R99.16 :  Type {8,12}_6  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, R^2 * S^-2 * R^3 * S^3 * R^-1 * S^-1 ]

R99.17 :  Type {8,12}_4  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-3 * R^3 * S * R^-2 * S^-1 * R ]

R99.18 :  Type {8,12}_4  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R^3 * S^-1)^3, R * S^-3 * R^3 * S^-3 * R * S^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 ]

R99.19 :  Type {8,68}_136  Order 1088  mV = 34  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^68 ]

R99.20 :  Type {8,68}_136  Order 1088  mV = 17  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^68 ]

R99.21 :  Type {8,264}_132  Order 1056  mV = 264  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^33 * R * S^-2 * R * S^31 ]

R99.22 :  Type {8,264}_66  Order 1056  mV = 264  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^33 * R^2 * S^33 ]

R99.23 :  Type {12,12}_14  Order 1176  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S ]

R99.24 :  Type {12,120}_40  Order 960  mV = 60  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^10 * R^3 * S^-2 * R * S^8 ]

R99.25 :  Type {12,120}_40  Order 960  mV = 60  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^20 * R * S^-1 * R * S^19 ]

R99.26 :  Type {14,35}_70  Order 980  mV = 5  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-35 ]

R99.27 :  Type {14,231}_66  Order 924  mV = 231  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-17 * R^2 * S^-16 ]

R99.28 :  Type {15,40}_6  Order 960  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^-3 * S^-5 ]

R99.29 :  Type {20,24}_120  Order 960  mV = 12  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^24 ]

R99.30 :  Type {20,24}_120  Order 960  mV = 12  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^5 * R * S^-1 * R * S^6, R^20 ]

R99.31 :  Type {20,220}_22  Order 880  mV = 220  mF = 10   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^11 * S^-4 * R * S^-1, S^11 * R^2 * S^11 ]

R99.32 :  Type {27,108}_8  Order 864  mV = 36  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^8 * S^-1 * R^2 * S^-1 * T * R^-2 * S * R^-9 * T * R^2 * S^-1 ]

R99.33 :  Type {38,209}_22  Order 836  mV = 209  mF = 19   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^8 * S^-6 ]

R99.34 :  Type {46,207}_18  Order 828  mV = 207  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^7 * R^-14 * S^2 ]

R99.35 :  Type {52,104}_8  Order 832  mV = 52  mF = 26   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^38 * S^-2 * R * S^-2 * R^9 ]

R99.36 :  Type {52,104}_8  Order 832  mV = 52  mF = 13   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R * S^-1 * R^8 * S^-8 * R^5 * S^-1 * R^12 * S^-1 * R * S^-2 * R^4 * S^-7 * R ]

R99.37 :  Type {68,204}_6  Order 816  mV = 204  mF = 34   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^53 * S^-1 * R^2 * S^-1 * R * S^-2 * R^8 ]

R99.38 :  Type {102,102}_4  Order 816  mV = 34  mF = 34  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^84 * S^-2 * R^14 ]

R99.39 :  Type {134,201}_6  Order 804  mV = 201  mF = 67   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^23 * R^-8 * S^2 * R^-1 * S * R^-2 * S * R^-26 * S ]

R99.40 :  Type {199,398}_2  Order 796  mV = 398  mF = 199   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^178 * T * S * R^-1 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-3 * T ]

R99.41 :  Type {200,200}_4  Order 800  mV = 200  mF = 200  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^58 * R^-8 * S^2 * R^-1 * S^2 * R^-29 ]

R99.42 :  Type {200,200}_2  Order 800  mV = 200  mF = 200  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^180 * T * R^2 * T * S^2 * T * R^10 * T * R^-3 * T * R^3 * T ]

R99.43 :  Type {396,396}_2  Order 792  mV = 396  mF = 396  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^85 * T * R^-3 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-3 * T * S^-91 * R ]


R100.1 :  Type {3,72}_12  Order 2592  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-8 * R^-1 * S^11 * R^-1 * S^-5 ]

R100.2 :  Type {4,10}_6  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S^10, 
S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ]

R100.3 :  Type {4,10}_12  Order 2640  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^10, S * R * S^-1 * R^-1 * S^3 * R * S^-2 * R * S * R^-1 * S^-3 * R * S^3 ]

