Regular orientable maps of genus 2 to 301 ----------------------------------------- Below is a list of all fully regular (rotary and reflexible) maps on on orientable surfaces of genus 2 to 301, up to isomorphism and duality. The notation "Rg.n" is used for the nth regular orientable map of genus g. These were found by Marston Conder (University of Auckland) in 2011 with the help of the "LowIndexNormalSubgroups" routine in Magma, and the list extends the list of those of genus 2 to 101 which he found in 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, and Marston Conder, Regular maps and hypermaps of Euler characteristic -1 to -200, J. Combinatorial Theory, Series B, 99 (2009), 455-459. Total number of maps in list below: 15824 Marston Conder August 2012 [plus one correction made for genus 301 on 18 February 2013, after Primoz Potocnik discovered a small bug in the LowIndexNormalSubgroups routine that meant quotients isomorphic to the wreath product A_5 \wr S_2 (and covers of this group) had been omitted -- specifically, the maps R301.4 and R301.5 (below) were added, and others of genus 301 re-numbered] Genus 2 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 ] Genus 3 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 ] Genus 4 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 ] Genus 5 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 ] Genus 6 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 ] Genus 7 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 ] Genus 8 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 ] Genus 9 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 ] Genus 10 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 ] Genus 11 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 ] Genus 12 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 ] Genus 13 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 ] Genus 14 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 ] Genus 15 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 ] Genus 16 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 ] Genus 17 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 ] Genus 18 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 ] Genus 19 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 ] Genus 20 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 ] Genus 21 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 ] Genus 22 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 ] Genus 23 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 ] Genus 24 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 ] Genus 25 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 ] Genus 26 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 ] Genus 27 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 ] Genus 28 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 ] Genus 29 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 ] Genus 30 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 ] Genus 31 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 ] Genus 32 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 ] Genus 33 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 ] Genus 34 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 ] Genus 35 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 ] Genus 36 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 ] Genus 37 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 ] Genus 38 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 ] Genus 39 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 ] Genus 40 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 ] Genus 41 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 ] Genus 42 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 ] Genus 43 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 ] Genus 44 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 ] Genus 45 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 ] Genus 46 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 ] Genus 47 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 ] Genus 48 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 ] Genus 49 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 ] Genus 50 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 ] Genus 51 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 ] Genus 52 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 ] Genus 53 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 ] Genus 54 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 ] Genus 55 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 ] Genus 56 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 ] Genus 57 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 ] Genus 58 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 ] Genus 59 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 ] Genus 60 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 ] Genus 61 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 ] Genus 62 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 ] Genus 63 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 ] Genus 64 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 ] Genus 65 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 ] Genus 66 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 ] Genus 67 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 ] Genus 68 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 ] Genus 69 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 ] Genus 70 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 ] Genus 71 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 ] Genus 72 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 ] Genus 73 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 ] Genus 74 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 ] Genus 75 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 ] Genus 76 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 ] Genus 77 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 ] Genus 78 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 ] Genus 79 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 ] Genus 80 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 ] Genus 81 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 ] Genus 82 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 ] Genus 83 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 ] Genus 84 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 ] Genus 85 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 ] Genus 86 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 ] Genus 87 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 ] Genus 88 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 ] Genus 89 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 ] Genus 90 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 ] Genus 91 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 ] Genus 92 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 ] Genus 93 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 ] Genus 94 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 ] Genus 95 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 ] Genus 96 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 ] Genus 97 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 ] Genus 98 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 ] Genus 99 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 ] Genus 100 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 ] Genus 101 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 ] Genus 102 R102.1 : Type {4,105}_210 Order 1680 mV = 35 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-105 ] R102.2 : Type {4,206}_412 Order 1648 mV = 103 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^206 ] R102.3 : Type {4,408}_408 Order 1632 mV = 408 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^102 * R^2 * S^102 ] R102.4 : Type {6,104}_312 Order 1248 mV = 52 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^104 ] R102.5 : Type {8,70}_280 Order 1120 mV = 35 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^70 ] R102.6 : Type {10,255}_102 Order 1020 mV = 255 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^-26 * R * S^3 * R^-1 * S^-22 ] R102.7 : Type {14,36}_252 Order 1008 mV = 18 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^36 ] R102.8 : Type {14,238}_34 Order 952 mV = 238 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 * S^-2 * R * S^15 ] R102.9 : Type {16,60}_240 Order 960 mV = 30 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^15 * R^-6 * S^6 * R^-1 * S^-1 * R * S^8 ] R102.10 : Type {26,221}_34 Order 884 mV = 221 mF = 13 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^-21 * S * R^-1, S^-9 * R * S^2 * R^-1 * S^-6 ] R102.11 : Type {70,210}_6 Order 840 mV = 210 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, R^54 * S^-1 * R^2 * S^-1 * R * S^-2 * R^9 ] R102.12 : Type {105,105}_4 Order 840 mV = 35 mF = 35 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^87 * S^-2 * R^14 ] R102.13 : Type {205,410}_2 Order 820 mV = 410 mF = 205 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^90 * R^-16 * T * S^-2 * T * R^-3 * S * R^-91 * S ] R102.14 : Type {206,206}_2 Order 824 mV = 206 mF = 206 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^95 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-89 ] R102.15 : Type {408,408}_2 Order 816 mV = 408 mF = 408 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^-90 ] Genus 103 R103.1 : Type {3,8}_16 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1, S * R * S^-2 * R * S^-4 * R * S^-2 * R * S^-1 * R * S^4 * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 ] R103.2 : Type {3,8}_18 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R103.3 : Type {4,21}_24 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2, S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R ] R103.4 : Type {4,208}_208 Order 1664 mV = 104 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^52 * R * S^-1 * R * S^51 ] R103.5 : Type {4,208}_208 Order 1664 mV = 104 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^208 ] R103.6 : Type {4,412}_206 Order 1648 mV = 412 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^103 * R^2 * S^103 ] R103.7 : Type {6,20}_60 Order 1440 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-6 * R^3 * S^-4, (R * S^-3 * R * S^-2)^2 ] R103.8 : Type {6,105}_210 Order 1260 mV = 35 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-105 ] R103.9 : Type {6,309}_206 Order 1236 mV = 309 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-52 * R^2 * S^-51 ] R103.10 : Type {8,14}_4 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R * S^-1)^2, (R * S^-3 * R^2)^2, (S^-1 * R^2 * S^-1)^3 ] R103.11 : Type {8,14}_6 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-1 * R)^4 ] R103.12 : Type {8,14}_16 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-5 * R^4 * S^-2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R103.13 : Type {8,48}_16 Order 1152 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, R^-1 * S * R * S^-4 * R^-1 * S^4 * R^-1 * S ] R103.14 : Type {8,48}_16 Order 1152 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, (R * S^-1)^6 ] R103.15 : Type {12,16}_16 Order 1152 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 * S * R^-1 * S^-1, R^12, R^-2 * S * R * S^-2 * R^-3 * S * R^-1 * S^-2 * R * S^2 ] R103.16 : Type {12,16}_16 Order 1152 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, S^16 ] R103.17 : Type {12,33}_88 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^3 * R^3 * S^-1 * R^-3 * S^7 ] R103.18 : Type {12,84}_42 Order 1008 mV = 28 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^21 * R * S^-2 * R * S^19 ] R103.19 : Type {12,84}_42 Order 1008 mV = 42 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^-1 * S^-4 * R^-5 * S^7 ] R103.20 : Type {12,84}_42 Order 1008 mV = 42 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^21 * R^6 * S^21 ] R103.21 : Type {21,21}_6 Order 1008 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (S * R^-1 * S)^3, S^-2 * R^-4 * S^-2 * R^3 ] R103.22 : Type {28,112}_16 Order 896 mV = 56 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^-2 * R^3 * S^5, R^-1 * S^8 * R^-10 * S * R^-5 * S * R^-2 ] R103.23 : Type {28,112}_16 Order 896 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-2 * S * R^-1 * S * R^-23 ] R103.24 : Type {54,108}_8 Order 864 mV = 36 mF = 18 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 * S^-1 * R^6 * S^-1 * R^2 * S^-1 * T * R^-2 * S * R^-9 * T * R * S^-2 ] R103.25 : Type {72,72}_6 Order 864 mV = 36 mF = 24 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^28 * S^-8 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-7 * R ] R103.26 : Type {72,72}_12 Order 864 mV = 36 mF = 24 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^-3 * S * R^-6 * S * R^-13 * S * R^-5 * S^5 * R^-1 ] R103.27 : Type {207,414}_2 Order 828 mV = 414 mF = 207 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^97 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-87 * R ] R103.28 : Type {208,208}_2 Order 832 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^186 * T * R^3 * T * S^2 * T * R^16 * T ] R103.29 : Type {208,208}_4 Order 832 mV = 208 mF = 208 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^89 * S^-2 * R * S^-2 * R^8 * S^-1 ] R103.30 : Type {412,412}_2 Order 824 mV = 412 mF = 412 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^95 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-88 * R ] Genus 104 R104.1 : Type {4,210}_420 Order 1680 mV = 105 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^210 ] R104.2 : Type {4,416}_416 Order 1664 mV = 416 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^104 * R^2 * S^104 ] R104.3 : Type {6,106}_318 Order 1272 mV = 53 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^106 ] R104.4 : Type {6,312}_104 Order 1248 mV = 312 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^52 * R^2 * S^52 ] R104.5 : Type {8,140}_280 Order 1120 mV = 70 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^35 * R^4 * S^35 ] R104.6 : Type {10,54}_270 Order 1080 mV = 27 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^54 ] R104.7 : Type {10,260}_52 Order 1040 mV = 260 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^26 * R^2 * S^26 ] R104.8 : Type {18,28}_252 Order 1008 mV = 14 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^28 ] R104.9 : Type {18,234}_26 Order 936 mV = 234 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 * S^-3 * R * S^10 ] R104.10 : Type {20,48}_240 Order 960 mV = 24 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^12 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^3 ] R104.11 : Type {28,224}_32 Order 896 mV = 224 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^8 * R^2 * S^8 ] R104.12 : Type {34,221}_26 Order 884 mV = 221 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^-6 * R^4 * S^-7 ] R104.13 : Type {44,110}_20 Order 880 mV = 55 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^7 * R^-12 * S^3 ] R104.14 : Type {54,216}_8 Order 864 mV = 216 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^-3 * R * S^4, R^-1 * S^8 * R^-9 * S^2 * R^-1 * S^2 * R^-31 ] R104.15 : Type {106,212}_4 Order 848 mV = 212 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^-1 * R * S^2, R^92 * S^-2 * R * S^-2 * R^9 ] R104.16 : Type {209,418}_2 Order 836 mV = 418 mF = 209 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^188 * T * R^3 * T * S^2 * T * R^16 * T ] R104.17 : Type {210,210}_2 Order 840 mV = 210 mF = 210 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^188 * T * R^3 * T * S^2 * T * R^16 * T ] R104.18 : Type {416,416}_2 Order 832 mV = 416 mF = 416 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^187 * T * R^3 * T * S^2 * T * R^16 * T ] Genus 105 R105.1 : Type {3,14}_12 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, (S * R^-1 * S)^6, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] R105.2 : Type {3,14}_12 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-6)^2, (S * R^-1 * S)^6 ] R105.3 : Type {3,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^3 * R^-1 * S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S ] R105.4 : Type {3,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3, S^2 * R^-1 * S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S ] R105.5 : Type {3,14}_14 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-6)^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 ] R105.6 : Type {3,14}_26 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-6)^2, S^-1 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 * R^-1 * S^-3 * R * S^-2 ] R105.7 : Type {3,32}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^32 ] R105.8 : Type {4,30}_30 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^30 ] R105.9 : Type {4,30}_30 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^30 ] R105.10 : Type {4,30}_60 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-2 * R^-1 * S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-7 ] R105.11 : Type {4,30}_120 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^30 ] R105.12 : Type {4,56}_28 Order 1792 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^14 * R^2 * S * R^-1 * S^-1 * R * S^12 ] R105.13 : Type {4,56}_56 Order 1792 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^14 * R^2 * S * R^-1 * S^-5 * R * S^8 ] R105.14 : Type {4,56}_56 Order 1792 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^56 ] R105.15 : Type {4,56}_56 Order 1792 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^14 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^9 ] R105.16 : Type {4,108}_54 Order 1728 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^27 * R * S^-2 * R * S^25 ] R105.17 : Type {4,108}_108 Order 1728 mV = 27 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^108 ] R105.18 : Type {4,108}_108 Order 1728 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^108 ] R105.19 : Type {4,212}_212 Order 1696 mV = 106 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^212 ] R105.20 : Type {4,420}_210 Order 1680 mV = 420 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^105 * R^2 * S^105 ] R105.21 : Type {6,7}_4 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, 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)^7 ] R105.22 : Type {6,7}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3 ] R105.23 : Type {6,7}_26 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1 ] R105.24 : Type {6,16}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3, S^-2 * R^-2 * S * R * S^-1 * R^3 * S^-4 ] R105.25 : Type {6,16}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R105.26 : Type {6,16}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^5 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^5 ] R105.27 : Type {6,16}_6 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, 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^16 ] R105.28 : Type {6,16}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-2 * R^-2 * S * R * S^-1 * R^3 * S^-4 ] R105.29 : Type {6,16}_12 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^16 ] R105.30 : Type {6,16}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^2 * R^2 * S^-1 * R^2 * S^5, S^2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^2 ] R105.31 : Type {6,16}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2 ] R105.32 : Type {6,16}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^3 ] R105.33 : Type {6,16}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-2 ] R105.34 : Type {6,16}_48 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^16 ] R105.35 : Type {6,42}_56 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^-1 * S * R * S^-4 * R^2 * S^-4 * R * S * R^-1 * S^-2 ] R105.36 : Type {8,20}_10 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^4 * R^3 * S^4 * R^-1, S * R * S^-4 * R * S^5 ] R105.37 : Type {8,20}_10 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, R^-1 * S^5 * R^-3 * S^-5 ] R105.38 : Type {8,20}_20 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R^-1 * S^5 * R^-3 * S^-5 ] R105.39 : Type {8,20}_20 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^4 * R^3 * S^4 * R^-1, S * R * S^-4 * R * S^5 ] R105.40 : Type {8,20}_20 Order 1280 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 ] R105.41 : Type {8,20}_40 Order 1280 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^20 ] R105.42 : Type {8,20}_40 Order 1280 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, 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^20 ] R105.43 : Type {8,20}_40 Order 1280 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^20 ] R105.44 : Type {8,72}_18 Order 1152 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R^3 * S^-3 * R * S^6 ] R105.45 : Type {8,72}_36 Order 1152 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, 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^18 * R^4 * S^18 ] R105.46 : Type {8,72}_36 Order 1152 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ] R105.47 : Type {8,72}_72 Order 1152 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^18 * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 * R * S^11 ] R105.48 : Type {8,72}_72 Order 1152 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, 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^18 * R^3 * S^-2 * R * S^16 ] R105.49 : Type {8,72}_72 Order 1152 mV = 18 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^72 ] R105.50 : Type {8,72}_72 Order 1152 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^18 * R^4 * S^18 ] R105.51 : Type {8,72}_72 Order 1152 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^18 * R * S^-2 * R * S^16 ] R105.52 : Type {8,72}_72 Order 1152 mV = 36 mF = 2 Defining relations for automorphism group: [ R^8, 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^18 * R * S^-1 * R * S^17 ] R105.53 : Type {8,72}_72 Order 1152 mV = 36 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^72 ] R105.54 : Type {8,280}_70 Order 1120 mV = 280 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^35 * R * S^-2 * R * S^33 ] R105.55 : Type {8,280}_140 Order 1120 mV = 280 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^35 * R^2 * S^35 ] R105.56 : Type {9,36}_8 Order 1152 mV = 6 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, S^-5 * R^-2 * S^-5 * R ] R105.57 : Type {12,44}_132 Order 1056 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^44 ] R105.58 : Type {16,32}_32 Order 1024 mV = 4 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^8 * R^3 * S^-2 * R * S^6 ] R105.59 : Type {16,32}_32 Order 1024 mV = 4 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^-5 * R^-1 * S^2 * R^-2 * S^4 * R^-1 * S^-5 ] R105.60 : Type {16,32}_32 Order 1024 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^32 ] R105.61 : Type {16,32}_32 Order 1024 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, R^-1 * S^4 * R^-7 * S^4, S^32 ] R105.62 : Type {16,32}_32 Order 1024 mV = 8 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^-8 * R^2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R105.63 : Type {16,32}_32 Order 1024 mV = 8 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^16, S^-6 * R^-1 * S^2 * R^-2 * S^6 * R^-5 * S^-2 ] R105.64 : Type {16,32}_32 Order 1024 mV = 8 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^8 * R * S^-3 * R * S^5 ] R105.65 : Type {16,32}_32 Order 1024 mV = 8 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^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R105.66 : Type {16,32}_32 Order 1024 mV = 8 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^16, S^-6 * R^-1 * S^2 * R^-2 * S^5 * R^5 * S^-3 ] R105.67 : Type {16,32}_32 Order 1024 mV = 8 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, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R105.68 : Type {16,32}_32 Order 1024 mV = 8 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, S * R * S^-1 * R^-1 * S * R^2 * S^5 ] R105.69 : Type {16,32}_32 Order 1024 mV = 8 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R105.70 : Type {16,32}_32 Order 1024 mV = 8 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S^5 ] R105.71 : Type {16,32}_32 Order 1024 mV = 8 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^32 ] R105.72 : Type {16,32}_32 Order 1024 mV = 16 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^16 ] R105.73 : Type {16,32}_32 Order 1024 mV = 16 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^-1 * S * R^-3 * S * R^-4 * S * R^-2 * S^3, R^16 ] R105.74 : Type {16,32}_32 Order 1024 mV = 16 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^16, S^8 * R * S^-1 * R * S^7 ] R105.75 : Type {16,32}_32 Order 1024 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^32 ] R105.76 : Type {16,240}_30 Order 960 mV = 240 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^15 * R * S^-6 * R * S^9 ] R105.77 : Type {16,240}_60 Order 960 mV = 240 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^15 * R * S^-2 * R * S^13 ] R105.78 : Type {20,60}_6 Order 960 mV = 20 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 * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-1 * R^2 * S^-1 * R * S^-2 * R^5 * S^-1 * R^2 * S^-1 * R * S^-2 ] R105.79 : Type {20,60}_12 Order 960 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2, R * S^-3 * R * S^-1 * R^10 * S^-2 * R^2 ] R105.80 : Type {20,60}_12 Order 960 mV = 20 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, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R105.81 : Type {22,231}_42 Order 924 mV = 231 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^-11 * R * S^5 * R^-1 * S^-5 ] R105.82 : Type {24,40}_10 Order 960 mV = 8 mF = 8 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^2 * R^-1 * S^-1, (S^-2 * R * S^-1)^3 ] R105.83 : Type {24,40}_10 Order 960 mV = 8 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^-2 * R^3 * S^-3, R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 ] R105.84 : Type {24,40}_20 Order 960 mV = 8 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^-1 * R)^5, S^3 * R * S^-1 * R^2 * S^3 * R^-1 * S ] R105.85 : Type {24,40}_20 Order 960 mV = 8 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^2 * R^3 * S^3 ] R105.86 : Type {24,40}_60 Order 960 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^11 * S * R^-1 * S, S^10 * R * S^-1 * R * S^9 ] R105.87 : Type {24,40}_60 Order 960 mV = 20 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-5 * T * S^2 * T * S^-3 * R^-9 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R105.88 : Type {30,30}_4 Order 960 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 * R^-1 * S * R^-1, R^-15 * S^2 * R^-10 * S^2 * R^-1 ] R105.89 : Type {30,30}_4 Order 960 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^4, R^-2 * S * R^-1 * S^12 * R^-1 * S * R^-8 * S^3 * R^-1 ] R105.90 : Type {30,30}_8 Order 960 mV = 5 mF = 5 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 * S^-12 * R * S^-1 * R^3 * S^-1 * R^8 * S^-1 * R * S^-1 ] R105.91 : Type {30,30}_8 Order 960 mV = 6 mF = 6 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^-8 * S * R^-1 * S^3 * R^-1 * S ] R105.92 : Type {32,224}_14 Order 896 mV = 224 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^-6 * R^-1 * S^6 * R^-1 * S^-2, R^-1 * S * R^-2 * S * R^-1 * S * R^-24 * S ] R105.93 : Type {32,224}_28 Order 896 mV = 224 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^-7 * R^2 * S^-7 ] R105.94 : Type {44,220}_10 Order 880 mV = 220 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^-4 * R * S^5, R^-1 * S * R^-8 * S * R^-1 * S * R^-30 * S ] R105.95 : Type {56,56}_4 Order 896 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^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^26 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R^2 ] R105.96 : Type {56,56}_8 Order 896 mV = 14 mF = 14 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^4 * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-5 * S * R^-1 * S ] R105.97 : Type {56,56}_8 Order 896 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^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R * S^-2 * R * S^-5 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ] R105.98 : Type {56,56}_8 Order 896 mV = 28 mF = 14 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^13 * S^-9 * R^5 * S^-1 * R^12 * S^-1 * R * S^-2 * R^4 * S^-7 * R ] R105.99 : Type {56,56}_8 Order 896 mV = 28 mF = 28 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^3 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-1 * S ] R105.100 : Type {62,217}_14 Order 868 mV = 217 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^-5 * R^18 * S^-1 * R * S^-1 * R^3 * S^-2 ] R105.101 : Type {86,215}_10 Order 860 mV = 215 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^-4 * R * S^5, S^3 * R^-5 * S^2 * R^-1 * S^2 * R^-28 * S^2 ] R105.102 : Type {108,108}_4 Order 864 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^37 * S^-1 * R * T * S * R^-11 * T * R^2 * S^-1 ] R105.103 : Type {108,108}_4 Order 864 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^2, R * S^-1 * R^89 * S^-2 * R^14 * S^-1 ] R105.104 : Type {108,108}_4 Order 864 mV = 54 mF = 54 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^94 * S^-2 * R * S^-2 * R^9 ] R105.105 : Type {142,213}_6 Order 852 mV = 213 mF = 71 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^53 * S^-1 * R^2 * S^-1 * R * S^-2 * R^8 * S^-1 ] R105.106 : Type {211,422}_2 Order 844 mV = 422 mF = 211 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^190 * T * R^3 * T * S^2 * T * R^16 * T ] R105.107 : Type {212,212}_2 Order 848 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^-1 * S^190 * T * R^3 * T * S^2 * T * R^16 * T ] R105.108 : Type {420,420}_2 Order 840 mV = 420 mF = 420 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^189 * T * R^3 * T * S^2 * T * R^16 * T ] Genus 106 R106.1 : Type {3,16}_48 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^6 * R * S^-1 * R^-1 * S^6 * R^-1 * S, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2 ] R106.2 : Type {3,16}_84 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^6 * R * S^-1 * R^-1 * S^6 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] R106.3 : Type {4,11}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R106.4 : Type {4,214}_428 Order 1712 mV = 107 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^214 ] R106.5 : Type {4,424}_424 Order 1696 mV = 424 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^106 * R^2 * S^106 ] R106.6 : Type {5,8}_30 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-1 * R^-2 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R^2 * S^2 ] R106.7 : Type {6,108}_108 Order 1296 mV = 36 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^108 ] R106.8 : Type {6,108}_108 Order 1296 mV = 54 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^108 ] R106.9 : Type {6,318}_106 Order 1272 mV = 318 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^53 * R * S^-1 * R * S^52 ] R106.10 : Type {8,16}_6 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^-3 * S^-2 * R * S^-2, S^-3 * R^4 * S^-5 ] R106.11 : Type {8,16}_6 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (S * R^-1 * S)^3, S^-3 * R^4 * S^-5 ] R106.12 : Type {8,16}_28 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-3 * R * S^-2 ] R106.13 : Type {8,16}_28 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^4 * S^-5, S^-1 * R^2 * S^-2 * R^-2 * S^-3 * R * S^-2 ] R106.14 : Type {10,55}_110 Order 1100 mV = 11 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-55 ] R106.15 : Type {10,265}_106 Order 1060 mV = 265 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-27 * R^2 * S^-26 ] R106.16 : Type {11,11}_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, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, R^-11, (S^-1 * R^2 * S^-1)^3 ] R106.17 : Type {45,90}_10 Order 900 mV = 45 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^6 * S * R^-4, R^2 * S^-9 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-7 * R ] R106.18 : Type {108,216}_8 Order 864 mV = 216 mF = 54 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^11 * R^-7 * S^2 * R^-1 * S^2 * R^-30 * S ] R106.19 : Type {213,426}_2 Order 852 mV = 426 mF = 213 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^92 * R^-16 * T * S^-2 * T * R^-4 * S * R^-96 * S ] R106.20 : Type {214,214}_2 Order 856 mV = 214 mF = 214 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^192 * T * S * R^-14 * T * S^-2 * T * R^-4 * T ] R106.21 : Type {424,424}_2 Order 848 mV = 424 mF = 424 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^191 * T * R^3 * T * S^2 * T * R^16 * T ] Genus 107 R107.1 : Type {4,216}_216 Order 1728 mV = 108 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^54 * R * S^-1 * R * S^53 ] R107.2 : Type {4,216}_216 Order 1728 mV = 108 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^216 ] R107.3 : Type {4,428}_214 Order 1712 mV = 428 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^107 * R^2 * S^107 ] R107.4 : Type {6,56}_42 Order 1344 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^6 * R * S^-1 * R^2 * S^-1 * R * S^6 ] R107.5 : Type {6,56}_84 Order 1344 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] R107.6 : Type {6,321}_214 Order 1284 mV = 321 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-54 * R * S * R^-1 * S^-52 ] R107.7 : Type {8,144}_144 Order 1152 mV = 72 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^36 * R * S^-1 * R * S^35 ] R107.8 : Type {8,144}_144 Order 1152 mV = 72 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^36 * R^4 * S^36 ] R107.9 : Type {12,66}_88 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^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 * S^-1 * R^2 * S^-1 * R * S^5 ] R107.10 : Type {20,120}_24 Order 960 mV = 60 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R * S^-3 * R * S^-1 * R^10 * S^-2 * R^2 ] R107.11 : Type {20,120}_24 Order 960 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^-3 * R^11 * S^-4 * R * S^-1, S^12 * R * S^-1 * R * S^11 ] R107.12 : Type {24,60}_40 Order 960 mV = 15 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^10 * R * S^-3 * R * S^7 ] R107.13 : Type {24,60}_40 Order 960 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^10 * R * S^-3 * R * S^7 ] R107.14 : Type {30,40}_6 Order 960 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R^3 * S^-3 * R, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R107.15 : Type {30,40}_12 Order 960 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, (R * S^-2 * R * S^-1)^2 ] R107.16 : Type {56,112}_16 Order 896 mV = 56 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^6 * R^-20 * S^2 ] R107.17 : Type {56,112}_16 Order 896 mV = 56 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, S * R * S^-2 * R^3 * S^5, R^-2 * S^7 * R^-10 * S * R^-5 * S * R^-1 * S ] R107.18 : Type {215,430}_2 Order 860 mV = 430 mF = 215 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^95 * R^-16 * T * S^-2 * T * R^-4 * S * R^-96 ] R107.19 : Type {216,216}_2 Order 864 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^102 * T * S^2 * T * R^17 * S^-94 * R ] R107.20 : Type {216,216}_4 Order 864 mV = 216 mF = 216 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^93 * S^-2 * R * S^-2 * R^8 * S^-1 ] R107.21 : Type {428,428}_2 Order 856 mV = 428 mF = 428 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^193 * T * S * R^-14 * T * S^-2 * T * R^-4 * T ] Genus 108 R108.1 : Type {4,111}_222 Order 1776 mV = 37 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-111 ] R108.2 : Type {4,218}_436 Order 1744 mV = 109 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^218 ] R108.3 : Type {4,432}_432 Order 1728 mV = 432 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^108 * R^2 * S^108 ] R108.4 : Type {6,110}_330 Order 1320 mV = 55 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^110 ] R108.5 : Type {8,74}_296 Order 1184 mV = 37 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^74 ] R108.6 : Type {10,56}_280 Order 1120 mV = 28 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^56 ] R108.7 : Type {10,270}_54 Order 1080 mV = 270 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^27 * R * S^-1 * R * S^26 ] R108.8 : Type {12,88}_264 Order 1056 mV = 44 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 * R^6 * S^22 ] R108.9 : Type {14,38}_266 Order 1064 mV = 19 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^38 ] R108.10 : Type {14,252}_36 Order 1008 mV = 252 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^18 * R * S^-3 * R * S^15 ] R108.11 : Type {20,26}_260 Order 1040 mV = 13 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^26 ] R108.12 : Type {20,240}_48 Order 960 mV = 240 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^12 * R^-1 * S^-7 * R * S^5 ] R108.13 : Type {26,234}_18 Order 936 mV = 234 mF = 13 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^-21 * S * R^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R108.14 : Type {30,48}_80 Order 960 mV = 24 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^8 * R * S^-1 * R * S^7 ] R108.15 : Type {38,228}_12 Order 912 mV = 228 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^5 * R^-1 * S^-2, R^28 * S^-1 * R * S^-1 * R^7 ] R108.16 : Type {50,225}_18 Order 900 mV = 225 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^14 * S^-1 * R^2 * S^-2 ] R108.17 : Type {57,76}_6 Order 912 mV = 19 mF = 19 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^14 * S^-4 * R ] R108.18 : Type {74,222}_6 Order 888 mV = 222 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^29 * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-28 * S ] R108.19 : Type {110,220}_4 Order 880 mV = 220 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^-1 * R * S^2, R^-1 * S^64 * R^-10 * S * R^-1 * S * R^-32 ] R108.20 : Type {111,111}_4 Order 888 mV = 37 mF = 37 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^2 * R^-13 * S^2 * R^-92 ] R108.21 : Type {146,219}_6 Order 876 mV = 219 mF = 73 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^27 * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-29 ] R108.22 : Type {217,434}_2 Order 868 mV = 434 mF = 217 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^95 * R^-17 * T * S^-2 * T * R^-101 * S ] R108.23 : Type {218,218}_2 Order 872 mV = 218 mF = 218 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^104 * T * S^2 * T * R^17 * S^-94 * R ] R108.24 : Type {432,432}_2 Order 864 mV = 432 mF = 432 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^102 * T * S^2 * T * R^17 * S^-95 ] Genus 109 R109.1 : Type {3,12}_36 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R109.2 : Type {3,18}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^6, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-1, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ] R109.3 : Type {3,18}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, (S * R^-1 * S)^6, S^18 ] R109.4 : Type {3,18}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S^2 * R^-1 * S^2)^3, S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1 ] R109.5 : Type {3,24}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^24 ] R109.6 : Type {3,24}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^-1 * R * S^-5 * R * S^2, (S * R^-1 * S)^6 ] R109.7 : Type {3,24}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-5 * R * S^-1 * R * S^-5 * R * S^2, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-3 * R * S^-2 * R * S^-2 ] R109.8 : Type {3,54}_6 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-11 * R^-1 * S^17 * R^-1 * S^-8 ] R109.9 : Type {4,6}_12 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S * R^-1 * S ] R109.10 : Type {4,6}_12 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^2 * S^-1 * R * S^-1 ] R109.11 : Type {4,6}_36 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-3 * R^-2 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^2 * S^3 * R^-1 ] R109.12 : Type {4,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-1 * S^2 * R^-1 * S * R^2 * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R109.13 : Type {4,10}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R109.14 : Type {4,10}_10 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (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 * R * S^-1 * R * S^-1)^2 ] R109.15 : Type {4,12}_12 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^12 ] R109.16 : Type {4,12}_12 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^12 ] R109.17 : Type {4,12}_12 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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 ] R109.18 : Type {4,16}_48 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R109.19 : Type {4,16}_48 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, 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 * R^-1 * S^-1 * R * S^-2 ] R109.20 : Type {4,28}_84 Order 2016 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^28 ] R109.21 : Type {4,40}_6 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S ] R109.22 : Type {4,40}_12 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] R109.23 : Type {4,40}_24 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 ] R109.24 : Type {4,40}_24 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S ] R109.25 : Type {4,52}_78 Order 1872 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^13 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^8 ] R109.26 : Type {4,112}_112 Order 1792 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^112 ] R109.27 : Type {4,112}_112 Order 1792 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^28 * R^2 * S * R^-1 * S^-1 * R * S^26 ] R109.28 : Type {4,220}_220 Order 1760 mV = 110 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^220 ] R109.29 : Type {4,436}_218 Order 1744 mV = 436 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^109 * R^2 * S^109 ] R109.30 : Type {6,6}_4 Order 2592 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R^-2 * S)^6 ] R109.31 : Type {6,6}_12 Order 2592 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, 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^-2 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^3 * R ] R109.32 : Type {6,6}_12 Order 2592 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R * S^-3 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 ] R109.33 : Type {6,6}_12 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S, R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ] R109.34 : Type {6,6}_36 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S^-1 * R * S^2 * R^-2 * S * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R^2 * S^-1 * R^-3 * S * R^-1 ] R109.35 : Type {6,12}_4 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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 * R)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2 ] R109.36 : Type {6,12}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, 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 ] R109.37 : Type {6,12}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12 ] R109.38 : Type {6,12}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^12, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2 ] R109.39 : Type {6,12}_12 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^12 ] R109.40 : Type {6,12}_12 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^2 * S^-1 * R^2 * 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 * R^-1 * S^-1 * R * S ] R109.41 : Type {6,12}_12 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R109.42 : Type {6,12}_24 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R109.43 : Type {6,12}_24 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^3 * R^-2 * S^-2 ] R109.44 : Type {6,12}_24 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R109.45 : Type {6,15}_90 Order 1620 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^-15 ] R109.46 : Type {6,30}_4 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R109.47 : Type {6,30}_8 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 ] R109.48 : Type {6,30}_10 Order 1440 mV = 6 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-4 * R * S^5, R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 ] R109.49 : Type {6,30}_12 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R)^2, (R * S^-4)^2 ] R109.50 : Type {6,30}_24 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R109.51 : Type {6,30}_30 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 ] R109.52 : Type {6,30}_60 Order 1440 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, R^-1 * S * R * S^-4 * R^-2 * S^-5 ] R109.53 : Type {6,30}_60 Order 1440 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^30 ] R109.54 : Type {6,39}_78 Order 1404 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-39 ] R109.55 : Type {6,84}_28 Order 1344 mV = 28 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^14 * R^2 * S * R^-1 * S^-4 * R * S^9 ] R109.56 : Type {6,84}_56 Order 1344 mV = 28 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^3 * R * S^-4 * R^2 * S^-4 * R * S^3 ] R109.57 : Type {6,111}_222 Order 1332 mV = 37 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-111 ] R109.58 : Type {6,327}_218 Order 1308 mV = 327 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-55 * R^2 * S^-54 ] R109.59 : Type {7,28}_6 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R * S^-2 * R^-2 * S^2 * R^-2 * S^-1 ] R109.60 : Type {9,18}_4 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, 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 * S^-1 * R^4 * S^-1 * R * S^-3 ] R109.61 : Type {9,18}_12 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-2 * R^3)^2 ] R109.62 : Type {9,18}_12 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R109.63 : Type {9,18}_12 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R109.64 : Type {9,18}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, 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, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R109.65 : Type {10,10}_4 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, 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 * R^2)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 ] R109.66 : Type {10,10}_8 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (S^-1 * R)^5 ] R109.67 : Type {10,10}_10 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^5 * S^-4 ] R109.68 : Type {12,12}_6 Order 1296 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, R^12, S^-1 * R^6 * S^-5 ] R109.69 : Type {12,12}_6 Order 1296 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, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^3 * R^-2 ] R109.70 : Type {12,12}_6 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1, R^12, (S^-1 * R^2 * S^-1)^3 ] R109.71 : Type {12,12}_6 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3 ] R109.72 : Type {12,12}_6 Order 1296 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^-3)^2, R^12, (S^-1 * R^2 * S^-1)^3 ] R109.73 : Type {12,12}_6 Order 1296 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 * R^-3, S * R * S^-3 * R * S^4, R^12, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R109.74 : Type {12,12}_6 Order 1296 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, S * R * S^-3 * R * S^4, R^12, (S^-1 * R^2 * S^-1)^3 ] R109.75 : Type {12,12}_18 Order 1296 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^-1 * R^6 * S^-5 ] R109.76 : Type {12,12}_18 Order 1296 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^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 ] R109.77 : Type {12,24}_6 Order 1152 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^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, (S^-1 * R^2 * S^-1)^3 ] R109.78 : Type {12,24}_6 Order 1152 mV = 6 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^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, R * S^-2 * R^4 * S^-2 * R * S^-2 ] R109.79 : Type {12,24}_6 Order 1152 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^12, (R * S^-1 * R^4)^2, R^-2 * S * R^4 * S^5 ] R109.80 : Type {12,24}_6 Order 1152 mV = 8 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^3 * R^-1, R^12, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R109.81 : Type {12,24}_12 Order 1152 mV = 2 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, R^-1 * S * R * S^-5 * R^2 * S^-6 ] R109.82 : Type {12,24}_12 Order 1152 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^2 * S^-1 * R^2 * S^4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R109.83 : Type {12,24}_12 Order 1152 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^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^-2 * R^5 * S^3 * R^-1 * S^-1 ] R109.84 : Type {12,24}_12 Order 1152 mV = 6 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^-1 * R^2 * S^-2 ] R109.85 : Type {12,24}_12 Order 1152 mV = 6 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^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1 ] R109.86 : Type {12,24}_12 Order 1152 mV = 6 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^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ] R109.87 : Type {12,24}_12 Order 1152 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^-2 * R^-1 * S^4 * R^-5 * S^-6 ] R109.88 : Type {12,24}_12 Order 1152 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^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12 ] R109.89 : Type {12,24}_12 Order 1152 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^12, (R * S^-1 * R^4)^2, R * S^-2 * R^4 * S^-2 * R * S^2 ] R109.90 : Type {12,24}_12 Order 1152 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^-1 * R^2 * S^-1 * R^2 * S^-4, R^12 ] R109.91 : Type {12,24}_12 Order 1152 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)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, S^6 * R * S^-1 * R^2 * S^-1 * R * S^4 ] R109.92 : Type {12,24}_12 Order 1152 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 * S^-3 * R * S^4, R^12 ] R109.93 : Type {12,24}_12 Order 1152 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 ] R109.94 : Type {12,24}_12 Order 1152 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^-7 * R^-6 * S^-5 ] R109.95 : Type {12,24}_12 Order 1152 mV = 8 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 * R^-3, R^12 ] R109.96 : Type {12,24}_24 Order 1152 mV = 2 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^24 ] R109.97 : Type {12,24}_24 Order 1152 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^-3 * R^4 * S * R^-2 * S^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R109.98 : Type {12,24}_24 Order 1152 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, S^-1 * R^5 * S^-2 * R * S^-1, S^24 ] R109.99 : Type {12,24}_24 Order 1152 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 * R^2 * S^2 * R^-1 * S^-1, R^12, S^-2 * R^-1 * S * R * S^-3 * R^-2 * S^-1 * R^2 * S^-5 ] R109.100 : Type {12,24}_24 Order 1152 mV = 6 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 ] R109.101 : Type {12,24}_24 Order 1152 mV = 6 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 * R * S^-3 * R * S^4 ] R109.102 : Type {12,24}_24 Order 1152 mV = 6 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^-1 * S^4 * R^-5 * S^-6 ] R109.103 : Type {12,24}_24 Order 1152 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)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^24 ] R109.104 : Type {12,24}_24 Order 1152 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 * 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^8 * R^-1 * S^-2 ] R109.105 : Type {12,24}_24 Order 1152 mV = 8 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^-2 * R^2 * S^3 * R^-1, R^12, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R109.106 : Type {12,24}_24 Order 1152 mV = 8 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^24 ] R109.107 : Type {12,132}_44 Order 1056 mV = 66 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^22 * R * S^-3 * R * S^19 ] R109.108 : Type {16,16}_12 Order 1152 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 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R * S^-2 * R^8 * S^-1 * R * S^-1 ] R109.109 : Type {16,16}_12 Order 1152 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^-1 * S * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] R109.110 : Type {16,16}_24 Order 1152 mV = 4 mF = 4 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 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 ] R109.111 : Type {16,64}_64 Order 1024 mV = 16 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^16 * R * S^-3 * R * S^13 ] R109.112 : Type {16,64}_64 Order 1024 mV = 16 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 * R * S^-3 * R * S^13 ] R109.113 : Type {16,64}_64 Order 1024 mV = 32 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^16 * R^-6 * S^6 * R^-1 * S^-1 * R * S^9 ] R109.114 : Type {16,64}_64 Order 1024 mV = 32 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 * R * S^-1 * R * S^15 ] R109.115 : Type {18,63}_28 Order 1008 mV = 21 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-1 * R^-1 * S * R^-4 * S^4 * R^-1 * S^-1 ] R109.116 : Type {21,42}_12 Order 1008 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^-1 * R^15 * S^-5 ] R109.117 : Type {24,120}_20 Order 960 mV = 60 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^9 * R^-1 * S^-9 ] R109.118 : Type {24,120}_20 Order 960 mV = 60 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^10 * R^3 * S^-2 * R * S^8 ] R109.119 : Type {27,54}_6 Order 972 mV = 9 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-7 * R^10 * S^-6 * R * S^-1 ] R109.120 : Type {27,54}_6 Order 972 mV = 9 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^2 * R^-3 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R109.121 : Type {27,54}_6 Order 972 mV = 9 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 * S^-1 * R * S^2 * R^-1 * S, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R ] R109.122 : Type {27,54}_18 Order 972 mV = 27 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^-1 * S * R^10 * S * R^-7, R^2 * S^-1 * R^2 * S^-1 * R^13 * S^-1 * R^5 * S^-1 * R ] R109.123 : Type {28,28}_6 Order 1008 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^-4 * S * R^-3 * S * R^-11 * S^8 ] R109.124 : Type {30,60}_4 Order 960 mV = 20 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^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, S * R^-9 * S * R^-1 * S^2 * R^-8 * S^6 * R^-2 ] R109.125 : Type {30,60}_8 Order 960 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, R^-1 * S^8 * R^-1 * S * R^-18 * S ] R109.126 : Type {40,40}_6 Order 960 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^2 * S^-1 * R^3 * S * R^-2 * S^-1, S^3 * R * S^-1 * R * S^3 * R^-1 ] R109.127 : Type {40,40}_6 Order 960 mV = 8 mF = 8 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 ] R109.128 : Type {40,40}_12 Order 960 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^-1 * R^5 * S^-4 ] R109.129 : Type {40,40}_12 Order 960 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S^2 * R^-1 * S ] R109.130 : Type {52,52}_6 Order 936 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R^2 * S^-2 * R * S^-2 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ] R109.131 : Type {57,114}_4 Order 912 mV = 38 mF = 19 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^37 * R^-2 * S * R^-14 ] R109.132 : Type {75,150}_6 Order 900 mV = 75 mF = 25 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^31 * S^-9 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-8 ] R109.133 : Type {112,112}_4 Order 896 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^67 * R^-10 * S * R^-1 * S * R^-31 * S ] R109.134 : Type {112,112}_4 Order 896 mV = 56 mF = 56 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^26 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R109.135 : Type {112,112}_8 Order 896 mV = 56 mF = 56 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^11 * S^-9 * R^5 * S^-1 * R^12 * S^-1 * R * S^-2 * R^4 * S^-8 ] R109.136 : Type {219,438}_2 Order 876 mV = 438 mF = 219 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^94 * R^-17 * T * S^-2 * T * R^-105 ] R109.137 : Type {220,220}_2 Order 880 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^106 * T * S^2 * T * R^17 * S^-94 * R ] R109.138 : Type {436,436}_2 Order 872 mV = 436 mF = 436 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^104 * T * S^2 * T * R^17 * S^-95 ] Genus 110 R110.1 : Type {4,222}_444 Order 1776 mV = 111 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^222 ] R110.2 : Type {4,440}_440 Order 1760 mV = 440 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^110 * R^2 * S^110 ] R110.3 : Type {6,112}_336 Order 1344 mV = 56 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^112 ] R110.4 : Type {6,330}_110 Order 1320 mV = 330 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^55 * R^2 * S^55 ] R110.5 : Type {8,39}_156 Order 1248 mV = 13 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-39 ] R110.6 : Type {8,148}_296 Order 1184 mV = 74 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^37 * R^4 * S^37 ] R110.7 : Type {12,46}_276 Order 1104 mV = 23 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^46 ] R110.8 : Type {12,264}_88 Order 1056 mV = 264 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^22 * R^2 * S^22 ] R110.9 : Type {22,24}_264 Order 1056 mV = 12 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^24 ] R110.10 : Type {30,80}_48 Order 960 mV = 40 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^8 * R^2 * S * R^-3 * S^-3 * R * S^4 ] R110.11 : Type {42,231}_22 Order 924 mV = 231 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^7 * R^-10 * S^4 ] R110.12 : Type {46,230}_10 Order 920 mV = 230 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, R^32 * S^-1 * R * S^-1 * R^11 ] R110.13 : Type {76,114}_12 Order 912 mV = 57 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^4 * R^-2 * S * R^-1 * S * R^-27 * S^2 ] R110.14 : Type {221,442}_2 Order 884 mV = 442 mF = 221 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^196 * R^-17 * T * S^-2 * T * R^-5 ] R110.15 : Type {222,222}_2 Order 888 mV = 222 mF = 222 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^100 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-99 ] R110.16 : Type {440,440}_2 Order 880 mV = 440 mF = 440 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^106 * T * S^2 * T * R^17 * S^-95 ] Genus 111 R111.1 : Type {4,6}_10 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R111.2 : Type {4,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 ] R111.3 : Type {4,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^12, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-2 ] R111.4 : Type {4,114}_114 Order 1824 mV = 38 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^114 ] R111.5 : Type {4,224}_224 Order 1792 mV = 112 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^56 * R * S^-1 * R * S^55 ] R111.6 : Type {4,224}_224 Order 1792 mV = 112 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^224 ] R111.7 : Type {4,444}_222 Order 1776 mV = 444 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^111 * R^2 * S^111 ] R111.8 : Type {6,6}_10 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S^-1 * R^-2 * S * R * S^-1 * R^2 * S^3 * R^2 * S^-1 ] R111.9 : Type {6,6}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-2 * S^-2 ] R111.10 : Type {8,21}_42 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-21 ] R111.11 : Type {8,76}_152 Order 1216 mV = 19 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^76 ] R111.12 : Type {8,76}_152 Order 1216 mV = 38 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^76 ] R111.13 : Type {8,296}_74 Order 1184 mV = 296 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^37 * R^2 * S^37 ] R111.14 : Type {8,296}_148 Order 1184 mV = 296 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^37 * R * S^-2 * R * S^35 ] R111.15 : Type {10,30}_10 Order 1200 mV = 10 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, (R * S^-1 * R^3)^2, (S^-1 * R)^5 ] R111.16 : Type {12,20}_6 Order 1200 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R * S^-2 * R^4 * S^-2 * R * S^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R111.17 : Type {12,20}_6 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^2 * R^2 * S^-1 * R * S^-1 * R^-1 * S^6 ] R111.18 : Type {14,259}_74 Order 1036 mV = 259 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^-19 * R * S * R^-1 * S^-17 ] R111.19 : Type {28,36}_126 Order 1008 mV = 18 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^9 * S^-4 * T * R^-2 * S * R^2 * T * S^-2 * R^-1 * S^2 ] R111.20 : Type {40,60}_6 Order 960 mV = 20 mF = 10 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, (R * S^-1 * R * S^-1 * R)^2 ] R111.21 : Type {40,60}_12 Order 960 mV = 20 mF = 10 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 ] R111.22 : Type {40,60}_24 Order 960 mV = 15 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^7 * R^-8 * S^5 ] R111.23 : Type {40,60}_24 Order 960 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-2 * R^3 * S^-1 * R^10 * S^-2 * R * S^-1 ] R111.24 : Type {76,228}_6 Order 912 mV = 228 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^-2 * R * S^3, R^-1 * S^30 * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-29 ] R111.25 : Type {114,114}_4 Order 912 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^2, R * S^-1 * R^92 * S^-2 * R^13 * S^-3 * R * S^-1 ] R111.26 : Type {223,446}_2 Order 892 mV = 446 mF = 223 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^97 * R^-15 * S * T * R * S^-1 * T * R^-4 * S * R^-102 ] R111.27 : Type {224,224}_2 Order 896 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^103 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-97 * R ] R111.28 : Type {224,224}_4 Order 896 mV = 224 mF = 224 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^66 * R^-10 * S * R^-1 * S * R^-32 ] R111.29 : Type {444,444}_2 Order 888 mV = 444 mF = 444 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^100 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-98 * R ] Genus 112 R112.1 : Type {4,78}_52 Order 1872 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^13 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^8 ] R112.2 : Type {4,226}_452 Order 1808 mV = 113 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^226 ] R112.3 : Type {4,448}_448 Order 1792 mV = 448 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^112 * R^2 * S^112 ] R112.4 : Type {6,40}_40 Order 1440 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^40 ] R112.5 : Type {6,114}_114 Order 1368 mV = 38 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^114 ] R112.6 : Type {6,114}_114 Order 1368 mV = 57 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^19 * R * S^-3 * R * S^16 ] R112.7 : Type {6,114}_114 Order 1368 mV = 57 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^114 ] R112.8 : Type {6,336}_112 Order 1344 mV = 336 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^56 * R * S^-1 * R * S^55 ] R112.9 : Type {8,15}_6 Order 1440 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S^-2 * R * S^-1 * R^-3 * S^2 * R^-1 * S^-2 * R ] R112.10 : Type {10,58}_290 Order 1160 mV = 29 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^58 ] R112.11 : Type {10,280}_56 Order 1120 mV = 280 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^28 * R * S^-2 * R * S^26 ] R112.12 : Type {12,32}_32 Order 1152 mV = 8 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^-1 * R^-1 * S^5 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-3 ] R112.13 : Type {16,34}_272 Order 1088 mV = 17 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^34 ] R112.14 : Type {18,30}_90 Order 1080 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, (R * S^-1 * R^4)^2, S^4 * R * S^-1 * R * S^5, R^18 ] R112.15 : Type {18,30}_90 Order 1080 mV = 15 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^30 ] R112.16 : Type {18,252}_28 Order 1008 mV = 252 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^14 * R * S^-4 * R * S^10 ] R112.17 : Type {21,84}_6 Order 1008 mV = 21 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-1 * S^2 * R^-2 * S * R^-13 * S * R^-1 ] R112.18 : Type {28,42}_4 Order 1008 mV = 7 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1, R^8 * S^-6 ] R112.19 : Type {30,240}_16 Order 960 mV = 240 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^24 * S^-1 * R * S^-1 * R^3 ] R112.20 : Type {34,238}_14 Order 952 mV = 238 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^-6 * R^-1 * S^6 * R^-1 * S^-2, R^26 * S^-1 * R * S^-1 * R^5 ] R112.21 : Type {48,60}_80 Order 960 mV = 30 mF = 24 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, R * S^-1 * R^-1 * S * R^3 * S^-1 * R^-3 * S^7 ] R112.22 : Type {58,232}_8 Order 928 mV = 232 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^-3 * R * S^4, S * R^-1 * S^10 * R^-11 * S * R^-1 * S * R^-31 * S ] R112.23 : Type {66,231}_14 Order 924 mV = 231 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^5 * R^-26 * S^2 ] R112.24 : Type {78,78}_6 Order 936 mV = 39 mF = 26 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^31 * R^-1 * S^7 * R^-6 * S * R^-13 * S * R^-5 * S^10 * R^-1 ] R112.25 : Type {78,78}_6 Order 936 mV = 39 mF = 39 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^-1 * S * R^-3 * S * R^-11 * S * R^-5 * S * R^-2 ] R112.26 : Type {114,228}_4 Order 912 mV = 228 mF = 57 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^68 * R^-10 * S * R^-1 * S * R^-32 ] R112.27 : Type {225,450}_2 Order 900 mV = 450 mF = 225 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^98 * R^-16 * S * T * R * S^-1 * T * R^-4 * S * R^-101 * S ] R112.28 : Type {226,226}_2 Order 904 mV = 226 mF = 226 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^207 * T * S * R^-1 * T * S^-1 * R^16 ] R112.29 : Type {448,448}_2 Order 896 mV = 448 mF = 448 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^103 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-98 ] Genus 113 R113.1 : Type {4,6}_16 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] R113.2 : Type {4,12}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^12, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R113.3 : Type {4,12}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^12, S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R113.4 : Type {4,18}_18 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^18 ] R113.5 : Type {4,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^18 ] R113.6 : Type {4,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^18 ] R113.7 : Type {4,32}_4 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-5 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^4 * R^-1 * S^-1 ] R113.8 : Type {4,32}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-5 ] R113.9 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^32 ] R113.10 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^32 ] R113.11 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^-5 * R^-1 * S^2 * R * S^-1 * R * S^6 * R^-1 * S^-2 ] R113.12 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R113.13 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R113.14 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^3 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^6 ] R113.15 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-5 * R, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R113.16 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R113.17 : Type {4,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^32 ] R113.18 : Type {4,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R113.19 : Type {4,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R113.20 : Type {4,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S * R * S^-5 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S ] R113.21 : Type {4,60}_60 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^60 ] R113.22 : Type {4,60}_120 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^15 * R^2 * S^2 * R^-1 * S^-1 * R * S^12 ] R113.23 : Type {4,60}_120 Order 1920 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^60 ] R113.24 : Type {4,116}_116 Order 1856 mV = 29 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^116 ] R113.25 : Type {4,228}_228 Order 1824 mV = 114 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^228 ] R113.26 : Type {4,452}_226 Order 1808 mV = 452 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^113 * R^2 * S^113 ] R113.27 : Type {6,6}_16 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R^2 * S^3 * R * S^-1 * R, S^-1 * R^-3 * S^-3 * R^2 * S^3 * R^3 * S^-1 ] R113.28 : Type {6,9}_14 Order 2016 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^-1 * R * S^2 ] R113.29 : Type {6,24}_4 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-2)^4 ] R113.30 : Type {6,24}_4 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R * S^-1 * R)^2 ] R113.31 : Type {6,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-3 * S^-1 * R^2 * S^2, (R * S^-4 * R)^2 ] R113.32 : Type {6,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, (R * S^-4 * R)^2 ] R113.33 : Type {6,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-2 * R^2 * S^-1 * R^2 * S^-5, (R * S^-2)^4 ] R113.34 : Type {6,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S^4, (R * S^-2)^4 ] R113.35 : Type {6,24}_8 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R^-4 * S^-1 * R^2 * S * R^-1 ] R113.36 : Type {6,24}_8 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R113.37 : Type {6,24}_16 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-2 * S^-1 * R, S^-2 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1 * R ] R113.38 : Type {6,24}_16 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R113.39 : Type {6,24}_16 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, (R * S^-1 * R)^4 ] R113.40 : Type {6,24}_16 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] R113.41 : Type {6,87}_116 Order 1392 mV = 29 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-15 * R^2 * S^-1 * R^2 * S^-13 ] R113.42 : Type {6,339}_226 Order 1356 mV = 339 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-57 * R * S * R^-1 * S^-55 ] R113.43 : Type {8,12}_6 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^2 * S^-1 * R^2 * S^-4 * R ] R113.44 : Type {8,12}_6 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-2 * S^-1 * R^3 * S, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R113.45 : Type {8,12}_6 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R113.46 : Type {8,12}_6 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R113.47 : Type {8,12}_6 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-3 * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2 ] R113.48 : Type {8,12}_6 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R113.49 : Type {8,12}_6 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4 ] R113.50 : Type {8,12}_6 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, (R * S^-2)^4 ] R113.51 : Type {8,12}_6 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4 ] R113.52 : Type {8,12}_12 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R113.53 : Type {8,12}_12 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R113.54 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 ] R113.55 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12 ] R113.56 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R113.57 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^12 ] R113.58 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R113.59 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12 ] R113.60 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^-4 * R^3 * S * R^-1 * S^-1 * R^2 ] R113.61 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^12 ] R113.62 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R113.63 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R113.64 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, (R * S^-2)^4 ] R113.65 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-3 * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 ] R113.66 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S^12, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3 ] R113.67 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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, S^-3 * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2 ] R113.68 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-3 * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-2 * S^-3 ] R113.69 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-2 * S^-3 ] R113.70 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 ] R113.71 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R113.72 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4 ] R113.73 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-2)^4, R^-1 * S * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^-3 ] R113.74 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-2)^4, R^-1 * S * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^3 ] R113.75 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S^12, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-2 * S^3 ] R113.76 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4 ] R113.77 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3 ] R113.78 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, (R * S^-2)^4 ] R113.79 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-2 * S^3 ] R113.80 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R113.81 : Type {8,12}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^12 ] R113.82 : Type {8,12}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R113.83 : Type {8,12}_24 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ] R113.84 : Type {8,12}_24 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 ] R113.85 : Type {8,12}_24 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 ] R113.86 : Type {8,12}_24 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 ] R113.87 : Type {8,12}_24 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S^12 ] R113.88 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^-2 * R * S, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3 ] R113.89 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^-2 * R * S ] R113.90 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, R * S^-1 * R^-3 * S^2 * R^-1 * S^-2 * R^2 * S^-1 * R ] R113.91 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3 ] R113.92 : Type {8,12}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 ] R113.93 : Type {8,12}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, R * S^-2 * R * S^-2 * R^-3 * S^-2 * R * S^-2 ] R113.94 : Type {8,12}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 ] R113.95 : Type {8,12}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 ] R113.96 : Type {8,12}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 ] R113.97 : Type {8,12}_24 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^12, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R113.98 : Type {8,12}_48 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^12, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R113.99 : Type {8,40}_20 Order 1280 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R113.100 : Type {8,40}_20 Order 1280 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^10 * R^2 * S^5 * R^-1 * S^-1 * R * S^4 ] R113.101 : Type {8,40}_20 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, 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^10 * R^2 * S^5 * R^-1 * S^-1 * R * S^4 ] R113.102 : Type {8,40}_40 Order 1280 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^10 * R * S^-4 * R * S * R^-1 * S^-1 * R * S^4 ] R113.103 : Type {8,40}_40 Order 1280 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^10 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^5 ] R113.104 : Type {8,40}_40 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, 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^40 ] R113.105 : Type {8,40}_40 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, 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^10 * R * S^-2 * R * S * R^-1 * S^-4 * R^-1 * S^3 ] R113.106 : Type {8,40}_40 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^40 ] R113.107 : Type {8,40}_40 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, 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^10 * R^2 * S^2 * R^-2 * S^8 ] R113.108 : Type {8,40}_40 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^10 * R * S^-2 * R * S * R^-1 * S^-3 * R * S^4 ] R113.109 : Type {8,152}_76 Order 1216 mV = 76 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^38 * R * S^-1 * R * S^37 ] R113.110 : Type {8,152}_76 Order 1216 mV = 76 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^38 * R^4 * S^38 ] R113.111 : Type {10,20}_4 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, 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^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2 ] R113.112 : Type {10,20}_4 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, 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 * R^3)^2, (R * S^-2 * R * S^-1)^2 ] R113.113 : Type {10,20}_8 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2 ] R113.114 : Type {10,20}_8 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ] R113.115 : Type {10,20}_8 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R113.116 : Type {10,20}_8 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2, S^-3 * R^-3 * S^-3 * R^2 ] R113.117 : Type {10,20}_8 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S * R * S^-2 * R^-2 * S * R^-2 * S^2 ] R113.118 : Type {12,12}_8 Order 1344 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^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R113.119 : Type {12,12}_8 Order 1344 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^12, S^-1 * R^6 * S^-5, R^-2 * S * R^4 * S^2 * R^-1 * S^2 ] R113.120 : Type {12,92}_138 Order 1104 mV = 46 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^23 * R^6 * S^23 ] R113.121 : Type {18,18}_4 Order 1152 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^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R * S^-1 * R^4 * S^-1 * R^7 * S^-4 ] R113.122 : Type {18,18}_8 Order 1152 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 * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^4, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R^12 * S^-5 ] R113.123 : Type {18,18}_8 Order 1152 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^3 * S * R^-1 * S^2, S * R^6 * S^5, S^-2 * R * T * S^2 * R^-1 * S * R^-4 * S^2 * R^-1 * S * T * R^3 ] R113.124 : Type {18,18}_8 Order 1152 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, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^-1, R^2 * S^-2 * R^7 * S^-1 * R * S^-1 * R * S^-2 * R ] R113.125 : Type {20,52}_130 Order 1040 mV = 26 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^13 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^4 ] R113.126 : Type {32,32}_4 Order 1024 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^-3 * S^10 * R^-3 * S * R^-14 * S ] R113.127 : Type {32,32}_4 Order 1024 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^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^-5 * S * R^-1 * S^2 * R^-1 ] R113.128 : Type {32,32}_4 Order 1024 mV = 8 mF = 8 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^-2 * S * R^-11 * S * R^-1 ] R113.129 : Type {32,32}_8 Order 1024 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^-1 * S * R^-2 * S^2 * R^-1 * S^2 * R^-13 * S * R^-3 * S * R^-4 * S ] R113.130 : Type {32,32}_8 Order 1024 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^-2 * R^-3 * S * R^4 * S^3 * R^-1 * S^-2, R^-1 * S * R^-3 * S * R^-10 ] R113.131 : Type {32,32}_8 Order 1024 mV = 8 mF = 8 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^-9 * S * R^-2 * S ] R113.132 : Type {32,32}_8 Order 1024 mV = 8 mF = 8 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^-6 * S * R^-3 ] R113.133 : Type {32,32}_8 Order 1024 mV = 8 mF = 8 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^-10 * S^2 * R^-1 ] R113.134 : Type {32,32}_8 Order 1024 mV = 8 mF = 8 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^2 * R^-3 ] R113.135 : Type {32,32}_8 Order 1024 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 * S^-2 * R^4 * S^-1 * R^2 * S^-1 * R * T * S * R^-10 * S * T * S^-6 * R ] R113.136 : Type {32,32}_8 Order 1024 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 * R^-2 * S, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-1 * S * R^-3 * S * R^-10 ] R113.137 : Type {32,32}_8 Order 1024 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, 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^-7 * S^2 * R^-1 * S * R^-1 * T * S^-1 ] R113.138 : Type {32,32}_8 Order 1024 mV = 8 mF = 8 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^-8 * S^3 * R^-2 ] R113.139 : Type {32,32}_8 Order 1024 mV = 8 mF = 8 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, R^-1 * S * R^-3 * S * R^-10 ] R113.140 : Type {32,32}_16 Order 1024 mV = 4 mF = 8 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^-1 * S * R^-2 * S * R^-4 * S^6 * R^-1 ] R113.141 : Type {32,32}_16 Order 1024 mV = 4 mF = 8 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^-4 * S^2 * R^-1 * S^2 * R^-13 * S * R^-5 * S * R^-3 ] R113.142 : Type {32,32}_16 Order 1024 mV = 4 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, R^-13 * S * R^-1 * S, S^-4 * R^-1 * S^7 * R^-1 * S^-5 ] R113.143 : Type {32,32}_16 Order 1024 mV = 4 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-23 * S ] R113.144 : Type {32,32}_16 Order 1024 mV = 8 mF = 8 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^-8 * S^7 ] R113.145 : Type {32,32}_16 Order 1024 mV = 8 mF = 8 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, S * R^6 * S * R^-1 * S^2 * R^-1, R^-2 * S^2 * R^-1 * S * R^-6 * S * R^-3 ] R113.146 : Type {32,32}_16 Order 1024 mV = 8 mF = 8 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 ] R113.147 : Type {32,32}_16 Order 1024 mV = 8 mF = 8 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, S * R * S^-3 * R * S^4, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 ] R113.148 : Type {32,32}_16 Order 1024 mV = 16 mF = 16 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 * R^-1 * S * R^14, S^8 * R * S^-1 * R * S^7 ] R113.149 : Type {32,32}_16 Order 1024 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^-1 * R * S^6 * R^9 * S^-4 * T * R^-2 * S * R^2 * T * S^-2 * R^-1 * S ] R113.150 : Type {35,70}_14 Order 980 mV = 35 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^-8 * S^-1 * R^5, R^-3 * S * R^-5 * S * R^-13 * S * R^-5 * S^5 * R^-1 ] R113.151 : Type {40,120}_12 Order 960 mV = 60 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^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-6 * S * R^-1 * S * R^-28 * S ] R113.152 : Type {40,120}_12 Order 960 mV = 60 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^-6 * R^-3 * S^4 * R^-1 * S^-2, S^-2 * R^3 * S^-1 * R^10 * S^-2 * R * S^-1 ] R113.153 : Type {48,80}_30 Order 960 mV = 40 mF = 24 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^7 * S * R^-5, S^-2 * R^-1 * S^3 * R^4 * S^3 * R^-1 * S^-2, R^2 * S^-2 * R^2 * S^-1 * R^5 * S^-3 * R ] R113.154 : Type {48,80}_60 Order 960 mV = 40 mF = 24 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^7 * S * R^-5, S^2 * R * S^-2 * R^4 * S^-4 * R * S^2 ] R113.155 : Type {60,60}_4 Order 960 mV = 15 mF = 15 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 * S^-2 * R^29 * S^-3 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 ] R113.156 : Type {60,60}_4 Order 960 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, S^2 * R^-1 * S^39 * R^-2 * S * R^-15 ] R113.157 : Type {60,60}_8 Order 960 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 * R^-1 * S, R * S^-12 * R * S^-1 * R^3 * S^-1 * R^6 * S^-4 * R ] R113.158 : Type {116,116}_4 Order 928 mV = 58 mF = 58 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^69 * R^-11 * S * R^-1 * S * R^-31 * S ] R113.159 : Type {227,454}_2 Order 908 mV = 454 mF = 227 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^205 * T * R^-15 * S * T * R * S^-1 * T * R^-4 * T ] R113.160 : Type {228,228}_2 Order 912 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^106 * T * S * R^-1 * T * S^-1 * R^16 * S^-102 * R ] R113.161 : Type {452,452}_2 Order 904 mV = 452 mF = 452 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^207 * T * S * R^-1 * T * S^-1 * R^15 * S^-1 ] Genus 114 R114.1 : Type {4,117}_234 Order 1872 mV = 39 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-117 ] R114.2 : Type {4,230}_460 Order 1840 mV = 115 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^230 ] R114.3 : Type {4,456}_456 Order 1824 mV = 456 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^114 * R^2 * S^114 ] R114.4 : Type {6,116}_348 Order 1392 mV = 58 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^116 ] R114.5 : Type {8,78}_156 Order 1248 mV = 26 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-20 * R^3 * S^5 * R^-1 * S^-14 ] R114.6 : Type {8,78}_312 Order 1248 mV = 39 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^78 ] R114.7 : Type {10,285}_114 Order 1140 mV = 285 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-29 * R * S * R^-1 * S^-27 ] R114.8 : Type {12,138}_92 Order 1104 mV = 69 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^23 * R * S^-1 * R * S^22 ] R114.9 : Type {14,40}_280 Order 1120 mV = 20 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^40 ] R114.10 : Type {14,266}_38 Order 1064 mV = 266 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^19 * R * S^-4 * R * S^15 ] R114.11 : Type {26,247}_38 Order 988 mV = 247 mF = 13 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^-21 * S * R^-1, S^-10 * R * S^3 * R^-1 * S^-6 ] R114.12 : Type {28,63}_18 Order 1008 mV = 21 mF = 7 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 * R * S^-2 * R^-3 * S^6 ] R114.13 : Type {60,80}_48 Order 960 mV = 40 mF = 30 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^-1 * S^2 * R^-4 * S^5 ] R114.14 : Type {116,232}_8 Order 928 mV = 232 mF = 58 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^12 * R^-11 * S * R^-1 * S * R^-32 ] R114.15 : Type {117,117}_4 Order 936 mV = 39 mF = 39 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^5 * R^-13 * S^2 * R^-95 ] R114.16 : Type {154,231}_6 Order 924 mV = 231 mF = 77 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^29 * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-28 * S ] R114.17 : Type {229,458}_2 Order 916 mV = 458 mF = 229 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^104 * R^-15 * S * T * R * S^-1 * T * R^-4 * S * R^-100 * S ] R114.18 : Type {230,230}_2 Order 920 mV = 230 mF = 230 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^103 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^10 * S^-1 * R^2 * S^-106 ] R114.19 : Type {456,456}_2 Order 912 mV = 456 mF = 456 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^106 * T * S * R^-1 * T * S^-1 * R^16 * S^-103 ] Genus 115 R115.1 : Type {3,10}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S)^5, S^-1 * R^-1 * S^2 * R * S^-3 * R * S^-2 * R^-1 * S^5 * R * S^-1 * R * S^-3 ] R115.2 : Type {3,10}_20 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S, S * R^-1 * S^3 * R * S^-3 * R * S^-2 * R^-1 * S^5 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R115.3 : Type {4,232}_232 Order 1856 mV = 116 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^58 * R * S^-1 * R * S^57 ] R115.4 : Type {4,232}_232 Order 1856 mV = 116 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^232 ] R115.5 : Type {4,460}_230 Order 1840 mV = 460 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^115 * R^2 * S^115 ] R115.6 : Type {6,60}_20 Order 1440 mV = 12 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-4 * R * S^5, R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2 ] R115.7 : Type {6,60}_30 Order 1440 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, 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 * R * S^-2 * R^-2 * S^-5 ] R115.8 : Type {6,60}_30 Order 1440 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^15 * R^2 * S^2 * R^-1 * S^-1 * R * S^12 ] R115.9 : Type {6,117}_234 Order 1404 mV = 39 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-117 ] R115.10 : Type {6,345}_230 Order 1380 mV = 345 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-58 * R^2 * S^-57 ] R115.11 : Type {8,28}_16 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-2 * R^-1 * S^5 ] R115.12 : Type {8,28}_16 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-1 * R * S^-1 * R^-3 * S^6 ] R115.13 : Type {10,12}_6 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (S^-1 * R^2 * S^-1)^3 ] R115.14 : Type {12,48}_48 Order 1152 mV = 8 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^12 * R * S^-5 * R * S^7 ] R115.15 : Type {12,48}_48 Order 1152 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^48 ] R115.16 : Type {12,48}_48 Order 1152 mV = 24 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^12, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R115.17 : Type {12,48}_48 Order 1152 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, S^8 * R * S^-1 * R * S^7 ] R115.18 : Type {12,48}_48 Order 1152 mV = 24 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^12 * R * S^-1 * R * S^11 ] R115.19 : Type {12,48}_48 Order 1152 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^48 ] R115.20 : Type {12,276}_46 Order 1104 mV = 276 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^23 * R * S^-4 * R * S^19 ] R115.21 : Type {16,24}_16 Order 1152 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-2 * R^2 * S^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 ] R115.22 : Type {16,24}_16 Order 1152 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-2 * R^2 * S^-1, (R * S^-1)^6 ] R115.23 : Type {22,253}_46 Order 1012 mV = 253 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^-12 * R * S^6 * R^-1 * S^-5 ] R115.24 : Type {48,240}_10 Order 960 mV = 240 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^-4 * R * S^5, R^-12 * S * R^-1 * S * R^-33 ] R115.25 : Type {48,240}_20 Order 960 mV = 240 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^-6 * R^14 * S^-4 ] R115.26 : Type {60,120}_8 Order 960 mV = 60 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^5 * S * R^-3, R^-3 * S^11 * R^-1 * S^8 * R^-4 * S^2 * R^-1 * S * R^-12 * S * R^-5 * S^11 ] R115.27 : Type {60,120}_8 Order 960 mV = 60 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^16 * R^-9 * S * R^-1 * S * R^-32 ] R115.28 : Type {94,235}_10 Order 940 mV = 235 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^-4 * R * S^5, S^5 * R^-7 * S * R^-1 * S * R^-32 ] R115.29 : Type {231,462}_2 Order 924 mV = 462 mF = 231 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^215 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R ] R115.30 : Type {232,232}_2 Order 928 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^109 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-106 * R ] R115.31 : Type {232,232}_4 Order 928 mV = 232 mF = 232 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^70 * R^-11 * S * R^-1 * S * R^-32 ] R115.32 : Type {460,460}_2 Order 920 mV = 460 mF = 460 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^103 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^10 * S^-1 * R^2 * S^-105 * R ] Genus 116 R116.1 : Type {4,234}_468 Order 1872 mV = 117 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^234 ] R116.2 : Type {4,464}_464 Order 1856 mV = 464 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^116 * R^2 * S^116 ] R116.3 : Type {6,118}_354 Order 1416 mV = 59 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^118 ] R116.4 : Type {6,348}_116 Order 1392 mV = 348 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^58 * R^2 * S^58 ] R116.5 : Type {8,156}_312 Order 1248 mV = 78 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^39 * R^4 * S^39 ] R116.6 : Type {10,60}_60 Order 1200 mV = 12 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^60 ] R116.7 : Type {10,60}_60 Order 1200 mV = 30 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R116.8 : Type {10,60}_60 Order 1200 mV = 30 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^60 ] R116.9 : Type {10,290}_58 Order 1160 mV = 290 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^29 * R * S^-3 * R * S^26 ] R116.10 : Type {12,30}_4 Order 1200 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^2 * R^2 * S^-2 * R^-2 * S^6 ] R116.11 : Type {15,20}_30 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R^3 * S^-3 * R, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-15 ] R116.12 : Type {16,68}_272 Order 1088 mV = 34 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^17 * R^-6 * S^6 * R^-1 * S^-1 * R * S^10 ] R116.13 : Type {18,261}_58 Order 1044 mV = 261 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^-15 * R * S * R^-1 * S^-13 ] R116.14 : Type {20,130}_52 Order 1040 mV = 65 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^13 * R^-1 * S^-8 * R * S^5 ] R116.15 : Type {24,44}_264 Order 1056 mV = 22 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^11 * R^5 * S^-4 * T * R^-2 * S * R^2 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R116.16 : Type {28,126}_36 Order 1008 mV = 63 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^-2 * S * R^-1 * S^2 * R^-21 * S, S^9 * R * S^-1 * R * S^8 ] R116.17 : Type {50,50}_10 Order 1000 mV = 25 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^6 * S * R^-4, S^-1 * R^3 * S^-10 * R^5 * S^-1 * R^12 * S^-3 * R^5 * S^-9 * R ] R116.18 : Type {60,240}_16 Order 960 mV = 240 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^-6 * R^16 * S^-1 * R * S^-1 * R^3 * S^-2 ] R116.19 : Type {118,236}_4 Order 944 mV = 236 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^-1 * R * S^2, S^72 * R^-11 * S * R^-1 * S * R^-32 ] R116.20 : Type {233,466}_2 Order 932 mV = 466 mF = 233 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^107 * R^-1 * S^2 * R^-10 * S * T * R * S^-1 * T * R^-108 * S ] R116.21 : Type {234,234}_2 Order 936 mV = 234 mF = 234 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^110 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-108 ] R116.22 : Type {464,464}_2 Order 928 mV = 464 mF = 464 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 * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-107 ] Genus 117 R117.1 : Type {4,120}_30 Order 1920 mV = 40 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^15 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R117.2 : Type {4,120}_60 Order 1920 mV = 30 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^30 * R^2 * S * R^-1 * S^-1 * R * S^28 ] R117.3 : Type {4,120}_60 Order 1920 mV = 40 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^15 * R * S^-2 * R * S^13 ] R117.4 : Type {4,120}_120 Order 1920 mV = 30 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^120 ] R117.5 : Type {4,120}_120 Order 1920 mV = 40 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^120 ] R117.6 : Type {4,120}_120 Order 1920 mV = 40 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^30 * R * S^-2 * R * S^28 ] R117.7 : Type {4,236}_236 Order 1888 mV = 118 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^236 ] R117.8 : Type {4,468}_234 Order 1872 mV = 468 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^117 * R^2 * S^117 ] R117.9 : Type {6,32}_96 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^32 ] R117.10 : Type {6,32}_96 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-5 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-6 ] R117.11 : Type {8,80}_80 Order 1280 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, 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^20 * R^3 * S^-2 * R * S^18 ] R117.12 : Type {8,80}_80 Order 1280 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, 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^20 * R^2 * S * R^-1 * S^-5 * R * S^14 ] R117.13 : Type {8,80}_80 Order 1280 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 * R^4 * S^20 ] R117.14 : Type {8,80}_80 Order 1280 mV = 20 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^80 ] R117.15 : Type {8,80}_80 Order 1280 mV = 40 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^10 * R * S^-5 * R * S^5 ] R117.16 : Type {8,80}_80 Order 1280 mV = 40 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^10 * R * S^-1 * R * S^9 ] R117.17 : Type {8,80}_80 Order 1280 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, 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^20 * R * S^-1 * R * S^19 ] R117.18 : Type {8,80}_80 Order 1280 mV = 40 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^80 ] R117.19 : Type {8,312}_78 Order 1248 mV = 312 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^39 * R * S^-2 * R * S^37 ] R117.20 : Type {8,312}_156 Order 1248 mV = 312 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^39 * R^2 * S^39 ] R117.21 : Type {12,14}_16 Order 1344 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^-4 * R^-2 * S * R^-2 * S^-2, R^12, R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-2 ] R117.22 : Type {14,273}_78 Order 1092 mV = 273 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^-20 * R * S^2 * R^-1 * S^-17 ] R117.23 : Type {20,28}_140 Order 1120 mV = 14 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^28 ] R117.24 : Type {20,260}_26 Order 1040 mV = 260 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^13 * R * S^-2 * R * S^11 ] R117.25 : Type {28,252}_18 Order 1008 mV = 252 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^-2 * S * R^-1 * S^2 * R^-21 * S, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R117.26 : Type {38,247}_26 Order 988 mV = 247 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^7 * R^-6 * S^6 ] R117.27 : Type {80,240}_6 Order 960 mV = 240 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^-2 * R * S^3, S * R^-1 * S^32 * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-28 * S ] R117.28 : Type {80,240}_12 Order 960 mV = 240 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-4 * R^24 * S^-1 * R * S^-1 * R^7 * S^-2 ] R117.29 : Type {120,120}_4 Order 960 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^2, R * S^-1 * R^95 * S^-2 * R^13 * S^-6 * R * S^-1 ] R117.30 : Type {120,120}_4 Order 960 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^39 * R^-2 * S * R^-14 * S ] R117.31 : Type {120,120}_4 Order 960 mV = 60 mF = 60 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^73 * R^-11 * S * R^-1 * S * R^-31 * S ] R117.32 : Type {120,120}_4 Order 960 mV = 60 mF = 60 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^-1 * R^29 * S^-3 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R117.33 : Type {120,120}_8 Order 960 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 * R^-2, S * R * S^-2 * R * S^3, R^-1 * S * R^-1 * S^5 * R^-1 * S * R^-20 ] R117.34 : Type {120,120}_8 Order 960 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 * R^-2, S * R * S^-2 * R * S^3, R^-1 * S^7 * R^-1 * S * R^-19 * S ] R117.35 : Type {158,237}_6 Order 948 mV = 237 mF = 79 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^33 * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-29 ] R117.36 : Type {235,470}_2 Order 940 mV = 470 mF = 235 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^108 * T * R^2 * S^-1 * T * S * R^-9 * S * T * R * S^-1 * T * R^-110 ] R117.37 : Type {236,236}_2 Order 944 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^111 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * S * R^-2 * T * S^-108 * R ] R117.38 : Type {468,468}_2 Order 936 mV = 468 mF = 468 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^110 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-107 * R ] Genus 118 R118.1 : Type {3,7}_26 Order 19656 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-3 * R * S^-2 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R118.2 : Type {4,7}_6 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (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 ] R118.3 : Type {4,7}_12 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R118.4 : Type {4,7}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-2)^2 ] R118.5 : Type {4,30}_60 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^30 ] R118.6 : Type {4,30}_60 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R118.7 : Type {4,238}_476 Order 1904 mV = 119 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^238 ] R118.8 : Type {4,472}_472 Order 1888 mV = 472 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^118 * R^2 * S^118 ] R118.9 : Type {5,12}_8 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R118.10 : Type {6,16}_48 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^16 ] R118.11 : Type {6,16}_48 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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^16 ] R118.12 : Type {6,42}_42 Order 1512 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-2 * R^-1 * S * R * S^-4 * R^2 * S^-4 * R * S * R^-1 * S^-2 ] R118.13 : Type {6,42}_42 Order 1512 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^42 ] R118.14 : Type {6,42}_42 Order 1512 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^42 ] R118.15 : Type {6,42}_42 Order 1512 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^42 ] R118.16 : Type {6,120}_120 Order 1440 mV = 40 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^120 ] R118.17 : Type {6,120}_120 Order 1440 mV = 60 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^20 * R * S^-1 * R * S^19 ] R118.18 : Type {6,120}_120 Order 1440 mV = 60 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^120 ] R118.19 : Type {6,354}_118 Order 1416 mV = 354 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^59 * R * S^-1 * R * S^58 ] R118.20 : Type {7,7}_12 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3 ] R118.21 : Type {7,7}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R118.22 : Type {7,7}_14 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R118.23 : Type {7,7}_14 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2 ] R118.24 : Type {7,7}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-1)^6 ] R118.25 : Type {7,7}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-1 * S * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 ] R118.26 : Type {9,36}_6 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S^4 * R^2 * S^-1 * R^-1 * S^7 ] R118.27 : Type {9,36}_6 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S^5 * R^-3 * S^7 ] R118.28 : Type {9,36}_18 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ R^9, 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 ] R118.29 : Type {10,295}_118 Order 1180 mV = 295 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-30 * R * S^2 * R^-1 * S^-27 ] R118.30 : Type {12,18}_12 Order 1296 mV = 3 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^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^5 * S^2 * R^-1 * S^-2 ] R118.31 : Type {12,18}_12 Order 1296 mV = 3 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, R^-1 * S * R * S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-2 ] R118.32 : Type {12,18}_12 Order 1296 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^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^12, (R * S^-1)^6 ] R118.33 : Type {12,18}_12 Order 1296 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, R^12, S * R * S^-5 * R * S^6 ] R118.34 : Type {12,18}_36 Order 1296 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^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^18 ] R118.35 : Type {12,18}_36 Order 1296 mV = 3 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^18 ] R118.36 : Type {12,18}_36 Order 1296 mV = 3 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^18 ] R118.37 : Type {12,18}_36 Order 1296 mV = 3 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, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R118.38 : Type {12,18}_36 Order 1296 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^-1 * R * S * R^-1, (R * S^-3 * R)^2, R^12 ] R118.39 : Type {12,96}_96 Order 1152 mV = 32 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 * R * S^-2 * R * S^22 ] R118.40 : Type {12,96}_96 Order 1152 mV = 48 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^-8 * R^-1 * S^2 * R^-1 * S^-4 * R^-4 * S^-2 ] R118.41 : Type {12,96}_96 Order 1152 mV = 48 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 * R^5 * S^-2 * R * S^22 ] R118.42 : Type {18,90}_30 Order 1080 mV = 30 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^15 * R * S^-5 * R * S^10 ] R118.43 : Type {18,90}_30 Order 1080 mV = 45 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, R * S^-1 * R^-7 * S^-1 * R^4, S^-2 * R^-1 * S^3 * R^4 * S^3 * R^-1 * S^-2, R^-1 * S^2 * T * R^7 * S^-1 * R^4 * T * S * R^-2 ] R118.44 : Type {20,60}_6 Order 1080 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^-1 * R * S^-1 * R, S * R * S^-3 * R * S^4 ] R118.45 : Type {24,66}_88 Order 1056 mV = 33 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^11 * R * S^-1 * R * S^10 ] R118.46 : Type {30,30}_6 Order 1080 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-3 * R)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R118.47 : Type {30,30}_6 Order 1080 mV = 5 mF = 5 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 * S^-2 * R * S^-2 * R * S^-1 * R^3 * S^-1 * R^12 * S^-6 ] R118.48 : Type {30,30}_6 Order 1080 mV = 5 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R^2 * S^-7 * R^10 * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 ] R118.49 : Type {36,126}_28 Order 1008 mV = 63 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^7 * R^-4 * S^7 ] R118.50 : Type {42,84}_12 Order 1008 mV = 28 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R^29 * S^-2 * R * S^-2 * R^8 ] R118.51 : Type {42,84}_12 Order 1008 mV = 42 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, R * S^-1 * R^-7 * S^-1 * R^4, R^-7 * S * R^-3 * S * R^-5 * S * R^-9 * S * R^-5 * S^8 * R^-1 ] R118.52 : Type {42,84}_12 Order 1008 mV = 42 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^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R118.53 : Type {81,162}_6 Order 972 mV = 81 mF = 27 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^33 * R^-1 * S^8 * R^-6 * S * R^-13 * S * R^-5 * S^11 ] R118.54 : Type {237,474}_2 Order 948 mV = 474 mF = 237 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^215 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-3 * T ] R118.55 : Type {238,238}_2 Order 952 mV = 238 mF = 238 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^114 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-108 ] R118.56 : Type {472,472}_2 Order 944 mV = 472 mF = 472 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^111 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * S * R^-2 * T * S^-109 ] Genus 119 R119.1 : Type {4,240}_240 Order 1920 mV = 120 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^60 * R * S^-1 * R * S^59 ] R119.2 : Type {4,240}_240 Order 1920 mV = 120 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^240 ] R119.3 : Type {4,476}_238 Order 1904 mV = 476 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^119 * R^2 * S^119 ] R119.4 : Type {6,357}_238 Order 1428 mV = 357 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-60 * R * S * R^-1 * S^-58 ] R119.5 : Type {8,42}_42 Order 1344 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^42 ] R119.6 : Type {8,42}_84 Order 1344 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^42 ] R119.7 : Type {8,160}_160 Order 1280 mV = 80 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^40 * R * S^-1 * R * S^39 ] R119.8 : Type {8,160}_160 Order 1280 mV = 80 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^40 * R^4 * S^40 ] R119.9 : Type {16,36}_144 Order 1152 mV = 9 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^36 ] R119.10 : Type {16,36}_144 Order 1152 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^36 ] R119.11 : Type {16,272}_34 Order 1088 mV = 272 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^17 * R^2 * S^17 ] R119.12 : Type {16,272}_68 Order 1088 mV = 272 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^17 * R * S^-4 * R * S^13 ] R119.13 : Type {24,88}_66 Order 1056 mV = 44 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^11 * R^5 * S^-5 * R^-1 * S^6 ] R119.14 : Type {24,88}_132 Order 1056 mV = 44 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^11 * R^5 * S^-6 * R * S^5 ] R119.15 : Type {30,255}_34 Order 1020 mV = 255 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^23 * S^-2 * R * S^-2 * R^2, S^-9 * R * S * R^-1 * S^-7 ] R119.16 : Type {36,252}_14 Order 1008 mV = 252 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^-1 * S^6 * R^-1 * S^-2, R^-1 * S * R^-3 * S^2 * R^-1 * S^2 * R^-25 * S ] R119.17 : Type {239,478}_2 Order 956 mV = 478 mF = 239 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^108 * T * R * S^-1 * R * T * S * R^-9 * S * T * R * S^-1 * T * R^-114 ] R119.18 : Type {240,240}_2 Order 960 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^115 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-108 * R ] R119.19 : Type {240,240}_4 Order 960 mV = 240 mF = 240 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^74 * R^-11 * S * R^-1 * S * R^-32 ] R119.20 : Type {476,476}_2 Order 952 mV = 476 mF = 476 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^114 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-107 * R ] Genus 120 R120.1 : Type {3,34}_6 Order 3468 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^34 ] R120.2 : Type {4,123}_246 Order 1968 mV = 41 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-123 ] R120.3 : Type {4,242}_484 Order 1936 mV = 121 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^242 ] R120.4 : Type {4,480}_480 Order 1920 mV = 480 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^120 * R^2 * S^120 ] R120.5 : Type {6,122}_366 Order 1464 mV = 61 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^122 ] R120.6 : Type {8,14}_8 Order 1568 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S ] R120.7 : Type {8,14}_8 Order 1568 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S ] R120.8 : Type {8,14}_8 Order 1568 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^14 ] R120.9 : Type {8,82}_328 Order 1312 mV = 41 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^82 ] R120.10 : Type {10,62}_310 Order 1240 mV = 31 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^62 ] R120.11 : Type {12,50}_300 Order 1200 mV = 25 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^50 ] R120.12 : Type {14,42}_42 Order 1176 mV = 6 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^42 ] R120.13 : Type {14,42}_42 Order 1176 mV = 21 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^14, R^3 * S^-1 * R^4 * S^-5 * R ] R120.14 : Type {14,42}_42 Order 1176 mV = 21 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^42 ] R120.15 : Type {14,280}_40 Order 1120 mV = 280 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^20 * R * S^-5 * R * S^15 ] R120.16 : Type {17,34}_34 Order 1156 mV = 17 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^-17 ] R120.17 : Type {18,32}_288 Order 1152 mV = 16 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^32 ] R120.18 : Type {22,26}_286 Order 1144 mV = 13 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^26 ] R120.19 : Type {22,264}_24 Order 1056 mV = 264 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^12 * R^2 * S^12 ] R120.20 : Type {24,132}_88 Order 1056 mV = 66 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^11 * R^4 * S^11 ] R120.21 : Type {26,260}_20 Order 1040 mV = 260 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^-1 * S^2 * R^-21 * S, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R120.22 : Type {34,255}_30 Order 1020 mV = 255 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^7 * R^-2 * S^8 ] R120.23 : Type {62,248}_8 Order 992 mV = 248 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^-3 * R * S^4, S^15 * R^-17 * T * R^10 * S^-1 * R * T * S * R^-2 * S * R^-1 * S * R^-11 * S ] R120.24 : Type {82,246}_6 Order 984 mV = 246 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, R^64 * S^-1 * R * S^-2 * R * S^-1 * R^12 ] R120.25 : Type {98,245}_10 Order 980 mV = 245 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^-4 * R * S^5, S^-4 * R^30 * S^-1 * R * S^-1 * R^11 * S^-1 ] R120.26 : Type {122,244}_4 Order 976 mV = 244 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^-1 * R * S^2, R^108 * S^-1 * R * S^-1 * R^11 ] R120.27 : Type {123,123}_4 Order 984 mV = 41 mF = 41 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^8 * R^-13 * S^2 * R^-98 ] R120.28 : Type {241,482}_2 Order 964 mV = 482 mF = 241 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^109 * T * R * S^-1 * R * T * S * R^-9 * S * T * R * S^-1 * T * R^-114 * S ] R120.29 : Type {242,242}_2 Order 968 mV = 242 mF = 242 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^220 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T ] R120.30 : Type {480,480}_2 Order 960 mV = 480 mF = 480 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^115 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-109 ] Genus 121 R121.1 : Type {3,21}_8 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 ] R121.2 : Type {3,30}_12 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R^-1 * S^5 * R * S^-1 * R * S^-6 * R * S^-1, (S * R^-1 * S)^6, S^2 * R * S^-8 * R^-1 * S^7 * R^-1 * S^-2 * R * S ] R121.3 : Type {4,6}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1 ] R121.4 : Type {4,6}_30 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, R^-1 * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S ] R121.5 : Type {4,6}_120 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R121.6 : Type {4,12}_30 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S^12, S^2 * R * S^-3 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S ] R121.7 : Type {4,12}_60 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^12 ] R121.8 : Type {4,14}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * 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^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R121.9 : Type {4,24}_4 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, S^-24 ] R121.10 : Type {4,24}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 * R * S^-3 ] R121.11 : Type {4,24}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-1)^12 ] R121.12 : Type {4,24}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, 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^3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^4 ] R121.13 : Type {4,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^64 ] R121.14 : Type {4,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^16 * R * S^-3 * R * S^13 ] R121.15 : Type {4,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^16 * R * S^-3 * R * S^13 ] R121.16 : Type {4,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^16 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^7 ] R121.17 : Type {4,84}_28 Order 2016 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^14 * R^2 * S * R^-1 * S^-1 * R * S^12 ] R121.18 : Type {4,124}_124 Order 1984 mV = 31 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^124 ] R121.19 : Type {4,244}_244 Order 1952 mV = 122 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^244 ] R121.20 : Type {4,484}_242 Order 1936 mV = 484 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^121 * R^2 * S^121 ] R121.21 : Type {6,6}_10 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-1 * R)^4, (R * S^-2)^4 ] R121.22 : Type {6,6}_12 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-1 * R^2 * S^-1 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1 ] R121.23 : Type {6,6}_12 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ] R121.24 : Type {6,6}_12 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2 ] R121.25 : Type {6,8}_4 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, 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 * R)^4, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R ] R121.26 : Type {6,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^4 * R^-2 * S ] R121.27 : Type {6,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^4 ] R121.28 : Type {6,12}_12 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1 ] R121.29 : Type {6,18}_18 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R * S^-3 * R^3 * S^3 * R^-1 * S^-2, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^4 ] R121.30 : Type {6,18}_72 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^18 ] R121.31 : Type {6,33}_132 Order 1584 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-33 ] R121.32 : Type {6,48}_16 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R^-1 * S^-6 * R^-1 * S * R^2 * S * R^-2 * S^7 ] R121.33 : Type {6,93}_124 Order 1488 mV = 31 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-16 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-12 ] R121.34 : Type {6,123}_246 Order 1476 mV = 41 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-123 ] R121.35 : Type {6,363}_242 Order 1452 mV = 363 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-61 * R^2 * S^-60 ] R121.36 : Type {12,12}_6 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, R * S^-2 * R^4 * S * R^-2 * S^-2 ] R121.37 : Type {12,12}_6 Order 1440 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^2 * R^-1 * S, R^12, S^-1 * R^6 * S^-5 ] R121.38 : Type {12,12}_10 Order 1440 mV = 2 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^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R121.39 : Type {12,12}_10 Order 1440 mV = 2 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^-1 * R * S^-1 * R * S^4, R^12 ] R121.40 : Type {14,14}_6 Order 1344 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, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R121.41 : Type {15,30}_20 Order 1200 mV = 5 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, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S * R^4 * S^-1 * R^-5 * S^-2, R^-15 ] R121.42 : Type {16,48}_4 Order 1152 mV = 8 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 ] R121.43 : Type {16,48}_4 Order 1152 mV = 8 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1, R^16 ] R121.44 : Type {16,48}_8 Order 1152 mV = 8 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 ] R121.45 : Type {16,48}_8 Order 1152 mV = 8 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 ] R121.46 : Type {18,36}_8 Order 1152 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^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-2 * S * T * R * S^-3 * R^3 * S^-2 * R * S^-2 * T * S^2 * R^-1 ] R121.47 : Type {18,36}_8 Order 1152 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^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R, R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R121.48 : Type {24,24}_6 Order 1152 mV = 4 mF = 6 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 * R * S^-2 * R^3 * S^3 * R^-2 ] R121.49 : Type {24,24}_6 Order 1152 mV = 8 mF = 6 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^2 * R^-1 * S * R^-2 * S * R^-2 * S * R^-5 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S ] R121.50 : Type {24,24}_12 Order 1152 mV = 4 mF = 6 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^-2 * R^5 * S^3 * R^-1 * S^-1 ] R121.51 : Type {24,24}_12 Order 1152 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^-1 * S^5 * R^-1 * S * R^-12 * S^3 ] R121.52 : Type {24,24}_12 Order 1152 mV = 4 mF = 8 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^8 * S^-1 * R^2 * S^-1, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R121.53 : Type {24,24}_12 Order 1152 mV = 6 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^-3 * S * R^4 * S * R^-3 * S^-1 * R, R^-2 * S * R^-5 * S * R^-6 * S * R^-5 * S * R^-2 ] R121.54 : Type {24,24}_12 Order 1152 mV = 6 mF = 6 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^-1 * S^4 * T * S^-1 * R^-1 * S * R^10 * S^3 * T * S^-3 ] R121.55 : Type {24,24}_12 Order 1152 mV = 6 mF = 8 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^8 * S^-1 * R^2 * S^-1 ] R121.56 : Type {24,24}_24 Order 1152 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^-1 * R^6 * S^-5, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R121.57 : Type {24,24}_24 Order 1152 mV = 4 mF = 8 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^8 * S^-1 * R^2 * S^-1, S * R^6 * S^5, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R121.58 : Type {24,24}_24 Order 1152 mV = 6 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^-11 * S^2 * R^-1 * S^-2 ] R121.59 : Type {24,24}_24 Order 1152 mV = 6 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 * S^-3 * R * S^4, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, R^-4 * S^2 * R^-6 * S^-1 * R * S * R^-1 ] R121.60 : Type {24,24}_24 Order 1152 mV = 6 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, S * R^7 * S * R^-5, R^-15 * S * R^-5 * S * R^-2 ] R121.61 : Type {24,24}_24 Order 1152 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^2 * S^-4, R^-9 * S^-1 * R * S * R^-2 * S^-2 ] R121.62 : Type {24,24}_24 Order 1152 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-9 * S^-1 * R * S * R^-2 * S^-2 ] R121.63 : Type {24,24}_24 Order 1152 mV = 6 mF = 6 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^-1 * S^4 * T * S^-1 * R^-1 * S * R^8 * S * R^-1 * S^-3 * T * R^-1 * S^-2 ] R121.64 : Type {24,24}_24 Order 1152 mV = 6 mF = 6 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^-1 * S * R^8 * S * R^-2 * S^-2 * R^-1, S^6 * R * S^-1 * R^2 * S^-1 * R * S^4 ] R121.65 : Type {24,24}_24 Order 1152 mV = 6 mF = 8 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^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-1 * S^-1 * R^2 * S^-1 * R^-9 ] R121.66 : Type {24,24}_24 Order 1152 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, S * R * S^-3 * R * S^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-8 * S^-2 ] R121.67 : Type {24,24}_24 Order 1152 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 * S^2, R^-1 * S * R^-5 * S * R^-8 * S * R^-5 * S * R^-1, R^24 ] R121.68 : Type {24,24}_24 Order 1152 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^24 ] R121.69 : Type {24,24}_24 Order 1152 mV = 12 mF = 6 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^24 ] R121.70 : Type {24,24}_24 Order 1152 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, R^24, S^24 ] R121.71 : Type {24,264}_22 Order 1056 mV = 264 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^10 * R^-1 * S^-10 ] R121.72 : Type {24,264}_44 Order 1056 mV = 264 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^11 * R * S^-4 * R * S^7 ] R121.73 : Type {46,253}_22 Order 1012 mV = 253 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^12 * S^-5 ] R121.74 : Type {63,126}_4 Order 1008 mV = 42 mF = 21 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^42 * R^-1 * S * R^-1 * S * R^-14 ] R121.75 : Type {64,64}_4 Order 1024 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, R^2 * S^-1 * R^36 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R^2 * S^-1 * R ] R121.76 : Type {64,64}_4 Order 1024 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 * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^-2 * S^10 * R^-3 * S * R^-12 * S^2 * R^-1 ] R121.77 : Type {64,64}_8 Order 1024 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^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^3 * R^-3 * S^2 * R^-1 * S * R^-2 * S * R^-9 * S * R^-3 * S * R^-4 * S ] R121.78 : Type {64,64}_8 Order 1024 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-2 * R^6 * S^-1 * R^2 * S^-1 * R * T * S * R^-10 * S * T * S^-6 * R ] R121.79 : Type {64,64}_8 Order 1024 mV = 16 mF = 32 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 * R^-2 * S^2 * R^-1 * S^2 * R^-13 * S * R^-5 * S * R^-2 * S ] R121.80 : Type {64,64}_8 Order 1024 mV = 16 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, R^50 * S^-2 * R * S^-2 * R^9 ] R121.81 : Type {64,64}_16 Order 1024 mV = 16 mF = 32 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^-4 * S^2 * R^-1 * S^2 * R^-13 * S * R^-3 * S * R^-5 ] R121.82 : Type {64,64}_16 Order 1024 mV = 16 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^6 * R^-24 * S^2 ] R121.83 : Type {84,84}_6 Order 1008 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 * S^2, S * R^4 * S * R^-2, S^42 * R^-1 * S^7 * R^-3 * S * R^-2 * S * R^-12 * S * R^-5 * S^8 * R^-1 ] R121.84 : Type {84,84}_6 Order 1008 mV = 42 mF = 42 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 * R^-1 * S^3 * R^-3 * S * R^-8 * S * R^-5 * S * R^-1 * S ] R121.85 : Type {124,124}_4 Order 992 mV = 62 mF = 62 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^109 * S^-1 * R * S^-1 * R^12 ] R121.86 : Type {243,486}_2 Order 972 mV = 486 mF = 243 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^222 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R121.87 : Type {244,244}_2 Order 976 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^-1 * S^223 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R121.88 : Type {484,484}_2 Order 968 mV = 484 mF = 484 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^221 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T ] Genus 122 R122.1 : Type {4,246}_492 Order 1968 mV = 123 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^246 ] R122.2 : Type {4,488}_488 Order 1952 mV = 488 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^122 * R^2 * S^122 ] R122.3 : Type {5,10}_22 Order 2420 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^2 * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-4 * R ] R122.4 : Type {5,10}_22 Order 2420 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-4 ] R122.5 : Type {6,6}_22 Order 2904 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * 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 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R122.6 : Type {6,124}_372 Order 1488 mV = 62 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^124 ] R122.7 : Type {6,366}_122 Order 1464 mV = 366 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^61 * R^2 * S^61 ] R122.8 : Type {8,164}_328 Order 1312 mV = 82 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^41 * R^4 * S^41 ] R122.9 : Type {10,305}_122 Order 1220 mV = 305 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-31 * R * S^3 * R^-1 * S^-27 ] R122.10 : Type {20,56}_280 Order 1120 mV = 28 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^14 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^5 ] R122.11 : Type {33,88}_12 Order 1056 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^-3 * R * S^4, S^2 * R^-4 * S^3 * R^-1 * S ] R122.12 : Type {124,248}_8 Order 992 mV = 248 mF = 62 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^13 * R^-17 * T * R^10 * S^-1 * R * T * S * R^-2 * S * R^-1 * S * R^-12 ] R122.13 : Type {245,490}_2 Order 980 mV = 490 mF = 245 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^224 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R122.14 : Type {246,246}_2 Order 984 mV = 246 mF = 246 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^225 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R122.15 : Type {488,488}_2 Order 976 mV = 488 mF = 488 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^223 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 123 R123.1 : Type {4,126}_126 Order 2016 mV = 42 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^126 ] R123.2 : Type {4,248}_248 Order 1984 mV = 124 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^62 * R * S^-1 * R * S^61 ] R123.3 : Type {4,248}_248 Order 1984 mV = 124 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^248 ] R123.4 : Type {4,492}_246 Order 1968 mV = 492 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^123 * R^2 * S^123 ] R123.5 : Type {8,84}_42 Order 1344 mV = 28 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^21 * R^4 * S^21 ] R123.6 : Type {8,84}_84 Order 1344 mV = 28 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^21 * R * S^-2 * R * S^19 ] R123.7 : Type {8,84}_168 Order 1344 mV = 21 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^84 ] R123.8 : Type {8,84}_168 Order 1344 mV = 42 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^84 ] R123.9 : Type {8,328}_82 Order 1312 mV = 328 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^41 * R^2 * S^41 ] R123.10 : Type {8,328}_164 Order 1312 mV = 328 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^41 * R * S^-2 * R * S^39 ] R123.11 : Type {12,39}_104 Order 1248 mV = 13 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^-1 * S * R * S^-1 * R^4 * S^-7 ] R123.12 : Type {12,100}_150 Order 1200 mV = 50 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^25 * R^6 * S^25 ] R123.13 : Type {14,287}_82 Order 1148 mV = 287 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 * R * S^3 * R^-1 * S^-17 ] R123.14 : Type {16,72}_144 Order 1152 mV = 36 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 * R^-6 * S^6 * R^-1 * S^-1 * R * S^11 ] R123.15 : Type {16,72}_144 Order 1152 mV = 36 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^18 * R * S^-1 * R * S^17 ] R123.16 : Type {33,132}_8 Order 1056 mV = 44 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^-2 * R * S^3, R^-1 * S^13 * R^-17 * S * R^-1 ] R123.17 : Type {44,66}_6 Order 1056 mV = 22 mF = 11 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^3 * R^-1 * S * R^-1 * S^2 * R^-8 * S * R^-2 * S * R^-1 ] R123.18 : Type {126,126}_4 Order 1008 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^2, R * S^-1 * R^98 * S^-2 * R^13 * S^-9 * R * S^-1 ] R123.19 : Type {166,249}_6 Order 996 mV = 249 mF = 83 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^34 * R^-17 * T * R^10 * S^-1 * R * T * R^-2 * S^2 * R^-1 * S * R^-12 ] R123.20 : Type {247,494}_2 Order 988 mV = 494 mF = 247 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^226 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R123.21 : Type {248,248}_2 Order 992 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^-1 * S^227 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R123.22 : Type {248,248}_4 Order 992 mV = 248 mF = 248 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^108 * S^-1 * R * S^-1 * R^11 * S^-1 ] R123.23 : Type {492,492}_2 Order 984 mV = 492 mF = 492 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^225 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 124 R124.1 : Type {4,45}_18 Order 2160 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2 ] R124.2 : Type {4,250}_500 Order 2000 mV = 125 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^250 ] R124.3 : Type {4,496}_496 Order 1984 mV = 496 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^124 * R^2 * S^124 ] R124.4 : Type {6,44}_44 Order 1584 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^44 ] R124.5 : Type {6,126}_126 Order 1512 mV = 42 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^126 ] R124.6 : Type {6,126}_126 Order 1512 mV = 63 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^126 ] R124.7 : Type {6,372}_124 Order 1488 mV = 372 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^62 * R * S^-1 * R * S^61 ] R124.8 : Type {8,30}_6 Order 1440 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ] R124.9 : Type {8,30}_40 Order 1440 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-2 * R^2 * S^-2 * R^-2 * S^-6 ] R124.10 : Type {10,64}_320 Order 1280 mV = 32 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^64 ] R124.11 : Type {10,310}_62 Order 1240 mV = 310 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^31 * R^2 * S^31 ] R124.12 : Type {12,27}_54 Order 1296 mV = 9 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^-27 ] R124.13 : Type {12,150}_100 Order 1200 mV = 75 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^25 * R * S^-3 * R * S^22 ] R124.14 : Type {14,16}_8 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-5 * S * R^-1 * S^-1 * R * S, (R * S^-3 * R^2)^2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R124.15 : Type {14,16}_12 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S * R^-4 * S * R^-1 * S^-1 * R * S^-1, S * R^-1 * S * R^4 * S * R^-1 * S^3 ] R124.16 : Type {18,279}_62 Order 1116 mV = 279 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^-16 * R * S^2 * R^-1 * S^-13 ] R124.17 : Type {28,40}_280 Order 1120 mV = 20 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-5 * T * S^4 * T * S^-1 * R^-11 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R124.18 : Type {30,90}_18 Order 1080 mV = 30 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^24 * S^-1 * R * S^-1 * R^3, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R124.19 : Type {30,90}_18 Order 1080 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^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S^9 * R * S^-3 * R * S^6 ] R124.20 : Type {45,45}_6 Order 1080 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (S * R^-1 * S)^3, S * R^5 * S^4 ] R124.21 : Type {52,130}_20 Order 1040 mV = 65 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^7 * R^-16 * S^3 ] R124.22 : Type {126,252}_4 Order 1008 mV = 252 mF = 63 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^84 * R^-8 * S^2 * R^-1 * S^2 * R^-29 ] R124.23 : Type {249,498}_2 Order 996 mV = 498 mF = 249 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^228 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R124.24 : Type {250,250}_2 Order 1000 mV = 250 mF = 250 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^229 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R124.25 : Type {496,496}_2 Order 992 mV = 496 mF = 496 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^227 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 125 R125.1 : Type {4,35}_70 Order 2240 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-35 ] R125.2 : Type {4,66}_132 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^66 ] R125.3 : Type {4,128}_128 Order 2048 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^128 ] R125.4 : Type {4,128}_128 Order 2048 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^32 * R^2 * S * R^-1 * S^-1 * R * S^30 ] R125.5 : Type {4,252}_252 Order 2016 mV = 126 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^252 ] R125.6 : Type {4,500}_250 Order 2000 mV = 500 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^125 * R^2 * S^125 ] R125.7 : Type {6,96}_32 Order 1536 mV = 32 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^7 * R * S^-1 * R^-2 * S^-1 * R * S^7 ] R125.8 : Type {6,96}_32 Order 1536 mV = 32 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^16 * R * S^-1 * R^2 * S^-4 * R * S^11 ] R125.9 : Type {6,375}_250 Order 1500 mV = 375 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-63 * R * S * R^-1 * S^-61 ] R125.10 : Type {8,44}_44 Order 1408 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^44 ] R125.11 : Type {8,44}_88 Order 1408 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, 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^44 ] R125.12 : Type {8,168}_84 Order 1344 mV = 84 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^42 * R * S^-1 * R * S^41 ] R125.13 : Type {8,168}_84 Order 1344 mV = 84 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^42 * R^4 * S^42 ] R125.14 : Type {12,52}_156 Order 1248 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^52 ] R125.15 : Type {12,300}_50 Order 1200 mV = 300 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^25 * R^2 * S^25 ] R125.16 : Type {16,20}_80 Order 1280 mV = 5 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^20 ] R125.17 : Type {16,20}_80 Order 1280 mV = 5 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^16, S^20 ] R125.18 : Type {16,144}_36 Order 1152 mV = 72 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^18 * R * S^-1 * R * S^17 ] R125.19 : Type {16,144}_36 Order 1152 mV = 72 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^18 * R * S^-5 * R * S^13 ] R125.20 : Type {16,144}_72 Order 1152 mV = 72 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^18 * R * S^-5 * R * S^13 ] R125.21 : Type {16,144}_72 Order 1152 mV = 72 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^18 * R * S^-1 * R * S^17 ] R125.22 : Type {18,72}_4 Order 1152 mV = 24 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^4, S^-1 * R^2 * T * R^-5 * S * R^-3 * S^2 * R^-1 * T * R * S^-2 ] R125.23 : Type {18,72}_8 Order 1152 mV = 24 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R * S^-2 * R * S^-1 * R^12 * S^-1 ] R125.24 : Type {20,140}_28 Order 1120 mV = 70 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^14 * R * S^-3 * R * S^11 ] R125.25 : Type {22,275}_50 Order 1100 mV = 275 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^-13 * R * S^7 * R^-1 * S^-5 ] R125.26 : Type {35,35}_4 Order 1120 mV = 7 mF = 7 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^17 * S^-1 * R * S^-1 * R^11 ] R125.27 : Type {44,132}_12 Order 1056 mV = 66 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^-1 * S^5 * R^-1 * S^-2, R^-9 * S^2 * R^-1 * S^2 * R^-30 ] R125.28 : Type {52,260}_10 Order 1040 mV = 260 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^-4 * R * S^5, R^38 * S^-2 * R * S^-2 * R^9 ] R125.29 : Type {66,66}_4 Order 1056 mV = 22 mF = 22 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^45 * R^-1 * S * R^-1 * S * R^-13 * S ] R125.30 : Type {102,255}_10 Order 1020 mV = 255 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^-4 * R * S^5, S^-4 * R^33 * S^-2 * R * S^-2 * R^8 * S^-1 ] R125.31 : Type {128,128}_4 Order 1024 mV = 64 mF = 64 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^-1 * R^36 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-3 ] R125.32 : Type {128,128}_4 Order 1024 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^114 * S^-2 * R * S^-2 * R^9 ] R125.33 : Type {128,128}_8 Order 1024 mV = 64 mF = 64 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, S^-1 * R^22 * S^-7 * R^3 * S^-1 * R * S^-2 * T * R^-3 * S * R^-8 * T * S^-1 * R^5 * S^-9 ] R125.34 : Type {251,502}_2 Order 1004 mV = 502 mF = 251 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^110 * R^-4 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-121 ] R125.35 : Type {252,252}_2 Order 1008 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, R^122 * T * S^2 * T * R^10 * T * R^-3 * T * R^4 * S^-110 * R ] R125.36 : Type {500,500}_2 Order 1000 mV = 500 mF = 500 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^229 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 126 R126.1 : Type {4,129}_258 Order 2064 mV = 43 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-129 ] R126.2 : Type {4,254}_508 Order 2032 mV = 127 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^254 ] R126.3 : Type {4,504}_504 Order 2016 mV = 504 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^126 * R^2 * S^126 ] R126.4 : Type {5,10}_10 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * R * S^2 ] R126.5 : Type {5,10}_10 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (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^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] R126.6 : Type {6,128}_384 Order 1536 mV = 64 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^128 ] R126.7 : Type {8,86}_344 Order 1376 mV = 43 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^86 ] R126.8 : Type {10,15}_6 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-1 * R * S ] R126.9 : Type {10,15}_6 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R^-3 * S * R^-1)^3 ] R126.10 : Type {10,15}_30 Order 1500 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-15 ] R126.11 : Type {10,15}_30 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-15 ] R126.12 : Type {10,15}_30 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R^-2 * S)^3 ] R126.13 : Type {10,15}_30 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 ] R126.14 : Type {10,15}_30 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3, R^-1 * S * R^2 * S^-1 * R^4 * S * R^-1 * S^-1 * R * S * R^-1 ] R126.15 : Type {10,65}_130 Order 1300 mV = 13 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-65 ] R126.16 : Type {10,315}_126 Order 1260 mV = 315 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-32 * R^2 * S^-31 ] R126.17 : Type {14,44}_308 Order 1232 mV = 22 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^44 ] R126.18 : Type {16,38}_304 Order 1216 mV = 19 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^38 ] R126.19 : Type {20,30}_10 Order 1200 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-1 * R * S^-1 * R, S^-2 * R^4 * S^-4 ] R126.20 : Type {20,30}_60 Order 1200 mV = 3 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^30 ] R126.21 : Type {20,30}_60 Order 1200 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, S^-1 * R^2 * S^-1 * R^2 * S^-4, R^20 ] R126.22 : Type {20,30}_60 Order 1200 mV = 15 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^30 ] R126.23 : Type {20,280}_56 Order 1120 mV = 280 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^14 * R^-2 * S^14 ] R126.24 : Type {26,273}_42 Order 1092 mV = 273 mF = 13 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^-21 * S * R^-1, S^-11 * R * S^4 * R^-1 * S^-6 ] R126.25 : Type {38,266}_14 Order 1064 mV = 266 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^-6 * R^-1 * S^6 * R^-1 * S^-2, R^27 * S^-2 * R * S^-2 * R^6 ] R126.26 : Type {44,264}_24 Order 1056 mV = 264 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^8 * S^-4 * R^2 * S^-2 ] R126.27 : Type {58,261}_18 Order 1044 mV = 261 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-6 * R^15 * S^-2 * R * S^-5 ] R126.28 : Type {66,88}_12 Order 1056 mV = 22 mF = 22 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, R^-1 * S * R^-4 * S * R^-1 * S * R^-1 * S ] R126.29 : Type {66,88}_24 Order 1056 mV = 44 mF = 33 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^-4 * R^3 * S^-1 * R^9 * S^-5 ] R126.30 : Type {74,259}_14 Order 1036 mV = 259 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^4 * R^-1 * S * R^-1 * S^2 * R^-26 * S^2 ] R126.31 : Type {86,258}_6 Order 1032 mV = 258 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, R^70 * S^-1 * R^2 * S^-1 * R * S^-2 * R^9 ] R126.32 : Type {129,129}_4 Order 1032 mV = 43 mF = 43 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^11 * R^-13 * S^2 * R^-101 ] R126.33 : Type {170,255}_6 Order 1020 mV = 255 mF = 85 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^67 * S^-1 * R^2 * S^-1 * R * S^-2 * R^8 * S^-1 ] R126.34 : Type {253,506}_2 Order 1012 mV = 506 mF = 253 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^113 * R^-17 * T * S^-2 * T * R^-119 * S ] R126.35 : Type {254,254}_2 Order 1016 mV = 254 mF = 254 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^112 * R^-17 * T * S^-2 * T * R^-122 ] R126.36 : Type {504,504}_2 Order 1008 mV = 504 mF = 504 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^122 * T * S^2 * T * R^10 * T * R^-3 * T * R^4 * S^-111 ] Genus 127 R127.1 : Type {4,7}_56 Order 4704 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^3 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2 ] R127.2 : Type {4,18}_6 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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)^6 ] R127.3 : Type {4,18}_18 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-4 * R * S^-1)^2 ] R127.4 : Type {4,32}_96 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^32 ] R127.5 : Type {4,32}_96 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^4 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^2 ] R127.6 : Type {4,60}_30 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^15 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R127.7 : Type {4,60}_30 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R^3 * S^-1 * R * S^2 * R^-1 * S^-2 ] R127.8 : Type {4,256}_256 Order 2048 mV = 128 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^64 * R * S^-1 * R * S^63 ] R127.9 : Type {4,256}_256 Order 2048 mV = 128 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^256 ] R127.10 : Type {4,508}_254 Order 2032 mV = 508 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^127 * R^2 * S^127 ] R127.11 : Type {5,8}_16 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S ] R127.12 : Type {5,15}_10 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (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^-1 * S * R^-1 * S * R^-2 * S^4 * R^-2 ] R127.13 : Type {6,12}_8 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1 ] R127.14 : Type {6,12}_24 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R^-2 * S)^3, S^12 ] R127.15 : Type {6,24}_6 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^4 * R^2 * S^-1 * R^2 * S^7 ] R127.16 : Type {6,24}_6 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R127.17 : Type {6,24}_6 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R * S^-1 * R * S^-2 * R * S^-1 * R * S^-6 ] R127.18 : Type {6,24}_12 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ] R127.19 : Type {6,24}_12 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (S^-1 * R^2 * S^-1)^3, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] R127.20 : Type {6,24}_12 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^-2, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] R127.21 : Type {6,45}_30 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^2 * R * S^-11 * R * S^2 ] R127.22 : Type {6,45}_30 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^-1 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^4 ] R127.23 : Type {6,45}_90 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-45 ] R127.24 : Type {6,45}_90 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, R * S^6 * R * S^-1 * R^2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R127.25 : Type {6,129}_258 Order 1548 mV = 43 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-129 ] R127.26 : Type {6,381}_254 Order 1524 mV = 381 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-64 * R^2 * S^-63 ] R127.27 : Type {7,7}_6 Order 2352 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R127.28 : Type {8,12}_24 Order 1728 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R127.29 : Type {8,12}_24 Order 1728 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, S^12, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R127.30 : Type {8,12}_24 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^12 ] R127.31 : Type {8,12}_24 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^6, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1 ] R127.32 : Type {8,12}_24 Order 1728 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^12, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R127.33 : Type {8,12}_24 Order 1728 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R127.34 : Type {8,12}_24 Order 1728 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (R * S^-1)^6 ] R127.35 : Type {8,12}_24 Order 1728 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^6, S^12 ] R127.36 : Type {8,40}_30 Order 1440 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-2 * S^2 * R * S^-1 * R^-2 * S^-6 ] R127.37 : Type {8,40}_60 Order 1440 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-2 ] R127.38 : Type {12,15}_20 Order 1440 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, R^12, S * R * S^-4 * R * S^5, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^3 ] R127.39 : Type {12,15}_60 Order 1440 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R^-4 * S^3 * R^-1 * S^-1, R^12 ] R127.40 : Type {12,15}_120 Order 1440 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-15 ] R127.41 : Type {12,36}_6 Order 1296 mV = 6 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R * S^-2 * R^4 * S^-2 * R * S^2, (R * S^-1)^6 ] R127.42 : Type {12,36}_6 Order 1296 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-5 * R * S^6 ] R127.43 : Type {12,36}_6 Order 1296 mV = 12 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, (R * S^-1 * R^4)^2 ] R127.44 : Type {12,36}_6 Order 1296 mV = 12 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 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R127.45 : Type {12,36}_18 Order 1296 mV = 6 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^9 * R^3 * S^-2 * R * S^2 * R * S^-2 * R * S^3 ] R127.46 : Type {12,36}_18 Order 1296 mV = 6 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^3 * R^4 * S^3 * R^-2 ] R127.47 : Type {12,36}_18 Order 1296 mV = 6 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^9 * R^-1 * S^-6 * R^-5 * S^3 ] R127.48 : Type {12,36}_18 Order 1296 mV = 12 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^9 * R * S^-2 * R * S^7 ] R127.49 : Type {12,36}_18 Order 1296 mV = 12 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, R * S^-1 * R^2 * S^-1 * R^2 * S^-4 * R ] R127.50 : Type {12,78}_104 Order 1248 mV = 26 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^6 * R * S^-1 * R^-2 * S^-1 * R * S^5 ] R127.51 : Type {18,18}_4 Order 1296 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 * S^3 * R * S^-2 * R^-4 * S * R^-4 * S^-2 ] R127.52 : Type {18,18}_12 Order 1296 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, S^-2 * R^5 * S^-2 * R * S^-1 * R, R^-1 * S * R^4 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R127.53 : Type {24,48}_48 Order 1152 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, R^-1 * S * R^-21 * S, S^12 * R * S^-5 * R * S^7 ] R127.54 : Type {24,48}_48 Order 1152 mV = 8 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^12 * R^2 * S * R^-1 * S^-5 * R * S^6 ] R127.55 : Type {24,48}_48 Order 1152 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, (R * S^-1 * R^4)^2, R^-2 * S^-3 * R^8 * S^-5 * R^-2 ] R127.56 : Type {24,48}_48 Order 1152 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^-2 * R^2 * S^-1 * R^2 * S^-5, S * R^7 * S * R^-5 ] R127.57 : Type {24,48}_48 Order 1152 mV = 24 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^11 * S * R^-1 * S, S^12 * R * S^-1 * R * S^11 ] R127.58 : Type {24,48}_48 Order 1152 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^-12 * R^-7 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R127.59 : Type {32,32}_6 Order 1152 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R * S^-3 * R^2 * S^-7 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R^2 ] R127.60 : Type {32,32}_12 Order 1152 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1, R * S^-1 * R * S^-2 * R^6 * S^-2 * R * S^-1 * R ] R127.61 : Type {60,60}_6 Order 1080 mV = 15 mF = 15 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^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R127.62 : Type {60,60}_6 Order 1080 mV = 15 mF = 15 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^-1 * R * S^-1 * R^2 * S^-7 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ] R127.63 : Type {66,132}_8 Order 1056 mV = 44 mF = 22 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^10 * R^-19 ] R127.64 : Type {87,174}_6 Order 1044 mV = 87 mF = 29 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^43 * S^-8 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-7 * R ] R127.65 : Type {255,510}_2 Order 1020 mV = 510 mF = 255 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^115 * R^-16 * T * S^-2 * T * R^-3 * S * R^-117 ] R127.66 : Type {256,256}_2 Order 1024 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^118 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-115 * R ] R127.67 : Type {256,256}_4 Order 1024 mV = 256 mF = 256 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^113 * S^-2 * R * S^-2 * R^8 * S^-1 ] R127.68 : Type {508,508}_2 Order 1016 mV = 508 mF = 508 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^112 * R^-17 * T * S^-2 * T * R^-121 * S ] Genus 128 R128.1 : Type {4,258}_516 Order 2064 mV = 129 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^258 ] R128.2 : Type {4,512}_512 Order 2048 mV = 512 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^128 * R^2 * S^128 ] R128.3 : Type {6,130}_390 Order 1560 mV = 65 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^130 ] R128.4 : Type {6,384}_128 Order 1536 mV = 384 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^64 * R^2 * S^64 ] R128.5 : Type {8,45}_180 Order 1440 mV = 15 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-45 ] R128.6 : Type {8,172}_344 Order 1376 mV = 86 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^43 * R^-2 * S^6 * R^-2 * S^37 ] R128.7 : Type {10,66}_330 Order 1320 mV = 33 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^66 ] R128.8 : Type {10,320}_64 Order 1280 mV = 320 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^32 * R * S^-1 * R * S^31 ] R128.9 : Type {12,104}_312 Order 1248 mV = 52 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 * R^6 * S^26 ] R128.10 : Type {18,34}_306 Order 1224 mV = 17 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^34 ] R128.11 : Type {18,288}_32 Order 1152 mV = 288 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^16 * R^-1 * S^-7 * R * S^9 ] R128.12 : Type {32,36}_288 Order 1152 mV = 18 mF = 16 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^-1 * R * S^6 * R^11 * S^-2 * T * S^3 * R^2 * T * S^-2 * R^-1 * S^2 ] R128.13 : Type {34,272}_16 Order 1088 mV = 272 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^7 * R^-1 * S^-7, R^26 * S^-1 * R * S^-1 * R^5 ] R128.14 : Type {66,264}_8 Order 1056 mV = 264 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^-3 * R * S^4, R^52 * S^-2 * R * S^-2 * R^9 ] R128.15 : Type {88,132}_24 Order 1056 mV = 66 mF = 44 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^7 * S^-1 * R^6 * S^-1 * R^2 * S^-4 * R ] R128.16 : Type {130,260}_4 Order 1040 mV = 260 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^-1 * R * S^2, R^116 * S^-2 * R * S^-2 * R^9 ] R128.17 : Type {257,514}_2 Order 1028 mV = 514 mF = 257 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^114 * R^-16 * T * S^-2 * T * R^-3 * S * R^-119 * S ] R128.18 : Type {258,258}_2 Order 1032 mV = 258 mF = 258 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^121 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-115 ] R128.19 : Type {512,512}_2 Order 1024 mV = 512 mF = 512 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^118 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-116 ] Genus 129 R129.1 : Type {3,7}_16 Order 21504 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S ] R129.2 : Type {3,8}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S, S * R * S^-3 * R^-1 * S * R^-1 * S^-4 * R * S^-1 * R * S^4 * R * S^-1 * R * S^-3 * R * S^2 ] R129.3 : Type {3,8}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-1 * S * R^-1 * S^-4 * R * S^-1 * R * S^4 * R * S^-1 * R * S^-3 * R * S^2, S^-1 * R * S^-2 * 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^-1 * S^-2 ] R129.4 : Type {3,8}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^-1 * S^-4 * R * S^-1 * R * S^4 * R * S^-1 * R * S^-3 * R * S^2 ] R129.5 : Type {3,10}_10 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, (S^2 * R^-1 * S^2)^4 ] R129.6 : Type {3,10}_20 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, (S^2 * R^-1 * S^2)^4 ] R129.7 : Type {3,10}_20 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S^-5 * R * S^-1 * R * S^2 * R^-1 * S^4 * R^-1 * S^-2 ] R129.8 : Type {3,12}_8 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-4 * R * S^-2 * R^-1 * S^3 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, (S^4 * R^-1 * S)^4 ] R129.9 : Type {3,12}_16 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-6 * R^-1 * S^2 * R^-1 * S^5 * R^-1 * S^-2, 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 * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R129.10 : Type {3,12}_16 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3 ] R129.11 : Type {3,12}_32 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-6 * R^-1 * S^2 * R^-1 * S^5 * R^-1 * S^-2, 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 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-1 ] R129.12 : Type {3,12}_32 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R129.13 : Type {4,5}_10 Order 10240 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^8 ] R129.14 : Type {4,5}_20 Order 10240 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R * S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R129.15 : Type {4,5}_20 Order 10240 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S ] R129.16 : Type {4,6}_6 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (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^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-3 * R^-2 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R129.17 : Type {4,6}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R129.18 : Type {4,6}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^3 * R^2 * S * R^-1 * S^-2 ] R129.19 : Type {4,6}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, 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 ] R129.20 : Type {4,6}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1 ] R129.21 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S * R^-1 * S, S^2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 ] R129.22 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R * S^2 * R^-1 * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R * S^-1 ] R129.23 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S, R^-1 * S^-3 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S ] R129.24 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^-3 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R ] R129.25 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-3 * R * S^-1 * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R129.26 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^8 ] R129.27 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, (R * S^-1)^8, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S ] R129.28 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, (R * S^-1)^8, S^-1 * R^-2 * S^-3 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R129.29 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S * R * S^-1 * 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 ] R129.30 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R129.31 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S ] R129.32 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R129.33 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-3)^4 ] R129.34 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R129.35 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R129.36 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-2 ] R129.37 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 ] R129.38 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] R129.39 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, (R * S^-1)^8 ] R129.40 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R129.41 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 ] R129.42 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S^-1 ] R129.43 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^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 ] R129.44 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2, S^-2 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R ] R129.45 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1 ] R129.46 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S * R^-1 * S * R^-1 * S ] R129.47 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1 ] R129.48 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-3)^4 ] R129.49 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-1 ] R129.50 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] R129.51 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-1 ] R129.52 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S ] R129.53 : Type {4,8}_32 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-3 ] R129.54 : Type {4,8}_32 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R129.55 : Type {4,8}_32 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 ] R129.56 : Type {4,8}_32 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^16 ] R129.57 : Type {4,8}_32 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * 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 * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R129.58 : Type {4,12}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R129.59 : Type {4,12}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, S^2 * R^-1 * S * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R129.60 : Type {4,12}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^12 ] R129.61 : Type {4,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-5)^2, 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^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ] R129.62 : Type {4,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-5)^2, 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^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R129.63 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^12, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R129.64 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^2 * R * S^-5 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R129.65 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, S^12, S^2 * R * S^-5 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R129.66 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^12, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S ] R129.67 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1 ] R129.68 : Type {4,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^12, (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 ] R129.69 : Type {4,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^12, (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 ] R129.70 : Type {4,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^12, S^-2 * R^-1 * S^3 * R * S^-2 * R * S^-2 * R * S^-1 ] R129.71 : Type {4,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^12 ] R129.72 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^12, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1 ] R129.73 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^12, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S ] R129.74 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^12, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1 ] R129.75 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^12, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3 ] R129.76 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^12, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1 ] R129.77 : Type {4,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^12, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S^3 * R * S^-2 * R * S^-2 * R * S^-1 ] R129.78 : Type {4,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R129.79 : Type {4,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-2 * R * S * R^-1 * S^-1 ] R129.80 : Type {4,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^12, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S^3 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] R129.81 : Type {4,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-5)^2, S^12 ] R129.82 : Type {4,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S^12, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-2 * R * S * R^-1 * S^-1 ] R129.83 : Type {4,12}_48 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, R^2 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R129.84 : Type {4,20}_10 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S ] R129.85 : Type {4,20}_20 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S^20 ] R129.86 : Type {4,20}_20 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R129.87 : Type {4,20}_20 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^20 ] R129.88 : Type {4,20}_20 Order 2560 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^20 ] R129.89 : Type {4,20}_20 Order 2560 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-4 * R * S^5 ] R129.90 : Type {4,20}_40 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S ] R129.91 : Type {4,20}_40 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S ] R129.92 : Type {4,20}_80 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^20 ] R129.93 : Type {4,36}_18 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^5 * R * S^-2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-2 * R * S^5 ] R129.94 : Type {4,36}_18 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^-7 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-7 ] R129.95 : Type {4,36}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^36 ] R129.96 : Type {4,36}_36 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^36 ] R129.97 : Type {4,36}_36 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^4 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-2 * R * S^7 ] R129.98 : Type {4,36}_72 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^36 ] R129.99 : Type {4,36}_72 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^36 ] R129.100 : Type {4,36}_72 Order 2304 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^36 ] R129.101 : Type {4,68}_136 Order 2176 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^68 ] R129.102 : Type {4,132}_66 Order 2112 mV = 44 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^33 * R * S^-2 * R * S^31 ] R129.103 : Type {4,132}_132 Order 2112 mV = 33 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^132 ] R129.104 : Type {4,132}_132 Order 2112 mV = 44 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^132 ] R129.105 : Type {4,260}_260 Order 2080 mV = 130 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^260 ] R129.106 : Type {4,516}_258 Order 2064 mV = 516 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^129 * R^2 * S^129 ] R129.107 : Type {5,5}_8 Order 5120 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^2 * R^2 * S^2 * R^-3 * S * R^-1 * S^-2 * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-2 * S^2 ] R129.108 : Type {5,5}_8 Order 5120 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^2 * S^2 * R^2 * S^2 * R^-3 * S * R^-1 * S^-2 * R^-1 * S ] R129.109 : Type {5,5}_8 Order 5120 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^2 * S^2 * R^-2 * S^-2 * R^2 * S^2, R^2 * S^2 * R^2 * S^2 * R^-3 * S * R^-1 * S^-2 * R^-1 * S ] R129.110 : Type {5,6}_8 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R129.111 : Type {5,6}_8 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1 ] R129.112 : Type {5,6}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^2 * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S^2 ] R129.113 : Type {5,6}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-2)^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S^-1 ] R129.114 : Type {6,6}_4 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-3 * R^-3 * S^-3 * R^3 * S^3 * R^3 * S^-1 * R^2 * S^2 ] R129.115 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2)^4 ] R129.116 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, (R * S^-2)^4, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R ] R129.117 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4 ] R129.118 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (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^2 * S^-1)^3 ] R129.119 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (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, R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^3 * R^3 * S^-2 ] R129.120 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R^-2 * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^3 * R^-2 * S^-2 ] R129.121 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^-1 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S, (R * S^-1)^6 ] R129.122 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^-1 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^3 * R^-1 * S * R^-1 * S ] R129.123 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1 ] R129.124 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S * R^-2 * S * R * S^-1 * R^2 * S^3 * R^-2 * S ] R129.125 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^2 * R^2 * S^-3 * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S ] R129.126 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, 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^-2 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^2 ] R129.127 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-1 * S^-3 * R^-3 * S^-3 * R^3 * S^3 * R^3 * S^3 * R^-2 ] R129.128 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^2 * S^3 * R^-1, R^-1 * S^-1 * R * S^2 * R^2 * 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 ] R129.129 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R129.130 : Type {6,35}_28 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R^2 * S^-3 * R^-2 * S^-3 * R^2 * S^-1 ] R129.131 : Type {6,35}_70 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S * R^-2 * S * R^-2 * S^5 ] R129.132 : Type {7,14}_4 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-1 * R^2 * S^-1 * R^2)^2 ] R129.133 : Type {7,14}_4 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, 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^2 * S^-1 * R^-3 * S^-2 * R * S^-3 ] R129.134 : Type {7,14}_8 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R129.135 : Type {7,14}_8 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R129.136 : Type {8,8}_4 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^2 * R^-1 * S * R^3 * S^4 * R^-1 * S ] R129.137 : Type {8,8}_4 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R129.138 : Type {8,8}_4 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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^-1 * S^-4 * R^4 * S^4 * R^-3 ] R129.139 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R129.140 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R129.141 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R129.142 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R129.143 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R129.144 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S * R * S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1 ] R129.145 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R129.146 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R129.147 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R129.148 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R129.149 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R129.150 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R129.151 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-1 * S^-4 * R^4 * S^4 * R^-3, S^-2 * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R * S^-1 ] R129.152 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R129.153 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R129.154 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R129.155 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R129.156 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S * R * S^-2 * R^-3 * S * R^-1 * S^4 * R^-1 ] R129.157 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-2 * R^-3 * S * R^-1 * S^4 * R^-1 ] R129.158 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-3 * R^-3 * S * R^-1 * S^4 * R ] R129.159 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^4 * R, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R129.160 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-3 * R^-3 * S * R^-1 * S^4 * R ] R129.161 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-4 * R^2 * S^4 * R, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R129.162 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R129.163 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R129.164 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S * R^-1 * S * R^-2 * S^3 * R^-2 * S^-1 ] R129.165 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R129.166 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R129.167 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R129.168 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S * R^-1 * S * R^-2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R129.169 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^4 * R, S^2 * R^2 * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 ] R129.170 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-2 ] R129.171 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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 ] R129.172 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-1 * R^2 * S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-2 ] R129.173 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^2 * R * S^-1 * R^2 * S^-2 * R^2 * S^2 * R^-1 * S * R^-2 ] R129.174 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-2 * S^-2 ] R129.175 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (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^2 * R^3 * S^2 * R^-1 * S^-1 * R ] R129.176 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-2 * R^-3 * S * R^-1 * S^4 * R^-1 ] R129.177 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-2 * R^-3 * S * R^-1 * S^4 * R^-1 ] R129.178 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R129.179 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R129.180 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R129.181 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4 ] R129.182 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ] R129.183 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R129.184 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^4 * R, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R129.185 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R129.186 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, (R * S^-1)^8 ] R129.187 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R^-1 * S^2 * R^2 * S^-2 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 ] R129.188 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * 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 ] R129.189 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1 ] R129.190 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1 ] R129.191 : Type {8,8}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^2 ] R129.192 : Type {8,8}_16 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^8 ] R129.193 : Type {8,8}_16 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^2 * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ] R129.194 : Type {8,8}_16 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S^2 * R^-2 * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 * R^-2 * S^-1 * R * S^-2 * R^-1 * S * R^-1 ] R129.195 : Type {8,8}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R129.196 : Type {8,8}_32 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S^2 * R^-2 * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-1 * R * S^2 * R^-1 ] R129.197 : Type {8,24}_6 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R129.198 : Type {8,24}_6 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-4 * R^3 * S * R^-1 * S^-1 * R^2 ] R129.199 : Type {8,24}_6 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 ] R129.200 : Type {8,24}_6 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, R * S^-2 * R * S^-2 * R^-3 * S^-2 * R * S^-2 ] R129.201 : Type {8,24}_6 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R129.202 : Type {8,24}_6 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R129.203 : Type {8,24}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R129.204 : Type {8,24}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R129.205 : Type {8,24}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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 ] R129.206 : Type {8,24}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R129.207 : Type {8,24}_12 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R129.208 : Type {8,24}_12 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R129.209 : Type {8,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S * R * S^-3 * R^-2 * S^-1 * R^3 * S ] R129.210 : Type {8,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-3 * R^-2 * S^-1 * R^3 * S ] R129.211 : Type {8,24}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 ] R129.212 : Type {8,24}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 * R * S^-2 * R^-3 * S^-2 * R * S^-2 ] R129.213 : Type {8,24}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R129.214 : Type {8,24}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R129.215 : Type {8,24}_12 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ] R129.216 : Type {8,24}_12 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, R * S^-1 * R^2 * S^-1 * R^2 * S^-4 * R ] R129.217 : Type {8,24}_12 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3 ] R129.218 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 ] R129.219 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 ] R129.220 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, 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 ] R129.221 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] R129.222 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] R129.223 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] R129.224 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^5 * R^-3 * S^-5 * R * S^2 ] R129.225 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^7 ] R129.226 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^5 * R^-3 * S^-5 * R * S^2 ] R129.227 : Type {8,24}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^5 * R^-3 * S^-5 * R * S^2 ] R129.228 : Type {8,24}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 ] R129.229 : Type {8,24}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^24 ] R129.230 : Type {8,24}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2 ] R129.231 : Type {8,24}_24 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, R^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2 ] R129.232 : Type {8,24}_24 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^24 ] R129.233 : Type {8,24}_24 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 ] R129.234 : Type {8,24}_24 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^4 * R * S^-2 * R^-2 * S^-2 * R * S^4 ] R129.235 : Type {8,24}_24 Order 1536 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^-2 * R^-1 * S^5 * R * S^-1 * R^2 * S^-4 ] R129.236 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-2 * R^-1 * S^4 * R^-4 * S^4 * R^-1 * S^-2 ] R129.237 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-7 ] R129.238 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-7 ] R129.239 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^24 ] R129.240 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3, (R * S^-6 * R)^2 ] R129.241 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-2 * S^3, (R * S^-6 * R)^2 ] R129.242 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3, (R * S^-6 * R)^2 ] R129.243 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-2 * S^3, (R * S^-6 * R)^2 ] R129.244 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 ] R129.245 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^24 ] R129.246 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, (R * S^-6 * R)^2 ] R129.247 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-7 ] R129.248 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S * R * S^-5 * R * S^6 ] R129.249 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R129.250 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S * R * S^-5 * R * S^6 ] R129.251 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S * R * S^-5 * R * S^6 ] R129.252 : Type {8,24}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] R129.253 : Type {8,24}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 ] R129.254 : Type {8,24}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^24 ] R129.255 : Type {8,24}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R129.256 : Type {8,24}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^2 * S^5 * R^-1 * S^-2 ] R129.257 : Type {8,24}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, 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^24 ] R129.258 : Type {8,24}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^5 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1 * R * S^2 ] R129.259 : Type {8,24}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^6 * R^4 * S^6, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R129.260 : Type {8,24}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^24 ] R129.261 : Type {8,24}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R129.262 : Type {8,24}_24 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^3 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^6 ] R129.263 : Type {8,24}_24 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^24 ] R129.264 : Type {8,24}_24 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R129.265 : Type {8,24}_24 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R129.266 : Type {8,24}_48 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^6 * R^4 * S^6, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R129.267 : Type {8,88}_44 Order 1408 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, 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^22 * R^2 * S * R^-1 * S^-5 * R * S^16 ] R129.268 : Type {8,88}_88 Order 1408 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^22 * R^4 * S^22 ] R129.269 : Type {8,88}_88 Order 1408 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, 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^22 * R^3 * S^-2 * R * S^20 ] R129.270 : Type {8,88}_88 Order 1408 mV = 22 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^88 ] R129.271 : Type {8,88}_88 Order 1408 mV = 44 mF = 2 Defining relations for automorphism group: [ R^8, 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^22 * R * S^-1 * R * S^21 ] R129.272 : Type {8,88}_88 Order 1408 mV = 44 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^88 ] R129.273 : Type {8,344}_86 Order 1376 mV = 344 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^43 * R * S^-2 * R * S^41 ] R129.274 : Type {8,344}_172 Order 1376 mV = 344 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^43 * R^2 * S^43 ] R129.275 : Type {12,12}_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, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R ] R129.276 : Type {12,12}_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, (S^-1 * R)^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12 ] R129.277 : Type {12,12}_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, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-2 * R^5 * S^-2 * R * S^-1 * R, (R^3 * S^-1)^3 ] R129.278 : Type {12,12}_4 Order 1536 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, (R * S^-1 * R)^4 ] R129.279 : Type {12,12}_4 Order 1536 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, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-1 * R)^4 ] R129.280 : Type {12,12}_4 Order 1536 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, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R129.281 : Type {12,12}_4 Order 1536 mV = 2 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^12, (R * S^-1 * R^4)^2, R * S^-3 * R^3 * S * R^-2 * S^-2 ] R129.282 : Type {12,12}_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^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R * S^-1 * R^4 * S * R^-1 * S^3 ] R129.283 : Type {12,12}_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^12, S^-2 * R^5 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S * R^-1 * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R129.284 : Type {12,12}_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, (S^-1 * R)^3, R^12, (R * S^-2 * R^3)^2, (R * S^-3 * R^2)^2 ] R129.285 : Type {12,12}_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, S * R * S^-1 * R^3 * S * R^-1 * S^2, R^12, S^-2 * R^5 * S^-2 * R * S^-1 * R ] R129.286 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S * R * S^-2 * R^3 * S^3 * R^-2 ] R129.287 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2 ] R129.288 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R129.289 : Type {12,12}_8 Order 1536 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, (R * S^-1 * R)^4 ] R129.290 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R129.291 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R129.292 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ] R129.293 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4 ] R129.294 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R129.295 : Type {12,12}_8 Order 1536 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^-1 * R^2 * S^-1)^3 ] R129.296 : Type {12,12}_8 Order 1536 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, S^-2 * R^-3 * S^2 * R^-2 * S^2 * R^-1 * S^-1 * R ] R129.297 : Type {12,12}_8 Order 1536 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^-2 * R^-3 * S^2 * R^-2 * S^-3 * R^2 ] R129.298 : Type {12,12}_8 Order 1536 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, (S^-1 * R^2 * S^-1)^3 ] R129.299 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S^3 * R^-2, R^-2 * S^2 * R^3 * S^2 * R^-2 * S ] R129.300 : Type {12,12}_8 Order 1536 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, (R * S^-1 * R^4)^2, S * R * S^-2 * R^3 * S^3 * R^-2 ] R129.301 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4 ] R129.302 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^5 * S^2 * R^-1 * S^-2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-1 * R)^4 ] R129.303 : Type {12,12}_8 Order 1536 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 * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R)^4 ] R129.304 : Type {12,12}_8 Order 1536 mV = 2 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^12, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-1 * R)^4 ] R129.305 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] R129.306 : Type {12,12}_8 Order 1536 mV = 2 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^12, S * R * S^-2 * R^3 * S^3 * R^-2 ] R129.307 : Type {12,12}_8 Order 1536 mV = 2 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^12, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-1 * R)^4 ] R129.308 : Type {12,12}_8 Order 1536 mV = 2 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^12, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R129.309 : Type {12,12}_8 Order 1536 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 * S^-1 * R * S^4, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R129.310 : Type {12,12}_8 Order 1536 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^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4 ] R129.311 : Type {12,12}_8 Order 1536 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^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-1 * R)^4 ] R129.312 : Type {12,12}_16 Order 1536 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 * S^-1 * R^-2 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R129.313 : Type {12,28}_8 Order 1344 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^-3 * R^3 * S^-4, R^12, (R * S^-2)^4 ] R129.314 : Type {12,28}_8 Order 1344 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^3 * R^3 * S^4, R^12, (R * S^-2)^4 ] R129.315 : Type {12,28}_42 Order 1344 mV = 7 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^-1 * S^5 * R^4 * S^5 * R^-1 * S^-2 ] R129.316 : Type {12,28}_84 Order 1344 mV = 7 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^6 * R * S^-1 * R^2 * S^-1 * R * S^6 ] R129.317 : Type {12,28}_84 Order 1344 mV = 7 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^28 ] R129.318 : Type {12,156}_52 Order 1248 mV = 78 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^26 * R * S^-1 * R * S^25 ] R129.319 : Type {14,301}_86 Order 1204 mV = 301 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^-22 * R * S^4 * R^-1 * S^-17 ] R129.320 : Type {20,20}_4 Order 1280 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^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S * R^-2 * S * R^-11 * S * R^-2 * S * R^-1 ] R129.321 : Type {20,20}_4 Order 1280 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 * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2 ] R129.322 : Type {20,20}_8 Order 1280 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)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2 ] R129.323 : Type {20,20}_8 Order 1280 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^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R129.324 : Type {20,20}_8 Order 1280 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^3 * R^-1, R^3 * S^-4 * R * S^-1 * R^3 * S^-1 * R^5 * S^-1 * R ] R129.325 : Type {20,20}_8 Order 1280 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)^5, S * R^6 * S * R^-4 ] R129.326 : Type {20,20}_8 Order 1280 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, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, (R * S^-4)^2 ] R129.327 : Type {20,20}_8 Order 1280 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 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, S^2 * R^-2 * S * R^-2 * S * R^-6 * S^4 * R^-2 ] R129.328 : Type {20,20}_8 Order 1280 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, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, R^2 * S^-2 * R^8 * S^-1 * R * S^-2 * R * S^-3 ] R129.329 : Type {28,140}_20 Order 1120 mV = 70 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^-2 * S * R^-1 * S * R^-23, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R129.330 : Type {36,36}_4 Order 1152 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^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R * S^-1 * R^4 * S^-1 * R^6 * S^-2 * R * S^-1 * R ] R129.331 : Type {36,36}_4 Order 1152 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^-1 * S * R^-1, R^-21 * S^2 * R^-10 * S^2 * R^-1 ] R129.332 : Type {36,36}_4 Order 1152 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^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R * S^-1 * R^2 * S^-2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^11 * S^-2 * R * S^-1 * R^7 ] R129.333 : Type {36,36}_8 Order 1152 mV = 6 mF = 6 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, S * R * S^-2 * R^3 * S^3 * R^-2, R * S^-1 * R * S^-1 * R^6 * S^-1 * R^2 * S^-1 * R * S^-2 * R ] R129.334 : Type {36,36}_8 Order 1152 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^3 * S * R^-1 * S^2, S * R^6 * S^5, S^-1 * R^2 * T * S^5 * R^-3 * S^2 * R^-1 * S * T * R^2 * S^-1 ] R129.335 : Type {36,36}_8 Order 1152 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 * R^-1 * S, R * S^-18 * R * S^-1 * R^3 * S^-1 * R^8 * S^-1 * R * S^-1 ] R129.336 : Type {36,36}_8 Order 1152 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^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, S^3 * T * R * S^-3 * R^3 * S^-1 * R^3 * S^-1 * T * R^-1 * S^2 ] R129.337 : Type {36,36}_8 Order 1152 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^10 * S^-8 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ] R129.338 : Type {36,36}_8 Order 1152 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^-2 * R * S^3, S * R^-1 * S^12 * R^-1 * S * R^-20 ] R129.339 : Type {40,56}_70 Order 1120 mV = 28 mF = 20 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^-5 * S^-5 * R^4 * S^-2 * R * S^5 ] R129.340 : Type {40,56}_140 Order 1120 mV = 28 mF = 20 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^-5 * R^7 * S * R^-1 * S^-5 * R * S ] R129.341 : Type {68,68}_4 Order 1088 mV = 17 mF = 17 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^38 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R^2 ] R129.342 : Type {88,264}_6 Order 1056 mV = 264 mF = 44 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^72 * S^-1 * R^2 * S^-1 * R * S^-2 * R^9 ] R129.343 : Type {88,264}_12 Order 1056 mV = 264 mF = 44 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^-6 * R^24 * S^-2 * R * S^-2 * R^9 ] R129.344 : Type {132,132}_4 Order 1056 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-2 * S^45 * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 ] R129.345 : Type {132,132}_4 Order 1056 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^2, R * S^-1 * R^101 * S^-2 * R^13 * S^-12 * R * S^-1 ] R129.346 : Type {132,132}_4 Order 1056 mV = 66 mF = 66 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^118 * S^-2 * R * S^-2 * R^9 ] R129.347 : Type {259,518}_2 Order 1036 mV = 518 mF = 259 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^238 * T * R^3 * T * S^2 * T * R^16 * T ] R129.348 : Type {260,260}_2 Order 1040 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^238 * T * R^3 * T * S^2 * T * R^16 * T ] R129.349 : Type {516,516}_2 Order 1032 mV = 516 mF = 516 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^121 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-114 * R ] Genus 130 R130.1 : Type {4,262}_524 Order 2096 mV = 131 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^262 ] R130.2 : Type {4,520}_520 Order 2080 mV = 520 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^130 * R^2 * S^130 ] R130.3 : Type {6,132}_132 Order 1584 mV = 44 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^132 ] R130.4 : Type {6,132}_132 Order 1584 mV = 66 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^22 * R * S^-3 * R * S^19 ] R130.5 : Type {6,132}_132 Order 1584 mV = 66 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^132 ] R130.6 : Type {6,390}_130 Order 1560 mV = 390 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^65 * R * S^-1 * R * S^64 ] R130.7 : Type {8,60}_40 Order 1440 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-2 * R^-1 * S^4 * R^-1 * S^-3 * R^2 * S^-1 ] R130.8 : Type {12,54}_108 Order 1296 mV = 9 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^54 ] R130.9 : Type {12,54}_108 Order 1296 mV = 27 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^54 ] R130.10 : Type {12,312}_104 Order 1248 mV = 312 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^26 * R * S^-4 * R * S^22 ] R130.11 : Type {16,76}_304 Order 1216 mV = 38 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^19 * R^-6 * S^6 * R^-1 * S^-1 * R * S^12 ] R130.12 : Type {18,99}_66 Order 1188 mV = 33 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^-17 * R * S^3 * R^-1 * S^-13 ] R130.13 : Type {22,28}_308 Order 1232 mV = 14 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^28 ] R130.14 : Type {22,286}_26 Order 1144 mV = 286 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^13 * R * S^-1 * R * S^12 ] R130.15 : Type {28,280}_40 Order 1120 mV = 280 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^-2 * S * R^-1 * S * R^-23, S^10 * R * S^-2 * R * S^8 ] R130.16 : Type {40,70}_56 Order 1120 mV = 35 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^7 * R^-1 * S^-2 * R * S^5 ] R130.17 : Type {42,273}_26 Order 1092 mV = 273 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^-6 * R^8 * S^-7 ] R130.18 : Type {54,270}_10 Order 1080 mV = 270 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^9 * R^-10 * S * R^-1 * S * R^-31 * S ] R130.19 : Type {90,90}_6 Order 1080 mV = 45 mF = 30 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^46 * S^-8 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-7 * R ] R130.20 : Type {106,265}_10 Order 1060 mV = 265 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^-4 * R * S^5, S^-4 * R^35 * S^-2 * R * S^-2 * R^8 * S^-1 ] R130.21 : Type {132,264}_8 Order 1056 mV = 264 mF = 66 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^49 * S^-2 * R * S^-2 * R^8 * S^-1 ] R130.22 : Type {261,522}_2 Order 1044 mV = 522 mF = 261 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^240 * T * R^3 * T * S^2 * T * R^16 * T ] R130.23 : Type {262,262}_2 Order 1048 mV = 262 mF = 262 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^240 * T * R^3 * T * S^2 * T * R^16 * T ] R130.24 : Type {520,520}_2 Order 1040 mV = 520 mF = 520 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^239 * T * R^3 * T * S^2 * T * R^16 * T ] Genus 131 R131.1 : Type {4,30}_10 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S ] R131.2 : Type {4,264}_264 Order 2112 mV = 132 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^66 * R * S^-1 * R * S^65 ] R131.3 : Type {4,264}_264 Order 2112 mV = 132 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^264 ] R131.4 : Type {4,524}_262 Order 2096 mV = 524 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^131 * R^2 * S^131 ] R131.5 : Type {5,12}_20 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2 ] R131.6 : Type {6,68}_102 Order 1632 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^17 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^13 ] R131.7 : Type {6,393}_262 Order 1572 mV = 393 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-66 * R * S * R^-1 * S^-64 ] R131.8 : Type {8,20}_8 Order 1600 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 ] R131.9 : Type {8,20}_8 Order 1600 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 ] R131.10 : Type {8,176}_176 Order 1408 mV = 88 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^44 * R * S^-1 * R * S^43 ] R131.11 : Type {8,176}_176 Order 1408 mV = 88 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^44 * R^-2 * S^6 * R^-2 * S^38 ] R131.12 : Type {20,60}_30 Order 1200 mV = 12 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^15 * R * S^-4 * R * S^11 ] R131.13 : Type {20,60}_30 Order 1200 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 * S^-1 * R^-3 * S * R^4 * S^3 * R^-1 * S^-1 * R, S^-2 * R^3 * S^-1 * R^6 * S^-1 * R^4 * S^-1 * R * S^-1 ] R131.14 : Type {20,60}_30 Order 1200 mV = 30 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^15 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R131.15 : Type {30,30}_6 Order 1200 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 * S^-1 * R^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, S * R^6 * S^5 ] R131.16 : Type {55,110}_10 Order 1100 mV = 55 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^6 * S * R^-4, R^12 * S^-9 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-7 * R ] R131.17 : Type {68,136}_8 Order 1088 mV = 68 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^5 * S * R^-3, R^25 * S^-9 * R^5 * S^-1 * R^12 * S^-1 * R * S^-2 * R^4 * S^-7 * R ] R131.18 : Type {68,136}_8 Order 1088 mV = 68 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^23 * R^-10 * S * R^-1 * S * R^-31 * S ] R131.19 : Type {263,526}_2 Order 1052 mV = 526 mF = 263 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^242 * T * R^3 * T * S^2 * T * R^16 * T ] R131.20 : Type {264,264}_2 Order 1056 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^242 * T * R^3 * T * S^2 * T * R^16 * T ] R131.21 : Type {264,264}_4 Order 1056 mV = 264 mF = 264 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^117 * S^-2 * R * S^-2 * R^8 * S^-1 ] R131.22 : Type {524,524}_2 Order 1048 mV = 524 mF = 524 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^241 * T * R^3 * T * S^2 * T * R^16 * T ] Genus 132 R132.1 : Type {4,135}_270 Order 2160 mV = 45 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-135 ] R132.2 : Type {4,266}_532 Order 2128 mV = 133 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^266 ] R132.3 : Type {4,528}_528 Order 2112 mV = 528 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^132 * R^2 * S^132 ] R132.4 : Type {6,134}_402 Order 1608 mV = 67 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^134 ] R132.5 : Type {8,90}_180 Order 1440 mV = 30 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-23 * R^-1 * S^6 * R^-3 * S^-16 ] R132.6 : Type {8,90}_360 Order 1440 mV = 45 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^90 ] R132.7 : Type {10,68}_340 Order 1360 mV = 34 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^68 ] R132.8 : Type {10,330}_66 Order 1320 mV = 330 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^33 * R * S^-2 * R * S^31 ] R132.9 : Type {14,46}_322 Order 1288 mV = 23 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^46 ] R132.10 : Type {14,308}_44 Order 1232 mV = 308 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^22 * R^2 * S^22 ] R132.11 : Type {24,26}_312 Order 1248 mV = 13 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^26 ] R132.12 : Type {26,286}_22 Order 1144 mV = 286 mF = 13 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^-21 * S * R^-1, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R132.13 : Type {40,140}_56 Order 1120 mV = 70 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^4 * R * S^-3 * R^-3 * S^7 ] R132.14 : Type {46,276}_12 Order 1104 mV = 276 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R^32 * S^-1 * R * S^-1 * R^11 ] R132.15 : Type {50,275}_22 Order 1100 mV = 275 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^2 * R^-2 * S^5 * R^-12 * S^4 ] R132.16 : Type {56,70}_40 Order 1120 mV = 35 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, S^-3 * R^2 * S^-1 * R^2 * S^-6 ] R132.17 : Type {68,272}_16 Order 1088 mV = 272 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^-6 * R^18 * S^-1 * R * S^-1 * R^5 * S^-2 ] R132.18 : Type {69,92}_6 Order 1104 mV = 23 mF = 23 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, S^4 * R^-2 * S^3 * R^-12 * S * R^-1 ] R132.19 : Type {134,268}_4 Order 1072 mV = 268 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^-1 * R * S^2, R^120 * S^-2 * R * S^-2 * R^9 ] R132.20 : Type {135,135}_4 Order 1080 mV = 45 mF = 45 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^14 * R^-13 * S^2 * R^-104 ] R132.21 : Type {178,267}_6 Order 1068 mV = 267 mF = 89 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^71 * S^-1 * R^2 * S^-1 * R * S^-2 * R^8 * S^-1 ] R132.22 : Type {265,530}_2 Order 1060 mV = 530 mF = 265 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^118 * R^-16 * T * S^-2 * T * R^-4 * S * R^-122 * S ] R132.23 : Type {266,266}_2 Order 1064 mV = 266 mF = 266 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^242 * R^-16 * T * S^-2 * T * R^-5 ] R132.24 : Type {528,528}_2 Order 1056 mV = 528 mF = 528 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^243 * T * R^3 * T * S^2 * T * R^16 * T ] Genus 133 R133.1 : Type {3,10}_12 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * S * R^-1 * S^-5 * R * S^-1 * R * S^5 * R * S^-1 * R * S^-3 ] R133.2 : Type {3,10}_66 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^4 ] R133.3 : Type {3,17}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-17, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2, S^-1 * R^-1 * S^2 * R * S^-4 * R^-1 * S * R^-1 * S^-3 * R * S^-2 * R * S^-2 ] R133.4 : Type {3,28}_48 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R133.5 : Type {4,15}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S * R * S^-2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R133.6 : Type {4,48}_16 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^6 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R133.7 : Type {4,48}_16 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S * R * S^-1 * R^-2 * S^7 ] R133.8 : Type {4,136}_68 Order 2176 mV = 34 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^34 * R^2 * S * R^-1 * S^-1 * R * S^32 ] R133.9 : Type {4,136}_136 Order 2176 mV = 34 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^136 ] R133.10 : Type {4,268}_268 Order 2144 mV = 134 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^268 ] R133.11 : Type {4,532}_266 Order 2128 mV = 532 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^133 * R^2 * S^133 ] R133.12 : Type {5,10}_10 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, R * S^-1 * R^-1 * S^2 * R * S^-2 * R^2 * S * R^-1 * S * R^-1 * S ] R133.13 : Type {5,10}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R133.14 : Type {5,10}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (S^-1 * R^2 * S^-1)^3 ] R133.15 : Type {5,10}_22 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R133.16 : Type {6,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, 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 ] R133.17 : Type {6,36}_36 Order 1728 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^36 ] R133.18 : Type {6,36}_36 Order 1728 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^36 ] R133.19 : Type {6,36}_72 Order 1728 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^9 * R * S^-2 * R * S^7 ] R133.20 : Type {6,102}_68 Order 1632 mV = 34 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^17 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^11 ] R133.21 : Type {6,135}_270 Order 1620 mV = 45 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-135 ] R133.22 : Type {6,399}_266 Order 1596 mV = 399 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-67 * R^2 * S^-66 ] R133.23 : Type {8,10}_12 Order 1920 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, R^-1 * S^-5 * R^2 * S^5 * R^-1 ] R133.24 : Type {8,10}_24 Order 1920 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, R * S^-5 * R^2 * S^5 * R ] R133.25 : Type {9,12}_36 Order 1728 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ] R133.26 : Type {10,30}_6 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-4)^2 ] R133.27 : Type {12,20}_20 Order 1440 mV = 5 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^20 ] R133.28 : Type {12,42}_28 Order 1344 mV = 7 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^3 * R * S^-4 * R^2 * S^-4 * R * S^3 ] R133.29 : Type {12,42}_56 Order 1344 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^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 * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-4 * R * S^2 ] R133.30 : Type {12,108}_54 Order 1296 mV = 36 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^27 * R * S^-2 * R * S^25 ] R133.31 : Type {12,108}_54 Order 1296 mV = 54 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^27 * R^-5 * S^-1 * T * S^4 * R^-1 * T * S^22 ] R133.32 : Type {14,28}_6 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-3 * R)^2, S^-2 * R^-4 * S^-2 * R^3 ] R133.33 : Type {15,15}_12 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 * S^-3 * R^2)^2, R * S^-1 * R^-5 * S^-1 * R^2 * S^-2 * R ] R133.34 : Type {16,40}_80 Order 1280 mV = 5 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^40 ] R133.35 : Type {16,40}_80 Order 1280 mV = 5 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^40 ] R133.36 : Type {16,40}_80 Order 1280 mV = 10 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^16, S^10 * R^2 * S * R^-1 * S^-5 * R^3 * S * R^-2 * S^3 ] R133.37 : Type {16,40}_80 Order 1280 mV = 10 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^10 * R^2 * S^2 * R^-2 * S^8 ] R133.38 : Type {16,40}_80 Order 1280 mV = 10 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^16, S^10 * R^-4 * S^2 * R^-1 * S^-3 * R^2 * S^-2 * R * S^3 ] R133.39 : Type {16,40}_80 Order 1280 mV = 10 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^40 ] R133.40 : Type {16,40}_80 Order 1280 mV = 20 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^16, S^10 * R * S^-1 * R * S^9 ] R133.41 : Type {16,40}_80 Order 1280 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^40 ] R133.42 : Type {16,304}_38 Order 1216 mV = 304 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^19 * R * S^-2 * R * S^17 ] R133.43 : Type {16,304}_76 Order 1216 mV = 304 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^19 * R * S^-6 * R * S^13 ] R133.44 : Type {30,285}_38 Order 1140 mV = 285 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^24 * S^-1 * R * S^-1 * R^3, S^-10 * R * S^2 * R^-1 * S^-7 ] R133.45 : Type {36,72}_4 Order 1152 mV = 18 mF = 9 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^-1 * R^15 * S^-4 * R^9 * S^-1 * R^4 * S^-2 ] R133.46 : Type {36,72}_4 Order 1152 mV = 24 mF = 6 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^3 * T * R^-5 * S * R^-4 * S * R^-1 * T * R * S^-2 ] R133.47 : Type {36,72}_8 Order 1152 mV = 18 mF = 9 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 * R^-1 * S^2 * R^-4 * S * R^-4 * S * T * R * S^-2 * R^8 * S^-1 * T * R^-1 * S * R^-3 * S * R^-1 * S * R^-1 * S ] R133.48 : Type {36,72}_8 Order 1152 mV = 24 mF = 6 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R * S^-2 * R * S^-1 * R^5 * S^-1 * R^2 * S^-2 * R^3 ] R133.49 : Type {40,280}_14 Order 1120 mV = 280 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^-6 * R^-1 * S^6 * R^-1 * S^-2, R^-1 * S * R^-6 * S * R^-1 * S * R^-28 * S ] R133.50 : Type {40,280}_28 Order 1120 mV = 280 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^-6 * R^6 * S^-8 ] R133.51 : Type {48,48}_12 Order 1152 mV = 24 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^7 * S * R^-5, R^-2 * S * R^-1 * S^7 * R^-6 * S * R^-13 * S * R^-5 * S^10 * R^-1 ] R133.52 : Type {48,48}_12 Order 1152 mV = 24 mF = 8 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^-3 * S * R^4 * S * R^-3 * S^-1 * R, S * R^-2 * S^2 * R^-2 * S * R^-7 * S * R^-5 * S * R^-2 ] R133.53 : Type {48,48}_12 Order 1152 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^7 * S * R^-5, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^2 * S^-2 * R^2 * S^-1 * R^5 * S^-3 * R ] R133.54 : Type {48,48}_12 Order 1152 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^11 * S * R^-1 * S, S^5 * R * S^-1 * R * S^6 ] R133.55 : Type {48,48}_24 Order 1152 mV = 24 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, R^16 * S^-1 * R^5 * S^-1 * R ] R133.56 : Type {48,48}_24 Order 1152 mV = 24 mF = 8 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^7 * S * R^-5, S * R^-2 * S^2 * R^-2 * S * R^-7 * S * R^-5 * S * R^-2 ] R133.57 : Type {48,48}_24 Order 1152 mV = 24 mF = 24 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^11 * S * R^-1 * S, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R133.58 : Type {69,138}_4 Order 1104 mV = 46 mF = 23 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^49 * R^-2 * S * R^-14 ] R133.59 : Type {78,273}_14 Order 1092 mV = 273 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^-5 * R^22 * S^-1 * R * S^-1 * R^7 * S^-2 ] R133.60 : Type {136,136}_4 Order 1088 mV = 68 mF = 68 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^91 * R^-10 * S * R^-1 * S * R^-31 * S ] R133.61 : Type {136,136}_4 Order 1088 mV = 68 mF = 68 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^38 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R133.62 : Type {267,534}_2 Order 1068 mV = 534 mF = 267 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^121 * R^-16 * T * S^-2 * T * R^-4 * S * R^-122 ] R133.63 : Type {268,268}_2 Order 1072 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, R^123 * S^-1 * R^4 * T * S^2 * T * R^16 * S^-121 * R ] R133.64 : Type {532,532}_2 Order 1064 mV = 532 mF = 532 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^242 * R^-16 * T * S^-2 * T * R^-4 * S ] Genus 134 R134.1 : Type {4,42}_12 Order 2352 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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, S * R^-1 * S * R * S^-3 * R * S^-1 * R^-1 * S^8 ] R134.2 : Type {4,270}_540 Order 2160 mV = 135 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^270 ] R134.3 : Type {4,536}_536 Order 2144 mV = 536 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^134 * R^2 * S^134 ] R134.4 : Type {6,136}_408 Order 1632 mV = 68 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^136 ] R134.5 : Type {6,402}_134 Order 1608 mV = 402 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^67 * R^2 * S^67 ] R134.6 : Type {8,28}_8 Order 1568 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S^5 * R^2 * S^-7 ] R134.7 : Type {8,180}_360 Order 1440 mV = 90 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^45 * R^-2 * S^6 * R^-2 * S^39 ] R134.8 : Type {10,335}_134 Order 1340 mV = 335 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-34 * R * S * R^-1 * S^-32 ] R134.9 : Type {42,42}_14 Order 1176 mV = 21 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, R * S^-1 * R^-8 * S^-1 * R^5, R * S^-8 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-6 * R ] R134.10 : Type {42,42}_14 Order 1176 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, (R * S^-1 * R^4)^2, R^-10 * S^-1 * R^3 * S^-1 * R^-1, S^3 * R * S^-4 * R^-1 * S^7 ] R134.11 : Type {56,140}_40 Order 1120 mV = 70 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, S^-4 * R^4 * S^-6 ] R134.12 : Type {92,138}_12 Order 1104 mV = 69 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^5 * R^-6 * S * R^-1 * S * R^-31 * S ] R134.13 : Type {269,538}_2 Order 1076 mV = 538 mF = 269 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^121 * R^-17 * T * S^-2 * T * R^-127 * S ] R134.14 : Type {270,270}_2 Order 1080 mV = 270 mF = 270 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^129 * T * S^2 * T * R^17 * S^-122 ] R134.15 : Type {536,536}_2 Order 1072 mV = 536 mF = 536 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^123 * S^-1 * R^4 * T * S^2 * T * R^16 * S^-122 ] Genus 135 R135.1 : Type {4,138}_138 Order 2208 mV = 46 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^138 ] R135.2 : Type {4,272}_272 Order 2176 mV = 136 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^68 * R * S^-1 * R * S^67 ] R135.3 : Type {4,272}_272 Order 2176 mV = 136 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^272 ] R135.4 : Type {4,540}_270 Order 2160 mV = 540 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^135 * R^2 * S^135 ] R135.5 : Type {8,92}_184 Order 1472 mV = 23 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^92 ] R135.6 : Type {8,92}_184 Order 1472 mV = 46 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^92 ] R135.7 : Type {8,360}_90 Order 1440 mV = 360 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^45 * R^2 * S^45 ] R135.8 : Type {8,360}_180 Order 1440 mV = 360 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^45 * R * S^-2 * R * S^43 ] R135.9 : Type {12,56}_42 Order 1344 mV = 14 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^-4 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-6 ] R135.10 : Type {12,56}_84 Order 1344 mV = 14 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^6 * R * S^-1 * R^2 * S^-1 * R * S^6 ] R135.11 : Type {12,56}_168 Order 1344 mV = 28 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^14 * R * S^-1 * R * S^13 ] R135.12 : Type {12,56}_168 Order 1344 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^56 ] R135.13 : Type {14,315}_90 Order 1260 mV = 315 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^-23 * R * S^5 * R^-1 * S^-17 ] R135.14 : Type {20,32}_160 Order 1280 mV = 16 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^8 * R * S^-1 * R * S^7, R^20 ] R135.15 : Type {20,32}_160 Order 1280 mV = 16 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^32 ] R135.16 : Type {22,297}_54 Order 1188 mV = 297 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^-14 * R * S^8 * R^-1 * S^-5 ] R135.17 : Type {32,288}_18 Order 1152 mV = 288 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 * R^-2 * S * R^-1 * S * R^-24 * S, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R135.18 : Type {32,288}_36 Order 1152 mV = 288 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 * R^-2 * S * R^-1 * S * R^-24 * S, S^9 * R^2 * S^9 ] R135.19 : Type {36,144}_16 Order 1152 mV = 72 mF = 9 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 * R^-1 * S^2 * R^-4 * S * R^-4 * S * T * R * S^-2 * R^8 * S^-1 * T * R^-1 * S * R^-3 * S * R^-1 * S * R^-1 * S ] R135.20 : Type {36,144}_16 Order 1152 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-1 * S * R^-4 * S * R^-1 * S * R^-26 * S ] R135.21 : Type {38,285}_30 Order 1140 mV = 285 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^-7 * R^4 * S^-8 ] R135.22 : Type {56,280}_10 Order 1120 mV = 280 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^-4 * R * S^5, R^-1 * S^10 * R^-10 * S * R^-1 * S * R^-32 ] R135.23 : Type {56,280}_20 Order 1120 mV = 280 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^-6 * R^16 * S^-1 * R^2 * S^-3 ] R135.24 : Type {62,279}_18 Order 1116 mV = 279 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^7 * R^-22 * S^2 ] R135.25 : Type {92,276}_6 Order 1104 mV = 276 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^-2 * R * S^3, S^47 * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-28 * S ] R135.26 : Type {138,138}_4 Order 1104 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^2, R * S^-1 * R^104 * S^-2 * R^13 * S^-15 * R * S^-1 ] R135.27 : Type {182,273}_6 Order 1092 mV = 273 mF = 91 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^45 * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-29 ] R135.28 : Type {271,542}_2 Order 1084 mV = 542 mF = 271 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^121 * R^-17 * T * S^-2 * T * R^-129 * S ] R135.29 : Type {272,272}_2 Order 1088 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^132 * T * S^2 * T * R^17 * S^-120 * R ] R135.30 : Type {272,272}_4 Order 1088 mV = 272 mF = 272 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^90 * R^-10 * S * R^-1 * S * R^-32 ] R135.31 : Type {540,540}_2 Order 1080 mV = 540 mF = 540 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^129 * T * S^2 * T * R^17 * S^-121 * R ] Genus 136 R136.1 : Type {3,8}_30 Order 12960 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R136.2 : Type {3,24}_10 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^-8 * R^-1 * S^7 * R^-1 * S^-1, S^3 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S ] R136.3 : Type {3,33}_10 Order 3960 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3, S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] R136.4 : Type {3,36}_6 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^36 ] R136.5 : Type {3,36}_18 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S^5 * R * S^-7 * R * S^6 * R^-1 * S^-4 * R * S^2 ] R136.6 : Type {3,60}_6 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-10 * R^-1 * S^19 * R^-1 * S^-11 ] R136.7 : Type {4,7}_10 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R ] R136.8 : Type {4,7}_12 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^2 * S^-1 * R * S * R^-1 * S^-3 * R^-1 * S^2 ] R136.9 : Type {4,8}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R ] R136.10 : Type {4,9}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1 ] R136.11 : Type {4,9}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R136.12 : Type {4,274}_548 Order 2192 mV = 137 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^274 ] R136.13 : Type {4,544}_544 Order 2176 mV = 544 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^136 * R^2 * S^136 ] R136.14 : Type {6,8}_8 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^4 * R ] R136.15 : Type {6,8}_24 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R ] R136.16 : Type {6,18}_6 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^-4 * R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * S^-8 ] R136.17 : Type {6,18}_6 Order 1944 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, 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^18 ] R136.18 : Type {6,18}_6 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R136.19 : Type {6,18}_6 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-5 * R * S^6 ] R136.20 : Type {6,18}_6 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 ] R136.21 : Type {6,18}_6 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R136.22 : Type {6,18}_6 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S * R * S^-3 * R^-3 * S^-1 * R^2 * S^3 ] R136.23 : Type {6,18}_18 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^18 ] R136.24 : Type {6,18}_18 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R136.25 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^18 ] R136.26 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R136.27 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^18 ] R136.28 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, 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^18 ] R136.29 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1 * R^-3 * S^2 * R^-1 * S^-2 ] R136.30 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^18 ] R136.31 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^18 ] R136.32 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R136.33 : Type {6,18}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1)^6 ] R136.34 : Type {6,18}_18 Order 1944 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-5 * R * S^6, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R136.35 : Type {6,18}_18 Order 1944 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^18 ] R136.36 : Type {6,18}_18 Order 1944 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, (R * S^-1)^6, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R ] R136.37 : Type {6,30}_6 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-3 * R^-2 * S * R * S^-1 * R^3 * S^-5 ] R136.38 : Type {6,30}_6 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, (S^-1 * R^2 * S^-1)^3, S * R * S^-3 * R^-3 * S^-1 * R^2 * S^3 ] R136.39 : Type {6,30}_6 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^-1 * S * R^-1 * S * T * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * T * R^-1 * S * R^-1 * S ] R136.40 : Type {6,30}_6 Order 1800 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, 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^-7 * R^-1 * S^9 * R^-1 * S^-4 ] R136.41 : Type {6,48}_16 Order 1728 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-5 * R^-1 * S * R * S^-8 ] R136.42 : Type {6,48}_16 Order 1728 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S, S^-3 * T * S^5 * R^2 * S^5 * T * R * S * R^-1 * S^-2 ] R136.43 : Type {6,48}_48 Order 1728 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^48 ] R136.44 : Type {6,48}_48 Order 1728 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^48 ] R136.45 : Type {6,48}_48 Order 1728 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-7 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-7 ] R136.46 : Type {6,48}_48 Order 1728 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^48 ] R136.47 : Type {6,48}_48 Order 1728 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-6 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R136.48 : Type {6,48}_48 Order 1728 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^48 ] R136.49 : Type {6,138}_138 Order 1656 mV = 46 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^138 ] R136.50 : Type {6,138}_138 Order 1656 mV = 69 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^23 * R * S^-1 * R * S^22 ] R136.51 : Type {6,138}_138 Order 1656 mV = 69 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^138 ] R136.52 : Type {6,408}_136 Order 1632 mV = 408 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^68 * R * S^-1 * R * S^67 ] R136.53 : Type {9,9}_4 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^9, S^9, 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^3 * S^3 * R^-1 * S ] R136.54 : Type {9,9}_12 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^9, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-1 * S^2 ] R136.55 : Type {9,9}_12 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2 ] R136.56 : Type {10,16}_16 Order 1600 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 ] R136.57 : Type {10,70}_70 Order 1400 mV = 14 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^70 ] R136.58 : Type {10,70}_70 Order 1400 mV = 35 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^3 * R * T * S * R * S^-3 * R * S * R^-1 * S^-3 * T * S^3 ] R136.59 : Type {10,70}_70 Order 1400 mV = 35 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^70 ] R136.60 : Type {10,340}_68 Order 1360 mV = 340 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^34 * R * S^-3 * R * S^31 ] R136.61 : Type {18,36}_4 Order 1296 mV = 9 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^7 * S * R^-5, R * S^-2 * R * S^-1 * R^2 * S^-1 * R^4 * S^-1 * R^3 * S^-1 * R ] R136.62 : Type {18,36}_12 Order 1296 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^7 * S * R^-5, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-1 * T * R^5 * S^-1 * R * S^-1 * R^4 * T * S * R^-2 ] R136.63 : Type {18,36}_12 Order 1296 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^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, S * R^7 * S * R^-5, S^-2 * R^2 * S^-1 * R^8 * S^-5 ] R136.64 : Type {18,36}_12 Order 1296 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^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^3 * S^-1 * R^3 * S^-5, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 ] R136.65 : Type {18,36}_12 Order 1296 mV = 12 mF = 3 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-1 * R^13 * S^-2 * R * S^-1 ] R136.66 : Type {18,36}_12 Order 1296 mV = 12 mF = 3 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^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, R^3 * S^-1 * R^3 * S * R^-2 * S^-2, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R136.67 : Type {18,36}_36 Order 1296 mV = 4 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^36 ] R136.68 : Type {18,36}_36 Order 1296 mV = 18 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^18 ] R136.69 : Type {18,36}_36 Order 1296 mV = 18 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^36 ] R136.70 : Type {18,306}_34 Order 1224 mV = 306 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^17 * R^-2 * S^17 ] R136.71 : Type {30,60}_20 Order 1200 mV = 12 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^24 * S^-1 * R * S^-1 * R^3, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R136.72 : Type {30,60}_20 Order 1200 mV = 30 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^-1 * S * R^11 * S * R^-8, R^3 * S^-1 * R^2 * S^-1 * R^13 * S^-1 * R^6 * S^-1 * R^2 ] R136.73 : Type {30,60}_20 Order 1200 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^9 * S * R^-1 * S, S^10 * R * S^-3 * R * S^7 ] R136.74 : Type {33,66}_6 Order 1188 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^8 * S^-7 * R^10 * S^-6 * R * S^-1 ] R136.75 : Type {36,288}_32 Order 1152 mV = 288 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^-8 * R^2 * S^-8 ] R136.76 : Type {70,280}_8 Order 1120 mV = 280 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^-3 * R * S^4, R^-1 * S^24 * R^-10 * S * R^-1 * S * R^-32 ] R136.77 : Type {93,186}_6 Order 1116 mV = 93 mF = 31 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^49 * S^-9 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-8 ] R136.78 : Type {138,276}_4 Order 1104 mV = 276 mF = 69 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^92 * R^-10 * S * R^-1 * S * R^-32 ] R136.79 : Type {273,546}_2 Order 1092 mV = 546 mF = 273 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^250 * T * R^4 * T * S^2 * T * R^16 * T ] R136.80 : Type {274,274}_2 Order 1096 mV = 274 mF = 274 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^133 * T * S^2 * T * R^17 * S^-122 ] R136.81 : Type {544,544}_2 Order 1088 mV = 544 mF = 544 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^132 * T * S^2 * T * R^17 * S^-121 ] Genus 137 R137.1 : Type {4,72}_36 Order 2304 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^18 * R^2 * S * R^-1 * S^-1 * R * S^16 ] R137.2 : Type {4,72}_36 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^18 * R^2 * S^2 * R^-1 * S^-1 * R * S^15 ] R137.3 : Type {4,72}_36 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^18 * R * S^-5 * R * S^13 ] R137.4 : Type {4,72}_72 Order 2304 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^18 * R^2 * S * R^-1 * S^-5 * R * S^12 ] R137.5 : Type {4,72}_72 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^72 ] R137.6 : Type {4,72}_72 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^18 * R * S^-5 * R * S^13 ] R137.7 : Type {4,72}_72 Order 2304 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^72 ] R137.8 : Type {4,72}_72 Order 2304 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^18 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^9 ] R137.9 : Type {4,140}_140 Order 2240 mV = 35 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^140 ] R137.10 : Type {4,276}_276 Order 2208 mV = 138 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^276 ] R137.11 : Type {4,548}_274 Order 2192 mV = 548 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^137 * R^2 * S^137 ] R137.12 : Type {6,20}_8 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 ] R137.13 : Type {6,20}_20 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R^-2 * S^4 * R^-1 * S^-1 * R * S^-4, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-2 * R ] R137.14 : Type {6,20}_30 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R137.15 : Type {6,20}_120 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^20 ] R137.16 : Type {6,105}_140 Order 1680 mV = 35 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-18 * R^2 * S^-1 * R^2 * S^-16 ] R137.17 : Type {6,411}_274 Order 1644 mV = 411 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-69 * R * S * R^-1 * S^-67 ] R137.18 : Type {8,48}_12 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S * R * S^-5 * R^-2 * S^-5 * R * S ] R137.19 : Type {8,48}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, R^-1 * S^5 * R^-2 * S^5 * R^-1 * S^-2 ] R137.20 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^12 * R * S^-4 * R * S * R^-2 * S^7 ] R137.21 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-1 * R * S^4 * R^-1 * S^-2 * R * S^5 ] R137.22 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-5 * R * S^7 ] R137.23 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-5 * R * S^7 ] R137.24 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R^3 * S^-3 * R * S^9 ] R137.25 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^48 ] R137.26 : Type {8,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^12 * R * S^-3 * R * S^9 ] R137.27 : Type {8,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^-3 * R * S^9 ] R137.28 : Type {8,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 * R^-2 * S * R^-3 * S^-3 * R^-1 * S^8 ] R137.29 : Type {8,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^12 * R^2 * S^5 * R^-1 * S^-1 * R * S^6 ] R137.30 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, 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^48 ] R137.31 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, 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^12 * R^2 * S^2 * R^-1 * S^-3 * R * S^7 ] R137.32 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^48 ] R137.33 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, 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^12 * R^-3 * S^-7 * R * S^5 ] R137.34 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, 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^12 * R^2 * S^5 * R^-1 * S^-1 * R * S^6 ] R137.35 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^12 * R * S^-3 * R * S^9 ] R137.36 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^12 * R * S^-3 * R * S^9 ] R137.37 : Type {8,48}_48 Order 1536 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^12 * R^-3 * S^-7 * R * S^5 ] R137.38 : Type {8,48}_48 Order 1536 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-2 * R * S^10 ] R137.39 : Type {8,48}_48 Order 1536 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^48 ] R137.40 : Type {8,184}_92 Order 1472 mV = 92 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^46 * R * S^-1 * R * S^45 ] R137.41 : Type {8,184}_92 Order 1472 mV = 92 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^46 * R^-2 * S^6 * R^-2 * S^40 ] R137.42 : Type {12,16}_12 Order 1536 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, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, (R * S^-1)^8 ] R137.43 : Type {12,16}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, R^12, (R * S^-1 * R^4)^2, (S^-1 * R^2 * S^-1)^3 ] R137.44 : Type {12,16}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, R * S^-2 * R^4 * S^-2 * R * S^2, (R * S^-1 * R)^4, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^3 ] R137.45 : Type {12,16}_24 Order 1536 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, 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 ] R137.46 : Type {12,16}_24 Order 1536 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^2 * R^2 * S^-1 * R^2 * S^5, S^-2 * R^-1 * S * R^-1 * S^2 * R^2 * S^-1 * R * S^-2 * R * S^-2 ] R137.47 : Type {12,16}_24 Order 1536 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, R * S^-1 * R^-1 * S^4 * R^-3 * S^2 * R^-1 * S^-1, S^2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^2 ] R137.48 : Type {12,16}_48 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S * R^-2 ] R137.49 : Type {12,16}_48 Order 1536 mV = 4 mF = 1 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^-1 * R * S * R^-1, R^12, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R137.50 : Type {12,16}_48 Order 1536 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^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^-1 * S^2 * R^-1 * S^-1 * R^3 * S^2 ] R137.51 : Type {12,16}_48 Order 1536 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^16 ] R137.52 : Type {12,16}_48 Order 1536 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-3 * S^2 * R^-2 * S^5 ] R137.53 : Type {12,16}_48 Order 1536 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^16 ] R137.54 : Type {12,16}_48 Order 1536 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^12, (R * S^-1 * R^4)^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 ] R137.55 : Type {12,16}_48 Order 1536 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^16 ] R137.56 : Type {12,16}_48 Order 1536 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, S * R * S^-3 * R * S^4, R^12 ] R137.57 : Type {12,16}_48 Order 1536 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ] R137.58 : Type {12,16}_48 Order 1536 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^-3)^2, R^12, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R137.59 : Type {12,84}_28 Order 1344 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^14 * R^4 * S^14 ] R137.60 : Type {12,84}_28 Order 1344 mV = 28 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^-4 * R^2 * S^-4 * R * S * R^-1 * S^-2 ] R137.61 : Type {12,84}_56 Order 1344 mV = 28 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^6 * R * S^-1 * R^2 * S^-1 * R * S^6 ] R137.62 : Type {16,80}_20 Order 1280 mV = 20 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^-1 * S^4 * R^-2 * S * R^-3 * S^5, S^12 * R^-1 * S^-4 * R^-3 * S^4 ] R137.63 : Type {16,80}_20 Order 1280 mV = 20 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^10 * R * S^-2 * R * S * R^-1 * S^-4 * R^-1 * S^3 ] R137.64 : Type {16,80}_40 Order 1280 mV = 20 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^10 * R * S^-4 * R * S * R^-1 * S^-1 * R * S^4 ] R137.65 : Type {16,80}_40 Order 1280 mV = 20 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^-1 * S^4 * R^-2 * S * R^-3 * S^5, S^10 * R^2 * S * R^-1 * S^-5 * R * S^4 ] R137.66 : Type {16,80}_40 Order 1280 mV = 20 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^20 * R * S^-3 * R * S^17 ] R137.67 : Type {16,80}_40 Order 1280 mV = 20 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^20 * R * S^-3 * R * S^17 ] R137.68 : Type {16,80}_40 Order 1280 mV = 40 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^-1 * S^4 * R^-2 * S * R^-3 * S^5, S^10 * R * S^-1 * R * S^9 ] R137.69 : Type {16,80}_40 Order 1280 mV = 40 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^-1 * S^4 * R^-2 * S * R^-3 * S^5, S^10 * R * S^-5 * R * S^5 ] R137.70 : Type {16,80}_40 Order 1280 mV = 40 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 * R * S^-1 * R * S^19 ] R137.71 : Type {16,80}_40 Order 1280 mV = 40 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 * R^-6 * S^6 * R^-1 * S^-1 * R * S^13 ] R137.72 : Type {20,40}_4 Order 1280 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 * R^2 * S^-2 * R^2 * S^5, S * R^-1 * S * R^-11 * S^3 * R^-2 * S ] R137.73 : Type {20,40}_8 Order 1280 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 * R * S^-2 * R^2 * S * R^-1 * S^2, R^-12 * S^8 ] R137.74 : Type {20,40}_8 Order 1280 mV = 10 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 * 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^-3 * R^9 * S^-3 * R^3 ] R137.75 : Type {20,40}_8 Order 1280 mV = 10 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 * 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^-3 * R^2 * S^-3 * R^5 * S^-1 * R * S^-3 * R^2 ] R137.76 : Type {28,44}_154 Order 1232 mV = 22 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^11 * R^11 * S^-3 * T * S^2 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R137.77 : Type {72,72}_4 Order 1152 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^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^42 * S^-3 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R^2 ] R137.78 : Type {72,72}_4 Order 1152 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, S^2 * R^-1 * S^51 * R^-2 * S * R^-15 ] R137.79 : Type {72,72}_4 Order 1152 mV = 24 mF = 24 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^2 * S^-2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^8 * S^-2 * R * S^-1 * R^10 ] R137.80 : Type {72,72}_8 Order 1152 mV = 18 mF = 18 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^5 * R^-2 * S * R^-4 * S * T * R * S^-2 * R^5 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-2 * S ] R137.81 : Type {72,72}_8 Order 1152 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^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R * S^-2 * R * S^-1 * R^4 * S^-8 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ] R137.82 : Type {72,72}_8 Order 1152 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^-1 * S^14 * R^-1 * S * R^-18 * S ] R137.83 : Type {72,72}_8 Order 1152 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 * R^-1 * S, R * S^-18 * R * S^-1 * R^3 * S^-1 * R^6 * S^-4 * R ] R137.84 : Type {72,72}_8 Order 1152 mV = 36 mF = 18 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^25 * R^-1 * S^7 * R^-4 * S^2 * R^-1 * S * R^-12 * S * R^-5 * S^10 * R^-1 ] R137.85 : Type {72,72}_8 Order 1152 mV = 36 mF = 36 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 * R^-1 * S^2 * R^-4 * S * R^-4 * S * T * R * S^-2 * R^5 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-2 * S ] R137.86 : Type {140,140}_4 Order 1120 mV = 70 mF = 70 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^95 * R^-10 * S * R^-1 * S * R^-31 * S ] R137.87 : Type {275,550}_2 Order 1100 mV = 550 mF = 275 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^125 * R^-16 * T * S^-2 * T * R^-4 * S * R^-126 ] R137.88 : Type {276,276}_2 Order 1104 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^127 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-125 * R ] R137.89 : Type {548,548}_2 Order 1096 mV = 548 mF = 548 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^133 * T * S^2 * T * R^17 * S^-121 * R ] Genus 138 R138.1 : Type {4,141}_282 Order 2256 mV = 47 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-141 ] R138.2 : Type {4,278}_556 Order 2224 mV = 139 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^278 ] R138.3 : Type {4,552}_552 Order 2208 mV = 552 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^138 * R^2 * S^138 ] R138.4 : Type {6,140}_420 Order 1680 mV = 70 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^140 ] R138.5 : Type {8,94}_376 Order 1504 mV = 47 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^94 ] R138.6 : Type {10,345}_138 Order 1380 mV = 345 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-35 * R * S^2 * R^-1 * S^-32 ] R138.7 : Type {12,112}_336 Order 1344 mV = 56 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 * R^-4 * S^2 * T * S^-1 * R^-1 * S * T * R^-1 * S^24 ] R138.8 : Type {14,48}_336 Order 1344 mV = 24 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^48 ] R138.9 : Type {14,322}_46 Order 1288 mV = 322 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^23 * R * S^-1 * R * S^22 ] R138.10 : Type {24,52}_312 Order 1248 mV = 26 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^13 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R138.11 : Type {26,299}_46 Order 1196 mV = 299 mF = 13 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^-21 * S * R^-1, S^-12 * R * S^5 * R^-1 * S^-6 ] R138.12 : Type {94,282}_6 Order 1128 mV = 282 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, R^-1 * S^48 * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-29 ] R138.13 : Type {140,280}_8 Order 1120 mV = 280 mF = 70 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^27 * R^-8 * S * R^-1 * S * R^-31 * S ] R138.14 : Type {141,141}_4 Order 1128 mV = 47 mF = 47 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^17 * R^-13 * S^2 * R^-107 ] R138.15 : Type {277,554}_2 Order 1108 mV = 554 mF = 277 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^124 * R^-15 * S * T * R * S^-1 * T * R^-4 * S * R^-128 * S ] R138.16 : Type {278,278}_2 Order 1112 mV = 278 mF = 278 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^130 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-125 ] R138.17 : Type {552,552}_2 Order 1104 mV = 552 mF = 552 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^127 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-126 ] Genus 139 R139.1 : Type {4,96}_32 Order 2304 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^16 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^11 ] R139.2 : Type {4,96}_32 Order 2304 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^6 * R * S^-1 * R^-1 * S * R * S^-6 * R * S^2 ] R139.3 : Type {4,280}_280 Order 2240 mV = 140 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^70 * R * S^-1 * R * S^69 ] R139.4 : Type {4,280}_280 Order 2240 mV = 140 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^280 ] R139.5 : Type {4,556}_278 Order 2224 mV = 556 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^139 * R^2 * S^139 ] R139.6 : Type {6,72}_18 Order 1728 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-9 * R * S * R^-1 * S^-2 * R * S * R^-1 * S^-5 ] R139.7 : Type {6,72}_36 Order 1728 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-9 * R^-1 * S * R^-2 * S^5 * R^-1 * S^-3 ] R139.8 : Type {6,141}_282 Order 1692 mV = 47 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-141 ] R139.9 : Type {6,417}_278 Order 1668 mV = 417 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-70 * R^2 * S^-69 ] R139.10 : Type {12,30}_6 Order 1440 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, R^12, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, S^4 * R^3 * S^4 * R^-1 ] R139.11 : Type {12,30}_20 Order 1440 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, R^12, S * R * S^-4 * R * S^5, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2 ] R139.12 : Type {12,30}_30 Order 1440 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, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^30 ] R139.13 : Type {12,30}_30 Order 1440 mV = 10 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^30 ] R139.14 : Type {12,30}_60 Order 1440 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R^-2 * S * R^-2 * S^-1 ] R139.15 : Type {12,30}_120 Order 1440 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^-1 * R^-3 * S^6 * R^-2 * S^6 * R^-1 * S^-2 ] R139.16 : Type {12,168}_56 Order 1344 mV = 84 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^14 * R * S^-1 * R * S^13 ] R139.17 : Type {12,168}_56 Order 1344 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^28 * R * S^-3 * R * S^25 ] R139.18 : Type {15,20}_12 Order 1440 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1 * R^3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R139.19 : Type {72,144}_16 Order 1152 mV = 72 mF = 36 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^-28 * S^2 ] R139.20 : Type {72,144}_16 Order 1152 mV = 72 mF = 36 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 * R^-1 * S^2 * R^-4 * S * R^-4 * S * T * R * S^-2 * R^8 * S^-1 * T * S^7 * R^-2 * S ] R139.21 : Type {96,96}_6 Order 1152 mV = 48 mF = 32 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^49 * R^-1 * S^7 * R^-6 * S * R^-13 * S * R^-5 * S^10 * R^-1 ] R139.22 : Type {96,96}_6 Order 1152 mV = 48 mF = 48 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^-4 * R^2 * S^-2 * R * S^-1 * R^3 * S^-1 * R^12 * S^-6 ] R139.23 : Type {96,96}_12 Order 1152 mV = 48 mF = 32 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^7 * S * R^-5, R^-4 * S^7 * R^-6 * S * R^-13 * S * R^-5 * S^11 ] R139.24 : Type {96,96}_12 Order 1152 mV = 48 mF = 48 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^7 * S * R^-5, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R * S^-3 * R^2 * S^-1 * R^6 * S^-2 * R ] R139.25 : Type {279,558}_2 Order 1116 mV = 558 mF = 279 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^125 * R^-16 * S * T * R * S^-1 * T * R^-4 * S * R^-129 ] R139.26 : Type {280,280}_2 Order 1120 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^261 * T * S * R^-1 * T * S^-1 * R^16 ] R139.27 : Type {280,280}_4 Order 1120 mV = 280 mF = 280 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^94 * R^-10 * S * R^-1 * S * R^-32 ] R139.28 : Type {556,556}_2 Order 1112 mV = 556 mF = 556 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^130 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-124 * R ] Genus 140 R140.1 : Type {4,282}_564 Order 2256 mV = 141 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^282 ] R140.2 : Type {4,560}_560 Order 2240 mV = 560 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^140 * R^2 * S^140 ] R140.3 : Type {6,142}_426 Order 1704 mV = 71 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^142 ] R140.4 : Type {6,420}_140 Order 1680 mV = 420 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^70 * R^2 * S^70 ] R140.5 : Type {8,188}_376 Order 1504 mV = 94 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^47 * R^-2 * S^6 * R^-2 * S^41 ] R140.6 : Type {10,72}_360 Order 1440 mV = 36 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^72 ] R140.7 : Type {12,58}_348 Order 1392 mV = 29 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^58 ] R140.8 : Type {12,336}_112 Order 1344 mV = 336 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^28 * R^2 * S^28 ] R140.9 : Type {16,42}_336 Order 1344 mV = 21 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^42 ] R140.10 : Type {18,315}_70 Order 1260 mV = 315 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^-18 * R * S^4 * R^-1 * S^-13 ] R140.11 : Type {20,64}_320 Order 1280 mV = 32 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^16 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^7 ] R140.12 : Type {22,30}_330 Order 1320 mV = 15 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^30 ] R140.13 : Type {22,308}_28 Order 1232 mV = 308 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^14 * R * S^-2 * R * S^12 ] R140.14 : Type {24,78}_104 Order 1248 mV = 39 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^13 * R * S^-3 * R * S^10 ] R140.15 : Type {58,290}_10 Order 1160 mV = 290 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, R^-1 * S^11 * R^-11 * S * R^-1 * S * R^-31 * S ] R140.16 : Type {82,287}_14 Order 1148 mV = 287 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^5 * R^-2 * S * R^-1 * S * R^-29 * S^2 ] R140.17 : Type {114,285}_10 Order 1140 mV = 285 mF = 57 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^15 * R^-7 * S * R^-1 * S * R^-32 ] R140.18 : Type {142,284}_4 Order 1136 mV = 284 mF = 71 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^96 * R^-10 * S * R^-1 * S * R^-32 ] R140.19 : Type {281,562}_2 Order 1124 mV = 562 mF = 281 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^259 * T * R^-15 * S * T * R * S^-1 * T * R^-4 * T ] R140.20 : Type {282,282}_2 Order 1128 mV = 282 mF = 282 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^260 * T * R^-15 * S * T * R * S^-1 * T * R^-4 * T ] R140.21 : Type {560,560}_2 Order 1120 mV = 560 mF = 560 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^261 * T * S * R^-1 * T * S^-1 * R^15 * S^-1 ] Genus 141 R141.1 : Type {3,26}_14 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S, S^-3 * R^-1 * S^3 * R * S^-2 * R^-2 * S^-2 * R * S^3 * R^-1 * S^-3 ] R141.2 : Type {4,60}_12 Order 2400 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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)^10 ] R141.3 : Type {4,144}_144 Order 2304 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^144 ] R141.4 : Type {4,144}_144 Order 2304 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^36 * R^2 * S * R^-1 * S^-1 * R * S^34 ] R141.5 : Type {4,144}_144 Order 2304 mV = 48 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^144 ] R141.6 : Type {4,144}_144 Order 2304 mV = 48 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^36 * R * S^-2 * R * S^34 ] R141.7 : Type {4,284}_284 Order 2272 mV = 142 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^284 ] R141.8 : Type {4,564}_282 Order 2256 mV = 564 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^141 * R^2 * S^141 ] R141.9 : Type {6,8}_4 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, 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 * S^-1 * R^2 * S^3 * R^-1 * S^2 ] R141.10 : Type {6,8}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-2)^4 ] R141.11 : Type {6,8}_12 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-3 * R * S^-1)^2, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^4 * R^-1 ] R141.12 : Type {6,8}_16 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S * R^-1 ] R141.13 : Type {6,8}_16 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1 ] R141.14 : Type {6,8}_28 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, R * S^-4 * R * S^-2 * R * S^4 * R * S^-2 ] R141.15 : Type {6,10}_10 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2 ] R141.16 : Type {6,10}_20 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R141.17 : Type {6,10}_40 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R141.18 : Type {6,13}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-1 * S * R^2 * S^-1 * R^-2 * S^5, S^-1 * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S^-2 ] R141.19 : Type {6,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-4 * R^3 * S^-5, S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^-1 * R * S^2 ] R141.20 : Type {6,24}_24 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-5)^2 ] R141.21 : Type {6,24}_24 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, (R * S^-2)^4 ] R141.22 : Type {8,12}_10 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, (R * S^-5)^2 ] R141.23 : Type {8,12}_20 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^12, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, R^-1 * S * R * S^-3 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] R141.24 : Type {8,12}_20 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, (R * S^-5)^2 ] R141.25 : Type {8,12}_20 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R141.26 : Type {8,12}_20 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^12, R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-4 ] R141.27 : Type {8,12}_40 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2 ] R141.28 : Type {8,40}_4 Order 1600 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-3 * R * S^-3 ] R141.29 : Type {8,40}_4 Order 1600 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^10 ] R141.30 : Type {8,96}_96 Order 1536 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, 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^24 * R^3 * S^-2 * R * S^22 ] R141.31 : Type {8,96}_96 Order 1536 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, 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^24 * R^2 * S * R^-1 * S^-6 * R^-1 * S^17 ] R141.32 : Type {8,96}_96 Order 1536 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 * R^2 * S^2 * R^-1 * S^-3 * R * S^19 ] R141.33 : Type {8,96}_96 Order 1536 mV = 24 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^96 ] R141.34 : Type {8,96}_96 Order 1536 mV = 32 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^24 * R^-3 * S^-8 * R * S^16 ] R141.35 : Type {8,96}_96 Order 1536 mV = 32 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^24 * R * S^-2 * R * S^22 ] R141.36 : Type {8,96}_96 Order 1536 mV = 48 mF = 2 Defining relations for automorphism group: [ R^8, 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^24 * R * S^-1 * R * S^23 ] R141.37 : Type {8,96}_96 Order 1536 mV = 48 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^96 ] R141.38 : Type {8,376}_94 Order 1504 mV = 376 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^47 * R * S^-2 * R * S^45 ] R141.39 : Type {8,376}_188 Order 1504 mV = 376 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^47 * R^2 * S^47 ] R141.40 : Type {9,14}_18 Order 1764 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, 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^14 ] R141.41 : Type {14,49}_98 Order 1372 mV = 7 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^-49 ] R141.42 : Type {14,329}_94 Order 1316 mV = 329 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^-24 * R^2 * S^-23 ] R141.43 : Type {20,80}_16 Order 1280 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R * S^-3 * R * S^-1 * R^10 * S^-2 * R^2, S^-4 * R^-1 * S^4 * R * S^-2 * R * S^4 * R^-1 * S^-2 ] R141.44 : Type {20,80}_16 Order 1280 mV = 20 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 * 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^2 * S^-1 * R^2 * S^-3 * R^5 * S^-1 * R * S^-5 ] R141.45 : Type {24,104}_78 Order 1248 mV = 52 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^11 * S * R^-1 * S, S^13 * R^-4 * S^6 * R^-2 * S^7 ] R141.46 : Type {24,104}_156 Order 1248 mV = 52 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^11 * S * R^-1 * S, S^13 * R^-4 * S^5 * R^2 * S^8 ] R141.47 : Type {60,60}_10 Order 1200 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 * S^2, S * R^6 * S * R^-4, S^14 * R^-1 * S^8 * R^-6 * S * R^-13 * S * R^-5 * S^10 * R^-1 ] R141.48 : Type {60,60}_10 Order 1200 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, (R * S^-1 * R^4)^2, S * R^-1 * S^-3 * R^8 * S^-5 * R^-1 * S ] R141.49 : Type {144,144}_4 Order 1152 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^2, R * S^-1 * R^107 * S^-2 * R^13 * S^-18 * R * S^-1 ] R141.50 : Type {144,144}_4 Order 1152 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^51 * R^-2 * S * R^-14 * S ] R141.51 : Type {144,144}_4 Order 1152 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, R^-1 * S^97 * R^-11 * S * R^-1 * S * R^-31 * S ] R141.52 : Type {144,144}_4 Order 1152 mV = 72 mF = 72 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^42 * S^-3 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R141.53 : Type {144,144}_8 Order 1152 mV = 48 mF = 48 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^-1 * S * R^-1 * S^11 * R^-1 * S * R^-20 ] R141.54 : Type {144,144}_8 Order 1152 mV = 72 mF = 72 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^26 * R^-1 * S^7 * R^-4 * S^2 * R^-1 * S * R^-12 * S * R^-5 * S^11 ] R141.55 : Type {190,285}_6 Order 1140 mV = 285 mF = 95 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^58 * S^-1 * R * S^-2 * R^2 * T * R^-1 * S * R^-10 * T * R^16 * S^-1 ] R141.56 : Type {283,566}_2 Order 1132 mV = 566 mF = 283 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^130 * R^-16 * S * T * R * S^-1 * T * R^-133 ] R141.57 : Type {284,284}_2 Order 1136 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^129 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-131 * R ] R141.58 : Type {564,564}_2 Order 1128 mV = 564 mF = 564 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^259 * T * R^-15 * S * T * R * S^-1 * T * R^-4 * T ] Genus 142 R142.1 : Type {4,286}_572 Order 2288 mV = 143 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^286 ] R142.2 : Type {4,568}_568 Order 2272 mV = 568 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^142 * R^2 * S^142 ] R142.3 : Type {6,144}_144 Order 1728 mV = 48 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^144 ] R142.4 : Type {6,144}_144 Order 1728 mV = 72 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^144 ] R142.5 : Type {6,426}_142 Order 1704 mV = 426 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^71 * R * S^-1 * R * S^70 ] R142.6 : Type {10,355}_142 Order 1420 mV = 355 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-36 * R * S^3 * R^-1 * S^-32 ] R142.7 : Type {12,40}_40 Order 1440 mV = 10 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^10 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-3 * R * S^4 ] R142.8 : Type {15,24}_6 Order 1440 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-2 * R^-4 * S^-3 * R * S^-1, R^2 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ] R142.9 : Type {15,24}_60 Order 1440 mV = 6 mF = 5 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^-15 ] R142.10 : Type {24,156}_104 Order 1248 mV = 78 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^13 * R^3 * S^-2 * R * S^11 ] R142.11 : Type {28,154}_44 Order 1232 mV = 77 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^-2 * S * R^-1 * S * R^-23, S^11 * R * S^-3 * R * S^8 ] R142.12 : Type {66,99}_18 Order 1188 mV = 33 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-6 * R^18 * S^-1 * R * S^-1 * R^3 * S^-3 ] R142.13 : Type {285,570}_2 Order 1140 mV = 570 mF = 285 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^133 * R^-2 * S * R^-10 * S * T * R * S^-1 * T * R^-4 * S * R^-129 * S ] R142.14 : Type {286,286}_2 Order 1144 mV = 286 mF = 286 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^270 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R ] R142.15 : Type {568,568}_2 Order 1136 mV = 568 mF = 568 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^129 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^15 * S^-132 ] Genus 143 R143.1 : Type {4,288}_288 Order 2304 mV = 144 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^72 * R * S^-1 * R * S^71 ] R143.2 : Type {4,288}_288 Order 2304 mV = 144 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^288 ] R143.3 : Type {4,572}_286 Order 2288 mV = 572 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^143 * R^2 * S^143 ] R143.4 : Type {6,429}_286 Order 1716 mV = 429 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-72 * R * S * R^-1 * S^-70 ] R143.5 : Type {8,192}_192 Order 1536 mV = 96 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^48 * R^-2 * S^6 * R^-2 * S^42 ] R143.6 : Type {8,192}_192 Order 1536 mV = 96 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^48 * R * S^-1 * R * S^47 ] R143.7 : Type {12,116}_174 Order 1392 mV = 58 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^29 * R^-4 * S^2 * T * S^-2 * R * S * R^-1 * T * S^24 ] R143.8 : Type {18,20}_90 Order 1440 mV = 5 mF = 3 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, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-6, R^18 ] R143.9 : Type {20,160}_32 Order 1280 mV = 80 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, R * S^-3 * R * S^-1 * R^10 * S^-2 * R^2, S^-3 * R^-1 * S^5 * R^3 * S^-2 * R * S^4 * R^-1 * S^-2 ] R143.10 : Type {20,160}_32 Order 1280 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^-3 * R^11 * S^-4 * R * S^-1, S^16 * R * S^-5 * R * S^11 ] R143.11 : Type {24,28}_168 Order 1344 mV = 7 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^11 * S * R^-1 * S, S^28 ] R143.12 : Type {24,28}_168 Order 1344 mV = 14 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^28 ] R143.13 : Type {24,312}_26 Order 1248 mV = 312 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^13 * R^2 * S^13 ] R143.14 : Type {24,312}_52 Order 1248 mV = 312 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^13 * R^-1 * S^-7 * R * S^6 ] R143.15 : Type {28,308}_22 Order 1232 mV = 308 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^-2 * S * R^-1 * S * R^-23, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R143.16 : Type {32,40}_160 Order 1280 mV = 20 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-10 * R^-13 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R143.17 : Type {32,40}_160 Order 1280 mV = 20 mF = 16 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^-1 * S^-1 * R^14 * S * R^-1, S^10 * R * S^-1 * R * S^9 ] R143.18 : Type {46,299}_26 Order 1196 mV = 299 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^2 * R^-2 * S^5 * R^-8 * S^6 ] R143.19 : Type {54,297}_22 Order 1188 mV = 297 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^16 * S^-5 ] R143.20 : Type {287,574}_2 Order 1148 mV = 574 mF = 287 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^134 * R^-1 * S^2 * R^-10 * S * T * R * S^-1 * T * R^-136 ] R143.21 : Type {288,288}_2 Order 1152 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^137 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-134 * R ] R143.22 : Type {288,288}_4 Order 1152 mV = 288 mF = 288 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^98 * R^-11 * S * R^-1 * S * R^-32 ] R143.23 : Type {572,572}_2 Order 1144 mV = 572 mF = 572 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^270 * T * S * R^-1 * T * S^-1 * R^10 * S^-3 ] Genus 144 R144.1 : Type {4,26}_4 Order 2704 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, S^-26 ] R144.2 : Type {4,147}_294 Order 2352 mV = 49 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-147 ] R144.3 : Type {4,290}_580 Order 2320 mV = 145 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^290 ] R144.4 : Type {4,576}_576 Order 2304 mV = 576 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^144 * R^2 * S^144 ] R144.5 : Type {5,12}_4 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^12, (R * S^-3 * R * S^-2)^2 ] R144.6 : Type {5,12}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R144.7 : Type {5,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^12, (R * S^-3 * R * S^-1 * R)^2, R^-1 * S^3 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-2 ] R144.8 : Type {5,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R144.9 : Type {6,146}_438 Order 1752 mV = 73 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^146 ] R144.10 : Type {8,98}_392 Order 1568 mV = 49 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^98 ] R144.11 : Type {10,74}_370 Order 1480 mV = 37 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^74 ] R144.12 : Type {10,360}_72 Order 1440 mV = 360 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^36 * R^2 * S^36 ] R144.13 : Type {12,174}_116 Order 1392 mV = 87 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^29 * R * S^-1 * R * S^28 ] R144.14 : Type {14,50}_350 Order 1400 mV = 25 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^50 ] R144.15 : Type {14,336}_48 Order 1344 mV = 336 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^24 * R * S^-2 * R * S^22 ] R144.16 : Type {16,84}_336 Order 1344 mV = 42 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^21 * R^-2 * S^6 * R^-5 * S^-1 * R * S^14 ] R144.17 : Type {18,38}_342 Order 1368 mV = 19 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^38 ] R144.18 : Type {20,34}_340 Order 1360 mV = 17 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^34 ] R144.19 : Type {20,320}_64 Order 1280 mV = 320 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^16 * R^2 * S^16 ] R144.20 : Type {26,26}_26 Order 1352 mV = 13 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^-5 * S * R^-7)^2, R^26 ] R144.21 : Type {26,26}_26 Order 1352 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^26 ] R144.22 : Type {26,312}_24 Order 1248 mV = 312 mF = 13 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^-21 * S * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R144.23 : Type {34,306}_18 Order 1224 mV = 306 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^8 * R^-1 * S^-8, R^26 * S^-1 * R * S^-1 * R^5 ] R144.24 : Type {38,304}_16 Order 1216 mV = 304 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^7 * R^-1 * S^-7, R^28 * S^-1 * R * S^-1 * R^7 ] R144.25 : Type {50,300}_12 Order 1200 mV = 300 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-1 * R * S^-1 * R^32 * S^-1 * R * S^-1 * R^12 ] R144.26 : Type {74,296}_8 Order 1184 mV = 296 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^-3 * R * S^4, S * R^-1 * S^26 * R^-11 * S * R^-1 * S * R^-31 * S ] R144.27 : Type {75,100}_6 Order 1200 mV = 25 mF = 25 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, S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1 * R^11 * S^-2 * R * S^-1 ] R144.28 : Type {98,294}_6 Order 1176 mV = 294 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^50 * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-28 * S ] R144.29 : Type {146,292}_4 Order 1168 mV = 292 mF = 73 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^100 * R^-11 * S * R^-1 * S * R^-32 ] R144.30 : Type {147,147}_4 Order 1176 mV = 49 mF = 49 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^20 * R^-13 * S^2 * R^-110 ] R144.31 : Type {194,291}_6 Order 1164 mV = 291 mF = 97 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^51 * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-29 ] R144.32 : Type {289,578}_2 Order 1156 mV = 578 mF = 289 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^135 * R^-1 * S^2 * R^-10 * S * T * R * S^-1 * T * R^-136 * S ] R144.33 : Type {290,290}_2 Order 1160 mV = 290 mF = 290 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^138 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-136 ] R144.34 : Type {576,576}_2 Order 1152 mV = 576 mF = 576 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^137 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-135 ] Genus 145 R145.1 : Type {3,10}_16 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^4 * R^-1 * S^2 * R^-1 * S ] R145.2 : Type {3,10}_48 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1 ] R145.3 : Type {3,12}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, 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 ] R145.4 : Type {3,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R145.5 : Type {3,14}_18 Order 6048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2, S * R * S^-6 * R * S^-1 * R * S^7 * R^-1 * S ] R145.6 : Type {3,18}_24 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^18 ] R145.7 : Type {3,18}_24 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S^2 * R^-1 * S^2)^3, (S * R^-1 * S)^12 ] R145.8 : Type {3,24}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^6, (S * R^-1 * S^5 * R^-1 * S)^2, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ] R145.9 : Type {3,24}_12 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^6, 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 ] R145.10 : Type {3,24}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^5 * R^-1 * S * R^-1 * S^-6 * R * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2 * R * S^-2, S^-2 * R^-1 * S^4 * R * S^-2 * R^-1 * S * R^-1 * S^-4 * R * S^2 * R^-1 * S^-1 ] R145.11 : Type {3,24}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2 * R * S^-2, S^-2 * R^-1 * S^4 * R * S^-2 * R^-1 * S * R^-1 * S^-4 * R * S^2 * R^-1 * S^-1 ] R145.12 : Type {3,24}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2, (S * R^-1 * S^5 * R^-1 * S)^2, 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 ] R145.13 : Type {3,24}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2, 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 ] R145.14 : Type {3,30}_8 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2, S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1 ] R145.15 : Type {4,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S, R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 ] R145.16 : Type {4,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, R * S^-2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-2 ] R145.17 : Type {4,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-3 * R^-2 * S^-3 * R * S^-1 * R * S^3 * R^2 * S^3 * R * S^-1 ] R145.18 : Type {4,8}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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 ] R145.19 : Type {4,8}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R145.20 : Type {4,8}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, S * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ] R145.21 : Type {4,8}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, R^-1 * S^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1 ] R145.22 : Type {4,8}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S ] R145.23 : Type {4,8}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 * R * S * R^-1 * S^-2 ] R145.24 : Type {4,8}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-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 ] R145.25 : Type {4,8}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, (R * S^-1)^12 ] R145.26 : Type {4,8}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^2 * S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 ] R145.27 : Type {4,8}_48 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^2 * S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 ] R145.28 : Type {4,12}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^12, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R145.29 : Type {4,12}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R145.30 : Type {4,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12 ] R145.31 : Type {4,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^12 ] R145.32 : Type {4,12}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^12, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R145.33 : Type {4,12}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-1)^12 ] R145.34 : Type {4,12}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, (R * S^-1)^12 ] R145.35 : Type {4,20}_8 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2 ] R145.36 : Type {4,20}_8 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-4 * R * S^5, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R145.37 : Type {4,20}_60 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2, S^20 ] R145.38 : Type {4,28}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R145.39 : Type {4,28}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * 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, (R * S^-6)^2 ] R145.40 : Type {4,36}_4 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-5 * R * S^-1 * R * S^-1 * R * S^-5 ] R145.41 : Type {4,36}_36 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^36 ] R145.42 : Type {4,36}_36 Order 2592 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^36 ] R145.43 : Type {4,40}_10 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-4 * R * S^5 ] R145.44 : Type {4,40}_10 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R145.45 : Type {4,40}_20 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S ] R145.46 : Type {4,40}_20 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-4 * R * S^5 ] R145.47 : Type {4,40}_40 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^40 ] R145.48 : Type {4,40}_40 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^40 ] R145.49 : Type {4,40}_40 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^40 ] R145.50 : Type {4,40}_40 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S^-6 * R^-1 * S * R * S^-3 * R * S^6 * R^-1 * S^-4 ] R145.51 : Type {4,40}_40 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^6 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-7 * R * S^3 ] R145.52 : Type {4,40}_40 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^14 * R^-1 * S^-4 ] R145.53 : Type {4,40}_40 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^40 ] R145.54 : Type {4,40}_80 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^5 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^2 * S^-2 * R * S^2 * R^-1 * S^-1 * R * S^5 ] R145.55 : Type {4,68}_102 Order 2448 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^17 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^12 ] R145.56 : Type {4,76}_152 Order 2432 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^76 ] R145.57 : Type {4,148}_148 Order 2368 mV = 37 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^148 ] R145.58 : Type {4,292}_292 Order 2336 mV = 146 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^292 ] R145.59 : Type {4,580}_290 Order 2320 mV = 580 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^145 * R^2 * S^145 ] R145.60 : Type {5,6}_6 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, (R * S^-2)^4 ] R145.61 : Type {5,10}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^-3 * R ] R145.62 : Type {6,6}_6 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-2 * S^-2 ] R145.63 : Type {6,6}_6 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2 * R^2 * S^-1 * R)^2, S^-1 * R * S^-1 * R^-2 * S * R^3 * S^-1 * R * S^3 * R * S^-1 ] R145.64 : Type {6,6}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^-1 * R * S^-1 * R^2 * S^-1 * R^-2 * S^3 * R^3 * S^-2 ] R145.65 : Type {6,6}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, 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^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] R145.66 : Type {6,6}_12 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2 ] R145.67 : Type {6,6}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (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^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R145.68 : Type {6,6}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R^-1 * S^2)^6 ] R145.69 : Type {6,6}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-2 * S^-1 * R * S^-1 ] R145.70 : Type {6,6}_24 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R145.71 : Type {6,12}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R145.72 : Type {6,12}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-3 * R * S^-1)^2 ] R145.73 : Type {6,12}_6 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R145.74 : Type {6,12}_6 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R145.75 : Type {6,12}_6 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R145.76 : Type {6,12}_6 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R145.77 : Type {6,12}_6 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R145.78 : Type {6,12}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-3 * R * S^-1)^2, S^12 ] R145.79 : Type {6,12}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12, S^-3 * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S^-1 * R ] R145.80 : Type {6,12}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-2 * R^3 * S^2 * R^-1 ] R145.81 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R)^4, 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^-3 * R ] R145.82 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^2 * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S^-2 ] R145.83 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-3 * R * S^-1)^2 ] R145.84 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12, R^2 * S^-4 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R145.85 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^12 ] R145.86 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1 ] R145.87 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^12, R^2 * S^-4 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R145.88 : Type {6,12}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-1 * R)^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 ] R145.89 : Type {6,12}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 ] R145.90 : Type {6,12}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^12, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R145.91 : Type {6,12}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1, S^12 ] R145.92 : Type {6,12}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ] R145.93 : Type {6,12}_24 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^2 * R^-1 * S^3 * R * S^-3 * R * S^-2 * R * S^2 ] R145.94 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-2 * S^-2 * R * S^-1 ] R145.95 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (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 ] R145.96 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (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 ] R145.97 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, (R * S^-3 * R * S^-1)^2 ] R145.98 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (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 ] R145.99 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^12 ] R145.100 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-2)^4, (R * S^-5)^2 ] R145.101 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (S^-1 * R^2 * S^-1)^3 ] R145.102 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R145.103 : Type {6,12}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S * R * S^-2 * R^-1 * S * R^-1 * S^3 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^2 ] R145.104 : Type {6,12}_24 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S * R^-1 * S^-2 * R^-2 * S * R^2 * S^-1 * R^-3 * S * R^-2 * S^-1 * R^2 * S^2 * R * S^-1 * R^-2 ] R145.105 : Type {6,12}_24 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, R^2 * S * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 ] R145.106 : Type {6,15}_12 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-3 * R^2 * S * R^-1 * S^3 ] R145.107 : Type {6,15}_30 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2, S * R * S^-4 * R^2 * S^5 * R^-1 ] R145.108 : Type {6,15}_60 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-15, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R145.109 : Type {6,21}_8 Order 2016 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, S^6 * R * S^-6 * R * S^2, S^2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^2 ] R145.110 : Type {6,21}_14 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R^-1 * S^2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R145.111 : Type {6,21}_24 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-4 * R^3 * S^-1 * R * S * R^-2 * S^-1, (R * S^-2)^4 ] R145.112 : Type {6,21}_42 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-4 * R^-2 * S^2 * R^-2 * S^-1, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 ] R145.113 : Type {6,30}_20 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^6 ] R145.114 : Type {6,30}_40 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, R^-1 * S * R * S^-4 * R^4 * S^-5 ] R145.115 : Type {6,30}_40 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S^4 * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S^-3 ] R145.116 : Type {6,39}_156 Order 1872 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-39 ] R145.117 : Type {6,51}_102 Order 1836 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-51 ] R145.118 : Type {6,111}_148 Order 1776 mV = 37 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-19 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-15 ] R145.119 : Type {6,147}_294 Order 1764 mV = 49 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-147 ] R145.120 : Type {6,435}_290 Order 1740 mV = 435 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-73 * R^2 * S^-72 ] R145.121 : Type {7,14}_18 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ] R145.122 : Type {7,14}_18 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2 ] R145.123 : Type {8,8}_6 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, (R * S^-1 * R)^4, 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^2 * S * R^-1 * S^-1 * R * S ] R145.124 : Type {8,8}_6 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2 ] R145.125 : Type {8,8}_6 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6 ] R145.126 : Type {8,8}_6 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, R * S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R * S^-1 ] R145.127 : Type {8,8}_12 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R * S^-2 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^2 ] R145.128 : Type {8,8}_12 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-2 * S^2 * R^3 * S^2 * R^-2 * S ] R145.129 : Type {8,8}_12 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-2 * S * R^-1 * S^2 * R^-1 * S * R^2 * S^-2 * R^-2 * S * R^-1 * S^2 * R^-2 * S^-1 * R * S^-2 ] R145.130 : Type {8,8}_12 Order 2304 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, 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 ] R145.131 : Type {8,8}_24 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-2 * S * R^-1 * S^2 * R^-1 * S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R145.132 : Type {8,8}_24 Order 2304 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S * R^-2 * S^-1 * R ] R145.133 : Type {8,8}_24 Order 2304 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, (R * S^-1)^12 ] R145.134 : Type {8,8}_24 Order 2304 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R * S^-1 * 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 * R * S^-1 ] R145.135 : Type {8,8}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^2 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S ] R145.136 : Type {8,24}_12 Order 1728 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R145.137 : Type {8,24}_12 Order 1728 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S * R * S^-5 * R * S^6 ] R145.138 : Type {8,24}_12 Order 1728 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R145.139 : Type {8,24}_12 Order 1728 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^6, (R * S^-5)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R ] R145.140 : Type {8,24}_12 Order 1728 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R145.141 : Type {8,24}_12 Order 1728 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^-6 * R^-4 * S^-6 ] R145.142 : Type {8,24}_12 Order 1728 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S, (R * S^-1)^6 ] R145.143 : Type {8,24}_12 Order 1728 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^6, S^-6 * R^-4 * S^-6 ] R145.144 : Type {9,18}_24 Order 1728 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^-3 * S^4, S^-1 * R^-1 * S^2 * R * 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 ] R145.145 : Type {12,12}_4 Order 1728 mV = 1 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^12 ] R145.146 : Type {12,12}_4 Order 1728 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)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^12 ] R145.147 : Type {12,12}_6 Order 1728 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, 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^-2 * R^3 * S^3 * R^-2, S * R * S^-3 * R^2 * S^4 * R^-1 ] R145.148 : Type {12,12}_6 Order 1728 mV = 1 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R * S^-2 * R^4 * S^-2 * R * S^2, S^12 ] R145.149 : Type {12,12}_6 Order 1728 mV = 1 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, R^12, S^12 ] R145.150 : Type {12,12}_12 Order 1728 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^12, S^12 ] R145.151 : Type {12,12}_12 Order 1728 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^12, S^12 ] R145.152 : Type {12,12}_12 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^12, S^-2 * R^5 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S * R^-1 * S^3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R145.153 : Type {12,12}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, R^3 * S^-1 * R^3 * S^-5 ] R145.154 : Type {12,12}_12 Order 1728 mV = 1 mF = 1 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, R^12, S^12 ] R145.155 : Type {12,12}_12 Order 1728 mV = 1 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^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^12, S^12 ] R145.156 : Type {12,12}_12 Order 1728 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)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, S^12 ] R145.157 : Type {12,12}_12 Order 1728 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)^2, (R * S^-2 * R)^2, R^12, S^12 ] R145.158 : Type {12,12}_12 Order 1728 mV = 1 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, R^12, S^12 ] R145.159 : Type {12,12}_12 Order 1728 mV = 2 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, R^12, R * S^-1 * R^5 * S * R^-2 * S^-2, S^12 ] R145.160 : Type {12,12}_12 Order 1728 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R145.161 : Type {12,12}_12 Order 1728 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^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R145.162 : Type {12,12}_12 Order 1728 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^-2 * S^2 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 * R^2 * S^-2 ] R145.163 : Type {12,12}_12 Order 1728 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^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ] R145.164 : Type {12,12}_24 Order 1728 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R145.165 : Type {12,12}_24 Order 1728 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^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ] R145.166 : Type {12,24}_4 Order 1536 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^12, (R * S^-2 * R^3)^2, R^3 * S^-1 * R^3 * S^-5 ] R145.167 : Type {12,24}_4 Order 1536 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^12, S^-2 * R^5 * S^-3 * R * S^-1, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2 ] R145.168 : Type {12,24}_4 Order 1536 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^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-2)^4, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R145.169 : Type {12,24}_4 Order 1536 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^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-2 * R * S^-1 * R)^2 ] R145.170 : Type {12,24}_8 Order 1536 mV = 2 mF = 1 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^12, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R145.171 : Type {12,24}_8 Order 1536 mV = 2 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^4, R^12, S^-2 * R * S^-1 * R^3 * S^-2 * R^2 * S^-1 ] R145.172 : Type {12,24}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R145.173 : Type {12,24}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2 ] R145.174 : Type {12,24}_8 Order 1536 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ] R145.175 : Type {12,24}_8 Order 1536 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ] R145.176 : Type {12,24}_8 Order 1536 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, R^12, S^-1 * R * S^-1 * R^4 * S^-4 * R ] R145.177 : Type {12,24}_8 Order 1536 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^2 * S^3 * R^-1, 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^4 * S^4 * R^-1 * S^-1 ] R145.178 : Type {12,24}_8 Order 1536 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^12, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-4 * R)^2 ] R145.179 : Type {12,24}_8 Order 1536 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^12, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-2 * R * S^-1 * R)^2 ] R145.180 : Type {12,24}_8 Order 1536 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^2 * S^-1 * R^2 * S^4, (R * S^-2)^4 ] R145.181 : Type {12,24}_8 Order 1536 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^-3 * R^4 * S * R^-2 * S^-2, (R * S^-2)^4 ] R145.182 : Type {12,24}_8 Order 1536 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, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R145.183 : Type {12,24}_8 Order 1536 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 * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R145.184 : Type {12,24}_8 Order 1536 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 * S^-2 * R^2 * S^3 * R^-1, R^12, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R145.185 : Type {12,24}_16 Order 1536 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, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2, S^-2 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1 * R ] R145.186 : Type {12,24}_16 Order 1536 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^12, R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2, S^3 * R^-1 * S^2 * R^-3 * S^2 * R^-1 * S^-1 * R * S^2 ] R145.187 : Type {12,24}_16 Order 1536 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, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-2 ] R145.188 : Type {12,24}_16 Order 1536 mV = 8 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^12, (R * S^-1 * R^4)^2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, (R * S^-1 * R)^4 ] R145.189 : Type {12,24}_16 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^5 * S^2 * R^-1 * S^-2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, (R * S^-1 * R)^4 ] R145.190 : Type {12,60}_10 Order 1440 mV = 12 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 * R * S^-4 * R * S^5, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S ] R145.191 : Type {12,60}_10 Order 1440 mV = 12 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^-2 * R * S^-1)^3, S * R * S^-4 * R * S^5 ] R145.192 : Type {12,60}_60 Order 1440 mV = 10 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^60 ] R145.193 : Type {12,60}_60 Order 1440 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^10 * R * S^-3 * R * S^7 ] R145.194 : Type {12,60}_60 Order 1440 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^60 ] R145.195 : Type {12,348}_58 Order 1392 mV = 348 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^29 * R * S^-4 * R * S^25 ] R145.196 : Type {20,20}_12 Order 1440 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1, R^-4 * S^2 * R^-8 * S * R^-1 * S^3 * R^-1 ] R145.197 : Type {21,42}_8 Order 1344 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, R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2, S * R^-3 * S^3 * R^-12 * S^2 ] R145.198 : Type {22,319}_58 Order 1276 mV = 319 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^2 * S^-1 * R^11 * S^-4 * R * S^-1, S^-15 * R * S^9 * R^-1 * S^-5 ] R145.199 : Type {27,54}_12 Order 1296 mV = 9 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R * S^-6 * R^14 * S^-6 ] R145.200 : Type {28,28}_6 Order 1344 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^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2 ] R145.201 : Type {28,28}_6 Order 1344 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^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, (R^3 * S^-1)^3 ] R145.202 : Type {30,105}_42 Order 1260 mV = 35 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^24 * S^-1 * R * S^-1 * R^3, S^-11 * R * S^3 * R^-1 * S^-7 ] R145.203 : Type {36,36}_6 Order 1296 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^6 * S^5, R^2 * S^-3 * R^4 * S^-2 * R * S^-1 * R^3 * S^-1 * R^12 * S^-7 ] R145.204 : Type {36,36}_6 Order 1296 mV = 6 mF = 12 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^-1 * S^7 * R^-2 * S * R^-2 * S^6 * R^-10 * S^6 * R^-1 ] R145.205 : Type {36,36}_6 Order 1296 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, S * R^-1 * S^6 * R^-1 * S * R^-2 * S^3 * R^-1 * S^2 * R^-11 * S^3 * R^-1 * S * R^-1 * S ] R145.206 : Type {36,36}_6 Order 1296 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, S * R * S^-3 * R * S^4, R^8 * S^-4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R145.207 : Type {36,36}_6 Order 1296 mV = 12 mF = 6 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^7 * S^-2 * R * S^-2 ] R145.208 : Type {36,36}_18 Order 1296 mV = 18 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^-1 * S * R^10 * S * R^-7, S^4 * R^-6 * S * R^-13 * S * R^-5 * S^4 * R^-2 ] R145.209 : Type {36,36}_18 Order 1296 mV = 18 mF = 18 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^-1 * R^-1 * S^2 * R^-1 * T * R * S^-4 * T * S * R^12 * S^7 * R^-1 * S^-1 * R * S ] R145.210 : Type {40,40}_4 Order 1280 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^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^-1 * S^3 * R^-11 * S * R^-3 * S ] R145.211 : Type {40,40}_4 Order 1280 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^4, R^-2 * S * R^-1 * S^22 * R^-1 * S * R^-8 * S^3 * R^-1 ] R145.212 : Type {40,40}_4 Order 1280 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^-1 * R^5 * S^-4 ] R145.213 : Type {40,40}_4 Order 1280 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^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R145.214 : Type {40,40}_4 Order 1280 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^6 * S^2 * R^-2 * S, R^-1 * S * R^-2 * S * R^-2 * S * R^-3 * S * R^-2 * S * R^-4 * S ] R145.215 : Type {40,40}_4 Order 1280 mV = 10 mF = 10 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^17 * S^-5 * R^8 * S^-1 * R^3 * S^-1 * R * S^-1 * R ] R145.216 : Type {40,40}_8 Order 1280 mV = 8 mF = 8 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^-3 * S * R^-2 * S * R^-3)^2 ] R145.217 : Type {40,40}_8 Order 1280 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 * S^-1 * R^3 * S^-1 * R * S^-2, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R145.218 : Type {40,40}_8 Order 1280 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^3 * R^-1, R^3 * S^-4 * R * S^-1 * R^3 * S^-1 * R * S^-1 * R^3 * S^-2 ] R145.219 : Type {40,40}_8 Order 1280 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^5 * S^-4, (S^-1 * R)^5, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1 ] R145.220 : Type {40,40}_8 Order 1280 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^3 * S * R^-2 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^2 * R^-1 * S * T * S^-1 * R^2 * S^-1 * R^5 * S^-1 * R * S^-1 * T * S^3 * R^-1 ] R145.221 : Type {40,40}_8 Order 1280 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, S * R^-1 * S^3 * R^-1 * S * R^-3 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-4 * S ] R145.222 : Type {40,40}_8 Order 1280 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, S^2 * R^-7 * S * R^-2 * S^8 * T * S^-1 * R^9 * S^-2 * T * R^-1 * S^3 * R^-1 * S * R^-2 ] R145.223 : Type {40,40}_8 Order 1280 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, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, R^-2 * S^3 * R^-1 * T * R^9 * S^-1 * R * S^-1 * T * R^-1 * S ] R145.224 : Type {40,40}_8 Order 1280 mV = 10 mF = 10 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^2 * S^-1 * R^2 * S^-3 * R^5 * S^-1 * R * S^-5 ] R145.225 : Type {68,68}_6 Order 1224 mV = 17 mF = 17 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^-5 * R^2 * S^-7 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ] R145.226 : Type {75,150}_4 Order 1200 mV = 50 mF = 25 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^54 * R^-2 * S * R^-14 * S ] R145.227 : Type {76,76}_4 Order 1216 mV = 19 mF = 19 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 * S^-2 * R^45 * S^-3 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 ] R145.228 : Type {99,198}_6 Order 1188 mV = 99 mF = 33 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^51 * R^-1 * S^8 * R^-6 * S * R^-13 * S * R^-5 * S^11 ] R145.229 : Type {118,295}_10 Order 1180 mV = 295 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^-4 * R * S^5, S^15 * R^-9 * S * R^-1 * S * R^-32 ] R145.230 : Type {148,148}_4 Order 1184 mV = 74 mF = 74 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^101 * R^-11 * S * R^-1 * S * R^-31 * S ] R145.231 : Type {291,582}_2 Order 1164 mV = 582 mF = 291 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^136 * T * R^2 * S^-1 * T * S * R^-9 * S * T * R * S^-1 * T * R^-138 ] R145.232 : Type {292,292}_2 Order 1168 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^139 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * S * R^-2 * T * S^-136 * R ] R145.233 : Type {580,580}_2 Order 1160 mV = 580 mF = 580 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^138 * T * S * R^-1 * T * S^-1 * R^10 * S^-2 * R * S^-135 * R ] Genus 146 R146.1 : Type {3,7}_28 Order 24360 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^-3 * R * S^-1 * R * S^-2 ] R146.2 : Type {3,7}_30 Order 24360 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-3 * R * S^-2 * R * S^-3 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-3 * R * S^-1 ] R146.3 : Type {3,7}_30 Order 24360 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R146.4 : Type {4,294}_588 Order 2352 mV = 147 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^294 ] R146.5 : Type {4,584}_584 Order 2336 mV = 584 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^146 * R^2 * S^146 ] R146.6 : Type {6,148}_444 Order 1776 mV = 74 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^148 ] R146.7 : Type {6,438}_146 Order 1752 mV = 438 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^73 * R^2 * S^73 ] R146.8 : Type {8,51}_204 Order 1632 mV = 17 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-51 ] R146.9 : Type {8,196}_392 Order 1568 mV = 98 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^49 * R^-2 * S^6 * R^-2 * S^43 ] R146.10 : Type {10,75}_150 Order 1500 mV = 15 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-75 ] R146.11 : Type {10,365}_146 Order 1460 mV = 365 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-37 * R^2 * S^-36 ] R146.12 : Type {39,104}_12 Order 1248 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^-3 * R * S^4, S * R^-1 * S * R^-4 * S^2 * R^-1 * S * R^-1 * S ] R146.13 : Type {44,154}_28 Order 1232 mV = 77 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^2 * R^-2 * S^5 * R^-6 * S^7 ] R146.14 : Type {100,150}_12 Order 1200 mV = 75 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-5 * R^30 * S^-1 * R * S^-1 * R^11 * S^-1 ] R146.15 : Type {148,296}_8 Order 1184 mV = 296 mF = 74 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^28 * R^-11 * S * R^-1 * S * R^-32 ] R146.16 : Type {293,586}_2 Order 1172 mV = 586 mF = 293 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^271 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-3 * T ] R146.17 : Type {294,294}_2 Order 1176 mV = 294 mF = 294 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^142 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-136 ] R146.18 : Type {584,584}_2 Order 1168 mV = 584 mF = 584 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^139 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * S * R^-2 * T * S^-137 ] Genus 147 R147.1 : Type {4,150}_150 Order 2400 mV = 50 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^150 ] R147.2 : Type {4,296}_296 Order 2368 mV = 148 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^74 * R * S^-1 * R * S^73 ] R147.3 : Type {4,296}_296 Order 2368 mV = 148 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^296 ] R147.4 : Type {4,588}_294 Order 2352 mV = 588 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^147 * R^2 * S^147 ] R147.5 : Type {6,76}_114 Order 1824 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^19 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^15 ] R147.6 : Type {8,27}_54 Order 1728 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-27 ] R147.7 : Type {8,100}_200 Order 1600 mV = 25 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^100 ] R147.8 : Type {8,100}_200 Order 1600 mV = 50 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^100 ] R147.9 : Type {8,392}_98 Order 1568 mV = 392 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^49 * R^2 * S^49 ] R147.10 : Type {8,392}_196 Order 1568 mV = 392 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^49 * R * S^-2 * R * S^47 ] R147.11 : Type {16,44}_176 Order 1408 mV = 11 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^44 ] R147.12 : Type {16,44}_176 Order 1408 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^44 ] R147.13 : Type {16,336}_42 Order 1344 mV = 336 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^16, S^21 * R * S^-4 * R * S^17 ] R147.14 : Type {16,336}_84 Order 1344 mV = 336 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^16, S^21 * R^2 * S^21 ] R147.15 : Type {21,56}_6 Order 1344 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^6 * S^-6, S^2 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 ] R147.16 : Type {39,156}_8 Order 1248 mV = 52 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^-2 * R * S^3, R^-1 * S^16 * R^-1 * S * R^-19 * S ] R147.17 : Type {44,308}_14 Order 1232 mV = 308 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^-1 * S^6 * R^-1 * S^-2, R^-1 * S * R^-8 * S * R^-1 * S * R^-30 * S ] R147.18 : Type {52,78}_6 Order 1248 mV = 26 mF = 13 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, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^13 * S^-2 * R ] R147.19 : Type {76,152}_8 Order 1216 mV = 76 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^5 * S * R^-3, S^-1 * R^30 * S^-9 * R^3 * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R^5 * S^-11 ] R147.20 : Type {76,152}_8 Order 1216 mV = 76 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, R^61 * S^-1 * R * S^-1 * R^12 ] R147.21 : Type {86,301}_14 Order 1204 mV = 301 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^-5 * R^24 * S^-1 * R * S^-1 * R^9 * S^-2 ] R147.22 : Type {100,300}_6 Order 1200 mV = 300 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^-2 * R * S^3, R^82 * S^-1 * R * S^-2 * R * S^-1 * R^12 ] R147.23 : Type {150,150}_4 Order 1200 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^2, R * S^-1 * R^110 * S^-2 * R^13 * S^-21 * R * S^-1 ] R147.24 : Type {295,590}_2 Order 1180 mV = 590 mF = 295 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^136 * T * R * S^-1 * R * T * S * R^-9 * S * T * R * S^-1 * T * R^-142 ] R147.25 : Type {296,296}_2 Order 1184 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^143 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-136 * R ] R147.26 : Type {296,296}_4 Order 1184 mV = 296 mF = 296 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^102 * R^-11 * S * R^-1 * S * R^-32 ] R147.27 : Type {588,588}_2 Order 1176 mV = 588 mF = 588 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^142 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-135 * R ] Genus 148 R148.1 : Type {3,12}_42 Order 7056 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 ] R148.2 : Type {3,42}_14 Order 4116 mV = 7 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (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 * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R148.3 : Type {3,48}_16 Order 4032 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-8 * R^-1 * S^7 * R^-1 * S^-1, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^4 * R^-1 * S^2 * R^-1 * S ] R148.4 : Type {3,48}_28 Order 4032 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S^-8 * R^-1 * S^7 * R^-1 * S^-1, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S ] R148.5 : Type {4,28}_14 Order 2744 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (S^-1 * R)^7 ] R148.6 : Type {4,102}_68 Order 2448 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^17 * R^2 * S * R^-1 * S^-1 * R * S^15 ] R148.7 : Type {4,298}_596 Order 2384 mV = 149 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^298 ] R148.8 : Type {4,592}_592 Order 2368 mV = 592 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^148 * R^2 * S^148 ] R148.9 : Type {6,6}_42 Order 3528 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S, R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 * R ] R148.10 : Type {6,6}_42 Order 3528 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R^2 * S * R^-1 * S^-2 ] R148.11 : Type {6,12}_28 Order 2352 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ] R148.12 : Type {6,12}_28 Order 2352 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^2 * S^-1 ] R148.13 : Type {6,24}_4 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-2 * R^-2 * S * R^3 * S * R^-2 * S^-1 ] R148.14 : Type {6,24}_6 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R148.15 : Type {6,52}_52 Order 1872 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^52 ] R148.16 : Type {6,150}_150 Order 1800 mV = 50 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^150 ] R148.17 : Type {6,150}_150 Order 1800 mV = 75 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^25 * R * S^-3 * R * S^22 ] R148.18 : Type {6,150}_150 Order 1800 mV = 75 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^150 ] R148.19 : Type {6,444}_148 Order 1776 mV = 444 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^74 * R * S^-1 * R * S^73 ] R148.20 : Type {8,12}_6 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R^-2 * S)^3 ] R148.21 : Type {8,12}_42 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^12, R^-3 * S * R^-3 * S^2 * R^-2 * S^2 ] R148.22 : Type {9,18}_14 Order 1764 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^-3 * S^4, S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 ] R148.23 : Type {10,76}_380 Order 1520 mV = 38 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^76 ] R148.24 : Type {10,370}_74 Order 1480 mV = 370 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^37 * R * S^-1 * R * S^36 ] R148.25 : Type {12,120}_120 Order 1440 mV = 40 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 * R * S^-2 * R * S^28 ] R148.26 : Type {12,120}_120 Order 1440 mV = 60 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^10 * R^-3 * S^-1 * R * S^4 * R^2 * S^5 ] R148.27 : Type {12,120}_120 Order 1440 mV = 60 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 * R^-3 * S^-3 * T * S * R^2 * S * R^-1 * T * S^25 ] R148.28 : Type {18,333}_74 Order 1332 mV = 333 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^-19 * R * S^5 * R^-1 * S^-13 ] R148.29 : Type {27,108}_6 Order 1296 mV = 27 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^19 * S^-1 * R * S^-1 * R^2 * S^-2 * R ] R148.30 : Type {42,105}_30 Order 1260 mV = 35 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^2 * R^-2 * S^5 * R^-4 * S^8 ] R148.31 : Type {76,304}_16 Order 1216 mV = 304 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^-6 * R^20 * S^-1 * R * S^-1 * R^7 * S^-2 ] R148.32 : Type {102,102}_6 Order 1224 mV = 51 mF = 34 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^56 * S^-10 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-10 ] R148.33 : Type {102,102}_6 Order 1224 mV = 51 mF = 51 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 * S^-3 * R^3 * S^-2 * R * S^-1 * R^3 * S^-1 * R^12 * S^-7 ] R148.34 : Type {150,300}_4 Order 1200 mV = 300 mF = 75 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^104 * R^-11 * S * R^-1 * S * R^-32 ] R148.35 : Type {297,594}_2 Order 1188 mV = 594 mF = 297 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^137 * T * R * S^-1 * R * T * S * R^-9 * S * T * R * S^-1 * T * R^-142 * S ] R148.36 : Type {298,298}_2 Order 1192 mV = 298 mF = 298 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^144 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-138 ] R148.37 : Type {592,592}_2 Order 1184 mV = 592 mF = 592 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^143 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-137 ] Genus 149 R149.1 : Type {4,78}_156 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^78 ] R149.2 : Type {4,152}_76 Order 2432 mV = 38 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^38 * R^2 * S * R^-1 * S^-1 * R * S^36 ] R149.3 : Type {4,152}_152 Order 2432 mV = 38 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^152 ] R149.4 : Type {4,300}_300 Order 2400 mV = 150 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^300 ] R149.5 : Type {4,596}_298 Order 2384 mV = 596 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^149 * R^2 * S^149 ] R149.6 : Type {6,40}_4 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, 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^-4)^2 ] R149.7 : Type {6,40}_8 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R * S^-1 * R^-1 * S^3 * R^2 * S^2 * R^-2 * S^2 ] R149.8 : Type {6,40}_30 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-3 * R^2 * S^-1 * R^2 * S^-6 ] R149.9 : Type {6,40}_30 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-5 * R)^2 ] R149.10 : Type {6,40}_40 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R149.11 : Type {6,40}_40 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^-1 * R^-2 * S * R * S^-1 * R^-2 * S^-4 * R * S^-1 ] R149.12 : Type {6,40}_60 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-10 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-5 ] R149.13 : Type {6,40}_120 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^40 ] R149.14 : Type {6,114}_76 Order 1824 mV = 38 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^19 * R * S^-1 * R^2 * S^-5 * R^-1 * S^13 ] R149.15 : Type {6,447}_298 Order 1788 mV = 447 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-75 * R * S * R^-1 * S^-73 ] R149.16 : Type {8,15}_30 Order 1920 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-15 ] R149.17 : Type {8,15}_60 Order 1920 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^-15 ] R149.18 : Type {8,15}_60 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^-15 ] R149.19 : Type {8,52}_52 Order 1664 mV = 13 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^52 ] R149.20 : Type {8,52}_104 Order 1664 mV = 13 mF = 2 Defining relations for automorphism group: [ R^8, 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^52 ] R149.21 : Type {8,200}_100 Order 1600 mV = 100 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^50 * R * S^-1 * R * S^49 ] R149.22 : Type {8,200}_100 Order 1600 mV = 100 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^50 * R^2 * S^6 * R^2 * S^44 ] R149.23 : Type {10,21}_70 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-1 * S^4 * R^4 * S * R^-1 * S^-1 * R^2 * S^-1 ] R149.24 : Type {12,32}_96 Order 1536 mV = 8 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^-7 * R^2 * S^-1 * R^-1 * S * R^-2 * S^4 * R^-1 * S^-3 ] R149.25 : Type {12,32}_96 Order 1536 mV = 8 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^6 * R * S^-2 * R^2 * S^-2 * R * S * R^-1 * S^-1 * R * S^4 ] R149.26 : Type {12,32}_96 Order 1536 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, R^12, S^32 ] R149.27 : Type {12,32}_96 Order 1536 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, (R * S^-1)^4, (R * S^-3)^2, R^12, S^8 * R^-2 * S * R^-1 * S^-5 * R * S^2 ] R149.28 : Type {20,68}_170 Order 1360 mV = 34 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^17 * R^-2 * S^6 * R^-5 * S^-1 * R * S * R^-1 * S^-1 * R * S^8 ] R149.29 : Type {24,56}_84 Order 1344 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^11 * S * R^-1 * S, S^14 * R * S^-1 * R * S^13 ] R149.30 : Type {24,56}_84 Order 1344 mV = 28 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^14 * R^-2 * S^6 * R^-5 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^3 ] R149.31 : Type {28,42}_12 Order 1344 mV = 7 mF = 7 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, R^8 * S^-6 ] R149.32 : Type {32,160}_20 Order 1280 mV = 80 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 * R^-2 * S * R^-1 * S * R^-24 * S, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R149.33 : Type {32,160}_20 Order 1280 mV = 80 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, R^-1 * S^4 * R^-2 * S * R^-1 * S * R^-2 * S^4, S^10 * R * S^-1 * R * S^9 ] R149.34 : Type {32,160}_40 Order 1280 mV = 80 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 * R^-2 * S * R^-1 * S * R^-24 * S, S^10 * R * S^-1 * R * S^9 ] R149.35 : Type {32,160}_40 Order 1280 mV = 80 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, R^-1 * S^4 * R^-2 * S * R^-1 * S * R^-2 * S^4, S^12 * R^-1 * S^-4 * R^-3 * S^4 ] R149.36 : Type {40,80}_16 Order 1280 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, R^-3 * S * R^-1 * S * R^-2 * S * R^-2 * S^7 * R^-10 * S * R^-5 * S * R^-5 ] R149.37 : Type {40,80}_16 Order 1280 mV = 20 mF = 10 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, S^-3 * R^2 * S^-3 * R^5 * S^-1 * R * S^-3 * R^2 ] R149.38 : Type {40,80}_16 Order 1280 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-1 * R * S^-1 * R^3 * S^-1 * R^6 * S^-7 ] R149.39 : Type {40,80}_16 Order 1280 mV = 20 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-1 * S * R^-6 * S * R^-1 * S * R^-28 * S ] R149.40 : Type {40,80}_16 Order 1280 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 * S^2, R^-6 * S * R^9 * S * R^-1, R^4 * S^-3 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-5 * R^2 ] R149.41 : Type {40,80}_16 Order 1280 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 * S^-3 * R * S^4, S * R^6 * S * R^-2 * S^2, R^-2 * S * R^-3 * S * R^-1 * S^2 * R^-1 * S^3 * R^-14 * S * R^-3 * S^4 * R^-1 * S^2 * R^-1 ] R149.42 : Type {40,80}_16 Order 1280 mV = 40 mF = 10 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^-1 * R^4 * S^-1 * R^6 * S^-1 * R^2 * S^-5 ] R149.43 : Type {40,80}_16 Order 1280 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^-2 * R^3 * S^-1 * R^10 * S^-2 * R * S^-1, S^-4 * R^-1 * S^4 * R * S^-2 * R * S^4 * R^-1 * S^-2 ] R149.44 : Type {52,156}_12 Order 1248 mV = 78 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^-1 * S^5 * R^-1 * S^-2, S^-1 * R * S^-2 * R^33 * S^-1 * R * S^-1 * R^11 * S^-1 ] R149.45 : Type {78,78}_4 Order 1248 mV = 26 mF = 26 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^-1 * S^57 * R^-2 * S * R^-15 ] R149.46 : Type {152,152}_4 Order 1216 mV = 76 mF = 76 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^137 * S^-1 * R * S^-1 * R^12 ] R149.47 : Type {152,152}_4 Order 1216 mV = 76 mF = 76 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^-1 * R^45 * S^-3 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R149.48 : Type {299,598}_2 Order 1196 mV = 598 mF = 299 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^277 * S^-1 * R^4 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T ] R149.49 : Type {300,300}_2 Order 1200 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^-1 * S^279 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R149.50 : Type {596,596}_2 Order 1192 mV = 596 mF = 596 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^144 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * T * S^-137 * R ] Genus 150 R150.1 : Type {4,153}_306 Order 2448 mV = 51 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-153 ] R150.2 : Type {4,302}_604 Order 2416 mV = 151 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^302 ] R150.3 : Type {4,600}_600 Order 2400 mV = 600 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^150 * R^2 * S^150 ] R150.4 : Type {6,152}_456 Order 1824 mV = 76 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^152 ] R150.5 : Type {8,102}_204 Order 1632 mV = 34 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-26 * R^4 * S^-25 ] R150.6 : Type {8,102}_408 Order 1632 mV = 51 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^102 ] R150.7 : Type {12,62}_372 Order 1488 mV = 31 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^62 ] R150.8 : Type {14,52}_364 Order 1456 mV = 26 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^52 ] R150.9 : Type {14,350}_50 Order 1400 mV = 350 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^25 * R * S^-3 * R * S^22 ] R150.10 : Type {22,32}_352 Order 1408 mV = 16 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^32 ] R150.11 : Type {22,330}_30 Order 1320 mV = 330 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^15 * R * S^-3 * R * S^12 ] R150.12 : Type {26,325}_50 Order 1300 mV = 325 mF = 13 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^-21 * S * R^-1, S^-13 * R * S^6 * R^-1 * S^-6 ] R150.13 : Type {28,48}_336 Order 1344 mV = 24 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-7 * T * S^2 * T * S^-3 * R^-5 * S^6 * R^-5 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R150.14 : Type {30,66}_110 Order 1320 mV = 33 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^11 * R * S^-1 * R * S^10 ] R150.15 : Type {33,55}_10 Order 1320 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, R^-6 * S^5, S^-2 * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 * R ] R150.16 : Type {52,312}_24 Order 1248 mV = 312 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^-6 * R^14 * S^-6 ] R150.17 : Type {62,310}_10 Order 1240 mV = 310 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, R^47 * S^-1 * R * S^-1 * R^12 ] R150.18 : Type {78,104}_12 Order 1248 mV = 26 mF = 26 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, R^-9 * S^4 ] R150.19 : Type {78,104}_24 Order 1248 mV = 52 mF = 39 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^7 * S * R^-5, R^-1 * S * R^-3 * S * R^-11 * S * R^-5 * S * R^-2 ] R150.20 : Type {122,305}_10 Order 1220 mV = 305 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^-4 * R * S^5, S^-4 * R^42 * S^-1 * R * S^-1 * R^11 * S^-1 ] R150.21 : Type {153,153}_4 Order 1224 mV = 51 mF = 51 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^23 * R^-13 * S^2 * R^-113 ] R150.22 : Type {202,303}_6 Order 1212 mV = 303 mF = 101 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^81 * S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 ] R150.23 : Type {301,602}_2 Order 1204 mV = 602 mF = 301 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^280 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R150.24 : Type {302,302}_2 Order 1208 mV = 302 mF = 302 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^281 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R150.25 : Type {600,600}_2 Order 1200 mV = 600 mF = 600 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^279 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 151 R151.1 : Type {3,12}_120 Order 7200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R151.2 : Type {3,30}_30 Order 4500 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S * R^-1 * S^6 * R^-1 * S^3 * R^-1 * S^-3 * R * S^3, S^-10 * R^-1 * S^9 * R^-1 * S^-1 ] R151.3 : Type {3,30}_30 Order 4500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (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 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S, 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 * S^-2 * R * S^2 * R^-1 * S^-1 ] R151.4 : Type {4,16}_80 Order 3200 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, R * S^3 * 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 ] R151.5 : Type {4,16}_80 Order 3200 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, (R * S^-1)^10 ] R151.6 : Type {4,28}_70 Order 2800 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^6 ] R151.7 : Type {4,304}_304 Order 2432 mV = 152 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^76 * R * S^-1 * R * S^75 ] R151.8 : Type {4,304}_304 Order 2432 mV = 152 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^304 ] R151.9 : Type {4,604}_302 Order 2416 mV = 604 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^151 * R^2 * S^151 ] R151.10 : Type {5,20}_12 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R151.11 : Type {5,20}_60 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R151.12 : Type {6,8}_4 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, 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^-2)^4, R * S^-2 * R^2 * S^-1 * R^2 * S^4 * R^3 * S^-1 ] R151.13 : Type {6,8}_10 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S, R * S^-4 * R^-1 * S^2 * R * S^-2 * R * S^4 * R * S^-1 * R * S^-3 ] R151.14 : Type {6,8}_30 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2 * S^-1 * R)^2 ] R151.15 : Type {6,8}_60 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R ] R151.16 : Type {6,9}_90 Order 2700 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R ] R151.17 : Type {6,12}_40 Order 2400 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-4 * R^3 * S^-2, S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S * R^-1 * S^-1 ] R151.18 : Type {6,21}_70 Order 2100 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R151.19 : Type {6,153}_306 Order 1836 mV = 51 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-153 ] R151.20 : Type {6,453}_302 Order 1812 mV = 453 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-76 * R^2 * S^-75 ] R151.21 : Type {9,24}_18 Order 1728 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^6 * R * S^-7 * R * S^3 ] R151.22 : Type {15,30}_10 Order 1500 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S^4 * R^-1, R^-15 ] R151.23 : Type {15,30}_10 Order 1500 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^2 * R^-3 * S^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R, (S * R^-1 * S)^5 ] R151.24 : Type {15,30}_10 Order 1500 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, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, S^-1 * R^6 * S^-5, (S * R^-1 * S)^5 ] R151.25 : Type {15,30}_10 Order 1500 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^-15, (S * R^-1 * S)^5 ] R151.26 : Type {15,30}_10 Order 1500 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^-2 * R^-3 * S^-4, (R * S^-1)^6, (S * R^-1 * S)^5 ] R151.27 : Type {15,60}_12 Order 1440 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R^6 * S * R^-4, (R * S^-3 * R^2)^2 ] R151.28 : Type {15,60}_24 Order 1440 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-15 ] R151.29 : Type {16,16}_10 Order 1600 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^16, R^-2 * S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 ] R151.30 : Type {16,16}_20 Order 1600 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^16, R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^2 * S^2 * R^-2 * S^-1 * R * S^2 ] R151.31 : Type {16,88}_176 Order 1408 mV = 44 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 * R^-2 * S^6 * R^-5 * S^-1 * R * S^15 ] R151.32 : Type {16,88}_176 Order 1408 mV = 44 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^22 * R * S^-1 * R * S^21 ] R151.33 : Type {20,30}_12 Order 1440 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-1 * R^-6 * S^-2 * R * S^-1 * R * S^-1 ] R151.34 : Type {24,84}_56 Order 1344 mV = 21 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^14 * R^-1 * S^-8 * R * S^6 ] R151.35 : Type {24,84}_56 Order 1344 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^14 * R * S^-1 * R * S^13 ] R151.36 : Type {28,28}_10 Order 1400 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^-1 * R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1 * R ] R151.37 : Type {40,160}_32 Order 1280 mV = 80 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^2 * R^-2 * S^5 * R^-2 * S^9 ] R151.38 : Type {40,160}_32 Order 1280 mV = 80 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^3 * S^-1 * R^10 * S^-2 * R * S^-1, S^-3 * R^-1 * S^5 * R^3 * S^-2 * R * S^4 * R^-1 * S^-2 ] R151.39 : Type {78,156}_8 Order 1248 mV = 52 mF = 26 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^-1 * S * R^-1 * S^14 * R^-1 * S * R^-20 ] R151.40 : Type {303,606}_2 Order 1212 mV = 606 mF = 303 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^282 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R151.41 : Type {304,304}_2 Order 1216 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^-1 * S^283 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R151.42 : Type {304,304}_4 Order 1216 mV = 304 mF = 304 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^136 * S^-1 * R * S^-1 * R^11 * S^-1 ] R151.43 : Type {604,604}_2 Order 1208 mV = 604 mF = 604 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^281 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 152 R152.1 : Type {4,306}_612 Order 2448 mV = 153 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^306 ] R152.2 : Type {4,608}_608 Order 2432 mV = 608 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^152 * R^2 * S^152 ] R152.3 : Type {6,154}_462 Order 1848 mV = 77 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^154 ] R152.4 : Type {6,456}_152 Order 1824 mV = 456 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^76 * R^2 * S^76 ] R152.5 : Type {8,204}_408 Order 1632 mV = 102 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^51 * R^4 * S^2 * T * S^-3 * T * S^46 ] R152.6 : Type {10,78}_390 Order 1560 mV = 39 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^78 ] R152.7 : Type {10,380}_76 Order 1520 mV = 380 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^38 * R * S^-2 * R * S^36 ] R152.8 : Type {18,40}_360 Order 1440 mV = 20 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^40 ] R152.9 : Type {18,342}_38 Order 1368 mV = 342 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^-3 * R^9 * S^-3 * R, S^19 * R^2 * S^19 ] R152.10 : Type {20,170}_68 Order 1360 mV = 85 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^-1 * S, S^17 * R * S^-1 * R * S^16 ] R152.11 : Type {30,110}_66 Order 1320 mV = 55 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^11 * R * S^-5 * R * S^6 ] R152.12 : Type {34,323}_38 Order 1292 mV = 323 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^26 * S^-1 * R * S^-1 * R^5, S^-10 * R * S * R^-1 * S^-8 ] R152.13 : Type {78,312}_8 Order 1248 mV = 312 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^-3 * R * S^4, R^63 * S^-1 * R * S^-1 * R^12 ] R152.14 : Type {104,156}_24 Order 1248 mV = 78 mF = 52 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, S * R^-1 * S^2 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-3 * S^4 ] R152.15 : Type {154,308}_4 Order 1232 mV = 308 mF = 77 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^139 * S^-1 * R * S^-1 * R^12 ] R152.16 : Type {305,610}_2 Order 1220 mV = 610 mF = 305 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^284 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R152.17 : Type {306,306}_2 Order 1224 mV = 306 mF = 306 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^285 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R152.18 : Type {608,608}_2 Order 1216 mV = 608 mF = 608 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^283 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 153 R153.1 : Type {3,38}_6 Order 4332 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^38 ] R153.2 : Type {4,42}_42 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^42 ] R153.3 : Type {4,42}_168 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^42 ] R153.4 : Type {4,80}_20 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^10 * R^2 * S * R^-1 * S^-1 * R * S^8 ] R153.5 : Type {4,80}_40 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^2 * R * S^-8 * R * S^5 * R^-1 * S^-1 * R * S^4 ] R153.6 : Type {4,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^80 ] R153.7 : Type {4,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^20 * R * S^-3 * R * S^17 ] R153.8 : Type {4,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^20 * R * S^-3 * R * S^17 ] R153.9 : Type {4,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^20 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^11 ] R153.10 : Type {4,156}_78 Order 2496 mV = 52 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^39 * R * S^-2 * R * S^37 ] R153.11 : Type {4,156}_156 Order 2496 mV = 39 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^156 ] R153.12 : Type {4,156}_156 Order 2496 mV = 52 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^156 ] R153.13 : Type {4,308}_308 Order 2464 mV = 154 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^308 ] R153.14 : Type {4,612}_306 Order 2448 mV = 612 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^153 * R^2 * S^153 ] R153.15 : Type {6,60}_40 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^10 * R * S^-1 * R^2 * S^-5 * R^-1 * S^4 ] R153.16 : Type {7,18}_6 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R153.17 : Type {7,18}_14 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^2 * R * S^-1 * R^-3 * S^-1 * R * S^4 ] R153.18 : Type {7,18}_14 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2 ] R153.19 : Type {8,28}_28 Order 1792 mV = 7 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^28 ] R153.20 : Type {8,28}_56 Order 1792 mV = 7 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^28 ] R153.21 : Type {8,28}_56 Order 1792 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, 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^28 ] R153.22 : Type {8,28}_56 Order 1792 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^28 ] R153.23 : Type {8,104}_52 Order 1664 mV = 26 mF = 2 Defining relations for automorphism group: [ R^8, 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^26 * R^2 * S * R^-1 * S^-6 * R^-1 * S^19 ] R153.24 : Type {8,104}_104 Order 1664 mV = 26 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^26 * R^2 * S^2 * R^-1 * S^-3 * R * S^21 ] R153.25 : Type {8,104}_104 Order 1664 mV = 26 mF = 2 Defining relations for automorphism group: [ R^8, 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^26 * R^3 * S^-2 * R * S^24 ] R153.26 : Type {8,104}_104 Order 1664 mV = 26 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^104 ] R153.27 : Type {8,104}_104 Order 1664 mV = 52 mF = 2 Defining relations for automorphism group: [ R^8, 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^26 * R * S^-1 * R * S^25 ] R153.28 : Type {8,104}_104 Order 1664 mV = 52 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^104 ] R153.29 : Type {8,408}_102 Order 1632 mV = 408 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^51 * R * S^-2 * R * S^49 ] R153.30 : Type {8,408}_204 Order 1632 mV = 408 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^51 * R^2 * S^51 ] R153.31 : Type {10,12}_8 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, (R * S^-5)^2 ] R153.32 : Type {10,12}_20 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^-1 * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S^-1 ] R153.33 : Type {10,12}_30 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S, S^12, R^3 * S^-1 * R^4 * S^-1 * R * S^4 ] R153.34 : Type {12,48}_4 Order 1536 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, R^12, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-3 ] R153.35 : Type {12,48}_8 Order 1536 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R153.36 : Type {12,48}_16 Order 1536 mV = 8 mF = 1 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^12, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R153.37 : Type {12,48}_16 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R153.38 : Type {12,48}_16 Order 1536 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 * 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^7 * R * S^-1 * R^-2 * S^-1 * R * S^7 ] R153.39 : Type {12,48}_16 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, 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 ] R153.40 : Type {12,48}_16 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, 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 ] R153.41 : Type {12,48}_16 Order 1536 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^8 * R^4 * S^8 ] R153.42 : Type {12,48}_16 Order 1536 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, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R153.43 : Type {12,48}_16 Order 1536 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ] R153.44 : Type {12,48}_16 Order 1536 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^-3 * R * S^4, R^12 ] R153.45 : Type {12,48}_16 Order 1536 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 * R * S^-6 * R^2 * S^-1 * R * S * R^-2 * S^7 ] R153.46 : Type {12,48}_16 Order 1536 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S * R^-2 * S ] R153.47 : Type {12,124}_186 Order 1488 mV = 62 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^31 * R^-3 * S^-3 * T * S * R^2 * S * R^-1 * T * S^26 ] R153.48 : Type {14,357}_102 Order 1428 mV = 357 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^-26 * R * S * R^-1 * S^-24 ] R153.49 : Type {16,24}_6 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-1 * R^5 * S^-1 * R * S * R^-1 * S ] R153.50 : Type {16,24}_6 Order 1536 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^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2)^4 ] R153.51 : Type {16,24}_6 Order 1536 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 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2 ] R153.52 : Type {16,24}_6 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^2 * R^-1 * S^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R153.53 : Type {16,24}_12 Order 1536 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^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ] R153.54 : Type {16,24}_12 Order 1536 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^2 * R^2 * S^2 * R^-1 * S^-1, R * S^-1 * R^5 * S^-1 * R * S * R^-1 * S, (R * S^-2)^4, (R * S^-5)^2 ] R153.55 : Type {16,24}_12 Order 1536 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 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^2 * R^-2 * S^-1, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ] R153.56 : Type {16,24}_12 Order 1536 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 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3, R * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2 ] R153.57 : Type {16,24}_12 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^2 * R^-1 * S^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R * S^-1 * R^2 * S^-1 * R^2 * S^-4 * R ] R153.58 : Type {16,24}_24 Order 1536 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^16, (R * S^-1 * R^6)^2, R^-2 * S^-6 * R^4 * S^-1 * R * S^5 * R^-1 ] R153.59 : Type {16,24}_48 Order 1536 mV = 3 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^24 ] R153.60 : Type {16,24}_48 Order 1536 mV = 3 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^24 ] R153.61 : Type {16,24}_48 Order 1536 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)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^4 * R * S^-2 * R^-2 * S^-2 * R * S^4 ] R153.62 : Type {16,24}_48 Order 1536 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)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S^5 * R * S^-1 * R^2 * S^-4 ] R153.63 : Type {16,24}_48 Order 1536 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, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-7 ] R153.64 : Type {16,24}_48 Order 1536 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, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, R * S^-2 * R^2 * S^-1 * R^-3 * S^-1 * R * S * R^-1 * S^-1, S * R * S^-5 * R * S^6 ] R153.65 : Type {16,24}_48 Order 1536 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^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-5 * R * S^6 ] R153.66 : Type {16,24}_48 Order 1536 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 * R^2 * S^2 * R^-1 * S^-1, R^16, S^-4 * R^-1 * S * R^5 * S^-4 * R * S * R^-1 * S^-2 ] R153.67 : Type {16,24}_48 Order 1536 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^16, S^24 ] R153.68 : Type {16,24}_48 Order 1536 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^24 ] R153.69 : Type {16,24}_48 Order 1536 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, R^16, S^-2 * R^-1 * S * R * S^-2 * R^5 * S^5 * R^-1 * S^-2 ] R153.70 : Type {16,24}_48 Order 1536 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R153.71 : Type {16,24}_48 Order 1536 mV = 6 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, S * R * S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^6 ] R153.72 : Type {16,24}_48 Order 1536 mV = 6 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^-2 * R^-1 * S * R^-1 * S^-6 ] R153.73 : Type {16,24}_48 Order 1536 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^4 * R * S^-2 * R^-2 * S^-2 * R * S^4, R^16 ] R153.74 : Type {16,24}_48 Order 1536 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, R^16, R^-1 * S * R * S^-4 * R^5 * S^5 * R^-1 * S^-2 ] R153.75 : Type {16,176}_44 Order 1408 mV = 88 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^22 * R * S^-1 * R * S^21 ] R153.76 : Type {16,176}_44 Order 1408 mV = 88 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^16, S^22 * R * S^-5 * R * S^17 ] R153.77 : Type {16,176}_88 Order 1408 mV = 88 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^16, S^22 * R * S^-1 * R * S^21 ] R153.78 : Type {16,176}_88 Order 1408 mV = 88 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^22 * R * S^-5 * R * S^17 ] R153.79 : Type {19,38}_38 Order 1444 mV = 19 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^-19 ] R153.80 : Type {20,36}_180 Order 1440 mV = 18 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^36 ] R153.81 : Type {20,340}_34 Order 1360 mV = 340 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^-1 * S, S^17 * R^-1 * S^-7 * R * S^10 ] R153.82 : Type {24,168}_28 Order 1344 mV = 84 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^14 * R * S^-1 * R * S^13 ] R153.83 : Type {24,168}_28 Order 1344 mV = 84 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^14 * R^4 * S^14 ] R153.84 : Type {28,84}_6 Order 1344 mV = 28 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, S^4 * R^-1 * S^2 * R^-1 * S^2 * R^-6 * S * R^-2 * S * R^-1 * S^3 * R^-1 * S^3 ] R153.85 : Type {28,84}_12 Order 1344 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-2 ] R153.86 : Type {28,84}_12 Order 1344 mV = 28 mF = 7 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, R^9 * S^-2 * R * S^-2, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R153.87 : Type {38,323}_34 Order 1292 mV = 323 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^8 * R^-2 * S^9 ] R153.88 : Type {42,42}_4 Order 1344 mV = 7 mF = 7 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^-27 * S^2 * R^-10 * S^2 * R^-1 ] R153.89 : Type {42,42}_8 Order 1344 mV = 7 mF = 7 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 * S^-24 * R * S^-1 * R^3 * S^-1 * R^8 * S^-1 * R * S^-1 ] R153.90 : Type {70,315}_18 Order 1260 mV = 315 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^7 * R^-26 * S^2 ] R153.91 : Type {80,80}_4 Order 1280 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^3 * R^-50 * S^2 * R^-5 * T * R * S^-2 * R^8 * S^-1 * T * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R153.92 : Type {80,80}_4 Order 1280 mV = 20 mF = 20 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^19 * S^-5 * R^8 * S^-1 * R^3 * S^-1 * R^2 * S^-1 ] R153.93 : Type {80,80}_8 Order 1280 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^5 * R^-1 * S * R^-3 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-3 * S * R^-7 ] R153.94 : Type {80,80}_8 Order 1280 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-2 * S^2 * R^-5 * S * R^-2 * S^8 * T * S^-1 * R^9 * S^-2 * T * R^-1 * S^3 * R^-1 * S * R^-2 ] R153.95 : Type {80,80}_8 Order 1280 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 * S^2, S * R^5 * S * R^-3, R^34 * S^-10 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-10 ] R153.96 : Type {80,80}_8 Order 1280 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^-3 * R * S^4, S^5 * R^-1 * S * R^-3 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-5 ] R153.97 : Type {80,80}_8 Order 1280 mV = 40 mF = 40 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^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, S^-2 * R^3 * S^-1 * R^6 * S^-1 * R^4 * S^-1 * R * S^-1 ] R153.98 : Type {80,80}_8 Order 1280 mV = 40 mF = 40 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^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, S^-1 * R^4 * S^-1 * R^6 * S^-1 * R^2 * S^-5 ] R153.99 : Type {104,312}_6 Order 1248 mV = 312 mF = 52 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^86 * S^-1 * R * S^-2 * R * S^-1 * R^12 ] R153.100 : Type {104,312}_12 Order 1248 mV = 312 mF = 52 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^-6 * R^31 * S^-1 * R * S^-1 * R^12 ] R153.101 : Type {156,156}_4 Order 1248 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^57 * R^-2 * S * R^-14 * S ] R153.102 : Type {156,156}_4 Order 1248 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^2, R * S^-1 * R^113 * S^-2 * R^13 * S^-24 * R * S^-1 ] R153.103 : Type {156,156}_4 Order 1248 mV = 78 mF = 78 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^141 * S^-1 * R * S^-1 * R^12 ] R153.104 : Type {206,309}_6 Order 1236 mV = 309 mF = 103 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^83 * S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 ] R153.105 : Type {307,614}_2 Order 1228 mV = 614 mF = 307 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^286 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R153.106 : Type {308,308}_2 Order 1232 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^-1 * S^287 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R153.107 : Type {612,612}_2 Order 1224 mV = 612 mF = 612 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^285 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 154 R154.1 : Type {4,8}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2, R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^3 * R^-1 * S^3 ] R154.2 : Type {4,8}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^4 * R^2 * S ] R154.3 : Type {4,55}_66 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-7 ] R154.4 : Type {4,310}_620 Order 2480 mV = 155 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^310 ] R154.5 : Type {4,616}_616 Order 2464 mV = 616 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^154 * R^2 * S^154 ] R154.6 : Type {6,20}_60 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, 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^20 ] R154.7 : Type {6,20}_60 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^20 ] R154.8 : Type {6,54}_54 Order 1944 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^54 ] R154.9 : Type {6,54}_54 Order 1944 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^54 ] R154.10 : Type {6,54}_54 Order 1944 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^9 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^5 ] R154.11 : Type {6,54}_54 Order 1944 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^2 * R * S^-7 * R^-1 * S * R^-1 * S^-3 * R * S * R^-1 * S^-2 * R * S^2 ] R154.12 : Type {6,54}_54 Order 1944 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^54 ] R154.13 : Type {6,54}_54 Order 1944 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^-4 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^-1 * S^-4 ] R154.14 : Type {6,54}_54 Order 1944 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^-7 * R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S^-8 ] R154.15 : Type {6,156}_156 Order 1872 mV = 52 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^156 ] R154.16 : Type {6,156}_156 Order 1872 mV = 78 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^26 * R * S^-1 * R * S^25 ] R154.17 : Type {6,156}_156 Order 1872 mV = 78 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^156 ] R154.18 : Type {6,462}_154 Order 1848 mV = 462 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^77 * R * S^-1 * R * S^76 ] R154.19 : Type {7,13}_6 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (S^-1 * R)^7 ] R154.20 : Type {7,13}_6 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R154.21 : Type {7,13}_26 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2 ] R154.22 : Type {10,385}_154 Order 1540 mV = 385 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-39 * R * S * R^-1 * S^-37 ] R154.23 : Type {12,16}_48 Order 1728 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^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S^-2 * R^6 * S^-6 ] R154.24 : Type {12,16}_48 Order 1728 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, R^12, (R * S^-1 * R^4)^2, S^-2 * R^6 * S^-6 ] R154.25 : Type {12,33}_66 Order 1584 mV = 11 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^-33 ] R154.26 : Type {12,186}_124 Order 1488 mV = 93 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^31 * R * S^-3 * R * S^28 ] R154.27 : Type {15,18}_30 Order 1620 mV = 3 mF = 5 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^-5 * R * S^6, R^-15 ] R154.28 : Type {15,120}_12 Order 1440 mV = 30 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^-3 * R * S^4, R^-15 ] R154.29 : Type {16,46}_368 Order 1472 mV = 23 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^46 ] R154.30 : Type {18,117}_78 Order 1404 mV = 39 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^-4 * R^7 * S^-4 * R, S^-20 * R * S^6 * R^-1 * S^-13 ] R154.31 : Type {24,30}_6 Order 1440 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S^4, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1 ] R154.32 : Type {24,30}_60 Order 1440 mV = 10 mF = 6 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^-7 * R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S^-5 ] R154.33 : Type {24,30}_120 Order 1440 mV = 5 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^30 ] R154.34 : Type {24,30}_120 Order 1440 mV = 15 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, (R * S^-1 * R^4)^2, S^4 * R * S^-1 * R * S^5, R^24 ] R154.35 : Type {24,30}_120 Order 1440 mV = 15 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^30 ] R154.36 : Type {30,330}_22 Order 1320 mV = 330 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^24 * S^-1 * R * S^-1 * R^3, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R154.37 : Type {42,48}_112 Order 1344 mV = 24 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^4)^2, R^-10 * S^-1 * R^3 * S^-1 * R^-1, S^8 * R * S^-1 * R * S^7 ] R154.38 : Type {46,322}_14 Order 1288 mV = 322 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, R^32 * S^-1 * R * S^-1 * R^11 ] R154.39 : Type {54,108}_12 Order 1296 mV = 36 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-2 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-34 ] R154.40 : Type {54,108}_12 Order 1296 mV = 54 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^7 * S * R^-5, R * S^-1 * R^5 * S^-11 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-10 ] R154.41 : Type {55,55}_6 Order 1320 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^4, R^-6 * S * R^-1 * S * R^-1 * S ] R154.42 : Type {58,319}_22 Order 1276 mV = 319 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^7 * R^-14 * S * R^-1 * S * R^-1 * S^4 ] R154.43 : Type {90,315}_14 Order 1260 mV = 315 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^5 * R^-4 * S * R^-1 * S * R^-31 * S^2 ] R154.44 : Type {105,210}_6 Order 1260 mV = 105 mF = 35 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^59 * S^-10 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-10 ] R154.45 : Type {156,312}_8 Order 1248 mV = 312 mF = 78 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^60 * S^-1 * R * S^-1 * R^11 * S^-1 ] R154.46 : Type {309,618}_2 Order 1236 mV = 618 mF = 309 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^288 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R154.47 : Type {310,310}_2 Order 1240 mV = 310 mF = 310 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^289 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R154.48 : Type {616,616}_2 Order 1232 mV = 616 mF = 616 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^287 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 155 R155.1 : Type {4,312}_312 Order 2496 mV = 156 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^78 * R * S^-1 * R * S^77 ] R155.2 : Type {4,312}_312 Order 2496 mV = 156 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^312 ] R155.3 : Type {4,620}_310 Order 2480 mV = 620 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^155 * R^2 * S^155 ] R155.4 : Type {5,22}_10 Order 2420 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (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^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S^4 * R * S^-1 * R^2 * S^-1 * R * S^4 ] R155.5 : Type {5,22}_10 Order 2420 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (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 ] R155.6 : Type {6,10}_4 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, 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^-1 * S)^3 ] R155.7 : Type {6,10}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-2 * R^2 * S^-1 ] R155.8 : Type {6,10}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R155.9 : Type {6,10}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S * R * S^-3 * R * S^-1 * R * S^-1 * R * S^-4 ] R155.10 : Type {6,10}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-2 ] R155.11 : Type {6,10}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R ] R155.12 : Type {6,465}_310 Order 1860 mV = 465 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-78 * R * S * R^-1 * S^-76 ] R155.13 : Type {8,54}_54 Order 1728 mV = 9 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^54 ] R155.14 : Type {8,54}_108 Order 1728 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^54 ] R155.15 : Type {8,208}_208 Order 1664 mV = 104 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^52 * R * S^-1 * R * S^51 ] R155.16 : Type {8,208}_208 Order 1664 mV = 104 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^52 * R^4 * S^2 * T * S^-3 * T * S^47 ] R155.17 : Type {12,64}_192 Order 1536 mV = 32 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 * R * S^-1 * R * S^15 ] R155.18 : Type {12,64}_192 Order 1536 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^64 ] R155.19 : Type {12,372}_62 Order 1488 mV = 372 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^31 * R^2 * S^31 ] R155.20 : Type {22,33}_66 Order 1452 mV = 3 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^-1 * S, S^-33 ] R155.21 : Type {22,341}_62 Order 1364 mV = 341 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^-1 * S, S^-16 * R^2 * S^-15 ] R155.22 : Type {28,168}_24 Order 1344 mV = 84 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-2 ] R155.23 : Type {28,168}_24 Order 1344 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, R^-1 * S * R^-1 * S * R^-24, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R155.24 : Type {42,56}_6 Order 1344 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^3 * S^2 * R^-2, S * R * S^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^7 * S^-3 * R * S^-2 ] R155.25 : Type {42,56}_12 Order 1344 mV = 14 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^-3 * R * S^4, S^-1 * R^7 * S^-3 * R * S^-2 ] R155.26 : Type {64,320}_10 Order 1280 mV = 320 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^-4 * R * S^5, S^19 * R^-8 * S * R^-1 * S * R^-33 * S ] R155.27 : Type {64,320}_20 Order 1280 mV = 320 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^-2 * R^-1 * S^9 * R^-1 * S^-9, S^-6 * R^18 * S^-1 * R * S^-1 * R * S^-4 ] R155.28 : Type {126,315}_10 Order 1260 mV = 315 mF = 63 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^14 * R^-12 * S * R^-1 * S * R^-33 * S ] R155.29 : Type {311,622}_2 Order 1244 mV = 622 mF = 311 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^290 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R155.30 : Type {312,312}_2 Order 1248 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^-1 * S^291 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R155.31 : Type {312,312}_4 Order 1248 mV = 312 mF = 312 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^140 * S^-1 * R * S^-1 * R^11 * S^-1 ] R155.32 : Type {620,620}_2 Order 1240 mV = 620 mF = 620 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^289 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 156 R156.1 : Type {4,159}_318 Order 2544 mV = 53 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-159 ] R156.2 : Type {4,314}_628 Order 2512 mV = 157 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^314 ] R156.3 : Type {4,624}_624 Order 2496 mV = 624 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^156 * R^2 * S^156 ] R156.4 : Type {6,158}_474 Order 1896 mV = 79 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^158 ] R156.5 : Type {8,106}_424 Order 1696 mV = 53 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^106 ] R156.6 : Type {10,18}_18 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^18 ] R156.7 : Type {10,18}_18 Order 1800 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ] R156.8 : Type {10,80}_80 Order 1600 mV = 16 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^80 ] R156.9 : Type {10,80}_80 Order 1600 mV = 40 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^2 * R * S^-7 * R * S^7 ] R156.10 : Type {10,80}_80 Order 1600 mV = 40 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^80 ] R156.11 : Type {10,390}_78 Order 1560 mV = 390 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^39 * R * S^-3 * R * S^36 ] R156.12 : Type {14,54}_378 Order 1512 mV = 27 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^54 ] R156.13 : Type {14,364}_52 Order 1456 mV = 364 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^26 * R * S^-4 * R * S^22 ] R156.14 : Type {16,20}_16 Order 1600 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)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^16, S * R^-1 * S^-1 * R * S^-2 * R^6 * S^6 ] R156.15 : Type {26,28}_364 Order 1456 mV = 14 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^28 ] R156.16 : Type {28,336}_48 Order 1344 mV = 336 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 * R^-1 * S * R^-24, S^12 * R * S^-4 * R * S^8 ] R156.17 : Type {50,325}_26 Order 1300 mV = 325 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^10 * S^-4 * R^2 * S^-3 ] R156.18 : Type {65,130}_10 Order 1300 mV = 65 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^6 * S * R^-4, R^22 * S^-7 * R^5 * S^-1 * R^12 * S^-3 * R^5 * S^-9 * R ] R156.19 : Type {106,318}_6 Order 1272 mV = 318 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 * R^-1 * S^55 * R^-12 * S * R^-1 * S^2 * R^-1 * S * R^-31 ] R156.20 : Type {158,316}_4 Order 1264 mV = 316 mF = 79 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^143 * S^-1 * R * S^-1 * R^12 ] R156.21 : Type {159,159}_4 Order 1272 mV = 53 mF = 53 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^26 * R^-13 * S^2 * R^-116 ] R156.22 : Type {313,626}_2 Order 1252 mV = 626 mF = 313 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^292 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] R156.23 : Type {314,314}_2 Order 1256 mV = 314 mF = 314 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^293 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-1 * S ] R156.24 : Type {624,624}_2 Order 1248 mV = 624 mF = 624 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^291 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 157 R157.1 : Type {3,84}_16 Order 4032 mV = 12 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] R157.2 : Type {4,30}_12 Order 2880 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-3 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S ] R157.3 : Type {4,56}_16 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-1 * S * R * S^-5 * R^2 * S^5 * R^-1 * S^-2 ] R157.4 : Type {4,56}_16 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, S^2 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R157.5 : Type {4,160}_160 Order 2560 mV = 40 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^160 ] R157.6 : Type {4,160}_160 Order 2560 mV = 40 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^40 * R^2 * S * R^-1 * S^-1 * R * S^38 ] R157.7 : Type {4,316}_316 Order 2528 mV = 158 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^316 ] R157.8 : Type {4,628}_314 Order 2512 mV = 628 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^157 * R^2 * S^157 ] R157.9 : Type {5,12}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-2 * S^2 * R * S^-1 * R^2 * S^-2 * R * S^3 ] R157.10 : Type {6,42}_8 Order 2016 mV = 6 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, S^6 * R * S^-6 * R * S^2, S^2 * R * S^-3 * R * S^-2 * R * S * R^-1 * S^-3 * R * S^2 ] R157.11 : Type {6,42}_84 Order 2016 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-5 * R^2 * S^-1 * R^2 * S^-8 ] R157.12 : Type {6,42}_84 Order 2016 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^42 ] R157.13 : Type {6,120}_20 Order 1920 mV = 40 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^10 * R * S^-1 * R^2 * S^-1 * R * S^8 ] R157.14 : Type {6,120}_40 Order 1920 mV = 40 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^20 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^14 ] R157.15 : Type {6,159}_318 Order 1908 mV = 53 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-159 ] R157.16 : Type {6,471}_314 Order 1884 mV = 471 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-79 * R^2 * S^-78 ] R157.17 : Type {8,20}_6 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-1)^6, S * R * S^-4 * R * S^5 ] R157.18 : Type {8,20}_12 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R157.19 : Type {8,20}_12 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-4 * R^4 * S^-6, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R157.20 : Type {8,20}_12 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, (R * S^-1)^6, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S ] R157.21 : Type {8,20}_12 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, (R * S^-1)^6, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^3 * R^-2 * S ] R157.22 : Type {8,20}_24 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R157.23 : Type {9,10}_90 Order 2160 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S^-5 * R * S^-1 * R * S^5 * R^-1 * S ] R157.24 : Type {9,36}_12 Order 1728 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^4 * R^2 * S^-1 * R^-1 * S^7 ] R157.25 : Type {10,35}_42 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R * S^-2 * R^-4 * S^-2 * R * S^3 ] R157.26 : Type {12,18}_36 Order 1728 mV = 3 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^18 ] R157.27 : Type {12,18}_36 Order 1728 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, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^18 ] R157.28 : Type {12,18}_36 Order 1728 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^18 ] R157.29 : Type {12,18}_72 Order 1728 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^18 ] R157.30 : Type {12,96}_32 Order 1536 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^16 * R * S^-3 * R * S^13 ] R157.31 : Type {12,96}_32 Order 1536 mV = 24 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^2 * R * S^-6 * R^2 * S^-6 * R * S^2 ] R157.32 : Type {12,96}_32 Order 1536 mV = 32 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^7 * R * S^-1 * R^-2 * S^-4 * R * S^4 ] R157.33 : Type {12,96}_32 Order 1536 mV = 32 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^7 * R * S^-1 * R^-2 * S^-1 * R * S^7 ] R157.34 : Type {18,90}_20 Order 1440 mV = 30 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-1 * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-2, R^2 * S^-1 * T * S * R^-1 * S^2 * R^-4 * S^3 * R^-1 * T * S^-3 ] R157.35 : Type {20,60}_4 Order 1440 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^2 * R^-10 * S * R^-1 * S * R^-2 * S^2 ] R157.36 : Type {30,30}_6 Order 1440 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, R * S^-2 * R^4 * S^2 * R^-1 * S^-2, (R * S^-1 * R * S^-1 * R^2)^2 ] R157.37 : Type {30,30}_12 Order 1440 mV = 5 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-2 * S^6 * R^-13 * S^2 * R^-3 * S^4 ] R157.38 : Type {42,84}_4 Order 1344 mV = 28 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^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R * S^-1 * R^2 * S^-5 * R * S^-1 * R * S^-3 * R^8 * S^-4 * R * S^-1 * R^10 * S^-3 ] R157.39 : Type {42,84}_8 Order 1344 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^24 * R^-18 ] R157.40 : Type {81,162}_4 Order 1296 mV = 54 mF = 27 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^60 * R^-2 * S * R^-14 * S ] R157.41 : Type {108,108}_6 Order 1296 mV = 54 mF = 36 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^59 * S^-11 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-10 ] R157.42 : Type {160,160}_4 Order 1280 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^111 * R^-12 * S * R^-1 * S * R^-33 * S ] R157.43 : Type {160,160}_4 Order 1280 mV = 80 mF = 80 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^-50 * S^2 * R^-5 * T * R * S^-2 * R^8 * S^-1 * T * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 ] R157.44 : Type {160,160}_8 Order 1280 mV = 80 mF = 80 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^32 * S^-10 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-9 * R ] R157.45 : Type {315,630}_2 Order 1260 mV = 630 mF = 315 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^294 * T * R^3 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-4 ] R157.46 : Type {316,316}_2 Order 1264 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^-1 * S^295 * T * R^3 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-3 * S ] R157.47 : Type {628,628}_2 Order 1256 mV = 628 mF = 628 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^293 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-1 * S * R^-2 ] Genus 158 R158.1 : Type {4,318}_636 Order 2544 mV = 159 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^318 ] R158.2 : Type {4,632}_632 Order 2528 mV = 632 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^158 * R^2 * S^158 ] R158.3 : Type {6,160}_480 Order 1920 mV = 80 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^160 ] R158.4 : Type {6,474}_158 Order 1896 mV = 474 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^79 * R^2 * S^79 ] R158.5 : Type {8,212}_424 Order 1696 mV = 106 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^53 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^48 ] R158.6 : Type {10,395}_158 Order 1580 mV = 395 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-40 * R * S^2 * R^-1 * S^-37 ] R158.7 : Type {12,128}_384 Order 1536 mV = 64 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 * R^-3 * S^-3 * T * S * R^2 * S * R^-1 * T * S^27 ] R158.8 : Type {16,92}_368 Order 1472 mV = 46 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^23 * R^-2 * S^6 * R^-5 * S^-1 * R * S^16 ] R158.9 : Type {20,72}_360 Order 1440 mV = 36 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^18 * R^-2 * S^6 * R^-5 * S^-1 * R * S * R^-1 * S^-1 * R * S^9 ] R158.10 : Type {32,44}_352 Order 1408 mV = 22 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^5 * R^3 * S^-6 * R^10 * S^-3 * T * S^2 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R158.11 : Type {42,112}_48 Order 1344 mV = 56 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^9 * S^-1 * R^3 * S^-1, S * R^-1 * S^-1 * R * S^3 * T * S^-1 * R^-1 * S^3 * R^-2 * S^2 * T * R * S^5 ] R158.12 : Type {48,84}_112 Order 1344 mV = 42 mF = 24 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, R^-1 * S^-1 * R * T * S * R^13 * T * R^-1, S^7 * R^8 * S^7 ] R158.13 : Type {66,110}_30 Order 1320 mV = 55 mF = 33 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^7 * S * R^-5, S^-3 * R^2 * S^-1 * R^-3 * S^4 * R^-1 * S^-2, R^2 * S^-1 * R^5 * S^-1 * R^10 * S^-1 * R * S^-1 ] R158.14 : Type {317,634}_2 Order 1268 mV = 634 mF = 317 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^296 * T * R^3 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-4 ] R158.15 : Type {318,318}_2 Order 1272 mV = 318 mF = 318 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^297 * T * R^3 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-3 * S ] R158.16 : Type {632,632}_2 Order 1264 mV = 632 mF = 632 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^295 * T * R^3 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-4 ] Genus 159 R159.1 : Type {4,162}_162 Order 2592 mV = 54 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^162 ] R159.2 : Type {4,320}_320 Order 2560 mV = 160 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^80 * R * S^-1 * R * S^79 ] R159.3 : Type {4,320}_320 Order 2560 mV = 160 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^320 ] R159.4 : Type {4,636}_318 Order 2544 mV = 636 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^159 * R^2 * S^159 ] R159.5 : Type {8,108}_54 Order 1728 mV = 36 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^27 * R * S^-1 * R * S * R^-1 * S^-5 * R * S^20 ] R159.6 : Type {8,108}_108 Order 1728 mV = 36 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^27 * R * S^-2 * R * S^25 ] R159.7 : Type {8,108}_216 Order 1728 mV = 27 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^108 ] R159.8 : Type {8,108}_216 Order 1728 mV = 54 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^108 ] R159.9 : Type {8,424}_106 Order 1696 mV = 424 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^53 * R^2 * S^53 ] R159.10 : Type {8,424}_212 Order 1696 mV = 424 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^53 * R * S^-2 * R * S^51 ] R159.11 : Type {12,192}_64 Order 1536 mV = 96 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^16 * R^3 * S^-2 * R * S^14 ] R159.12 : Type {12,192}_64 Order 1536 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^32 * R * S^-1 * R * S^31 ] R159.13 : Type {14,371}_106 Order 1484 mV = 371 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^-27 * R * S^2 * R^-1 * S^-24 ] R159.14 : Type {20,90}_18 Order 1440 mV = 30 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, S^9 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^3 ] R159.15 : Type {48,112}_42 Order 1344 mV = 56 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^4 * S^4 * R^-1 * S^-3 ] R159.16 : Type {48,112}_84 Order 1344 mV = 56 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^3 * R * S^-1 * R^-1 * S^3 * R^4 * S^7 ] R159.17 : Type {56,84}_6 Order 1344 mV = 28 mF = 14 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^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^9 * S^-2 * R * S^-2 ] R159.18 : Type {56,84}_12 Order 1344 mV = 28 mF = 14 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, R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-1 ] R159.19 : Type {56,84}_24 Order 1344 mV = 21 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^7 * R^-16 * S^5 ] R159.20 : Type {56,84}_24 Order 1344 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, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-2 * S^3 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-1 * S ] R159.21 : Type {162,162}_4 Order 1296 mV = 54 mF = 54 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^116 * S^-2 * R^13 * S^-27 * R * S^-1 ] R159.22 : Type {214,321}_6 Order 1284 mV = 321 mF = 107 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^57 * R^-12 * S * R^-1 * S^2 * R^-1 * S * R^-31 ] R159.23 : Type {319,638}_2 Order 1276 mV = 638 mF = 319 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^298 * T * R^3 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-4 ] R159.24 : Type {320,320}_2 Order 1280 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, R^-1 * S^299 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R159.25 : Type {320,320}_4 Order 1280 mV = 320 mF = 320 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^110 * R^-12 * S * R^-1 * S * R^-34 ] R159.26 : Type {636,636}_2 Order 1272 mV = 636 mF = 636 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^297 * T * R^3 * T * S * R^-1 * T * S^-1 * R^10 * T * R^-4 ] Genus 160 R160.1 : Type {4,322}_644 Order 2576 mV = 161 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^322 ] R160.2 : Type {4,640}_640 Order 2560 mV = 640 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^160 * R^2 * S^160 ] R160.3 : Type {6,56}_56 Order 2016 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^56 ] R160.4 : Type {6,162}_162 Order 1944 mV = 54 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^162 ] R160.5 : Type {6,162}_162 Order 1944 mV = 81 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^162 ] R160.6 : Type {6,480}_160 Order 1920 mV = 480 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^80 * R * S^-1 * R * S^79 ] R160.7 : Type {10,82}_410 Order 1640 mV = 41 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^82 ] R160.8 : Type {12,66}_132 Order 1584 mV = 11 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^66 ] R160.9 : Type {12,66}_132 Order 1584 mV = 33 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^11 * R * S^-1 * R * S^10 ] R160.10 : Type {12,66}_132 Order 1584 mV = 33 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^66 ] R160.11 : Type {12,384}_128 Order 1536 mV = 384 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^32 * R * S^-4 * R * S^28 ] R160.12 : Type {18,42}_126 Order 1512 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^2 * S^2 * R^-1, (R * S^-1 * R^4)^2, S^-3 * R^-1 * S^4 * R * S^-7, R^18 ] R160.13 : Type {18,42}_126 Order 1512 mV = 21 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^42 ] R160.14 : Type {18,360}_40 Order 1440 mV = 360 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^-4 * R^7 * S^-4 * R, S^20 * R * S^-1 * R * S^19 ] R160.15 : Type {22,34}_374 Order 1496 mV = 17 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^34 ] R160.16 : Type {22,352}_32 Order 1408 mV = 352 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^-1 * S, S^16 * R * S^-4 * R * S^12 ] R160.17 : Type {24,60}_120 Order 1440 mV = 10 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^15 * R^2 * S * R^-1 * S^-5 * R * S^9 ] R160.18 : Type {24,60}_120 Order 1440 mV = 30 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, (R * S^-1 * R^4)^2, R^-1 * S^5 * R^9 * S^-2 * R * S * R^-1 * S^-2 ] R160.19 : Type {24,60}_120 Order 1440 mV = 30 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^15 * R^-2 * S^6 * R^-5 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^4 ] R160.20 : Type {30,40}_8 Order 1440 mV = 10 mF = 5 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, S * R * S^-3 * R * S^4 ] R160.21 : Type {34,340}_20 Order 1360 mV = 340 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^5 * S^-3 * R * S^-3 * R^15 * S^-1 * R * S^-1 * R^4, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R160.22 : Type {42,336}_16 Order 1344 mV = 336 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^31 * S^-1 * R * S^-1 * R^8 ] R160.23 : Type {66,330}_10 Order 1320 mV = 330 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^19 * R^-10 * S * R^-1 * S * R^-33 * S ] R160.24 : Type {82,328}_8 Order 1312 mV = 328 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^-3 * R * S^4, R^-1 * S^32 * R^-12 * S * R^-1 * S * R^-34 ] R160.25 : Type {162,324}_4 Order 1296 mV = 324 mF = 81 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^112 * R^-12 * S * R^-1 * S * R^-34 ] R160.26 : Type {321,642}_2 Order 1284 mV = 642 mF = 321 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^300 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R160.27 : Type {322,322}_2 Order 1288 mV = 322 mF = 322 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^301 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R160.28 : Type {640,640}_2 Order 1280 mV = 640 mF = 640 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^299 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 161 R161.1 : Type {3,16}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^16, S^-3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1 ] R161.2 : Type {3,16}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^4, S^16, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1 ] R161.3 : Type {3,16}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-7)^2, 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 ] R161.4 : Type {4,6}_10 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, 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, S^2 * R * S^-1 * R * S^-1 * R^-2 * S^-3 * R^2 * S^-1 * R * S^3 * R^2 * S * R^-1 ] R161.5 : Type {4,9}_18 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^-1 ] R161.6 : Type {4,9}_36 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R161.7 : Type {4,9}_36 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2 ] R161.8 : Type {4,12}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^12, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S, S^2 * R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^2 ] R161.9 : Type {4,12}_20 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^12, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1 ] R161.10 : Type {4,12}_40 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^12, S * R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^3 ] R161.11 : Type {4,12}_40 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^12, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R161.12 : Type {4,14}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-6)^2, S^14 ] R161.13 : Type {4,14}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1 ] R161.14 : Type {4,14}_28 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1 ] R161.15 : Type {4,14}_28 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-6)^2, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 ] R161.16 : Type {4,20}_8 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, S^-9 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-7 ] R161.17 : Type {4,24}_6 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-5 * R * S^6 ] R161.18 : Type {4,24}_6 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 ] R161.19 : Type {4,24}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^6 ] R161.20 : Type {4,24}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^2 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^6 ] R161.21 : Type {4,24}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, S^2 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^6 ] R161.22 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S * R * S^-1 * R^2 * S^3 * R^-1 * S^-1 * R * S, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] R161.23 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^3 * R^-1 * S * R * S^-1 * R^2 * S^3 * R^-1 * S^-1 * R * S ] R161.24 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R^2 * S^-2 * R * S^-3 ] R161.25 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S * R * S^-5 * R * S^6 ] R161.26 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S, S * R * S^-5 * R * S^6 ] R161.27 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R161.28 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R161.29 : Type {4,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-5)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R161.30 : Type {4,24}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S ] R161.31 : Type {4,24}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R161.32 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^24 ] R161.33 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^24 ] R161.34 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^24 ] R161.35 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, S^5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S ] R161.36 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R161.37 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^5 * R^-1 * S^-2 ] R161.38 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R161.39 : Type {4,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^24 ] R161.40 : Type {4,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^24 ] R161.41 : Type {4,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^24 ] R161.42 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-6 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R161.43 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^24 ] R161.44 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^24 ] R161.45 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, 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^-4 * R^-2 * S^-2 * R * S * R^-1 * S^-1 * R * S^2 ] R161.46 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S, S * R * S^-5 * R * S^6 ] R161.47 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S * R * S^-5 * R * S^6 ] R161.48 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^24 ] R161.49 : Type {4,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-3 * R^-1 * S^2 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] R161.50 : Type {4,24}_48 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^24 ] R161.51 : Type {4,24}_48 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^24 ] R161.52 : Type {4,24}_48 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^24 ] R161.53 : Type {4,24}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^24 ] R161.54 : Type {4,24}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^2 ] R161.55 : Type {4,44}_88 Order 2816 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^44 ] R161.56 : Type {4,84}_84 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^84 ] R161.57 : Type {4,84}_168 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^21 * R^2 * S^2 * R^-1 * S^-1 * R * S^18 ] R161.58 : Type {4,84}_168 Order 2688 mV = 21 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^84 ] R161.59 : Type {4,164}_164 Order 2624 mV = 41 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^164 ] R161.60 : Type {4,324}_324 Order 2592 mV = 162 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^324 ] R161.61 : Type {4,644}_322 Order 2576 mV = 644 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^161 * R^2 * S^161 ] R161.62 : Type {5,10}_40 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-2 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S ] R161.63 : Type {5,30}_8 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R161.64 : Type {6,6}_6 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^2 * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S ] R161.65 : Type {6,8}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (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^-4 * R^3 * S^4 * R^-2, (R * S^-1 * R)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R161.66 : Type {6,8}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R161.67 : Type {6,8}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R161.68 : Type {6,8}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, S * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S ] R161.69 : Type {6,8}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^3 * S^4 * R^-2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R161.70 : Type {6,8}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, (S^-1 * R^2 * S^-1)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-2 * S^-1 ] R161.71 : Type {6,8}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1 ] R161.72 : Type {6,8}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-2 * S ] R161.73 : Type {6,8}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S ] R161.74 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, (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, R * S^-4 * R * S^-1 * R * S^4 * R * S^-1 ] R161.75 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, (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, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S ] R161.76 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, (R * S^-1 * R)^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 ] R161.77 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (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^-4 * R^3 * S^4 * R^-2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] R161.78 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (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^-4 * R^3 * S^4 * R^-2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 ] R161.79 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^3 * S^4 * R^-2, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, R * S^2 * R * S^-2 * R^-2 * S * R^-2 * S * R^-2 * S^-2 ] R161.80 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, R * S^-2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S^-1 ] R161.81 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, (S^-1 * R^2 * S^-1)^3, R * S^-2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S^-1 ] R161.82 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^3 * S^4 * R^-2, (S^-1 * R^2 * S^-1)^3 ] R161.83 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-2 * S^-1 ] R161.84 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1 ] R161.85 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^2 * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-2 ] R161.86 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^3 * S^4 * R^-2, (R * S^-1 * R)^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1 ] R161.87 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (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^-4 * R^3 * S^4 * R^-2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^2 * R^2 * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R^2 * S * R^-2 ] R161.88 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S ] R161.89 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R * S^-2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S^-1 ] R161.90 : Type {6,8}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^-3 * R * S^-1 ] R161.91 : Type {6,8}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R161.92 : Type {6,8}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S ] R161.93 : Type {6,8}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R)^4, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, S^2 * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-2 ] R161.94 : Type {6,8}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, S^2 * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-2 ] R161.95 : Type {6,8}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S ] R161.96 : Type {6,8}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1 * R)^4 ] R161.97 : Type {6,8}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^2 * S^4 * R^-1, (R * S^-1 * R)^4 ] R161.98 : Type {6,8}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^3 * S^4 * R^-2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R161.99 : Type {6,8}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R^-1 * S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-1 ] R161.100 : Type {6,8}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, R^-2 * S * R * S^-1 * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^2 ] R161.101 : Type {6,8}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R161.102 : Type {6,8}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R)^4, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, R * S^-1 * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R161.103 : Type {6,8}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, R * S^-1 * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R161.104 : Type {6,8}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1 ] R161.105 : Type {6,8}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^-2 * S * R * S^-1 * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^2 ] R161.106 : Type {6,11}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R161.107 : Type {6,11}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R161.108 : Type {6,33}_88 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-4 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R161.109 : Type {6,123}_164 Order 1968 mV = 41 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-21 * R^2 * S^-1 * R^2 * S^-19 ] R161.110 : Type {6,483}_322 Order 1932 mV = 483 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-81 * R * S * R^-1 * S^-79 ] R161.111 : Type {8,16}_4 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R161.112 : Type {8,16}_4 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^16 ] R161.113 : Type {8,16}_4 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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)^8 ] R161.114 : Type {8,16}_4 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^5, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R161.115 : Type {8,16}_4 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1 ] R161.116 : Type {8,16}_4 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1 ] R161.117 : Type {8,16}_4 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R161.118 : Type {8,16}_4 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R161.119 : Type {8,16}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R161.120 : Type {8,16}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R161.121 : Type {8,16}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^-1 * S * R * S^-1 * R^2 * S^5 ] R161.122 : Type {8,16}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-2 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ] R161.123 : Type {8,16}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R161.124 : Type {8,16}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^5 * R^-1 * S * R^2 * S^-4 * R * S * R^-1 * S ] R161.125 : Type {8,16}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^16 ] R161.126 : Type {8,16}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-2 * S^3 * R^-1 * S * R^2 * S^-5 * R * S^-1 ] R161.127 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R * S^-3 * R^2 * S^-3 * R * S, R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-2 ] R161.128 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-3 * R^2 * S^-3 * R * S ] R161.129 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^2 * S^-3 * R * S ] R161.130 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-3 * R^2 * S^-3 * R * S ] R161.131 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^3 * S^-1 * R^3 * S^6 ] R161.132 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^3 * S^-1 * R^3 * S^6 ] R161.133 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^3 * S * R^-1 * S^-1 * R * S^-1 ] R161.134 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R161.135 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^-3 * R * S, S * R * S^-1 * R * S^-1 * R^3 * S^5 * R^-1 ] R161.136 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R^2 * S^-2 * R^2 * S^5 ] R161.137 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, (R * S^-1)^8 ] R161.138 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-3 * R^2 * S^4 * R^-1 ] R161.139 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R161.140 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R161.141 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R161.142 : Type {8,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R161.143 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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)^8 ] R161.144 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-4 ] R161.145 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, (R * S^-1)^8 ] R161.146 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R161.147 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-1 * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R161.148 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^-1 * R * S^-1 * R * S^-2 * R^2 * S^3 * R^-2 * S^-1 ] R161.149 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, (R * S^-2)^4, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R161.150 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-3 * R^4 * S^-5, (R * S^-2)^4, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R161.151 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ] R161.152 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ] R161.153 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-4 * R^3 * S^3 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R161.154 : Type {8,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R161.155 : Type {8,16}_8 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-2 ] R161.156 : Type {8,16}_8 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^3 * S^-1 * R^3 * S^6, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^2 ] R161.157 : Type {8,16}_8 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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, R * S^-1 * R^-1 * S * R^3 * S^-1 * R^-2 * S^-5 * R ] R161.158 : Type {8,16}_8 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-3 * R * S^4, R * S^-3 * R^-3 * S^-1 * R * S * R^-3 * S^-1 ] R161.159 : Type {8,16}_8 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, R * S^-3 * R^-3 * S^-1 * R * S * R^-3 * S^-1 ] R161.160 : Type {8,16}_8 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * R^-1, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R161.161 : Type {8,16}_8 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R161.162 : Type {8,16}_8 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R161.163 : Type {8,16}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R * S^-4 * R * S^-3 ] R161.164 : Type {8,16}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, (R * S^-4 * R)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R161.165 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, 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 ] R161.166 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^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 ] R161.167 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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, S * R * S^-3 * R^2 * S^-3 * R * S ] R161.168 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^16 ] R161.169 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-3 ] R161.170 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R * S^-3 * R^2 * S^-3 * R * S ] R161.171 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.172 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^-3 * R * S ] R161.173 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^3 * S^-1 * R^3 * S^6 ] R161.174 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, 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 ] R161.175 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, 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 ] R161.176 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^3 * S^-1 * R^3 * S^6 ] R161.177 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-3 ] R161.178 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^16 ] R161.179 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-3 ] R161.180 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R161.181 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^3 * S^-1 * R^3 * S^6 ] R161.182 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^3 * S^-1 * R^3 * S^6 ] R161.183 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-4 * R)^2, S * R^3 * S^-1 * R^3 * S^6 ] R161.184 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S * R^3 * S^-1 * R^3 * S^6 ] R161.185 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.186 : Type {8,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-4 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.187 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R161.188 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^-3 * R * S ] R161.189 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^16 ] R161.190 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R161.191 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^16 ] R161.192 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R161.193 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^16 ] R161.194 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^16 ] R161.195 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^16 ] R161.196 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^16 ] R161.197 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, S^16 ] R161.198 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^16 ] R161.199 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^16 ] R161.200 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^16 ] R161.201 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R161.202 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1 ] R161.203 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, (R * S^-1)^8 ] R161.204 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4 * R)^2, S^-1 * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R161.205 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 ] R161.206 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1 ] R161.207 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4 * R)^2 ] R161.208 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S * R^-1 * S * R^-2 * S^3 * R^-2 * S^-1 ] R161.209 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4 * R)^2, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R161.210 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R161.211 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R161.212 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-4 * R^3 * S^3 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R161.213 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-4 * R^3 * S^3 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R161.214 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R161.215 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R161.216 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 ] R161.217 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4 * R)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-4 ] R161.218 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, (R * S^-4 * R)^2, (R * S^-1)^8 ] R161.219 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1 ] R161.220 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S, S^2 * R^2 * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 ] R161.221 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R161.222 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^-3 * R * S ] R161.223 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4 * R)^2 ] R161.224 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R161.225 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.226 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R161.227 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S * R^-1 * S * R^-2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R161.228 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R161.229 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.230 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R161.231 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R161.232 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R161.233 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^-1 * S^2 * R^2 * S^-2 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 ] R161.234 : Type {8,16}_16 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-4 * R^3 * S^3 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R161.235 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^3 * S^-1 * R^3 * S^6, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R ] R161.236 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R161.237 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R161.238 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R161.239 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R * S^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R161.240 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-3 * R * S^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R161.241 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^16 ] R161.242 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^16 ] R161.243 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R^-1 * S * R^3 * S^-1 * R^-2 * S^-5 * R ] R161.244 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-2 ] R161.245 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.246 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R * S^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R * S^-3 * R^-3 * S^-1 * R * S * R^-3 * S^-1 ] R161.247 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R * S^-3 * R^-3 * S^-1 * R * S * R^-3 * S^-1 ] R161.248 : Type {8,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R161.249 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^16 ] R161.250 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R161.251 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^2 * S^-2 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^16 ] R161.252 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, (R * S^-1)^8 ] R161.253 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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^-2 ] R161.254 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R161.255 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4, (R * S^-1)^8 ] R161.256 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R161.257 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^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 ] R161.258 : Type {8,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R161.259 : Type {8,24}_10 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.260 : Type {8,24}_20 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R161.261 : Type {8,24}_40 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3 * R * S^-1)^2, (R * S^-5)^2, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, R^-1 * S * R * S^-3 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] R161.262 : Type {8,24}_40 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3 * R * S^-1)^2, (R * S^-5)^2, R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-4 ] R161.263 : Type {8,56}_28 Order 1792 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^14 * R^2 * S^2 * R^-1 * S^-3 * R * S^9 ] R161.264 : Type {8,56}_28 Order 1792 mV = 14 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^14 * R * S^-2 * R^2 * S^-2 * R * S^10 ] R161.265 : Type {8,56}_28 Order 1792 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, 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^14 * R * S^-2 * R^2 * S^-2 * R * S^10 ] R161.266 : Type {8,56}_56 Order 1792 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^14 * R^2 * S^2 * R^-2 * S^12 ] R161.267 : Type {8,56}_56 Order 1792 mV = 14 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^14 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^9 ] R161.268 : Type {8,56}_56 Order 1792 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^56 ] R161.269 : Type {8,56}_56 Order 1792 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, 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^56 ] R161.270 : Type {8,56}_56 Order 1792 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, 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^14 * R^2 * S^2 * R^-1 * S^-3 * R * S^9 ] R161.271 : Type {8,56}_56 Order 1792 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, 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^14 * R^-3 * S^-7 * R * S^7 ] R161.272 : Type {8,56}_56 Order 1792 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^14 * R^-3 * S^-7 * R * S^7 ] R161.273 : Type {8,216}_108 Order 1728 mV = 108 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^54 * R * S^-1 * R * S^53 ] R161.274 : Type {8,216}_108 Order 1728 mV = 108 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^54 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^49 ] R161.275 : Type {9,9}_4 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^9, S^9, 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^4 * S * R^-2 * S^2 * R^-1 ] R161.276 : Type {9,9}_8 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^9, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-1 * R^-4 * S * R^-2 * S * R^-1 * S ] R161.277 : Type {9,9}_8 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^9, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (S * R^-1 * S)^3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R161.278 : Type {9,14}_6 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4 * R)^2 ] R161.279 : Type {9,14}_14 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-2 * R^-1 * S^5, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] R161.280 : Type {9,14}_14 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^-1 * S * R^-3 * S * R^-1 * S^3 ] R161.281 : Type {10,15}_24 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2, S * R * S^-1 * R^-4 * S^-1 * R * S * R^-1 * S * R^-1 ] R161.282 : Type {12,12}_6 Order 1920 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-3 * R^4 * S^2 * R^-2 * S^-1 ] R161.283 : Type {12,12}_12 Order 1920 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, (R * S^-1 * R^4)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R161.284 : Type {12,12}_12 Order 1920 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ] R161.285 : Type {12,12}_12 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-2 * R^2 * S^4, R^12, (R * S^-1 * R^4)^2 ] R161.286 : Type {14,14}_4 Order 1792 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^14, S^-1 * R^7 * S^-6 ] R161.287 : Type {14,14}_4 Order 1792 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^-2 * S * R^-4 * S * R^-2 * S^-1 * R * S^-1, S^-1 * R^2 * S^-1 * R^-3 * S^-2 * R * S^-3 ] R161.288 : Type {14,14}_8 Order 1792 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^-1 * R * S, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R161.289 : Type {14,14}_8 Order 1792 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^-1 * R * S, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R161.290 : Type {16,48}_6 Order 1536 mV = 8 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^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^16 ] R161.291 : Type {16,48}_12 Order 1536 mV = 8 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R^16 ] R161.292 : Type {16,48}_12 Order 1536 mV = 8 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^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R161.293 : Type {16,48}_12 Order 1536 mV = 8 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^-2 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R161.294 : Type {16,48}_12 Order 1536 mV = 8 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^-2 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R161.295 : Type {16,48}_12 Order 1536 mV = 8 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^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R161.296 : Type {16,48}_12 Order 1536 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, (R * S^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R161.297 : Type {16,48}_12 Order 1536 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, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-2 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-2, R^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2 ] R161.298 : Type {16,48}_12 Order 1536 mV = 12 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, R^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2, R^16 ] R161.299 : Type {16,48}_12 Order 1536 mV = 12 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, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R161.300 : Type {16,48}_12 Order 1536 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 * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-3 ] R161.301 : Type {16,48}_12 Order 1536 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, R^16 ] R161.302 : Type {16,48}_24 Order 1536 mV = 8 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, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] R161.303 : Type {16,48}_24 Order 1536 mV = 8 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^-5 * R^4 * S^-7 ] R161.304 : Type {16,48}_24 Order 1536 mV = 8 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^-2 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^-1, S * R * S^-5 * R * S^6 ] R161.305 : Type {16,48}_24 Order 1536 mV = 8 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^-2 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^-1, S * R * S^-5 * R * S^6 ] R161.306 : Type {16,48}_24 Order 1536 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, R^16, S^12 * R * S^-3 * R * S^9 ] R161.307 : Type {16,48}_24 Order 1536 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, R^16, S^12 * R^-1 * S^-1 * R * S^6 * R^6 * S^5 ] R161.308 : Type {16,48}_24 Order 1536 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, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^12 * R^2 * S^2 * R^-1 * S^-3 * R * S^7 ] R161.309 : Type {16,48}_24 Order 1536 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^12 * R * S^-3 * R * S^9 ] R161.310 : Type {16,48}_24 Order 1536 mV = 12 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^5 * R * S^-1 * R^-2 * S^-6 ] R161.311 : Type {16,48}_24 Order 1536 mV = 12 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^-2 * R^-1 * S^2 * R^-2 * S^6 * R^-1 * S^-2 ] R161.312 : Type {16,48}_24 Order 1536 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, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-2 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-2, S^-2 * R^-1 * S^2 * R^-2 * S^6 * R^-1 * S^-2 ] R161.313 : Type {16,48}_24 Order 1536 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, (R * S^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ] R161.314 : Type {16,48}_24 Order 1536 mV = 12 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^2 * R * S^-4 * R^2 * S^-4 * R * S^2 ] R161.315 : Type {16,48}_24 Order 1536 mV = 12 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^2 * R * S^-4 * R^2 * S^-4 * R * S^2 ] R161.316 : Type {16,48}_24 Order 1536 mV = 12 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-6 * R^-3 * S^4 * R^-1 * S^-2 ] R161.317 : Type {16,48}_24 Order 1536 mV = 12 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^-6 * R^-3 * S^4 * R^-1 * S^-2, R^16 ] R161.318 : Type {16,48}_48 Order 1536 mV = 6 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^12 * R^3 * S^-2 * R * S^10 ] R161.319 : Type {16,48}_48 Order 1536 mV = 6 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^12 * R^2 * S * R^-2 * S^11 ] R161.320 : Type {16,48}_48 Order 1536 mV = 6 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^48 ] R161.321 : Type {16,48}_48 Order 1536 mV = 6 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^16, S^48 ] R161.322 : Type {16,48}_48 Order 1536 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, R^16, (R * S^-1 * R^6)^2, S^-4 * R^-3 * S * R^4 * S * R^-1 * S^-6 ] R161.323 : Type {16,48}_48 Order 1536 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, R^16, (R * S^-1 * R^6)^2, S^6 * R^7 * S^-2 * R * S^4 ] R161.324 : Type {16,48}_48 Order 1536 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, R^16, S^12 * R^3 * S^-2 * R * S^5 * R^-4 * S^5 ] R161.325 : Type {16,48}_48 Order 1536 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^48 ] R161.326 : Type {16,48}_48 Order 1536 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, S * R * S^-5 * R * S^6, R^16, (R * S^-1 * R^6)^2 ] R161.327 : Type {16,48}_48 Order 1536 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, S^5 * R * S^-1 * R * S^6, R^16 ] R161.328 : Type {16,48}_48 Order 1536 mV = 24 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^16, S^12 * R * S^-1 * R * S^11 ] R161.329 : Type {16,48}_48 Order 1536 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^48 ] R161.330 : Type {16,368}_46 Order 1472 mV = 368 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^16, S^23 * R * S^-6 * R * S^17 ] R161.331 : Type {16,368}_92 Order 1472 mV = 368 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^16, S^23 * R * S^-2 * R * S^21 ] R161.332 : Type {20,20}_20 Order 1600 mV = 5 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^-2 * S * R^-5 * S * R^-3 * S * R^-2 * S^3 * R^-2, R^20 ] R161.333 : Type {20,20}_20 Order 1600 mV = 5 mF = 5 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^20, S^20 ] R161.334 : Type {20,180}_36 Order 1440 mV = 90 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^-1 * S, S^18 * R^-1 * S^-8 * R * S^10 ] R161.335 : Type {24,24}_4 Order 1536 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 * R^-1 * S^2 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-1 * S^4 * R^-1 * T * R^2 * S^-2 * R^8 * S^-1 * T * S^5 ] R161.336 : Type {24,24}_4 Order 1536 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^7 * S^-2 * R * S^-2 ] R161.337 : Type {24,24}_4 Order 1536 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 * R^-1 * S^2 * R^-1, S^-2 * R^5 * S^-3 * R * S^-1 ] R161.338 : Type {24,24}_4 Order 1536 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^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S^3 * R^-2 * S^6 * R^-7 * S^2 * R^-1 * S ] R161.339 : Type {24,24}_4 Order 1536 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^5 * S^2 * R^-1 * S, S^2 * R^-3 * S * R^-1 * S^2 * R^-1 * S * R^-8 * S^3 * R^-1 * S ] R161.340 : Type {24,24}_4 Order 1536 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 * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R161.341 : Type {24,24}_4 Order 1536 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^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R^3 * S^-3 * R * S^-4 * R^7 * S^-1 * R^2 * S^-2 * R ] R161.342 : Type {24,24}_4 Order 1536 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, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R161.343 : Type {24,24}_4 Order 1536 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, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S ] R161.344 : Type {24,24}_4 Order 1536 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^6 * S^5, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R161.345 : Type {24,24}_4 Order 1536 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, S^-1 * R^2 * S^-2 * R^10 * S^-1 * R * S^-3 * R * S^-3 ] R161.346 : Type {24,24}_8 Order 1536 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^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, S * R^-2 * S * R^-2 * S^4 * R^-8 * S * R^-1 * S^3 * R^-1 ] R161.347 : Type {24,24}_8 Order 1536 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^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S * R^-1 * S^3 ] R161.348 : Type {24,24}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R * S^-1 * R^4 * S * R^-1 * S^3 ] R161.349 : Type {24,24}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R^4 * S^-4 * R ] R161.350 : Type {24,24}_8 Order 1536 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^-2 * R, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R * S^-1 * R^4 * S * R^-1 * S^3 ] R161.351 : Type {24,24}_8 Order 1536 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^-1 * R * S^-1 * R^4 * S^-4 * R ] R161.352 : Type {24,24}_8 Order 1536 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, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, S * R^-1 * S^3 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^5 ] R161.353 : Type {24,24}_8 Order 1536 mV = 3 mF = 3 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, S^2 * R^-2 * S^7 * R^-7 * S^2 * R^-3 * S ] R161.354 : Type {24,24}_8 Order 1536 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^3 * S * R^-2 * S, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-2 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * R^-6 * S^2 * R^-1 * S * R^-1 * S^2 ] R161.355 : Type {24,24}_8 Order 1536 mV = 3 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^-2 * R^5 * S^-3 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R161.356 : Type {24,24}_8 Order 1536 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^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^6 * S * R^-1 * S^2 * R^-1, R^-1 * S^3 * R^-2 * S * R^-9 * S^2 * R^-1 * S * R^-2 * S * R^-1 ] R161.357 : Type {24,24}_8 Order 1536 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^3 * S^2 * R^-2, R^7 * S^-2 * R * S^-2, R^3 * S^-1 * R^3 * S^-5 ] R161.358 : Type {24,24}_8 Order 1536 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^3 * S^2 * R^-2, S^-1 * R^6 * S^-1 * R * S^-2 * R ] R161.359 : Type {24,24}_8 Order 1536 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, S * R^6 * S^5, R^-2 * S * R^-1 * S^4 * R^-1 * S * R^-9 * S * R^-1 * S * R^-1 * S ] R161.360 : Type {24,24}_8 Order 1536 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, R^2 * S^-1 * R^4 * S^-3 * R * S^-1 ] R161.361 : Type {24,24}_8 Order 1536 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, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S * R^-1 * S^2 * R^-3 * S^3 * R^-6 * S * R^-2 * S^2 * R^-2 ] R161.362 : Type {24,24}_8 Order 1536 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-1 * R * S^-1 * R * S^-1, S * R^6 * S^5, (R^3 * S^-1)^3, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R161.363 : Type {24,24}_8 Order 1536 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^6 * S^-5, R^2 * S^-1 * R^4 * S^2 * R^-1 * S^-2 ] R161.364 : Type {24,24}_8 Order 1536 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, S * R * S^-2 * R^3 * S^3 * R^-2 ] R161.365 : Type {24,24}_8 Order 1536 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 ] R161.366 : Type {24,24}_8 Order 1536 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^6 * S^-5, R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2 ] R161.367 : Type {24,24}_8 Order 1536 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 * R^6 * S^5, S * R * S^-2 * R^3 * S^3 * R^-2 ] R161.368 : Type {24,24}_8 Order 1536 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2 ] R161.369 : Type {24,24}_8 Order 1536 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R161.370 : Type {24,24}_8 Order 1536 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^6 * S^-5, S * R * S^-1 * R^4 * S^4 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R161.371 : Type {24,24}_8 Order 1536 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S ] R161.372 : Type {24,24}_8 Order 1536 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R161.373 : Type {24,24}_8 Order 1536 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^6 * S^-5, S * R * S^-1 * R^4 * S^4 * R^-1, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S ] R161.374 : Type {24,24}_8 Order 1536 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^-2 * S * R^-1 * S^4 * R^-10 * S * R^-5 ] R161.375 : Type {24,24}_8 Order 1536 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^4)^2, S^-1 * R * S^-1 * R^4 * S^-4 * R ] R161.376 : Type {24,24}_8 Order 1536 mV = 4 mF = 4 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^-1 * R^6 * S^-5, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R161.377 : Type {24,24}_8 Order 1536 mV = 4 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^-1 * R^6 * S^-1 * R * S^-2 * R, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-4 * R)^2 ] R161.378 : Type {24,24}_8 Order 1536 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^2 * R^-1 * S * R^-1 * S * R^-3 * S * R^-8 * S * R^-1 * S^4 ] R161.379 : Type {24,24}_8 Order 1536 mV = 6 mF = 3 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^-3 * R * S^4, R^2 * S^-1 * R^4 * S^-3 * R^2, R * S^-1 * R^-3 * S^2 * R^-2 * S^-1 * R^2 * S^-2 ] R161.380 : Type {24,24}_8 Order 1536 mV = 6 mF = 3 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^-3 * R * S^4, R * S^-1 * R^5 * S^-2 * R * S^-1 * R ] R161.381 : Type {24,24}_8 Order 1536 mV = 6 mF = 3 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^-3 * R * S^4, S^-1 * R^6 * S^-1 * R * S^-2 * R, S * R * S^-1 * R^4 * S^2 * R^-3 ] R161.382 : Type {24,24}_8 Order 1536 mV = 6 mF = 6 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, S * R^-6 * S * R^-8 * S^3 * R^-2 * S^3 ] R161.383 : Type {24,24}_8 Order 1536 mV = 6 mF = 6 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^-1 * S * R^-2 * S^2 * R^-1 * S^2 * R^-7 * S^3 * R^-5 ] R161.384 : Type {24,24}_8 Order 1536 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^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-8 * S^2 * R^-1 * S^3 ] R161.385 : Type {24,24}_8 Order 1536 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 * S^-3 * R * S^4, R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R161.386 : Type {24,24}_8 Order 1536 mV = 8 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^2 * R^-1 * S, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^10 * S^-5 ] R161.387 : Type {24,24}_8 Order 1536 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 * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^6 * S^-5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2 ] R161.388 : Type {24,24}_8 Order 1536 mV = 8 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, R^7 * S^-2 * R * S^-2, (R * S^-1)^6, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2 ] R161.389 : Type {24,24}_8 Order 1536 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^6 * S^5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2 ] R161.390 : Type {24,24}_16 Order 1536 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^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R161.391 : Type {30,345}_46 Order 1380 mV = 345 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 * S^-4 * R^14 * S^-1 * R * S^-1 * R^2, S^-12 * R * S^4 * R^-1 * S^-7 ] R161.392 : Type {44,44}_8 Order 1408 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^15 * S^-1 * R * S^-1 * R * S^-3 * R * T * S^2 * R^-8 * S * R^-1 * T * S^-1 * R^3 * S^-1 * R * S^-1 * R ] R161.393 : Type {48,336}_14 Order 1344 mV = 336 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^-6 * R^-1 * S^6 * R^-1 * S^-2, R^-1 * S * R^-9 * S * R^-1 * S * R^-33 * S ] R161.394 : Type {48,336}_28 Order 1344 mV = 336 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^-6 * R^10 * S^-8 ] R161.395 : Type {56,168}_12 Order 1344 mV = 84 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^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-34 * S ] R161.396 : Type {56,168}_12 Order 1344 mV = 84 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, S^-6 * R^-3 * S^4 * R^-1 * S^-2, R^-2 * S^3 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-1 * S ] R161.397 : Type {84,84}_4 Order 1344 mV = 21 mF = 21 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^-53 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-10 * S^2 * R^-4 * S * R^-2 ] R161.398 : Type {84,84}_4 Order 1344 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^-1 * S^63 * R^-17 * S ] R161.399 : Type {84,84}_8 Order 1344 mV = 28 mF = 28 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 * S^-24 * R * S^-1 * R^3 * S^-1 * R^6 * S^-4 * R ] R161.400 : Type {94,329}_14 Order 1316 mV = 329 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^-6 * R^-1 * S^6 * R^-1 * S^-2, S^6 * R^-4 * S * R^-1 * S * R^-33 * S ] R161.401 : Type {164,164}_4 Order 1312 mV = 82 mF = 82 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^115 * R^-12 * S * R^-1 * S * R^-33 * S ] R161.402 : Type {323,646}_2 Order 1292 mV = 646 mF = 323 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^302 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R161.403 : Type {324,324}_2 Order 1296 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^-1 * S^301 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R161.404 : Type {644,644}_2 Order 1288 mV = 644 mF = 644 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^301 * T * R^3 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 162 R162.1 : Type {4,165}_330 Order 2640 mV = 55 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-165 ] R162.2 : Type {4,326}_652 Order 2608 mV = 163 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^326 ] R162.3 : Type {4,648}_648 Order 2592 mV = 648 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^162 * R^2 * S^162 ] R162.4 : Type {6,164}_492 Order 1968 mV = 82 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^164 ] R162.5 : Type {8,110}_440 Order 1760 mV = 55 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^110 ] R162.6 : Type {10,405}_162 Order 1620 mV = 405 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-41 * R * S^3 * R^-1 * S^-37 ] R162.7 : Type {14,56}_56 Order 1568 mV = 8 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^56 ] R162.8 : Type {14,56}_56 Order 1568 mV = 28 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^14 ] R162.9 : Type {14,56}_56 Order 1568 mV = 28 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^56 ] R162.10 : Type {14,378}_54 Order 1512 mV = 378 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^27 * R * S^-5 * R * S^22 ] R162.11 : Type {20,38}_380 Order 1520 mV = 19 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^38 ] R162.12 : Type {20,360}_72 Order 1440 mV = 360 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^-1 * S, S^18 * R * S^-2 * R * S^16 ] R162.13 : Type {26,351}_54 Order 1404 mV = 351 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 * S^-4 * R^14 * S^-1 * R * S^-3, S^-14 * R * S^7 * R^-1 * S^-6 ] R162.14 : Type {36,40}_360 Order 1440 mV = 20 mF = 18 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 * R * S^-2 * T * S^4 * T * S^-1 * R^-9 * S^6 * R^-5 * S^-1 * R * S * R^-1 * S^-2 ] R162.15 : Type {38,342}_18 Order 1368 mV = 342 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^8 * R^-1 * S^-8, R^7 * S^-3 * R * S^-3 * R^15 * S^-1 * R * S^-1 * R^6 ] R162.16 : Type {49,98}_14 Order 1372 mV = 49 