R100.4 :  Type {4,15}_8  Order 2160  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-4 * R * S^5, S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 ]

R100.5 :  Type {4,22}_4  Order 1936  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-22 ]

R100.6 :  Type {4,202}_404  Order 1616  mV = 101  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^202 ]

R100.7 :  Type {4,400}_400  Order 1600  mV = 400  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^100 * R^2 * S^100 ]

R100.8 :  Type {6,36}_36  Order 1296  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ]

R100.9 :  Type {6,36}_36  Order 1296  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^36 ]

R100.10 :  Type {6,36}_36  Order 1296  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ]

R100.11 :  Type {6,36}_36  Order 1296  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^36 ]

R100.12 :  Type {6,36}_36  Order 1296  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 ]

R100.13 :  Type {6,36}_36  Order 1296  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^-1 * R^-1 * S^3 * R * S^-1 * R^2 * S^-7 ]

R100.14 :  Type {6,36}_12  Order 1296  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^-2 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-2 ]

R100.15 :  Type {6,36}_12  Order 1296  mV = 6  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 
S * R * S^-5 * R * S^6 ]

R100.16 :  Type {6,36}_36  Order 1296  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^36 ]

R100.17 :  Type {6,36}_12  Order 1296  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, 
S^-5 * R^-1 * S^5 * R^-1 * S^-2 ]

R100.18 :  Type {6,36}_36  Order 1296  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S^5 ]

R100.19 :  Type {6,36}_12  Order 1296  mV = 12  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S^-1 * R,
S^3 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^6 ]

R100.20 :  Type {6,102}_102  Order 1224  mV = 51  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^17 * R * S^-1 * R * S^16 ]

R100.21 :  Type {6,102}_102  Order 1224  mV = 34  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^102 ]

R100.22 :  Type {6,102}_102  Order 1224  mV = 51  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^102 ]

R100.23 :  Type {6,300}_100  Order 1200  mV = 300  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^50 * R * S^-1 * R * S^49 ]

R100.24 :  Type {7,16}_8  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (S * R^-1 * S)^3, (R * S^-3 * R^2)^2 ]

R100.25 :  Type {7,16}_12  Order 1344  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S * R^-1 * S * R^-3 * S * R^-1 * S^3 ]

R100.26 :  Type {8,10}_10  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, (R * S^-2 * R^2)^2, S^10, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ]

R100.27 :  Type {8,10}_6  Order 1440  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (S^-1 * R)^5 ]

R100.28 :  Type {9,12}_18  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-9, (S * R^-1 * S)^3 ]

R100.29 :  Type {9,12}_6  Order 1296  mV = 1  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-2 * R * S^-1)^2 ]

R100.30 :  Type {9,12}_18  Order 1296  mV = 1  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^12 ]

R100.31 :  Type {9,12}_6  Order 1296  mV = 1  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, (S * R^-1 * S)^3, S^12 ]

R100.32 :  Type {9,12}_18  Order 1296  mV = 1  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, S^12 ]

R100.33 :  Type {9,12}_6  Order 1296  mV = 1  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, (S * R^-1 * S)^3, S^12 ]

R100.34 :  Type {9,45}_10  Order 1080  mV = 9  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S * R * S^-4 * R * S^5, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2 ]

R100.35 :  Type {10,52}_260  Order 1040  mV = 26  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^52 ]

R100.36 :  Type {12,42}_84  Order 1008  mV = 7  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^42 ]

R100.37 :  Type {12,42}_84  Order 1008  mV = 21  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^42 ]

R100.38 :  Type {12,42}_84  Order 1008  mV = 21  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^3 * R * S^-4 * R^-1 * S^7 ]

R100.39 :  Type {12,240}_80  Order 960  mV = 240  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^20 * R * S^-4 * R * S^16 ]

R100.40 :  Type {18,27}_54  Order 972  mV = 3  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^9 * S^-4 * R * S^-1, S^-27 ]

R100.41 :  Type {18,225}_50  Order 900  mV = 225  mF = 9   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^9 * S^-4 * R * S^-1, S^-13 * R^2 * S^-12 ]

R100.42 :  Type {22,22}_22  Order 968  mV = 11  mF = 11  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^22 ]

R100.43 :  Type {22,22}_22  Order 968  mV = 11  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S^-1 * R^5 * S^-1 * R^8 * S^-1 * R^4 * S^-1 * R, R^22 ]

R100.44 :  Type {22,220}_20  Order 880  mV = 220  mF = 11   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^13 * S^-4 * R * S^-1, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ]

R100.45 :  Type {36,72}_24  Order 864  mV = 24  mF = 18   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^6 * S^-6 ]

R100.46 :  Type {36,72}_24  Order 864  mV = 36  mF = 6   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-7 * S^-1 * R^4, 
R^-1 * S^2 * R^-4 * S * R^-2 * S * R^-4 * S * R^-1 * S ]

R100.47 :  Type {42,210}_10  Order 840  mV = 210  mF = 21   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^29 * S^-2 * R * S^-2 * R^8 ]

R100.48 :  Type {52,208}_16  Order 832  mV = 208  mF = 26   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7, S^-6 * R^13 * S^-2 * R * S^-4 ]

R100.49 :  Type {69,138}_6  Order 828  mV = 69  mF = 23   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R * S^-1 * R^25 * S^-8 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-7 * R ]

R100.50 :  Type {82,205}_10  Order 820  mV = 205  mF = 41   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-3 * R^25 * S^-2 * R * S^-2 * R^6 * S^-2 ]

R100.51 :  Type {102,204}_4  Order 816  mV = 204  mF = 51   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^89 * S^-2 * R * S^-2 * R^8 ]

R100.52 :  Type {201,402}_2  Order 804  mV = 402  mF = 201   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^85 * R^-4 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-95 * S ]

R100.53 :  Type {202,202}_2  Order 808  mV = 202  mF = 202  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^98 * T * S^2 * T * R^10 * T * R^-3 * T * R^4 * S^-84 * R ]

R100.54 :  Type {400,400}_2  Order 800  mV = 400  mF = 400  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^179 * T * R^2 * T * S^2 * T * R^10 * T * R^-3 * T * R^3 * T ]


R101.1 :  Type {4,8}_40  Order 3200  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S * R^-1 ]

R101.2 :  Type {4,8}_20  Order 3200  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 ]

R101.3 :  Type {4,12}_60  Order 2400  mV = 3  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, (R * S^-1)^10 ]

R101.4 :  Type {4,20}_10  Order 2000  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R^-1 * S * R^-1 * S^3 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ]

R101.5 :  Type {4,20}_10  Order 2000  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ]

R101.6 :  Type {4,24}_20  Order 1920  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-5 * R * S^6 ]

R101.7 :  Type {4,24}_10  Order 1920  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^3 * R^-1 * S^3 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S ]

R101.8 :  Type {4,24}_40  Order 1920  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-5)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^2 ]

R101.9 :  Type {4,24}_40  Order 1920  mV = 4  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ]

R101.10 :  Type {4,54}_108  Order 1728  mV = 9  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^54 ]

R101.11 :  Type {4,104}_104  Order 1664  mV = 26  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^104 ]

R101.12 :  Type {4,104}_52  Order 1664  mV = 26  mF = 1   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^26 * R^2 * S^2 * R^-1 * S^-3 * R * S^21 ]

R101.13 :  Type {4,204}_204  Order 1632  mV = 102  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^204 ]

R101.14 :  Type {4,404}_202  Order 1616  mV = 404  mF = 2   
Defining relations for automorphism group:
[ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^101 * R^2 * S^101 ]

R101.15 :  Type {5,20}_10  Order 1600  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ]

R101.16 :  Type {6,6}_20  Order 2400  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S * R^-1 * S * R^2 * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R * S^-1 * R^-2 ]

R101.17 :  Type {6,8}_20  Order 1920  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-2 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 * S^-1 ]

R101.18 :  Type {6,8}_40  Order 1920  mV = 2  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ]

R101.19 :  Type {6,15}_10  Order 1500  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, (R^-2 * S)^5 ]

R101.20 :  Type {6,15}_10  Order 1500  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, R * S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R * S^-1, 
S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R ]

R101.21 :  Type {6,28}_84  Order 1344  mV = 7  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^28 ]

R101.22 :  Type {6,28}_16  Order 1344  mV = 4  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, R^-1 * S * R * S^-5 * R * S^-6 ]

R101.23 :  Type {6,78}_52  Order 1248  mV = 26  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^13 * R * S^-1 * R^2 * S^-1 * R * S^11 ]