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, R * S^-1 * R^-8 * S^-1 * R^5, R^-8 * S^2 * R^-6 * S * R^-10 * S * R^-5 * S * R^-3 * S^11 * R^-1 ] R162.17 : Type {74,333}_18 Order 1332 mV = 333 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-6 * R^20 * S^-1 * R * S^-1 * R^5 * S^-3 ] R162.18 : Type {84,112}_48 Order 1344 mV = 56 mF = 42 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^7 * S * R^-5, S^-2 * R^6 * S^-6 ] R162.19 : Type {110,330}_6 Order 1320 mV = 330 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^60 * R^-12 * S * R^-1 * S^2 * R^-1 * S * R^-31 ] R162.20 : Type {164,328}_8 Order 1312 mV = 328 mF = 82 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^35 * R^-10 * S * R^-1 * S * R^-33 * S ] R162.21 : Type {165,165}_4 Order 1320 mV = 55 mF = 55 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^29 * R^-13 * S^2 * R^-119 ] R162.22 : Type {218,327}_6 Order 1308 mV = 327 mF = 109 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^58 * R^-12 * S * R^-1 * S^2 * R^-1 * S * R^-31 ] R162.23 : Type {325,650}_2 Order 1300 mV = 650 mF = 325 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^302 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R162.24 : Type {326,326}_2 Order 1304 mV = 326 mF = 326 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^303 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R162.25 : Type {648,648}_2 Order 1296 mV = 648 mF = 648 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^301 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 163 R163.1 : Type {3,12}_8 Order 7776 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, 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^-1 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 * R^-1 * S^-3 ] R163.2 : Type {3,12}_72 Order 7776 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R163.3 : Type {3,24}_18 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (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 * 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 ] R163.4 : Type {3,24}_18 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S^24 ] R163.5 : Type {3,60}_60 Order 4320 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-3 * R * S^2 * R^-1 * S^4 ] R163.6 : Type {4,8}_8 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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^-2)^4 ] R163.7 : Type {4,8}_8 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R163.8 : Type {4,8}_72 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^18 ] R163.9 : Type {4,8}_72 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R * S^-1 * 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 * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R163.10 : Type {4,10}_10 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3 ] R163.11 : Type {4,12}_6 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 ] R163.12 : Type {4,12}_6 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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, (R * S^-2)^4, S^12, S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-3 ] R163.13 : Type {4,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, 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 ] R163.14 : Type {4,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, S^12, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R163.15 : Type {4,12}_18 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S, R^-1 * S * R^-2 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R163.16 : Type {4,12}_18 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, S^-1 * R^-2 * S * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R163.17 : Type {4,40}_120 Order 2880 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^40 ] R163.18 : Type {4,40}_120 Order 2880 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2, S * R * S^-2 * R^-1 * S^6 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^6 ] R163.19 : Type {4,76}_114 Order 2736 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^19 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^14 ] R163.20 : Type {4,328}_328 Order 2624 mV = 164 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^82 * R * S^-1 * R * S^81 ] R163.21 : Type {4,328}_328 Order 2624 mV = 164 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^328 ] R163.22 : Type {4,652}_326 Order 2608 mV = 652 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^163 * R^2 * S^163 ] R163.23 : Type {5,6}_10 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R163.24 : Type {5,6}_30 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R ] R163.25 : Type {5,6}_30 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S * R^-2 * S * R^-1 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S ] R163.26 : Type {5,6}_30 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R163.27 : Type {6,9}_6 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * S^2 * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R163.28 : Type {6,9}_6 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * S^2 * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R163.29 : Type {6,9}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R163.30 : Type {6,9}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-1)^6, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 ] R163.31 : Type {6,9}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, 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^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^2 ] R163.32 : Type {6,9}_18 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S * R^-2 * S * R^-2 * S * R^-1 * S * R ] R163.33 : Type {6,9}_18 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S * R^2 * S^-1 * R ] R163.34 : Type {6,9}_54 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R ] R163.35 : Type {6,9}_54 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S * R * S^-1 * R^-1 * S * R ] R163.36 : Type {6,12}_6 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^12, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3 ] R163.37 : Type {6,12}_6 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^12, S * R * S^-3 * R^-3 * S^-1 * R^2 * S^3 ] R163.38 : Type {6,12}_6 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^12 ] R163.39 : Type {6,12}_6 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 ] R163.40 : Type {6,12}_18 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^12, S^3 * R * S^-4 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R163.41 : Type {6,12}_18 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^12 ] R163.42 : Type {6,12}_18 Order 2592 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R163.43 : Type {6,12}_18 Order 2592 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R^-1 * S^2 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R163.44 : Type {6,12}_72 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-4 * R^3 * S^-2, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^3 * R * S^-2 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^3 * R * S^-1 * R * S^-2 ] R163.45 : Type {6,21}_126 Order 2268 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^-21 ] R163.46 : Type {6,57}_114 Order 2052 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-57 ] R163.47 : Type {6,84}_42 Order 2016 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-1 * R^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * R * S^2 ] R163.48 : Type {6,84}_42 Order 2016 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^21 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^17 ] R163.49 : Type {6,165}_330 Order 1980 mV = 55 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-165 ] R163.50 : Type {6,489}_326 Order 1956 mV = 489 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-82 * R^2 * S^-81 ] R163.51 : Type {8,8}_4 Order 2592 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^2 * S^-1)^3 ] R163.52 : Type {8,8}_6 Order 2592 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R163.53 : Type {8,8}_18 Order 2592 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S * R^-1 * S^2 * R^-2 * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 ] R163.54 : Type {8,8}_36 Order 2592 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S * R^-1 * S^2 * R^-2 * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 ] R163.55 : Type {9,72}_6 Order 1728 mV = 9 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S^6 * R * S^-7 * R * S^3 ] R163.56 : Type {12,12}_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, (S^-1 * R)^3, R^12, (R * S^-2 * R^3)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R163.57 : Type {12,12}_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, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2, R^12, (R * S^-1 * R * S^-1 * R^2)^2 ] R163.58 : Type {12,12}_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, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, R^12, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] R163.59 : Type {12,12}_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, (S^-1 * R)^3, R^12, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] R163.60 : Type {12,12}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-2 * R^3)^2, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S^-2 * R * S^2 ] R163.61 : Type {12,12}_18 Order 1944 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)^9 ] R163.62 : Type {12,12}_18 Order 1944 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)^9 ] R163.63 : Type {12,24}_6 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, 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^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] R163.64 : Type {12,24}_6 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-3 * R^3 * S^2 * R^-1 * S^-1 * R, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1, S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ] R163.65 : Type {12,24}_6 Order 1728 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, R * S^-2 * R^4 * S^-2 * R * S^-2, S^6 * R^6 * S^6 ] R163.66 : Type {12,24}_8 Order 1728 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^12, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, (R * S^-4 * R)^2, S^-2 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 ] R163.67 : Type {12,24}_8 Order 1728 mV = 4 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-4 * R)^2, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] R163.68 : Type {12,24}_8 Order 1728 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^12, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, (R * S^-4 * R)^2, (R * S^-1)^6 ] R163.69 : Type {12,24}_8 Order 1728 mV = 4 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-4 * R)^2, (R * S^-1)^6 ] R163.70 : Type {12,24}_8 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S^-1 * R^2 * S^-2 * R^2 * S^-5, S * R * S^-1 * R^5 * S * R^-4 * S ] R163.71 : Type {12,24}_8 Order 1728 mV = 6 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^-3 * R * S^4, R^12, R^2 * S^-2 * R^3 * S^-3 * R * S^-1, S * R * S^-1 * R^5 * S * R^-4 * S ] R163.72 : Type {12,24}_8 Order 1728 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^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R163.73 : Type {12,24}_8 Order 1728 mV = 6 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^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, R^2 * S^-2 * R^3 * S^-3 * R * S^-1 ] R163.74 : Type {12,24}_12 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R * S^-1 * R * S^-2 * R * S^-1 * R * S^-6 ] R163.75 : Type {12,24}_12 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^3 * R^-2, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R163.76 : Type {12,24}_12 Order 1728 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^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^4 * R^2 * S^-1 * R^2 * S^7 ] R163.77 : Type {12,24}_24 Order 1728 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^2 * S^2 * R^-1, R^12, S * R * S^-5 * R * S^6 ] R163.78 : Type {12,24}_24 Order 1728 mV = 4 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, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S * R * S^-5 * R * S^6 ] R163.79 : Type {12,24}_24 Order 1728 mV = 4 mF = 1 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^12, S * R * S^-5 * R * S^6 ] R163.80 : Type {12,24}_24 Order 1728 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12 ] R163.81 : Type {12,24}_24 Order 1728 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^24 ] R163.82 : Type {12,24}_24 Order 1728 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, S^24 ] R163.83 : Type {12,24}_24 Order 1728 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^24 ] R163.84 : Type {12,24}_24 Order 1728 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 * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R163.85 : Type {12,24}_24 Order 1728 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^12, S^-2 * R^-1 * S * R^3 * S * R^-1 * S^-2 * R, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 ] R163.86 : Type {12,24}_24 Order 1728 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^-3 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-3 ] R163.87 : Type {12,24}_24 Order 1728 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^-3 * R * S, (R * S^-1)^6 ] R163.88 : Type {12,24}_24 Order 1728 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^12, S^-2 * R^-1 * S * R^3 * S * R^-1 * S^-2 * R, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, (R * S^-1)^6 ] R163.89 : Type {12,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S * R * S^-1 * R^-1 * S * R^2 * S^5, R^2 * S^-1 * R^5 * S * R^-2 * S * R^-1 * S^-1 ] R163.90 : Type {12,24}_24 Order 1728 mV = 6 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^12, S^-1 * R^2 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-3 * S^5 * R^-1 * S^-1 ] R163.91 : Type {12,24}_24 Order 1728 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^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S * R * S^-1 * R^-1 * S * R^2 * S^5 ] R163.92 : Type {12,24}_24 Order 1728 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^24 ] R163.93 : Type {12,24}_24 Order 1728 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^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4, R^12, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R163.94 : Type {12,24}_24 Order 1728 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^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R163.95 : Type {12,24}_24 Order 1728 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, (R * S^-1)^6 ] R163.96 : Type {12,24}_24 Order 1728 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^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4, R^12, (R * S^-1)^6 ] R163.97 : Type {12,51}_136 Order 1632 mV = 17 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^9 * R^-3 * S^-1 * R^2 * S^-6 * R * S ] R163.98 : Type {12,132}_66 Order 1584 mV = 44 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^33 * R * S^-2 * R * S^31 ] R163.99 : Type {12,132}_66 Order 1584 mV = 66 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^11 * R^-3 * S^-3 * R * S^2 * R * S^-2 * R * S^4 ] R163.100 : Type {12,132}_66 Order 1584 mV = 66 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^33 * R^-3 * S^-3 * T * S * R^2 * S * R^-1 * T * S^28 ] R163.101 : Type {15,30}_18 Order 1620 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^-15, S^-1 * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S^-2 ] R163.102 : Type {24,120}_30 Order 1440 mV = 40 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^-15 * S^4 * R^-1 * S, S^15 * R * S^-2 * R * S^13 ] R163.103 : Type {24,120}_30 Order 1440 mV = 60 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^7 * S * R^-5, S^-3 * R^2 * S^-1 * R^-3 * S^4 * R^-1 * S^-2, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-12 ] R163.104 : Type {24,120}_30 Order 1440 mV = 60 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^11 * S * R^-1 * S, S^15 * R^3 * S^-2 * R * S^3 * R^-2 * S^10 ] R163.105 : Type {24,120}_60 Order 1440 mV = 40 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^-15 * S^4 * R^-1 * S, S^15 * R^-1 * S^-9 * R * S^6 ] R163.106 : Type {24,120}_60 Order 1440 mV = 60 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^7 * S * R^-5, S * R * S^-1 * R^-5 * S^8 ] R163.107 : Type {24,120}_60 Order 1440 mV = 60 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^11 * S * R^-1 * S, S^15 * R^3 * S^-2 * R * S^3 * R^-1 * S^-2 * R^-1 * S^8 ] R163.108 : Type {28,52}_182 Order 1456 mV = 26 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^13 * R^9 * S^-1 * T * S^4 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R163.109 : Type {30,60}_6 Order 1440 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^2 * S^-1 * R^2 * S^-4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R163.110 : Type {30,60}_6 Order 1440 mV = 15 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S^2 * R^-6 * S * R^-2 * S * R^-1 * S * R^-7 * S^2 * R^-2 * S^2 * R^-2 * S ] R163.111 : Type {30,60}_12 Order 1440 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-3 * S^-2 * R^2 ] R163.112 : Type {30,60}_24 Order 1440 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 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-9 * S^6 ] R163.113 : Type {36,45}_40 Order 1440 mV = 15 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R * S^-1 * R^-5 * S^2 * R^-2 * S^2 ] R163.114 : Type {39,78}_6 Order 1404 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S^10 * R^-1 * S * R^-1 * S^3 * R^-13 * S^2 * R^-2 * S * R^-1 * S^2 ] R163.115 : Type {40,40}_6 Order 1440 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^2 * R^-8 * S * R^-1 * S * R^-2 * S^3 * R^-1 * S^2 * R^-7 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S^3 ] R163.116 : Type {40,40}_12 Order 1440 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1, S * R^-2 * S * R^-1 * S * R^-6 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 ] R163.117 : Type {76,76}_6 Order 1368 mV = 19 mF = 19 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^9 * R^-1 * S * R^-3 * S^3 * R^-1 * S^2 * R^-7 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S^2 * R^-1 ] R163.118 : Type {84,168}_8 Order 1344 mV = 84 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^5 * S * R^-3, S^36 * R^-1 * S^9 * R^-6 * S * R^-13 * S * R^-5 * S^11 * R^-1 ] R163.119 : Type {84,168}_8 Order 1344 mV = 84 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, R^-1 * S^33 * R^-12 * S * R^-1 * S * R^-34 * S ] R163.120 : Type {111,222}_6 Order 1332 mV = 111 mF = 37 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^62 * S^-11 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-10 ] R163.121 : Type {327,654}_2 Order 1308 mV = 654 mF = 327 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^304 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R163.122 : Type {328,328}_2 Order 1312 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^-1 * S^305 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R163.123 : Type {328,328}_4 Order 1312 mV = 328 mF = 328 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^114 * R^-12 * S * R^-1 * S * R^-34 ] R163.124 : Type {652,652}_2 Order 1304 mV = 652 mF = 652 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^303 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 164 R164.1 : Type {4,330}_660 Order 2640 mV = 165 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^330 ] R164.2 : Type {4,656}_656 Order 2624 mV = 656 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^164 * R^2 * S^164 ] R164.3 : Type {6,166}_498 Order 1992 mV = 83 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^166 ] R164.4 : Type {6,492}_164 Order 1968 mV = 492 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^82 * R^2 * S^82 ] R164.5 : Type {8,57}_228 Order 1824 mV = 19 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-57 ] R164.6 : Type {8,220}_440 Order 1760 mV = 110 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^55 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^50 ] R164.7 : Type {10,84}_420 Order 1680 mV = 42 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^84 ] R164.8 : Type {10,410}_82 Order 1640 mV = 410 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^41 * R^2 * S^41 ] R164.9 : Type {18,369}_82 Order 1476 mV = 369 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^-1 * S^6 * R^-5 * S^6, S^-21 * R * S^7 * R^-1 * S^-13 ] R164.10 : Type {40,45}_36 Order 1440 mV = 15 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^3 * S^-4 * R * S^2 ] R164.11 : Type {68,170}_20 Order 1360 mV = 85 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^-2 * R^-1 * S^9 * R^-1 * S^-9, S^7 * R^-13 * S^3 * R^-1 * S^3 * R^-4 * S^3 ] R164.12 : Type {84,336}_16 Order 1344 mV = 336 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^-6 * R^23 * S^-1 * R * S^-1 * R^8 * S^-2 ] R164.13 : Type {166,332}_4 Order 1328 mV = 332 mF = 83 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^116 * R^-12 * S * R^-1 * S * R^-34 ] R164.14 : Type {329,658}_2 Order 1316 mV = 658 mF = 329 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^306 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R164.15 : Type {330,330}_2 Order 1320 mV = 330 mF = 330 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^307 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R164.16 : Type {656,656}_2 Order 1312 mV = 656 mF = 656 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^305 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 165 R165.1 : Type {4,45}_90 Order 2880 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-45 ] R165.2 : Type {4,168}_42 Order 2688 mV = 56 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^21 * R * S^-2 * R * S^19 ] R165.3 : Type {4,168}_84 Order 2688 mV = 42 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^42 * R^2 * S * R^-1 * S^-1 * R * S^40 ] R165.4 : Type {4,168}_84 Order 2688 mV = 56 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^21 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^16 ] R165.5 : Type {4,168}_168 Order 2688 mV = 42 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^168 ] R165.6 : Type {4,168}_168 Order 2688 mV = 56 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^168 ] R165.7 : Type {4,168}_168 Order 2688 mV = 56 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^42 * R * S^-2 * R * S^40 ] R165.8 : Type {4,332}_332 Order 2656 mV = 166 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^332 ] R165.9 : Type {4,660}_330 Order 2640 mV = 660 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^165 * R^2 * S^165 ] R165.10 : Type {6,44}_132 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^44 ] R165.11 : Type {8,30}_30 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^30 ] R165.12 : Type {8,30}_30 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^3 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-6 * R * S^2 ] R165.13 : Type {8,30}_30 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^30 ] R165.14 : Type {8,30}_60 Order 1920 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^30 ] R165.15 : Type {8,30}_60 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^3 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-6 * R * S^2 ] R165.16 : Type {8,30}_60 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, R * S^6 * R * S^-1 * R^2 * S^-1 * R^2 * S^-7 ] R165.17 : Type {8,30}_120 Order 1920 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^30 ] R165.18 : Type {8,112}_112 Order 1792 mV = 28 mF = 2 Defining relations for automorphism group: [ R^8, 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^28 * R^2 * S * R^-1 * S^-6 * R^-1 * S^21 ] R165.19 : Type {8,112}_112 Order 1792 mV = 28 mF = 2 Defining relations for automorphism group: [ R^8, 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^28 * R^3 * S^-2 * R * S^26 ] R165.20 : Type {8,112}_112 Order 1792 mV = 28 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^28 * R^2 * S^2 * R^-1 * S^-3 * R * S^23 ] R165.21 : Type {8,112}_112 Order 1792 mV = 28 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^112 ] R165.22 : Type {8,112}_112 Order 1792 mV = 56 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^14 * R * S^-5 * R * S^9 ] R165.23 : Type {8,112}_112 Order 1792 mV = 56 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^14 * R * S^-1 * R * S^13 ] R165.24 : Type {8,112}_112 Order 1792 mV = 56 mF = 2 Defining relations for automorphism group: [ R^8, 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^28 * R * S^-1 * R * S^27 ] R165.25 : Type {8,112}_112 Order 1792 mV = 56 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^112 ] R165.26 : Type {8,440}_110 Order 1760 mV = 440 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^55 * R * S^-2 * R * S^53 ] R165.27 : Type {8,440}_220 Order 1760 mV = 440 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^55 * R^2 * S^55 ] R165.28 : Type {12,68}_204 Order 1632 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^68 ] R165.29 : Type {14,385}_110 Order 1540 mV = 385 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 * R * S^3 * R^-1 * S^-24 ] R165.30 : Type {16,96}_96 Order 1536 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, R^16, S^24 * R * S^-3 * R * S^21 ] R165.31 : Type {16,96}_96 Order 1536 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^24 * R * S^-3 * R * S^21 ] R165.32 : Type {16,96}_96 Order 1536 mV = 48 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 * R * S^-1 * R * S^23 ] R165.33 : Type {16,96}_96 Order 1536 mV = 48 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 * R^-3 * S^-3 * T * S * R^2 * S * R^-2 * T * S^-2 * R * S^17 ] R165.34 : Type {24,32}_96 Order 1536 mV = 8 mF = 6 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^2 * S^4 * R * S^-2 * R^6 * S^-2 * R * S^5 * R^-2 * S ] R165.35 : Type {24,32}_96 Order 1536 mV = 8 mF = 6 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^2 * S^-5 * R^-1 * S * R^7 * S^-2 * R * S^5 * R^-1 * S^-1 ] R165.36 : Type {24,32}_96 Order 1536 mV = 8 mF = 6 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^-10 * S^2 * R^-2 * S^-2, S^8 * R^-2 * S * R^-1 * S^-5 * R * S^2 ] R165.37 : Type {24,32}_96 Order 1536 mV = 8 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^11 * S * R^-1 * S, S^32 ] R165.38 : Type {24,32}_96 Order 1536 mV = 16 mF = 6 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^8 * R * S^-1 * R * S^7, R^24 ] R165.39 : Type {24,32}_96 Order 1536 mV = 16 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^32 ] R165.40 : Type {32,352}_22 Order 1408 mV = 352 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 * R^-1 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-2 * S, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R165.41 : Type {32,352}_44 Order 1408 mV = 352 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 * R^-1 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-2 * S, S^11 * R * S^-2 * R * S^9 ] R165.42 : Type {44,88}_4 Order 1408 mV = 22 mF = 11 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 * R^-2 * S^19 * R^-2 * S * R^-3 * S * R^-10 * S * R^-1 * S * R^-2 ] R165.43 : Type {44,88}_8 Order 1408 mV = 22 mF = 11 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 * R^-2 * S^7 * R^-1 * S * R^-2 * S^2 * R^-1 * S^3 * T * S^-1 * R * S^-1 * R^5 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-5 ] R165.44 : Type {45,45}_4 Order 1440 mV = 9 mF = 9 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^-2 * S * R^-1 * S^27 * R^-1 * S * R^-8 * S^3 * R^-1 ] R165.45 : Type {46,345}_30 Order 1380 mV = 345 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^8 * S^-9 ] R165.46 : Type {62,341}_22 Order 1364 mV = 341 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^-4 * R * S^-1 * R * S^-3 * R^16 * S^-5 ] R165.47 : Type {68,340}_10 Order 1360 mV = 340 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^-4 * R * S^5, S^20 * R^-10 * S * R^-1 * S * R^-15 * S^3 * R^-1 * S^3 * R^-13 ] R165.48 : Type {112,336}_6 Order 1344 mV = 336 mF = 56 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^61 * R^-12 * S * R^-1 * S * R^-34 * S ] R165.49 : Type {112,336}_12 Order 1344 mV = 336 mF = 56 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^5 * R^-13 * S * R^-1 * S * R^-34 * S ] R165.50 : Type {134,335}_10 Order 1340 mV = 335 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^-4 * R * S^5, R^-1 * S^16 * R^-12 * S * R^-1 * S * R^-34 * S ] R165.51 : Type {168,168}_4 Order 1344 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^2, R * S^-1 * R^119 * S^-2 * R^13 * S^-30 * R * S^-1 ] R165.52 : Type {168,168}_4 Order 1344 mV = 56 mF = 56 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^63 * R^-18 ] R165.53 : Type {168,168}_4 Order 1344 mV = 84 mF = 84 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^130 * S^-1 * R * S^-1 * R * S^-1 * R^2 * T * R^-1 * S * R^-10 * T * R^19 ] R165.54 : Type {168,168}_4 Order 1344 mV = 84 mF = 84 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^-53 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-10 * S^2 * R^-4 * S^2 * R^-1 ] R165.55 : Type {168,168}_8 Order 1344 mV = 56 mF = 56 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^22 * R^-17 * S ] R165.56 : Type {168,168}_8 Order 1344 mV = 56 mF = 56 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 * R^-1 * S * R^-1 * S^20 * R^-17 * S ] R165.57 : Type {331,662}_2 Order 1324 mV = 662 mF = 331 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^308 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R165.58 : Type {332,332}_2 Order 1328 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^-1 * S^309 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R165.59 : Type {660,660}_2 Order 1320 mV = 660 mF = 660 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^307 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 166 R166.1 : Type {3,12}_10 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 * R^-1 * S^-3 ] R166.2 : Type {3,12}_12 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S ] R166.3 : Type {3,12}_12 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^3 ] R166.4 : Type {3,12}_30 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^4, S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 * R^-1 * S^-3 ] R166.5 : Type {3,24}_10 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^6 * R^-1 * S ] R166.6 : Type {3,24}_24 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S ] R166.7 : Type {3,66}_6 Order 4356 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-11 * R^-1 * S^21 * R^-1 * S^-12 ] R166.8 : Type {4,5}_60 Order 13200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] R166.9 : Type {4,5}_110 Order 13200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S * R^-1 * S^2 * R^-1 ] R166.10 : Type {4,6}_30 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S^-3 * R^-2 * S^3 * R^2 * S^-2 ] R166.11 : Type {4,15}_30 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-15 ] R166.12 : Type {4,70}_28 Order 2800 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R * S^-1 * R^-1 * S * R^2 * S^7 ] R166.13 : Type {4,114}_76 Order 2736 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^19 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^14 ] R166.14 : Type {4,334}_668 Order 2672 mV = 167 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^334 ] R166.15 : Type {4,664}_664 Order 2656 mV = 664 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^166 * R^2 * S^166 ] R166.16 : Type {5,5}_10 Order 6600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-2 * S * R^-1)^3, (S^2 * R^-1 * S * R^-1)^3 ] R166.17 : Type {5,5}_12 Order 6600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 ] R166.18 : Type {5,40}_6 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R166.19 : Type {6,6}_10 Order 3960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (S * R^-1 * S)^3 ] R166.20 : Type {6,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-1 * R^-2 * S * R^2 * S^-4 ] R166.21 : Type {6,12}_22 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^-3 * R ] R166.22 : Type {6,168}_168 Order 2016 mV = 56 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^168 ] R166.23 : Type {6,168}_168 Order 2016 mV = 84 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^28 * R * S^-3 * R * S^25 ] R166.24 : Type {6,168}_168 Order 2016 mV = 84 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^168 ] R166.25 : Type {6,498}_166 Order 1992 mV = 498 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^83 * R * S^-1 * R * S^82 ] R166.26 : Type {8,10}_30 Order 2400 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-4 * R^4 * S^-1, (R * S^-1)^6, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 ] R166.27 : Type {8,21}_6 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-1)^6, S^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 ] R166.28 : Type {8,21}_12 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3 ] R166.29 : Type {10,85}_170 Order 1700 mV = 17 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-85 ] R166.30 : Type {10,415}_166 Order 1660 mV = 415 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-42 * R^2 * S^-41 ] R166.31 : Type {15,15}_6 Order 1800 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-15 ] R166.32 : Type {15,15}_10 Order 1800 mV = 3 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^-4 * R * S^5, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2, R^-15 ] R166.33 : Type {18,126}_42 Order 1512 mV = 42 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^-1 * S^6 * R^-5 * S^6, S^21 * R * S^-2 * R * S^19 ] R166.34 : Type {18,126}_42 Order 1512 mV = 63 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^7 * S * R^-5, S^-2 * R^-1 * S^5 * R^3 * S^-2 * R * S^4 * R * S^-1, S * R^-1 * S * T * R^5 * S^-1 * R * S^-1 * R^4 * T * S * R^-1 * S ] R166.35 : Type {30,120}_12 Order 1440 mV = 30 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^-3 * R * S^4, S * R^-7 * S^2 * R^-1 * S^2 * R^-1 * S ] R166.36 : Type {30,120}_24 Order 1440 mV = 40 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 * S^-4 * R^14 * S^-1 * R * S^-1 * R^2, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R166.37 : Type {30,120}_24 Order 1440 mV = 60 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 * S^-3 * R * S^4, S * R^7 * S * R^-5, R^2 * S^-4 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-4 * R^2 ] R166.38 : Type {30,120}_24 Order 1440 mV = 60 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^12 * R * S^-1 * R * S^11 ] R166.39 : Type {33,66}_22 Order 1452 mV = 33 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^-1 * S * R^12 * S * R^-9, R^3 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-3 * R^2 ] R166.40 : Type {40,60}_8 Order 1440 mV = 10 mF = 10 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S * R^-1 * S ] R166.41 : Type {70,70}_10 Order 1400 mV = 35 mF = 14 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^20 * R^-1 * S^10 * R^-5 * S^3 * R^-9 * S * R^-5 * S * R^-3 * S^11 * R^-1 ] R166.42 : Type {70,70}_10 Order 1400 mV = 35 mF = 35 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^11 * S^-1 * R * S^-1, S^-3 * R^2 * S^-1 * R^2 * S^-6 ] R166.43 : Type {114,114}_6 Order 1368 mV = 57 mF = 38 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^63 * R^-1 * S^9 * R^-6 * S * R^-13 * S^3 * R^-1 * S * R^-2 * S^11 * R^-1 ] R166.44 : Type {114,114}_6 Order 1368 mV = 57 mF = 57 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 * R^-9 * S^4 * R^-3 * S * R^-7 * S * R^-5 * S * R^-2 * S^2 ] R166.45 : Type {333,666}_2 Order 1332 mV = 666 mF = 333 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^310 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R166.46 : Type {334,334}_2 Order 1336 mV = 334 mF = 334 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^311 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S^2 ] R166.47 : Type {664,664}_2 Order 1328 mV = 664 mF = 664 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^309 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 167 R167.1 : Type {4,336}_336 Order 2688 mV = 168 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^84 * R * S^-1 * R * S^83 ] R167.2 : Type {4,336}_336 Order 2688 mV = 168 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^336 ] R167.3 : Type {4,668}_334 Order 2672 mV = 668 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^167 * R^2 * S^167 ] R167.4 : Type {6,501}_334 Order 2004 mV = 501 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-84 * R * S * R^-1 * S^-82 ] R167.5 : Type {8,224}_224 Order 1792 mV = 112 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^56 * R * S^-1 * R * S^55 ] R167.6 : Type {8,224}_224 Order 1792 mV = 112 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^56 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^51 ] R167.7 : Type {12,102}_136 Order 1632 mV = 34 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^-9 * R^-1 * S * R^-2 * S^5 * R * S^-2 ] R167.8 : Type {20,76}_190 Order 1520 mV = 38 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^19 * R^-3 * S^-3 * T * S * R^2 * S * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^10 ] R167.9 : Type {36,90}_40 Order 1440 mV = 30 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^-2 * S^4 ] R167.10 : Type {40,72}_90 Order 1440 mV = 36 mF = 20 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^9 * R^5 * S^-2 * R * S^3 * R^-2 * S * R^2 * S^3 ] R167.11 : Type {40,72}_180 Order 1440 mV = 36 mF = 20 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^9 * R^5 * S^-2 * R * S^3 * R^-2 * S^2 * R^-2 * S^2 ] R167.12 : Type {44,176}_16 Order 1408 mV = 88 mF = 11 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^-3 * S^2 * R^-1 * S * R^-2 * S * R^-3 * S^3 * R^-1 * S^3 * T * S^-1 * R * S^-1 * R^8 * S^-1 * T * S^7 * R^-5 ] R167.13 : Type {44,176}_16 Order 1408 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-1 * S * R^-7 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-8 * S ] R167.14 : Type {335,670}_2 Order 1340 mV = 670 mF = 335 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^312 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] R167.15 : Type {336,336}_2 Order 1344 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^158 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * T * S^-155 * R ] R167.16 : Type {336,336}_4 Order 1344 mV = 336 mF = 336 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^129 * S^-1 * R * S^-1 * R * S^-1 * R^2 * T * R^-1 * S * R^-10 * T * R^18 * S^-1 ] R167.17 : Type {668,668}_2 Order 1336 mV = 668 mF = 668 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^311 * T * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * R^-1 ] Genus 168 R168.1 : Type {4,171}_342 Order 2736 mV = 57 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-171 ] R168.2 : Type {4,338}_676 Order 2704 mV = 169 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^338 ] R168.3 : Type {4,672}_672 Order 2688 mV = 672 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^168 * R^2 * S^168 ] R168.4 : Type {6,170}_510 Order 2040 mV = 85 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^170 ] R168.5 : Type {8,114}_228 Order 1824 mV = 38 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-29 * R^4 * S^-28 ] R168.6 : Type {8,114}_456 Order 1824 mV = 57 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^114 ] R168.7 : Type {10,86}_430 Order 1720 mV = 43 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^86 ] R168.8 : Type {10,420}_84 Order 1680 mV = 420 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^42 * R * S^-1 * R * S^41 ] R168.9 : Type {12,136}_408 Order 1632 mV = 68 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 * R^-5 * S^-1 * T * S^4 * R^-1 * T * S^29 ] R168.10 : Type {14,58}_406 Order 1624 mV = 29 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^58 ] R168.11 : Type {16,50}_400 Order 1600 mV = 25 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^50 ] R168.12 : Type {18,44}_396 Order 1584 mV = 22 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^44 ] R168.13 : Type {26,30}_390 Order 1560 mV = 15 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^30 ] R168.14 : Type {26,364}_28 Order 1456 mV = 364 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^14 * R^2 * S^14 ] R168.15 : Type {28,182}_52 Order 1456 mV = 91 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^3 * S^-1 * R^19 * S^-1 * R * S^-1 * R * S^-1, S^13 * R * S^-5 * R * S^8 ] R168.16 : Type {34,357}_42 Order 1428 mV = 357 mF = 17 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^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^4, S^-11 * R * S^2 * R^-1 * S^-8 ] R168.17 : Type {40,90}_36 Order 1440 mV = 30 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, (R * S^-1 * R * S^-1 * R)^2, S^-3 * R^-4 * S^-6 ] R168.18 : Type {40,90}_72 Order 1440 mV = 45 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, R^-3 * S * R^-11 * S * R^-1 * S * R^-1 * S, S^9 * R * S^-3 * R * S^6 ] R168.19 : Type {44,352}_32 Order 1408 mV = 352 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^-3 * R^2 * S^-4 * R^4 * S^-9 ] R168.20 : Type {50,350}_14 Order 1400 mV = 350 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, R^12 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^12 ] R168.21 : Type {58,348}_12 Order 1392 mV = 348 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^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-11 * R^8 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^12 * S^-1 ] R168.22 : Type {86,344}_8 Order 1376 mV = 344 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^-3 * R * S^4, S * R^-1 * S^34 * R^-12 * S * R^-1 * S * R^-15 * S^3 * R^-1 * S^3 * R^-12 * S ] R168.23 : Type {87,116}_6 Order 1392 mV = 29 mF = 29 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, S^3 * R^-3 * S^3 * R^-2 * S * R^-1 * S * R^-8 * S * R^-3 * S^3 ] R168.24 : Type {170,340}_4 Order 1360 mV = 340 mF = 85 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^120 * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-2 * S^3 * R^-13 ] R168.25 : Type {171,171}_4 Order 1368 mV = 57 mF = 57 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^26 * S^-2 * R^14 * S^-1 * R * S^-123 * R^2 ] R168.26 : Type {226,339}_6 Order 1356 mV = 339 mF = 113 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^63 * R^-12 * S * R^-1 * S * R^-16 * S^3 * R^-1 * S^3 * R^-12 ] R168.27 : Type {337,674}_2 Order 1348 mV = 674 mF = 337 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^159 * R^-12 * S * T * R * S^-1 * T * R^-161 * S ] R168.28 : Type {338,338}_2 Order 1352 mV = 338 mF = 338 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^163 * T * S * R^-1 * T * S^-1 * R^12 * S^-160 ] R168.29 : Type {672,672}_2 Order 1344 mV = 672 mF = 672 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^158 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * T * S^-156 ] Genus 169 R169.1 : Type {3,8}_24 Order 16128 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-1 ] R169.2 : Type {3,8}_84 Order 16128 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^4 * R * S^-1 * R * S^2 * R^-1 * S ] R169.3 : Type {3,9}_28 Order 12096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R169.4 : Type {3,10}_12 Order 10080 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R * S^-1)^6, (S^2 * R^-1 * S^2)^4, S^-1 * R^-1 * S^3 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-3 * R * S^4 * R^-1 * S^-3 ] R169.5 : Type {3,18}_14 Order 6048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^7 * R^-1 * S^7 * R^-1 * S^-1, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] R169.6 : Type {3,18}_42 Order 6048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, (S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2)^2 ] R169.7 : Type {3,20}_60 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^2, S^20 ] R169.8 : Type {3,48}_12 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-12 * R^-1 * S^15 * R^-1 * S^-5 ] R169.9 : Type {3,48}_12 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^6, S^-3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1, S^-2 * R^-1 * S^4 * R * S^-2 * R^-1 * S * R^-1 * S^-4 * R * S^2 * R^-1 * S^-1 ] R169.10 : Type {4,6}_24 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S ] R169.11 : Type {4,8}_12 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S ] R169.12 : Type {4,8}_24 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^4 * R^-1 * S^2 ] R169.13 : Type {4,8}_24 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2 ] R169.14 : Type {4,8}_28 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S ] R169.15 : Type {4,8}_56 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2, S^2 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-2 * R * S^4 * R^-1 ] R169.16 : Type {4,8}_56 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-4 * R^-1 * S * R * S^-1 * R * S^4 * R^2 * S^-2 ] R169.17 : Type {4,25}_100 Order 3200 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-25 ] R169.18 : Type {4,28}_4 Order 3136 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, S^-13 * R * S^-1 * R^-2 * S^-1 * R * S^-13 ] R169.19 : Type {4,60}_6 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 ] R169.20 : Type {4,60}_12 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R169.21 : Type {4,60}_20 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^-3 * R^-1 * S^12 * R^-1 * S^-3 * R * S * R^-1 * S^-1 ] R169.22 : Type {4,88}_44 Order 2816 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^22 * R^2 * S * R^-1 * S^-1 * R * S^20 ] R169.23 : Type {4,88}_88 Order 2816 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^22 * R^2 * S * R^-1 * S^-5 * R * S^16 ] R169.24 : Type {4,88}_88 Order 2816 mV = 22 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^88 ] R169.25 : Type {4,88}_88 Order 2816 mV = 22 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^22 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^13 ] R169.26 : Type {4,172}_172 Order 2752 mV = 43 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^172 ] R169.27 : Type {4,340}_340 Order 2720 mV = 170 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^340 ] R169.28 : Type {4,676}_338 Order 2704 mV = 676 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^169 * R^2 * S^169 ] R169.29 : Type {5,8}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1)^2 ] R169.30 : Type {5,8}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R169.31 : Type {5,8}_12 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, S * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S^4 * R^-1 ] R169.32 : Type {5,22}_4 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, 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)^6 ] R169.33 : Type {5,22}_10 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-3 * R * S^-1 * R)^2 ] R169.34 : Type {6,6}_8 Order 4032 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R169.35 : Type {6,6}_24 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R169.36 : Type {6,10}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-4)^2, (R * S^-1 * R)^4 ] R169.37 : Type {6,10}_8 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, R^-1 * S^-5 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S^-1 * R * S^3 ] R169.38 : Type {6,10}_16 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, R^-1 * S^-5 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S^-1 * R * S^3 ] R169.39 : Type {6,10}_24 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-1 * S^-5 * R^3 * S^5 * R^-2, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3 ] R169.40 : Type {6,10}_30 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, R^-1 * S^-5 * R * S^-1 * R * S^5 * R^-1 * S ] R169.41 : Type {6,12}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S^12, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R^2 * S^-2 * R^2 * S * R^-1 * S^-4 ] R169.42 : Type {6,12}_16 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R169.43 : Type {6,24}_6 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^6 * R * S^-7 * R * S^3 ] R169.44 : Type {6,24}_6 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 ] R169.45 : Type {6,24}_6 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S ] R169.46 : Type {6,24}_6 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, (R * S^-1)^8 ] R169.47 : Type {6,24}_6 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, (R * S^-1 * R)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R169.48 : Type {6,24}_6 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R169.49 : Type {6,24}_6 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R169.50 : Type {6,24}_6 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R169.51 : Type {6,24}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^4 * R^2 * S^-1 * R^2 * S^7 ] R169.52 : Type {6,24}_12 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R^-1 * S^3 * R * S^-3 * R * S^-2 * R * S^2, S^-3 * R * S^-2 * R^-1 * S^7 * R^-1 * S^-2 * R ] R169.53 : Type {6,24}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^6 * R * S^-7 * R * S^3 ] R169.54 : Type {6,24}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 ] R169.55 : Type {6,24}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] R169.56 : Type {6,24}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^2 * R^2 * S^-1 * R^2 * S^5, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S ] R169.57 : Type {6,24}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2 ] R169.58 : Type {6,24}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^8 ] R169.59 : Type {6,24}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2, (R * S^-1)^8 ] R169.60 : Type {6,24}_12 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^6 * R * S^-7 * R * S^3 ] R169.61 : Type {6,24}_12 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R169.62 : Type {6,24}_12 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] R169.63 : Type {6,24}_12 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3 ] R169.64 : Type {6,24}_12 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 ] R169.65 : Type {6,24}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-3 * R * S^-1)^2, S^4 * R^2 * S^-1 * R^2 * S^7 ] R169.66 : Type {6,24}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R^-1 * S^3 * R * S^-3 * R * S^-2 * R * S^2, R * S^-2 * R * S^-2 * R^-1 * S^7 * R^-1 * S^-1 * R * S^2 ] R169.67 : Type {6,24}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^3 ] R169.68 : Type {6,24}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 ] R169.69 : Type {6,24}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-7 * R^3 * S^-5, S^2 * R^-1 * S^3 * R * S^-3 * R * S^-2 * R * S^2 ] R169.70 : Type {6,24}_24 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] R169.71 : Type {6,24}_24 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^24 ] R169.72 : Type {6,24}_24 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-3 * R * S^4 ] R169.73 : Type {6,24}_24 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^24 ] R169.74 : Type {6,24}_48 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^-2 * S^-5 * R, R * S^2 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-2 ] R169.75 : Type {6,45}_36 Order 2160 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R169.76 : Type {6,45}_90 Order 2160 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S * R^-2 * S * R * S^-1 * R^3 * S^6 ] R169.77 : Type {6,45}_180 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-45 ] R169.78 : Type {6,66}_88 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^11 * R^-1 * S^-4 * R * S * R^-1 * S^-1 * R * S^5 ] R169.79 : Type {6,129}_172 Order 2064 mV = 43 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-23 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-17 ] R169.80 : Type {6,171}_342 Order 2052 mV = 57 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-171 ] R169.81 : Type {6,507}_338 Order 2028 mV = 507 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-85 * R^2 * S^-84 ] R169.82 : Type {8,8}_6 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-3 * S * R^2 * S^4 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R169.83 : Type {8,8}_6 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-3 * S * R^3 * S^4 * R^-1 * S ] R169.84 : Type {8,8}_6 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^3 * S^-1)^3, 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 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R169.85 : Type {8,8}_8 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R169.86 : Type {8,8}_8 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-2 * S^4 * R^2, R * S^-2 * R^4 * S^2 * R^-2 * S^-1 ] R169.87 : Type {8,8}_8 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S * R^3 * S^-1 * R^3 * S^3 * R^-1 * S^2 ] R169.88 : Type {8,8}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2 ] R169.89 : Type {8,8}_12 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R * S^-2 * R * S^-1 * R^3 * S^-2 * R^3 * S^-1 ] R169.90 : Type {8,12}_4 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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 * R * S^-1 * R^2)^2, (R * S^-1)^6, S^2 * R^3 * S^-1 * R^-3 * S^-2 * R^2 * S, S^12 ] R169.91 : Type {8,12}_4 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^12 ] R169.92 : Type {8,12}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, S^12 ] R169.93 : Type {8,12}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^12 ] R169.94 : Type {8,12}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^12 ] R169.95 : Type {8,40}_6 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] R169.96 : Type {8,40}_12 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R169.97 : Type {8,40}_24 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, (R * S^-1)^6, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S ] R169.98 : Type {8,40}_24 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, (R * S^-1)^6, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^3 * R^-2 * S ] R169.99 : Type {9,18}_18 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4 * R)^2 ] R169.100 : Type {9,18}_18 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3 ] R169.101 : Type {10,20}_12 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R^-1 * S * R^-1 * S * R^3 * S^4 * R^-1 ] R169.102 : Type {12,15}_20 Order 1920 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 * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R169.103 : Type {12,15}_40 Order 1920 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^12, (R * S^-1 * R^4)^2, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R169.104 : Type {12,36}_18 Order 1728 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)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^9 * R^4 * S * R^-1 * S^-3 * R * S^5 ] R169.105 : Type {12,36}_18 Order 1728 mV = 9 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^9 * R^-4 * S^2 * R^-1 * S^-1 * R * S^6 ] R169.106 : Type {12,36}_18 Order 1728 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^-2 * R^2 * S^3 * R^-1, R^12, S^9 * R * S^-2 * R * S^7 ] R169.107 : Type {12,36}_36 Order 1728 mV = 3 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^36 ] R169.108 : Type {12,36}_36 Order 1728 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)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^36 ] R169.109 : Type {12,36}_36 Order 1728 mV = 9 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^9 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^5 ] R169.110 : Type {12,36}_36 Order 1728 mV = 9 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^36 ] R169.111 : Type {12,36}_36 Order 1728 mV = 12 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^9 * R * S^-2 * R * S^7 ] R169.112 : Type {12,36}_36 Order 1728 mV = 12 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^36 ] R169.113 : Type {12,36}_72 Order 1728 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^9 * R^5 * S^-6 * R * S^3 ] R169.114 : Type {12,204}_68 Order 1632 mV = 102 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^34 * R * S^-3 * R * S^31 ] R169.115 : Type {18,18}_6 Order 1728 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^6 * S^5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R169.116 : Type {18,18}_24 Order 1728 mV = 3 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^2 * R^-2, S * R^6 * S^5, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-3 * T * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R^3 * S^-1 * T * S * R^-1 ] R169.117 : Type {24,48}_4 Order 1536 mV = 6 mF = 6 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^-3 * R^4 * S^-5 ] R169.118 : Type {24,48}_8 Order 1536 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-2 * R^2 * S^-1, S^-3 * R^4 * S^-5 ] R169.119 : Type {24,48}_16 Order 1536 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 * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R169.120 : Type {24,48}_16 Order 1536 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R169.121 : Type {24,48}_16 Order 1536 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, (R * S^-4 * R)^2 ] R169.122 : Type {24,48}_16 Order 1536 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^-1 * R^6 * S^-1 * R * S^-2 * R, 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 ] R169.123 : Type {24,48}_16 Order 1536 mV = 12 mF = 3 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, S * R^6 * S * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R^9 * S^-3 * R * S^-3 * R * S^-1 * R * S^-1 ] R169.124 : Type {24,48}_16 Order 1536 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^-9 * S^-1 * R^6, S^-1 * R^10 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R169.125 : Type {24,48}_16 Order 1536 mV = 12 mF = 3 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^-1 * R^6 * S^-1 * R * S^-2 * R, 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 ] R169.126 : Type {24,48}_16 Order 1536 mV = 12 mF = 3 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, R * S^-1 * R^5 * S^-2 * R * S^-1 * R, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R169.127 : Type {24,48}_16 Order 1536 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^2 * S^-2 * R^2 * S^-5 ] R169.128 : Type {24,48}_16 Order 1536 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^-3 * R^4 * S^-5 ] R169.129 : Type {24,48}_16 Order 1536 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^-2 * R^-1 * S^7 * R^-1 * S^-7 ] R169.130 : Type {24,48}_16 Order 1536 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^3 * R * S^-1 * R^2 * S^-1 * R * S^3, S * R^-1 * S * R^-1 * S^2 * R^-10 * S^3 * R^-2 * S^3 ] R169.131 : Type {24,48}_16 Order 1536 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^-4 * R^-1 * S^7 * R^-1 * S^-5, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-1 * S * R^-2 ] R169.132 : Type {24,48}_16 Order 1536 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^-3 * R * S^4, S^-2 * R^5 * S^-3 * R * S^-1 ] R169.133 : Type {24,48}_16 Order 1536 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, R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1, S^-3 * R^4 * S^-5, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R169.134 : Type {24,48}_16 Order 1536 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1 ] R169.135 : Type {25,25}_8 Order 1600 mV = 5 mF = 5 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^-1 * S^2 * R^-1 * S^2 * R^-1 * S^4 * R^-10 * S * R^-1 * S * R^-1 ] R169.136 : Type {28,28}_28 Order 1568 mV = 14 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 * S^-1 * R^3 * S^-1 * R^5 * S^-1 * R^8 * S^-1 * R^5 * S^-2, R^28 ] R169.137 : Type {28,28}_28 Order 1568 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, R^28, S^28 ] R169.138 : Type {28,364}_26 Order 1456 mV = 364 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^3 * S^-1 * R^19 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R169.139 : Type {36,180}_20 Order 1440 mV = 90 mF = 18 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^-3 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-4 * S, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R169.140 : Type {54,351}_26 Order 1404 mV = 351 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^7 * R^-10 * S^4 * R^-1 * S * R^-1 * S^3 ] R169.141 : Type {60,60}_6 Order 1440 mV = 12 mF = 12 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^2 * S^-1 * R^3 * S^-1 * R^2 * S^-2 ] R169.142 : Type {60,60}_6 Order 1440 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)^3, S * R^6 * S * R^-4, (R * S^-3 * R^2)^2 ] R169.143 : Type {60,60}_12 Order 1440 mV = 30 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^7 * S * R^-5, R^14 * S^-7 * R^4 * S^-1 * R^5 * S^-1 * R^9 * S^-1 * R^6 * S^-12 ] R169.144 : Type {60,60}_12 Order 1440 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^7 * S * R^-5, S * R * S^-5 * R * S^6, S^5 * R^-2 * S * R^-4 * S * R^-2 * S^5 ] R169.145 : Type {78,117}_18 Order 1404 mV = 39 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^7 * R^-14 * S^4 * R^-1 * S^4 * R^-7 * S^2 ] R169.146 : Type {87,174}_4 Order 1392 mV = 58 mF = 29 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^67 * R^-2 * S * R^-10 * S * R^-2 * S ] R169.147 : Type {88,88}_4 Order 1408 mV = 22 mF = 22 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^-57 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-10 * S * R^-1 * S^3 * R^-1 * S^3 ] R169.148 : Type {88,88}_8 Order 1408 mV = 22 mF = 22 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^5 * R^-7 * S^3 * R^-1 * S^3 * T * S^-1 * R * S^-1 * R^5 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-4 * S ] R169.149 : Type {88,88}_8 Order 1408 mV = 22 mF = 22 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^13 * S^-1 * R * S^-1 * R * S^-3 * R * T * S^2 * R^-8 * S * R^-1 * T * S^-1 * R^3 * S^-1 * R * S^-2 ] R169.150 : Type {88,88}_8 Order 1408 mV = 44 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^5 * S * R^-3, S^38 * R^-1 * S^10 * R^-6 * S * R^-13 * S * R^-1 * S * R^-4 * S^11 * R^-1 ] R169.151 : Type {88,88}_8 Order 1408 mV = 44 mF = 44 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 * R^-2 * S^7 * R^-1 * S * R^-2 * S^2 * R^-1 * S^3 * T * S^-1 * R * S^-1 * R^5 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^3 * R^-2 * S * R^-3 ] R169.152 : Type {172,172}_4 Order 1376 mV = 86 mF = 86 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^121 * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-2 * S^3 * R^-12 * S ] R169.153 : Type {339,678}_2 Order 1356 mV = 678 mF = 339 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^317 * R^-12 * S * T * R * S^-1 * T * R^-5 * S ] R169.154 : Type {340,340}_2 Order 1360 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^166 * T * S * R^-1 * T * S^-1 * R^12 * S^-158 * R ] R169.155 : Type {676,676}_2 Order 1352 mV = 676 mF = 676 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^163 * T * S * R^-1 * T * S^-1 * R^12 * S^-159 * R ] Genus 170 R170.1 : Type {4,342}_684 Order 2736 mV = 171 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^342 ] R170.2 : Type {4,680}_680 Order 2720 mV = 680 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^170 * R^2 * S^170 ] R170.3 : Type {6,6}_26 Order 4056 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R ] R170.4 : Type {6,172}_516 Order 2064 mV = 86 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^172 ] R170.5 : Type {6,510}_170 Order 2040 mV = 510 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^85 * R^2 * S^85 ] R170.6 : Type {8,228}_456 Order 1824 mV = 114 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^57 * R^3 * S^-6 * R * S^51 ] R170.7 : Type {12,70}_420 Order 1680 mV = 35 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^70 ] R170.8 : Type {12,408}_136 Order 1632 mV = 408 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^34 * R^2 * S^34 ] R170.9 : Type {20,190}_76 Order 1520 mV = 95 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^-1 * S, S^19 * R * S^-3 * R * S^16 ] R170.10 : Type {22,36}_396 Order 1584 mV = 18 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^36 ] R170.11 : Type {22,374}_34 Order 1496 mV = 374 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^-1 * S, S^17 * R * S^-5 * R * S^12 ] R170.12 : Type {36,360}_40 Order 1440 mV = 360 mF = 18 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^-3 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-4 * S, S^10 * R^2 * S^10 ] R170.13 : Type {40,180}_72 Order 1440 mV = 90 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, R^-3 * S * R^-11 * S * R^-1 * S * R^-1 * S, S^9 * R^3 * S^-2 * R * S^7 ] R170.14 : Type {42,357}_34 Order 1428 mV = 357 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^-8 * R^4 * S^-9 ] R170.15 : Type {116,174}_12 Order 1392 mV = 87 mF = 58 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 * S^-6 * R^12 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^13 ] R170.16 : Type {138,345}_10 Order 1380 mV = 345 mF = 69 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 * R^-1 * S^17 * R^-12 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-11 * S ] R170.17 : Type {172,344}_8 Order 1376 mV = 344 mF = 86 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^36 * R^-12 * S * R^-1 * S * R^-15 * S^3 * R^-1 * S^3 * R^-13 ] R170.18 : Type {341,682}_2 Order 1364 mV = 682 mF = 341 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^159 * R^-12 * S * T * R * S^-1 * T * R^-165 * S ] R170.19 : Type {342,342}_2 Order 1368 mV = 342 mF = 342 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^166 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * T * S^-160 ] R170.20 : Type {680,680}_2 Order 1360 mV = 680 mF = 680 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^166 * T * S * R^-1 * T * S^-1 * R^12 * S^-159 ] Genus 171 R171.1 : Type {3,40}_6 Order 4800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^40 ] R171.2 : Type {4,9}_6 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (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^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ] R171.3 : Type {4,9}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3 ] R171.4 : Type {4,9}_34 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3 ] R171.5 : Type {4,174}_174 Order 2784 mV = 58 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^174 ] R171.6 : Type {4,344}_344 Order 2752 mV = 172 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^86 * R * S^-1 * R * S^85 ] R171.7 : Type {4,344}_344 Order 2752 mV = 172 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^344 ] R171.8 : Type {4,684}_342 Order 2736 mV = 684 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^171 * R^2 * S^171 ] R171.9 : Type {5,60}_20 Order 2400 mV = 20 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3 ] R171.10 : Type {6,20}_6 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^5 * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 ] R171.11 : Type {6,20}_6 Order 2400 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, 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^20 ] R171.12 : Type {6,20}_10 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S^2 * R * S^-2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R171.13 : Type {6,88}_66 Order 2112 mV = 22 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^11 * R * S^-1 * R^2 * S^-5 * R * S^5 ] R171.14 : Type {6,88}_132 Order 2112 mV = 22 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^11 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^7 ] R171.15 : Type {8,116}_232 Order 1856 mV = 29 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^116 ] R171.16 : Type {8,116}_232 Order 1856 mV = 58 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^116 ] R171.17 : Type {8,456}_114 Order 1824 mV = 456 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^57 * R^2 * S^57 ] R171.18 : Type {8,456}_228 Order 1824 mV = 456 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^57 * R * S^-2 * R * S^55 ] R171.19 : Type {14,399}_114 Order 1596 mV = 399 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^-29 * R * S^4 * R^-1 * S^-24 ] R171.20 : Type {15,35}_8 Order 1680 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^-3 * R^3 * S^-4, S * R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R171.21 : Type {20,40}_40 Order 1600 mV = 4 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, R^-2 * S * R^-1 * S * R^-10 * S * R^-1 * S * R^-2, S^10 * R^2 * S * R^-2 * S^9 ] R171.22 : Type {20,40}_40 Order 1600 mV = 4 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^-1 * S, S^40 ] R171.23 : Type {20,40}_40 Order 1600 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 * S^2, R^20 ] R171.24 : Type {20,40}_40 Order 1600 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 * S^-1 * T * S * R^-2 * S * R^-4 * S * R^-2 * S * T * S^-4, R^20 ] R171.25 : Type {20,40}_40 Order 1600 mV = 20 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, R^20, S^10 * R * S^-1 * R * S^9 ] R171.26 : Type {20,40}_40 Order 1600 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^40 ] R171.27 : Type {20,380}_38 Order 1520 mV = 380 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^-1 * S, S^19 * R^-2 * S^19 ] R171.28 : Type {24,64}_192 Order 1536 mV = 32 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^11 * S * R^-1 * S, S^16 * R * S^-1 * R * S^15 ] R171.29 : Type {24,64}_192 Order 1536 mV = 32 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^16 * R^-3 * S^-3 * T * S * R^2 * S * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^5 ] R171.30 : Type {30,75}_50 Order 1500 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^3 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^2, S^-13 * R * S^5 * R^-1 * S^-7 ] R171.31 : Type {40,360}_18 Order 1440 mV = 360 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^-1 * S * R^-5 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-6 * S ] R171.32 : Type {40,360}_36 Order 1440 mV = 360 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^-9 * R^2 * S^-9 ] R171.33 : Type {45,180}_8 Order 1440 mV = 60 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^-2 * R * S^3, R^23 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 ] R171.34 : Type {88,176}_16 Order 1408 mV = 88 mF = 44 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^-1 * S * R^-1 * S * R^-14 * S^4 * R^-1 * S^4 * R^-9 * S^2 ] R171.35 : Type {88,176}_16 