R101.24 :  Type {6,303}_202  Order 1212  mV = 303  mF = 3   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-51 * R * S * R^-1 * S^-49 ]

R101.25 :  Type {8,8}_20  Order 1600  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^10 ]

R101.26 :  Type {8,8}_20  Order 1600  mV = 2  mF = 2  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ]

R101.27 :  Type {8,36}_36  Order 1152  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^36 ]

R101.28 :  Type {8,36}_36  Order 1152  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^36 ]

R101.29 :  Type {8,36}_36  Order 1152  mV = 12  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ]

R101.30 :  Type {8,36}_18  Order 1152  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R^3 * S^-3 * R * S^6 ]

R101.31 :  Type {8,36}_36  Order 1152  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^5 ]

R101.32 :  Type {8,36}_72  Order 1152  mV = 6  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^9 * R * S^-4 * R * S * R^-2 * S^4 ]

R101.33 :  Type {8,36}_72  Order 1152  mV = 9  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 ]

R101.34 :  Type {8,36}_36  Order 1152  mV = 9  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^36 ]

R101.35 :  Type {8,136}_68  Order 1088  mV = 68  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^34 * R^3 * S^-5 * R^-1 * S^29 ]

R101.36 :  Type {8,136}_68  Order 1088  mV = 68  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^34 * R * S^-1 * R * S^33 ]

R101.37 :  Type {10,15}_10  Order 1200  mV = 5  mF = 1   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, R^-2 * S * R^-4 * S * R^-2 * S^3 ]

R101.38 :  Type {10,15}_10  Order 1200  mV = 5  mF = 2   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^10, (R * S^-1 * R^3)^2, S^-1 * R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1 * R ]

R101.39 :  Type {12,12}_10  Order 1200  mV = 2  mF = 4   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2 ]

R101.40 :  Type {12,12}_10  Order 1200  mV = 3  mF = 3  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ]

R101.41 :  Type {20,20}_10  Order 1000  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, (S^-1 * R)^5 ]

R101.42 :  Type {20,20}_10  Order 1000  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S^3 * R^3 * S^3 * R^-1, (S^-1 * R)^5 ]

R101.43 :  Type {20,20}_10  Order 1000  mV = 5  mF = 5  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, (S^-1 * R)^5 ]

R101.44 :  Type {20,30}_12  Order 960  mV = 5  mF = 5   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S^-2 * R^4 * S^-4, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1 ]

R101.45 :  Type {24,24}_6  Order 960  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S^-1 * R^6 * S^-5, 
R^2 * S^-1 * R^4 * S^3 * R^-1 * S ]

R101.46 :  Type {24,24}_6  Order 960  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2,
S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2 ]

R101.47 :  Type {24,24}_6  Order 960  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^3 * S^-1 * R * S^2, S * R^-1 * S * R^3 * S * R^-1 * S^2 ]

R101.48 :  Type {24,24}_6  Order 960  mV = 4  mF = 4  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ]

R101.49 :  Type {28,56}_8  Order 896  mV = 14  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-2 ]

R101.50 :  Type {28,56}_4  Order 896  mV = 14  mF = 7   
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1,
S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^28 ]

R101.51 :  Type {54,54}_4  Order 864  mV = 18  mF = 18  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^36 * S^-1 * R * T * S * R^-11 * T * R * S^-1 * R ]

R101.52 :  Type {104,104}_4  Order 832  mV = 52  mF = 52  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-3 * R^22 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ]

R101.53 :  Type {104,104}_4  Order 832  mV = 52  mF = 52  Self-dual 
Defining relations for automorphism group:
[ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^90 * S^-2 * R * S^-2 * R^9 ]

R101.54 :  Type {203,406}_2  Order 812  mV = 406  mF = 203   
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^88 * R^-17 * T * S^-2 * T * R^-95 ]

R101.55 :  Type {204,204}_2  Order 816  mV = 204  mF = 204  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^92 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-89 * R ]

R101.56 :  Type {404,404}_2  Order 808  mV = 404  mF = 404  Self-dual 
Defining relations for automorphism group:
[ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^98 * T * S^2 * T * R^10 * T * R^-3 * T * R^4 * S^-85 ]


Total number of maps in list above:  3378