Order 1408 mV = 88 mF = 44 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^-3 * S^2 * R^-1 * S * R^-2 * S * R^-3 * S^3 * R^-1 * S^3 * T * S^-1 * R * S^-1 * R^8 * S^-1 * T * S^6 * R^-2 * S * R^-3 ] R171.36 : Type {116,348}_6 Order 1392 mV = 348 mF = 58 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^66 * R^-12 * S * R^-1 * S * R^-15 * S^2 * R^-2 * S^4 * R^-12 ] R171.37 : Type {174,174}_4 Order 1392 mV = 58 mF = 58 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^125 * R^-1 * S * R^-14 * S^2 * R^-28 * S ] R171.38 : Type {230,345}_6 Order 1380 mV = 345 mF = 115 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^64 * R^-12 * S * R^-1 * S * R^-15 * S^2 * R^-2 * S^4 * R^-11 * S ] R171.39 : Type {343,686}_2 Order 1372 mV = 686 mF = 343 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^320 * S^-2 * R^2 * T * S * R^-9 * S * T * R * S^-1 * T * R^-5 * T ] R171.40 : Type {344,344}_2 Order 1376 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^-1 * R^321 * S^-2 * R^2 * T * S * R^-9 * S * T * R * S^-1 * T * R^-5 * T ] R171.41 : Type {344,344}_4 Order 1376 mV = 344 mF = 344 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^122 * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-2 * S^3 * R^-13 ] R171.42 : Type {684,684}_2 Order 1368 mV = 684 mF = 684 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^166 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * T * S^-159 * R ] Genus 172 R172.1 : Type {4,5}_18 Order 13680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 ] R172.2 : Type {4,5}_20 Order 13680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R172.3 : Type {4,42}_84 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^42 ] R172.4 : Type {4,42}_84 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R172.5 : Type {4,346}_692 Order 2768 mV = 173 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^346 ] R172.6 : Type {4,688}_688 Order 2752 mV = 688 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^172 * R^2 * S^172 ] R172.7 : Type {5,5}_18 Order 6840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R * S^-1 * R)^2 ] R172.8 : Type {5,5}_20 Order 6840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^2 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R172.9 : Type {5,16}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R172.10 : Type {5,16}_16 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-2 * R, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R172.11 : Type {6,60}_20 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S, S^10 * R * S^-3 * R * S^7 ] R172.12 : Type {6,60}_20 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-10 * R^2 * S^-2 * R * S^3 * R^-1 * S^-5 ] R172.13 : Type {6,60}_60 Order 2160 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R172.14 : Type {6,60}_60 Order 2160 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^60 ] R172.15 : Type {6,60}_60 Order 2160 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^60 ] R172.16 : Type {6,60}_60 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^60 ] R172.17 : Type {6,60}_60 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^10 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^3 ] R172.18 : Type {6,60}_60 Order 2160 mV = 20 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^60 ] R172.19 : Type {6,174}_174 Order 2088 mV = 58 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^174 ] R172.20 : Type {6,174}_174 Order 2088 mV = 87 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^29 * R * S^-1 * R * S^28 ] R172.21 : Type {6,174}_174 Order 2088 mV = 87 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^174 ] R172.22 : Type {6,516}_172 Order 2064 mV = 516 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^86 * R * S^-1 * R * S^85 ] R172.23 : Type {8,9}_12 Order 2592 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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 ] R172.24 : Type {8,9}_36 Order 2592 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-3 * R * S^-2 ] R172.25 : Type {10,88}_440 Order 1760 mV = 44 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^88 ] R172.26 : Type {10,430}_86 Order 1720 mV = 430 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^43 * R * S^-2 * R * S^41 ] R172.27 : Type {12,48}_16 Order 1728 mV = 12 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, R^12, (R * S^-1 * R^4)^2, R^2 * S^-2 * R^3 * S^-3 * R * S^-1, S^-3 * R^5 * S^3 * R^-1 * S^-2 ] R172.28 : Type {12,48}_16 Order 1728 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, R^-2 * S^2 * R^4 * S^6 ] R172.29 : Type {12,48}_48 Order 1728 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^-1 * S * R^4 * S * R^-1 * S^-4 ] R172.30 : Type {12,48}_48 Order 1728 mV = 8 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^12 * R^-3 * S^-1 * R^2 * S^-3 * R^-1 * S^8 ] R172.31 : Type {12,48}_48 Order 1728 mV = 8 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^12 * R^-2 * S^2 * R^-1 * S^-4 * R^-1 * S^2 * R^-2 * S^4 ] R172.32 : Type {12,48}_48 Order 1728 mV = 12 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 * R^3 * S^-1 * R * S^5 * R^-1 * S^-2 * R * S^4 ] R172.33 : Type {12,48}_48 Order 1728 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, R^-1 * S * R^-4 * S * R^-1 * S^-6 ] R172.34 : Type {12,48}_48 Order 1728 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^12 * R * S^-2 * R * S^10 ] R172.35 : Type {15,90}_6 Order 1620 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^-5 * R * S^6, R^-15 ] R172.36 : Type {16,100}_400 Order 1600 mV = 50 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^25 * R^-4 * S^2 * T * S^-2 * R * S * R^-2 * T * S^-2 * R * S^18 ] R172.37 : Type {18,45}_30 Order 1620 mV = 15 mF = 3 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^-18, S^2 * R * S^-11 * R * S^2 ] R172.38 : Type {18,45}_30 Order 1620 mV = 15 mF = 3 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^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, R^3 * S^-1 * R^3 * S * R^-2 * S^-2, S^2 * R * S^-11 * R * S^2 ] R172.39 : Type {18,45}_90 Order 1620 mV = 5 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^-1 * S^6 * R^-5 * S^6, S^-45 ] R172.40 : Type {18,387}_86 Order 1548 mV = 387 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^-1 * S^6 * R^-5 * S^6, S^-22 * R^2 * S^-21 ] R172.41 : Type {28,84}_6 Order 1512 mV = 21 mF = 7 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^9 * S^-1 * R * S^-1 * R * S^-1 ] R172.42 : Type {42,42}_6 Order 1512 mV = 7 mF = 7 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^5, R^8 * S^-1 * R * S^-2 * R * S^-1 ] R172.43 : Type {42,42}_6 Order 1512 mV = 7 mF = 7 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^-3 * R^8 * S^-2 * R^2 * S^-1 * R^4 * T * S^5 * R^-2 * S^5 * T * S^-8 ] R172.44 : Type {42,42}_6 Order 1512 mV = 7 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-2 * S^14 * R^-3 * S^5 * R^-9 * S * R^-3 * S^4 * R^-1 ] R172.45 : Type {60,120}_24 Order 1440 mV = 40 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^-6 * R^18 * S^-6 ] R172.46 : Type {60,120}_24 Order 1440 mV = 60 mF = 10 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^7 * S * R^-5, S^-3 * R * S^-1 * R^4 * T * R^-5 * S * R^-2 * S * R^-2 * S * T * S^-2 * R * S^-4 * R * S^-1 ] R172.47 : Type {60,120}_24 Order 1440 mV = 60 mF = 30 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^7 * S * R^-5, R^-1 * S^5 * R * S^-1 * R^-3 * S^4 * R^-1 * S^-2 ] R172.48 : Type {72,90}_40 Order 1440 mV = 45 mF = 36 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^-2 * S^3 * R^-2 * S * R^-2 * S * R^-2 * S^5 ] R172.49 : Type {117,234}_6 Order 1404 mV = 117 mF = 39 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^65 * R^-1 * S^10 * R^-6 * S * R^-13 * S * R^-2 * S * R^-3 * S^12 ] R172.50 : Type {174,348}_4 Order 1392 mV = 348 mF = 87 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^124 * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S^4 * R^-12 ] R172.51 : Type {345,690}_2 Order 1380 mV = 690 mF = 345 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^322 * S^-2 * R^2 * T * S * R^-9 * S * T * R * S^-1 * T * R^-5 * T ] R172.52 : Type {346,346}_2 Order 1384 mV = 346 mF = 346 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^159 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * T * S^-165 ] R172.53 : Type {688,688}_2 Order 1376 mV = 688 mF = 688 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^322 * S^-2 * R^2 * T * S * R^-9 * S * T * R * S^-1 * T * R^-5 * T ] Genus 173 R173.1 : Type {4,90}_180 Order 2880 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^90 ] R173.2 : Type {4,176}_176 Order 2816 mV = 44 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^176 ] R173.3 : Type {4,176}_176 Order 2816 mV = 44 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^44 * R^2 * S * R^-1 * S^-1 * R * S^42 ] R173.4 : Type {4,348}_348 Order 2784 mV = 174 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^348 ] R173.5 : Type {4,692}_346 Order 2768 mV = 692 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^173 * R^2 * S^173 ] R173.6 : Type {6,132}_44 Order 2112 mV = 44 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^22 * R * S^-1 * R^2 * S^-1 * R * S^20 ] R173.7 : Type {6,132}_88 Order 2112 mV = 44 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^11 * R^2 * S^4 * R^-1 * S^-1 * R * S^6 ] R173.8 : Type {6,519}_346 Order 2076 mV = 519 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-87 * R * S * R^-1 * S^-85 ] R173.9 : Type {8,60}_30 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^15 * R^3 * S^-3 * R * S^12 ] R173.10 : Type {8,60}_60 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^60 ] R173.11 : Type {8,60}_60 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^15 * R^3 * S^-7 * R^-1 * S^8 ] R173.12 : Type {8,60}_60 Order 1920 mV = 15 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^60 ] R173.13 : Type {8,60}_60 Order 1920 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^60 ] R173.14 : Type {8,60}_60 Order 1920 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^15 * R * S^-2 * R * S^13 ] R173.15 : Type {8,60}_120 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^15 * R^-1 * S^-1 * R^2 * S^-6 * R * S^8 ] R173.16 : Type {8,60}_120 Order 1920 mV = 15 mF = 2 Defining relations for automorphism group: [ R^8, 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^60 ] R173.17 : Type {8,232}_116 Order 1856 mV = 116 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^58 * R * S^-1 * R * S^57 ] R173.18 : Type {8,232}_116 Order 1856 mV = 116 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^58 * R^3 * S^-6 * R * S^52 ] R173.19 : Type {10,24}_4 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, 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 * R)^4, (R * S^-5)^2, S^-2 * R * S^-1 * R^4 * S * R^-3 * S^-2 ] R173.20 : Type {10,24}_8 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, (R * S^-4 * R)^2 ] R173.21 : Type {10,24}_40 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (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^4 * S * R^-1 * S^-1 * R^2 ] R173.22 : Type {10,24}_40 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-4 * S * R^-4 * S^7 ] R173.23 : Type {12,140}_210 Order 1680 mV = 70 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^35 * R^-3 * S^-3 * T * S^2 * R^-3 * T * S^30 ] R173.24 : Type {18,99}_44 Order 1584 mV = 33 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^-1 * S^2 * R * S^-1 * R^2 * S^-6 ] R173.25 : Type {24,96}_32 Order 1536 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^-3 * R^-1 * S^5 * R^2 * S^3 * R^-1 * S^-5, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-1 * S * R^-2 ] R173.26 : Type {24,96}_32 Order 1536 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^8 * R^4 * S^8 ] R173.27 : Type {24,96}_32 Order 1536 mV = 24 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^8 * R^4 * S^8 ] R173.28 : Type {24,96}_32 Order 1536 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^19 * S^-1 * R * S^-1 * R^2, S^16 * R * S^-3 * R * S^13 ] R173.29 : Type {24,96}_32 Order 1536 mV = 48 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^8 * R * S^-1 * R * S^7 ] R173.30 : Type {24,96}_32 Order 1536 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^16 * R * S^-3 * R * S^13 ] R173.31 : Type {32,48}_96 Order 1536 mV = 24 mF = 8 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^-5 * R * S^6, (R * S^-1 * R^6)^2, R^-2 * S * R^13 * S * R^-1 ] R173.32 : Type {32,48}_96 Order 1536 mV = 24 mF = 8 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^5 * R * S^-1 * R * S^6, R^-2 * S * R^13 * S * R^-1 ] R173.33 : Type {32,48}_96 Order 1536 mV = 24 mF = 16 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^-1 * S^-2 * R^-13 * S^-1 * R * S * R^-1, S^12 * R * S^-1 * R * S^11 ] R173.34 : Type {32,48}_96 Order 1536 mV = 24 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-7 * T * R^-2 * S^2 * T * S^-3 * R^-6 * S^-3 * T * S * R^2 * S * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R173.35 : Type {90,90}_4 Order 1440 mV = 30 mF = 30 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^72 * S^-3 * R^10 * S^-3 * R^2 ] R173.36 : Type {176,176}_4 Order 1408 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^125 * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S^4 * R^-11 * S ] R173.37 : Type {176,176}_4 Order 1408 mV = 88 mF = 88 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^-57 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-10 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 ] R173.38 : Type {176,176}_8 Order 1408 mV = 88 mF = 88 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^-3 * S^35 * R^-1 * S^10 * R^-6 * S * R^-13 * S * R^-1 * S * R^-4 * S^12 ] R173.39 : Type {347,694}_2 Order 1388 mV = 694 mF = 347 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^166 * R^-12 * S * T * R * S^-1 * T * R^-165 ] R173.40 : Type {348,348}_2 Order 1392 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^-1 * S^326 * R^-12 * S * T * R * S^-1 * T * R^-6 ] R173.41 : Type {692,692}_2 Order 1384 mV = 692 mF = 692 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^159 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * T * S^-164 * R ] Genus 174 R174.1 : Type {4,177}_354 Order 2832 mV = 59 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-177 ] R174.2 : Type {4,350}_700 Order 2800 mV = 175 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^350 ] R174.3 : Type {4,696}_696 Order 2784 mV = 696 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^174 * R^2 * S^174 ] R174.4 : Type {6,176}_528 Order 2112 mV = 88 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^176 ] R174.5 : Type {8,118}_472 Order 1888 mV = 59 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^118 ] R174.6 : Type {10,435}_174 Order 1740 mV = 435 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-44 * R * S * R^-1 * S^-42 ] R174.7 : Type {12,210}_140 Order 1680 mV = 105 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^35 * R * S^-1 * R * S^34 ] R174.8 : Type {14,60}_420 Order 1680 mV = 30 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^60 ] R174.9 : Type {14,406}_58 Order 1624 mV = 406 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^29 * R^2 * S^29 ] R174.10 : Type {26,377}_58 Order 1508 mV = 377 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-15 * R * S^8 * R^-1 * S^-6 ] R174.11 : Type {52,182}_28 Order 1456 mV = 91 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^7 * R^-12 * S^7 ] R174.12 : Type {72,180}_40 Order 1440 mV = 90 mF = 36 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^-6 * S * R^-2 * S^5 ] R174.13 : Type {118,354}_6 Order 1416 mV = 354 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, R^79 * S^-4 * R^2 * S^-2 * R^15 * S^-1 * R * S^-1 * R^13 ] R174.14 : Type {177,177}_4 Order 1416 mV = 59 mF = 59 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^14 * S^-1 * R * S^-126 * R^2 ] R174.15 : Type {349,698}_2 Order 1396 mV = 698 mF = 349 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^326 * T * S^-1 * R^2 * T * S * R^-9 * S * T * R * S^-1 * T * R^-6 ] R174.16 : Type {350,350}_2 Order 1400 mV = 350 mF = 350 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^162 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-167 ] R174.17 : Type {696,696}_2 Order 1392 mV = 696 mF = 696 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^326 * R^-12 * S * T * R * S^-1 * T * R^-5 * S ] Genus 175 R175.1 : Type {4,120}_40 Order 2880 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^20 * R^2 * S * R^-1 * S^-1 * R * S^18 ] R175.2 : Type {4,120}_40 Order 2880 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^-8 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^7 * R^-1 * S^-1 ] R175.3 : Type {4,352}_352 Order 2816 mV = 176 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^88 * R * S^-1 * R * S^87 ] R175.4 : Type {4,352}_352 Order 2816 mV = 176 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^352 ] R175.5 : Type {4,700}_350 Order 2800 mV = 700 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^175 * R^2 * S^175 ] R175.6 : Type {6,177}_354 Order 2124 mV = 59 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-177 ] R175.7 : Type {6,525}_350 Order 2100 mV = 525 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-88 * R^2 * S^-87 ] R175.8 : Type {12,14}_24 Order 2016 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)^2, R^12, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R^-3 * S^6 ] R175.9 : Type {12,72}_18 Order 1728 mV = 18 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^9 * R * S^-1 * R^2 * S^-1 * R * S^7 ] R175.10 : Type {12,72}_36 Order 1728 mV = 18 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^9 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^5 ] R175.11 : Type {12,72}_72 Order 1728 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^18 * R * S^-5 * R * S^13 ] R175.12 : Type {12,72}_72 Order 1728 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^72 ] R175.13 : Type {12,72}_72 Order 1728 mV = 36 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^18 * R * S^-1 * R * S^17 ] R175.14 : Type {12,72}_72 Order 1728 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^72 ] R175.15 : Type {12,420}_70 Order 1680 mV = 420 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^35 * R * S^-4 * R * S^31 ] R175.16 : Type {16,52}_208 Order 1664 mV = 13 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^52 ] R175.17 : Type {16,52}_208 Order 1664 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^52 ] R175.18 : Type {16,400}_50 Order 1600 mV = 400 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^16, S^25 * R^2 * S^25 ] R175.19 : Type {16,400}_100 Order 1600 mV = 400 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^16, S^25 * R * S^-4 * R * S^21 ] R175.20 : Type {18,24}_18 Order 1728 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^2 * R^-2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^18 ] R175.21 : Type {18,24}_18 Order 1728 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^2 * S^-4, R^18 ] R175.22 : Type {18,24}_36 Order 1728 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^18 ] R175.23 : Type {18,24}_36 Order 1728 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^18 ] R175.24 : Type {22,385}_70 Order 1540 mV = 385 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^-1 * S, S^-18 * R * S * R^-1 * S^-16 ] R175.25 : Type {24,192}_64 Order 1536 mV = 96 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^19 * S^-1 * R * S^-1 * R^2, S^16 * R^-1 * S^-10 * R * S^6 ] R175.26 : Type {24,192}_64 Order 1536 mV = 96 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^16 * R^3 * S^-2 * R * S^14 ] R175.27 : Type {52,364}_14 Order 1456 mV = 364 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^6 * R * S^-6 * R * S^2, R^-13 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 ] R175.28 : Type {72,360}_10 Order 1440 mV = 360 mF = 36 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^33 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^13 ] R175.29 : Type {72,360}_20 Order 1440 mV = 360 mF = 36 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^9 * R^-1 * S^-9, S^-7 * R * S^-1 * R^18 * S^-1 * R * S^-1 * R^2 * S^-4 ] R175.30 : Type {90,180}_8 Order 1440 mV = 60 mF = 30 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^-2 * R^21 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R ] R175.31 : Type {102,357}_14 Order 1428 mV = 357 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^6 * R * S^-6 * R * S^2, S^-6 * R^6 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^12 * S^-1 ] R175.32 : Type {120,120}_6 Order 1440 mV = 60 mF = 40 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^69 * S^-11 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-11 * R ] R175.33 : Type {120,120}_6 Order 1440 mV = 60 mF = 60 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^-1 * S^3 * R^-10 * S^4 * R^-3 * S * R^-11 * S^6 * R^-1 ] R175.34 : Type {120,120}_12 Order 1440 mV = 60 mF = 40 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^7 * S * R^-5, S^-1 * R^9 * S^-11 * R^4 * S^-1 * R^5 * S^-1 * R^9 * S^-1 * R^6 * S^-11 * R ] R175.35 : Type {120,120}_12 Order 1440 mV = 60 mF = 60 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^7 * S * R^-5, S * R * S^-5 * R * S^6, R^-7 * S * R^-4 * S * R^-2 * S^4 * R^-1 ] R175.36 : Type {142,355}_10 Order 1420 mV = 355 mF = 71 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^28 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^12 * S^-1 ] R175.37 : Type {351,702}_2 Order 1404 mV = 702 mF = 351 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^167 * R^-12 * S * T * R * S^-1 * T * R^-5 * S * R^-162 ] R175.38 : Type {352,352}_2 Order 1408 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^163 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-167 * R ] R175.39 : Type {352,352}_4 Order 1408 mV = 352 mF = 352 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^126 * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S^4 * R^-12 ] R175.40 : Type {700,700}_2 Order 1400 mV = 700 mF = 700 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^162 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-166 * R ] Genus 176 R176.1 : Type {3,20}_30 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^20 ] R176.2 : Type {3,20}_30 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S * R^-1 * S^6 * R^-1 * S^3 * R^-1 * S^-3 * R * S^3, S^20 ] R176.3 : Type {3,56}_12 Order 4704 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^14 * R * S^-2 * R * S^-2 * R * S^12 ] R176.4 : Type {4,354}_708 Order 2832 mV = 177 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^354 ] R176.5 : Type {4,704}_704 Order 2816 mV = 704 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^176 * R^2 * S^176 ] R176.6 : Type {6,10}_30 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R176.7 : Type {6,10}_30 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S ] R176.8 : Type {6,10}_30 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R176.9 : Type {6,10}_30 Order 3000 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-5 * R * S^-2 * R * S^5 * R * S^-2 ] R176.10 : Type {6,24}_40 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-2 * R^2 * S^-1 * R^2 * S^-5, R * S^-2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 ] R176.11 : Type {6,24}_40 Order 2400 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-2 * R^-1 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^2 ] R176.12 : Type {6,28}_12 Order 2352 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R^-1 * S^11 * R^-1 * S^-1 * R * S^-1 ] R176.13 : Type {6,28}_12 Order 2352 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2, S^-5 * R * S^-1 * R^2 * S^-1 * R * S^-5 ] R176.14 : Type {6,178}_534 Order 2136 mV = 89 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^178 ] R176.15 : Type {6,528}_176 Order 2112 mV = 528 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^88 * R^2 * S^88 ] R176.16 : Type {8,236}_472 Order 1888 mV = 118 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^59 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^54 ] R176.17 : Type {10,20}_4 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, 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 ] R176.18 : Type {10,20}_4 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, 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 ] R176.19 : Type {10,20}_20 Order 2000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S^4 * R^-1 ] R176.20 : Type {10,20}_20 Order 2000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^20 ] R176.21 : Type {10,20}_20 Order 2000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^20 ] R176.22 : Type {10,20}_20 Order 2000 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^20 ] R176.23 : Type {10,20}_20 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 ] R176.24 : Type {10,20}_20 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^2 ] R176.25 : Type {10,20}_20 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] R176.26 : Type {10,20}_20 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^3)^2 ] R176.27 : Type {10,90}_90 Order 1800 mV = 18 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^90 ] R176.28 : Type {10,90}_90 Order 1800 mV = 45 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^9 * R * S^-3 * R * S^6 ] R176.29 : Type {10,90}_90 Order 1800 mV = 45 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^90 ] R176.30 : Type {10,440}_88 Order 1760 mV = 440 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^44 * R * S^-3 * R * S^41 ] R176.31 : Type {18,18}_10 Order 1800 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, R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2, S^5 * R^-9 * S * R^-3 ] R176.32 : Type {18,46}_414 Order 1656 mV = 23 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^46 ] R176.33 : Type {18,396}_44 Order 1584 mV = 396 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^-1 * S^6 * R^-5 * S^6, S^22 * R * S^-3 * R * S^19 ] R176.34 : Type {20,80}_80 Order 1600 mV = 16 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^-1 * S, S^20 * R * S^-4 * R * S^16 ] R176.35 : Type {20,80}_80 Order 1600 mV = 40 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^2 * R^9 * S^-4 * R * S^2 ] R176.36 : Type {20,80}_80 Order 1600 mV = 40 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^20 * R^-4 * S^2 * T * S^-2 * R * S * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^11 ] R176.37 : Type {24,34}_408 Order 1632 mV = 17 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^34 ] R176.38 : Type {28,56}_56 Order 1568 mV = 8 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^3 * S^-1 * R^19 * S^-1 * R * S^-1 * R * S^-1, S^14 * R^-1 * S^-7 * R * S^7 ] R176.39 : Type {28,56}_56 Order 1568 mV = 28 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^-1 * S * R^11 * S^-2 * R ] R176.40 : Type {28,56}_56 Order 1568 mV = 28 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^-14 * R^-4 * S^-3 * T * S * R^2 * S * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R176.41 : Type {34,374}_22 Order 1496 mV = 374 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^5 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^4, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R176.42 : Type {46,368}_16 Order 1472 mV = 368 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^11 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^10 ] R176.43 : Type {50,75}_30 Order 1500 mV = 15 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^7 * R^-8 * S^5 * R^-2 * S^3 ] R176.44 : Type {90,360}_8 Order 1440 mV = 360 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^-3 * R * S^4, R^51 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^13 ] R176.45 : Type {178,356}_4 Order 1424 mV = 356 mF = 89 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^139 * S^-4 * R^15 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^13 ] R176.46 : Type {353,706}_2 Order 1412 mV = 706 mF = 353 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^168 * R^-12 * S * T * R * S^-1 * T * R^-5 * S * R^-162 * S ] R176.47 : Type {354,354}_2 Order 1416 mV = 354 mF = 354 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^164 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-169 ] R176.48 : Type {704,704}_2 Order 1408 mV = 704 mF = 704 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^163 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-168 ] Genus 177 R177.1 : Type {4,15}_30 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^2 * R^-1 * S^-1 * R * S * R^-1 * S^3, S^-15 ] R177.2 : Type {4,48}_12 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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, S^5 * R^-1 * S * R * S^-1 * R^-2 * S^9 ] R177.3 : Type {4,48}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-6 * R^2 * S * R^-1 * S^5 ] R177.4 : Type {4,48}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^12 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^7 ] R177.5 : Type {4,48}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^12 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^7 ] R177.6 : Type {4,48}_24 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^-12 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-6 ] R177.7 : Type {4,48}_24 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^12 * R * S^-3 * R * S^9 ] R177.8 : Type {4,48}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^48 ] R177.9 : Type {4,48}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^12 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-4 * R * S^5 ] R177.10 : Type {4,48}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^12 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^8 ] R177.11 : Type {4,48}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^12 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^8 ] R177.12 : Type {4,48}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R177.13 : Type {4,48}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^48 ] R177.14 : Type {4,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^48 ] R177.15 : Type {4,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^48 ] R177.16 : Type {4,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^12 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^6 ] R177.17 : Type {4,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^12 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^7 ] R177.18 : Type {4,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^12 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^7 ] R177.19 : Type {4,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^12 * R * S^-5 * R * S^2 * R^-1 * S^-2 * R * S^3 ] R177.20 : Type {4,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^12 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^7 ] R177.21 : Type {4,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^7 ] R177.22 : Type {4,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^48 ] R177.23 : Type {4,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^-8 * R^-1 * S^4 * R * S^-1 * R * S^4 * R^-1 * S^-7 ] R177.24 : Type {4,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^48 ] R177.25 : Type {4,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^12 * R * S^-5 * R * S^7 ] R177.26 : Type {4,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^48 ] R177.27 : Type {4,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^12 * R * S^-3 * R * S^9 ] R177.28 : Type {4,92}_184 Order 2944 mV = 23 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^92 ] R177.29 : Type {4,180}_90 Order 2880 mV = 60 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^45 * R * S^-2 * R * S^43 ] R177.30 : Type {4,180}_180 Order 2880 mV = 45 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^180 ] R177.31 : Type {4,180}_180 Order 2880 mV = 60 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^180 ] R177.32 : Type {4,356}_356 Order 2848 mV = 178 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^356 ] R177.33 : Type {4,708}_354 Order 2832 mV = 708 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^177 * R^2 * S^177 ] R177.34 : Type {5,6}_6 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R * S^-1 * R * S^-1 * R^2 * S^3 * R^-2 * S * R^-1 ] R177.35 : Type {5,6}_24 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R177.36 : Type {6,14}_16 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S, S^14, S^-2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R177.37 : Type {6,14}_28 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-2 * S * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R177.38 : Type {8,10}_10 Order 2560 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, R * S^-1 * R * S^-2 * R^3 * S^2 * R^-1 * S^3 ] R177.39 : Type {8,10}_20 Order 2560 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S * R * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R * S ] R177.40 : Type {8,10}_20 Order 2560 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R^-1 * S^-5 * R^2 * S^5 * R^-1 ] R177.41 : Type {8,10}_20 Order 2560 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R^-1 * S^-5 * R^2 * S^5 * R^-1 ] R177.42 : Type {8,10}_20 Order 2560 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S ] R177.43 : Type {8,10}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R177.44 : Type {8,10}_40 Order 2560 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-5 * R^2 * S^5 * R ] R177.45 : Type {8,10}_40 Order 2560 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-5 * R^2 * S^5 * R ] R177.46 : Type {8,32}_4 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^8 * R^-4 * S^8 ] R177.47 : Type {8,32}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-7 * R * S^-1 * R^-2 * S^-1 * R * S^-7 ] R177.48 : Type {8,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^32 ] R177.49 : Type {8,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^32 ] R177.50 : Type {8,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-8 * R * S^2 * R^-2 * S * R^-1 * S^-5 ] R177.51 : Type {8,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^5 * R * S^-1 * R^-1 * S^2 * R * S^-7 * R^-1 * S ] R177.52 : Type {8,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R177.53 : Type {8,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^3 * S^4 * R^-1 * S^-1 ] R177.54 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^32 ] R177.55 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^32 ] R177.56 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^4 * R * S^-3 * R^-1 * S * R * S^-6 * R * S^2 ] R177.57 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R177.58 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^4 * R * S^-3 * R^-1 * S * R * S^-6 * R * S^2 ] R177.59 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R177.60 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^4 * R * S^-2 * R^-1 * S^2 * R * S^-5 * R * S^3 ] R177.61 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^-6 * R^-1 * S * R * S^-6 * R * S * R^-1 * S^-2 ] R177.62 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^-7 * R^2 * S^-1 * R^-1 * S^6 * R^-1 * S^-2 ] R177.63 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R177.64 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, S^-5 * R^-1 * S^2 * R * S^-1 * R * S^6 * R^-1 * S^-2 ] R177.65 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, S^-5 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-6 ] R177.66 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^4 * R * S^-3 * R^-1 * S * R * S^-6 * R * S^2 ] R177.67 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R177.68 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^-3 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R * S^-5 * R * S * R^-1 * S^-2 ] R177.69 : Type {8,32}_32 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^-1 * R^-1 * S^7 * R^3 * S^-8 ] R177.70 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R177.71 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^3 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] R177.72 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^6 * R * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] R177.73 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R177.74 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^32 ] R177.75 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^32 ] R177.76 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^-2 * S^5 * R * S^-2 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] R177.77 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-6 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R177.78 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R177.79 : Type {8,32}_32 Order 2048 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R^2 * S^5 ] R177.80 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, 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^32 ] R177.81 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R177.82 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R177.83 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^-5 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-6 ] R177.84 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^32 ] R177.85 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] R177.86 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^4 * R * S^-2 * R^2 * S^-2 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] R177.87 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R177.88 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^2 * S^-2 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] R177.89 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R177.90 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R177.91 : Type {8,32}_32 Order 2048 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R177.92 : Type {8,120}_30 Order 1920 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^15 * R * S^-2 * R * S^13 ] R177.93 : Type {8,120}_60 Order 1920 mV = 30 mF = 2 Defining relations for automorphism group: [ R^8, 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^30 * R^2 * S * R^-1 * S^-6 * R^-1 * S^23 ] R177.94 : Type {8,120}_60 Order 1920 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^15 * R^3 * S^-3 * R * S^12 ] R177.95 : Type {8,120}_120 Order 1920 mV = 30 mF = 2 Defining relations for automorphism group: [ R^8, 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^30 * R^3 * S^-2 * R * S^28 ] R177.96 : Type {8,120}_120 Order 1920 mV = 30 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^30 * R^2 * S^2 * R^-1 * S^-3 * R * S^25 ] R177.97 : Type {8,120}_120 Order 1920 mV = 30 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^120 ] R177.98 : Type {8,120}_120 Order 1920 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^30 * R^4 * S^30 ] R177.99 : Type {8,120}_120 Order 1920 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^30 * R * S^-2 * R * S^28 ] R177.100 : Type {8,120}_120 Order 1920 mV = 60 mF = 2 Defining relations for automorphism group: [ R^8, 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^30 * R * S^-1 * R * S^29 ] R177.101 : Type {8,120}_120 Order 1920 mV = 60 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^120 ] R177.102 : Type {8,472}_118 Order 1888 mV = 472 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^59 * R * S^-2 * R * S^57 ] R177.103 : Type {8,472}_236 Order 1888 mV = 472 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^59 * R^2 * S^59 ] R177.104 : Type {10,30}_12 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ] R177.105 : Type {10,30}_24 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (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, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R177.106 : Type {12,20}_4 Order 1920 mV = 2 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 ] R177.107 : Type {12,20}_8 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^12, (R * S^-1 * R^4)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R177.108 : Type {12,20}_8 Order 1920 mV = 2 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^12, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S ] R177.109 : Type {12,20}_8 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^3 * R^4 * S^3 * R^-2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R177.110 : Type {12,20}_8 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-2 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S^-1 ] R177.111 : Type {12,20}_10 Order 1920 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 * S^-1 * R^2 * S^3 * R^-1 * S ] R177.112 : Type {12,20}_20 Order 1920 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^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R177.113 : Type {12,20}_20 Order 1920 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, R * S^-1 * R^-1 * S^3 * R^2 * S^-6, (R * S^-3 * R * S^-2)^2 ] R177.114 : Type {12,20}_20 Order 1920 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^3 * S^2 * R^-2, (R * S^-4)^2, R^12 ] R177.115 : Type {12,20}_20 Order 1920 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 * R * S^-4 * R * S^5, R * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^2 ] R177.116 : Type {12,20}_60 Order 1920 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^20 ] R177.117 : Type {12,20}_120 Order 1920 mV = 5 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^20 ] R177.118 : Type {12,20}_120 Order 1920 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, (R * S^-1)^4, (R * S^-3)^2, R^12, S^20 ] R177.119 : Type {14,413}_118 Order 1652 mV = 413 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^-30 * R * S^5 * R^-1 * S^-24 ] R177.120 : Type {15,15}_4 Order 1920 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, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S * R^-1 * S^3 * R^-1, R^-15 ] R177.121 : Type {25,50}_4 Order 1600 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^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^11 * T * R^-14 * T ] R177.122 : Type {25,50}_8 Order 1600 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^3 * S^3 * R^-1, R^-1 * S^4 * R^-1 * S * R^-1 * S * R^-2 * S * R^-6 * S * R^-1 * S * R^-4 ] R177.123 : Type {32,96}_6 Order 1536 mV = 32 mF = 8 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^4 * R^-1 * S * R^-6 * S * R^-9 * S * R^-4 * S^3 * R^-1 ] R177.124 : Type {32,96}_6 Order 1536 mV = 32 mF = 8 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^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^9 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R177.125 : Type {32,96}_12 Order 1536 mV = 24 mF = 8 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^-4 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^4 * R^-2 ] R177.126 : Type {32,96}_12 Order 1536 mV = 24 mF = 8 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^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2, R^10 * S^-1 * R * S^-2 * R * S^-1 ] R177.127 : Type {32,96}_12 Order 1536 mV = 32 mF = 8 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R^2 * S^-1 * R^6 * S^-1 * R^2 * S^-4 ] R177.128 : Type {32,96}_12 Order 1536 mV = 32 mF = 8 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, R^9 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R177.129 : Type {32,96}_24 Order 1536 mV = 24 mF = 8 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^4 * S^-7 ] R177.130 : Type {32,96}_24 Order 1536 mV = 24 mF = 8 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^-6 * R^-3 * S^4 * R^-1 * S^-2, R^10 * S^-1 * R * S^-2 * R * S^-1 ] R177.131 : Type {32,96}_24 Order 1536 mV = 24 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 * R^-1 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-3 * S, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R177.132 : Type {32,96}_24 Order 1536 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^13 * S^-1 * R * S^-1, S^12 * R^3 * S^-2 * R * S^10 ] R177.133 : Type {32,96}_24 Order 1536 mV = 48 mF = 8 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^-5 * R * S^6, R^-4 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^4 * R^-2 ] R177.134 : Type {32,96}_24 Order 1536 mV = 48 mF = 8 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^2 * S^-1 * R^2 * S^-7 ] R177.135 : Type {32,96}_48 Order 1536 mV = 24 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 * R^-1 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-3 * S, S^12 * R * S^-3 * R * S^9 ] R177.136 : Type {32,96}_48 Order 1536 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^13 * S^-1 * R * S^-1, S^12 * R * S^-3 * R * S^9 ] R177.137 : Type {32,96}_48 Order 1536 mV = 48 mF = 8 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^-5 * R * S^6, R^11 * S^-1 * R^3 * S^-1 ] R177.138 : Type {32,96}_48 Order 1536 mV = 48 mF = 8 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^11 * S^-1 * R^3 * S^-1, S^6 * R^7 * S^-2 * R * S^4 ] R177.139 : Type {48,48}_4 Order 1536 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^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R * S^-1 * R * S^-3 * R * S^-4 * R^7 * S^-1 * R^3 * S^-2 ] R177.140 : Type {48,48}_4 Order 1536 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^-1 * S * R^-1, R^-33 * S^2 * R^-10 * S^2 * R^-1 ] R177.141 : Type {48,48}_4 Order 1536 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 * S^-1 * R^2 * S^-6 * R * S^-1 * R * S^-3 * R^8 * S^-2 * R * S^-2 * R^16 * S^-1 * R^2 ] R177.142 : Type {48,48}_4 Order 1536 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^6 * S * R^-1 * S^2 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R^-1 * S^3 * R^-1 * T * R^2 * S^-2 * R^8 * S^-1 * T * S^2 * R^-2 * S ] R177.143 : Type {48,48}_4 Order 1536 mV = 8 mF = 8 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 ] R177.144 : Type {48,48}_4 Order 1536 mV = 8 mF = 8 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^-1 * S * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-8 * S^4 * R^-1 ] R177.145 : Type {48,48}_4 Order 1536 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, R^-3 * S^22 * R^-15 * S * R^-1 * S * R^-1 * S^2 * R^-2 ] R177.146 : Type {48,48}_4 Order 1536 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^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S^3 * R^-2 * S^6 * R^-6 * S^3 * R^-2 ] R177.147 : Type {48,48}_4 Order 1536 mV = 12 mF = 12 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^3 * S^-2 * R^11 * S^-2 * R^3 * S^-1 * R * S^-1 ] R177.148 : Type {48,48}_8 Order 1536 mV = 8 mF = 8 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, S * R * S^-2 * R^3 * S^3 * R^-2, S^3 * R^-2 * S * R^-1 * S * R^-1 * S * R^-2 * S * R^-4 * S * R^-2 * S^2 * R^-2 ] R177.149 : Type {48,48}_8 Order 1536 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 * R^-1 * S^2, S * R^6 * S^5, S^2 * R^-1 * S * R^-2 * S^2 * R^-3 * S * R^-5 * S * R^-3 * S * R^-2 ] R177.150 : Type {48,48}_8 Order 1536 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, S^2 * R^-1 * S * R^-4 * S^3 * R^-7 * S * R^-4 * S ] R177.151 : Type {48,48}_8 Order 1536 mV = 8 mF = 8 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^-1 * S^5 * R^-1 * S^3 * R^-8 * S * R^-1 * S^3 * R^-1 ] R177.152 : Type {48,48}_8 Order 1536 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^-31 * S * R^-3 * S * R^-10 * S^2 ] R177.153 : Type {48,48}_8 Order 1536 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, S * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-6 * S * R^-4 * S ] R177.154 : Type {48,48}_8 Order 1536 mV = 8 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R^4 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S^4 * R^-1 ] R177.155 : Type {48,48}_8 Order 1536 mV = 8 mF = 8 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, S * R^6 * S * R^-1 * S^2 * R^-1, S * R^-3 * S * R^-4 * S * R^-6 * S^2 * R^-1 * S * R^-2 * S^2 ] R177.156 : Type {48,48}_8 Order 1536 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^2 * R^-15 * S * R^-2 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-8 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 ] R177.157 : Type {48,48}_8 Order 1536 mV = 12 mF = 12 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^-1 * S^2 * R^-10 * S^3 * R^-2 * S * R^-2 ] R177.158 : Type {48,48}_8 Order 1536 mV = 12 mF = 12 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^-1 * S^2 * R^-12 * S * R^-2 * S^3 ] R177.159 : Type {48,48}_8 Order 1536 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^-1 * S^8 * R^-6 * S * R^-1 * S * R^-3 * S * R^-1 * S * R^-7 * S * R^-2 * S^3 * R^-1 * S^3 * R^-2 * S * R^-4 ] R177.160 : Type {48,48}_8 Order 1536 mV = 12 mF = 12 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, S * R^-1 * S * R^-1 * S^2 * R^-10 * S^3 * R^-2 * S^3 ] R177.161 : Type {48,48}_8 Order 1536 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, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-3 * S * R^-5 * S * R^-2 ] R177.162 : Type {48,48}_8 Order 1536 mV = 12 mF = 12 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, S^2 * R^-2 * S^7 * R^-9 * S^2 * R^-1 * S ] R177.163 : Type {48,48}_8 Order 1536 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^3 * S * R^-2 * S, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-2 * S * R^-2 * S^2 * R^-1 * S^2 * R^-10 * S * R^-3 ] R177.164 : Type {48,48}_8 Order 1536 mV = 12 mF = 12 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^-1 * S * R^-2 * S^2 * R^-1 * S^2 * R^-7 * S * R^-3 * S * R^-2 * S ] R177.165 : Type {48,48}_8 Order 1536 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, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-5 * S^2 * R^-1 * S * R^-1 * S^2 * R^-2 ] R177.166 : Type {48,48}_8 Order 1536 mV = 12 mF = 12 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, R^-1 * S^3 * R^-3 * S^2 * R^-1 * S * R^-7 * S * R^-1 * S^3 * R^-1 ] R177.167 : Type {48,48}_8 Order 1536 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, R^28 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-2 ] R177.168 : Type {48,48}_8 Order 1536 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^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-4 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-6 * S * R^-5 ] R177.169 : Type {48,48}_16 Order 1536 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 * S^-3 * R * S^4, S * R^6 * S * R^-2 * S^2, S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-4 * R^15 * S^-1 * R^3 * S^-4 * R^2 * S^-2 ] R177.170 : Type {48,48}_16 Order 1536 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 * S^-3 * R * S^4, R * S^-1 * R^-9 * S^-1 * R^6, S^-2 * R^9 * S^-1 * R^2 * S^-3 * R * S^-6 ] R177.171 : Type {48,48}_16 Order 1536 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, R * S^-1 * R^-7 * S^7 ] R177.172 : Type {48,48}_16 Order 1536 mV = 12 mF = 24 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 * S^-7 * R * S^7 ] R177.173 : Type {48,48}_16 Order 1536 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 * S^2, R * S^-1 * R^-9 * S^-1 * R^6, S^10 * R^-6 * S * R^-8 * S * R^-5 * S * R^-5 * S^9 * R^-2 ] R177.174 : Type {48,48}_16 Order 1536 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 * S^-3 * R * S^4, R * S^-1 * R^-9 * S^-1 * R^6, R^-2 * S^3 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S ] R177.175 : Type {48,48}_16 Order 1536 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^8 * R * S^-1 * R * S^7, R^-15 * S^-1 * R * S^-1 ] R177.176 : Type {92,92}_4 Order 1472 mV = 23 mF = 23 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^-61 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S * R^-2 * S * R^-1 * S^3 ] R177.177 : Type {180,180}_4 Order 1440 mV = 60 mF = 60 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^72 * S^-3 * R^10 * S^-2 * R * S^-2 ] R177.178 : Type {180,180}_4 Order 1440 mV = 60 mF = 60 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^128 * R^-1 * S * R^-14 * S^2 * R^-31 * S ] R177.179 : Type {180,180}_4 Order 1440 mV = 90 mF = 90 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^128 * R^-12 * S^2 * R^-1 * S^2 * R^-1 * S * T * R * S^-1 * R^8 * S^-1 * R * T * R^-2 * S * R^-1 * S * R^-1 * S * R^-13 ] R177.180 : Type {238,357}_6 Order 1428 mV = 357 mF = 119 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^78 * S^-4 * R^2 * S^-2 * R^15 * S^-1 * R * S^-1 * R^12 * S^-1 ] R177.181 : Type {355,710}_2 Order 1420 mV = 710 mF = 355 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^169 * R^-12 * S * T * R * S^-1 * T * R^-5 * S * R^-164 ] R177.182 : Type {356,356}_2 Order 1424 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^165 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-169 * R ] R177.183 : Type {708,708}_2 Order 1416 mV = 708 mF = 708 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^164 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-168 * R ] Genus 178 R178.1 : Type {4,358}_716 Order 2864 mV = 179 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^358 ] R178.2 : Type {4,712}_712 Order 2848 mV = 712 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^178 * R^2 * S^178 ] R178.3 : Type {6,180}_180 Order 2160 mV = 60 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^180 ] R178.4 : Type {6,180}_180 Order 2160 mV = 90 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^180 ] R178.5 : Type {6,534}_178 Order 2136 mV = 534 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^89 * R * S^-1 * R * S^88 ] R178.6 : Type {8,42}_56 Order 2016 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-3 * R^-1 * S * R * S^-3 * R^2 * S^-7 ] R178.7 : Type {10,445}_178 Order 1780 mV = 445 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-45 * R * S^2 * R^-1 * S^-42 ] R178.8 : Type {12,144}_144 Order 1728 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^36 * R * S^-2 * R * S^34 ] R178.9 : Type {12,144}_144 Order 1728 mV = 72 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 * R^-2 * S^4 * T * S^-1 * R^-4 * T * S^31 ] R178.10 : Type {20,35}_8 Order 1680 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-1 * R * S^-1 * R, R * S^-1 * R * S^-1 * R^-3 * S^6 ] R178.11 : Type {30,78}_130 Order 1560 mV = 39 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^13 * R * S^-3 * R * S^10 ] R178.12 : Type {42,126}_18 Order 1512 mV = 42 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^9 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^8 ] R178.13 : Type {42,126}_18 Order 1512 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^2 * S^2 * R^-1, R^9 * S^-1 * R^3 * S^-1, S^9 * R * S^-1 * R * S^8 ] R178.14 : Type {180,360}_8 Order 1440 mV = 360 mF = 90 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^48 * S^-4 * R * S^-4 * R^14 * S^-1 * R * S^-1 * R^12 * S^-1 ] R178.15 : Type {357,714}_2 Order 1428 mV = 714 mF = 357 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^170 * R^-12 * S * T * R * S^-1 * T * R^-5 * S * R^-164 * S ] R178.16 : Type {358,358}_2 Order 1432 mV = 358 mF = 358 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^166 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-171 ] R178.17 : Type {712,712}_2 Order 1424 mV = 712 mF = 712 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^165 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-170 ] Genus 179 R179.1 : Type {4,360}_360 Order 2880 mV = 180 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^90 * R * S^-1 * R * S^89 ] R179.2 : Type {4,360}_360 Order 2880 mV = 180 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^360 ] R179.3 : Type {4,716}_358 Order 2864 mV = 716 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^179 * R^2 * S^179 ] R179.4 : Type {6,92}_138 Order 2208 mV = 23 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^23 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^19 ] R179.5 : Type {6,537}_358 Order 2148 mV = 537 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-90 * R * S * R^-1 * S^-88 ] R179.6 : Type {8,240}_240 Order 1920 mV = 120 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^60 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^55 ] R179.7 : Type {8,240}_240 Order 1920 mV = 120 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^60 * R * S^-1 * R * S^59 ] R179.8 : Type {16,104}_208 Order 1664 mV = 52 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 * R^-3 * S^-3 * T * S^2 * R^-4 * T * S^-2 * R * S^19 ] R179.9 : Type {16,104}_208 Order 1664 mV = 52 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^26 * R * S^-1 * R * S^25 ] R179.10 : Type {36,44}_198 Order 1584 mV = 22 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * R^-1 * S^-2 * T * S^4 * T * R^-1 * S * R^13 * S^-1 * T * S^4 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R179.11 : Type {92,184}_8 Order 1472 mV = 92 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^5 * S * R^-3, R * S^-1 * R^40 * S^-11 * R^4 * S^-1 * R * S^-1 * R^13 * S^-1 * R^6 * S^-11 * R ] R179.12 : Type {92,184}_8 Order 1472 mV = 92 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, S^40 * R^-14 * S * R^-1 * S * R^-2 * S * T * R * S^-1 * R^8 * S^-1 * R * T * S * R^-3 * S * R^-1 * S * R^-13 ] R179.13 : Type {359,718}_2 Order 1436 mV = 718 mF = 359 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^343 * T * S * R^-1 * T * S^-1 * R^9 * S^-1 * T * R^-2 * S * T ] R179.14 : Type {360,360}_2 Order 1440 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^169 * S^-1 * R^5 * T * R^-2 * T * R^13 * S^-169 * R ] R179.15 : Type {360,360}_4 Order 1440 mV = 360 mF = 360 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^129 * R^-12 * S^2 * R^-1 * S^2 * R^-1 * S * T * R * S^-1 * R^8 * S^-1 * R * T * R^-2 * S * R^-1 * S * R^-1 * S * R^-12 * S ] R179.16 : Type {716,716}_2 Order 1432 mV = 716 mF = 716 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^166 * S^-1 * R^5 * T * S * R^-1 * T * S^-1 * R^12 * S^-170 * R ] Genus 180 R180.1 : Type {4,183}_366 Order 2928 mV = 61 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-183 ] R180.2 : Type {4,362}_724 Order 2896 mV = 181 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^362 ] R180.3 : Type {4,720}_720 Order 2880 mV = 720 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^180 * R^2 * S^180 ] R180.4 : Type {6,182}_546 Order 2184 mV = 91 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^182 ] R180.5 : Type {8,122}_488 Order 1952 mV = 61 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^122 ] R180.6 : Type {10,92}_460 Order 1840 mV = 46 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^92 ] R180.7 : Type {12,74}_444 Order 1776 mV = 37 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^74 ] R180.8 : Type {14,62}_434 Order 1736 mV = 31 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^62 ] R180.9 : Type {14,420}_60 Order 1680 mV = 420 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^30 * R * S^-1 * R * S^29 ] R180.10 : Type {20,42}_420 Order 1680 mV = 21 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^42 ] R180.11 : Type {22,38}_418 Order 1672 mV = 19 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^38 ] R180.12 : Type {22,396}_36 Order 1584 mV = 396 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^-1 * S, S^18 * R^-1 * S^-7 * R * S^11 ] R180.13 : Type {26,32}_416 Order 1664 mV = 16 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^32 ] R180.14 : Type {26,390}_30 Order 1560 mV = 390 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^15 * R * S^-1 * R * S^14 ] R180.15 : Type {30,130}_78 Order 1560 mV = 65 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^13 * R^-3 * S^-3 * R * S^2 * R^2 * S^8 ] R180.16 : Type {38,380}_20 Order 1520 mV = 380 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^9 * R^-1 * S^-9, R^7 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^6 ] R180.17 : Type {39,65}_10 Order 1560 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^-4 * R * S^5, S * R^-1 * S * R^-4 * S * R^-1 * S * R^-1 * S * R^-1, S^3 * R^-4 * S^4 * R^-1 * S ] R180.18 : Type {62,372}_12 Order 1488 mV = 372 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-13 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R180.19 : Type {74,370}_10 Order 1480 mV = 370 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, R^-1 * S^20 * R^-13 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R180.20 : Type {82,369}_18 Order 1476 mV = 369 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-6 * R * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^6 * S^-3 ] R180.21 : Type {92,368}_16 Order 1472 mV = 368 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^-6 * R^3 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^10 * S^-2 ] R180.22 : Type {93,124}_6 Order 1488 mV = 31 mF = 31 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, S^4 * R^-1 * S * R^-2 * S * R^-1 * S * R^-11 * S^2 * R^-2 * S^2 * R^-2 * S ] R180.23 : Type {122,366}_6 Order 1464 mV = 366 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, R^84 * S^-1 * R * S^-2 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^13 ] R180.24 : Type {146,365}_10 Order 1460 mV = 365 mF = 73 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^31 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^12 * S^-1 ] R180.25 : Type {182,364}_4 Order 1456 mV = 364 mF = 91 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^144 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^13 ] R180.26 : Type {183,183}_4 Order 1464 mV = 61 mF = 61 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^32 * S^-2 * R^14 * S^-1 * R * S^-129 * R^2 ] R180.27 : Type {242,363}_6 Order 1452 mV = 363 mF = 121 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^81 * S^-1 * R * S^-2 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^12 * S^-1 ] R180.28 : Type {361,722}_2 Order 1444 mV = 722 mF = 361 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^170 * R^-13 * T * R^2 * T * R^-5 * S * R^-168 * S ] R180.29 : Type {362,362}_2 Order 1448 mV = 362 mF = 362 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^170 * S^-1 * R^5 * T * R^-2 * T * R^13 * S^-171 ] R180.30 : Type {720,720}_2 Order 1440 mV = 720 mF = 720 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^169 * S^-1 * R^5 * T * R^-2 * T * R^13 * S^-170 ] Genus 181 R181.1 : Type {3,8}_30 Order 17280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * 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 ] R181.2 : Type {3,36}_12 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, (S * R^-1 * S)^6, S^-12 * R^-1 * S^11 * R^-1 * S^-1 ] R181.3 : Type {4,6}_20 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^3 * R^2 * S^-2 * R * S^-1 ] R181.4 : Type {4,6}_24 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, R^-1 * S * R * S^-1 * R^-2 * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^2, R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R181.5 : Type {4,6}_24 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, R^-1 * S * R * S^-1 * R^-2 * S^-3 * R^-1 * 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^-1)^2 ] R181.6 : Type {4,8}_6 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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^-4 * R * S^-2 * R * S^4 * R * S^-2 ] R181.7 : Type {4,8}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, R * S^-4 * R * S^-2 * R * S^4 * R * S^-2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] R181.8 : Type {4,8}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R181.9 : Type {4,8}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, R * S^-4 * R * S^-2 * R * S^4 * R * S^-2, R^-1 * S^-4 * R * S^-2 * R^-1 * S * R^-1 * S^4 * R^2 * S ] R181.10 : Type {4,8}_10 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^-1 * S * R^2 * S^4 * R^2 * S ] R181.11 : Type {4,8}_10 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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^-1 * S^-4 * R^-1 * S * R * S^-2 * R * S^4 * R^2 * S^3 ] R181.12 : Type {4,8}_12 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S * R^-1, R * S^-4 * R * S^-2 * R * S^4 * R * S^-2 ] R181.13 : Type {4,8}_12 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S^-4 * R * S^-1 * R * S^4 * R^2 * S^-2 ] R181.14 : Type {4,8}_20 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R * S^-2 * R * S^4 * R * S^-2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R181.15 : Type {4,8}_20 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, R * S^-4 * R * S^-2 * R * S^4 * R * S^-2 ] R181.16 : Type {4,8}_20 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-1 * S^2 * R^-1 * S * R^2 * S * R^-1 * S^2 * R^-1 * S, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S ] R181.17 : Type {4,8}_20 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3, S * R^-2 * S^-4 * R^-1 * S^2 * R^-1 * S^4 * R^2 * S * R^-1 * S^-1 * R * S ] R181.18 : Type {4,10}_60 Order 4800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, (R * S^-1)^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R181.19 : Type {4,12}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S ] R181.20 : Type {4,24}_6 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1 ] R181.21 : Type {4,24}_6 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-3 ] R181.22 : Type {4,24}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-6 ] R181.23 : Type {4,24}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R181.24 : Type {4,24}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, R * S^-5 * R^-1 * S^4 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R181.25 : Type {4,24}_12 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S * R^-1 * S^-3, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3, 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 ] R181.26 : Type {4,24}_12 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2 * R * S^-2 * R * S^-1)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 ] R181.27 : Type {4,24}_12 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R181.28 : Type {4,24}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^24 ] R181.29 : Type {4,24}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1 ] R181.30 : Type {4,24}_24 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2 * R * S^-2 * R * S^-1)^2, S^-2 * R^-1 * S * R * S^-1 * 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 ] R181.31 : Type {4,24}_24 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^24 ] R181.32 : Type {4,40}_4 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S^7 * R^-1 * S * R^-1 * S * R^-1 * S^7 ] R181.33 : Type {4,40}_8 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, S^-9 * R * S^-1 * R^-2 * S^-1 * R * S^-9 ] R181.34 : Type {4,44}_132 Order 3168 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^44 ] R181.35 : Type {4,84}_42 Order 3024 mV = 21 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^21 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^16 ] R181.36 : Type {4,84}_42 Order 3024 mV = 21 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] R181.37 : Type {4,184}_92 Order 2944 mV = 46 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^46 * R^2 * S * R^-1 * S^-1 * R * S^44 ] R181.38 : Type {4,184}_184 Order 2944 mV = 46 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^184 ] R181.39 : Type {4,364}_364 Order 2912 mV = 182 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^364 ] R181.40 : Type {4,724}_362 Order 2896 mV = 724 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^181 * R^2 * S^181 ] R181.41 : Type {5,20}_10 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (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^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1 ] R181.42 : Type {6,6}_6 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R ] R181.43 : Type {6,6}_6 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R^-1 * S^-3 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 ] R181.44 : Type {6,6}_10 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2)^4, R * S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^-2 * R^2 * S^-2 ] R181.45 : Type {6,6}_10 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2)^4, R * S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^3 * R^3 * S^-2 ] R181.46 : Type {6,8}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R)^4, R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1 ] R181.47 : Type {6,8}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1 ] R181.48 : Type {6,12}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S^2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S, (S^3 * R^-1 * S^2)^2, S * R * S^-1 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S * R^-1 ] R181.49 : Type {6,12}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-2 ] R181.50 : Type {6,12}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R181.51 : Type {6,12}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R^-1 * S^2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S, (R * S^-2)^4 ] R181.52 : Type {6,12}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1 ] R181.53 : Type {6,12}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^12 ] R181.54 : Type {6,12}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^12 ] R181.55 : Type {6,12}_20 Order 2880 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1 ] R181.56 : Type {6,12}_60 Order 2880 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^12 ] R181.57 : Type {6,18}_4 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, 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 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-4 * S^-1 * R^2 * S^-1 * R^2 * S^-1 ] R181.58 : Type {6,18}_12 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^4 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S ] R181.59 : Type {6,18}_12 Order 2592 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-5 * R * S^6, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R181.60 : Type {6,18}_12 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, (R * S^-1)^6, R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ] R181.61 : Type {6,18}_12 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R)^6 ] R181.62 : Type {6,18}_36 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^18 ] R181.63 : Type {6,18}_36 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * 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^18 ] R181.64 : Type {6,18}_36 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^2 * S^2 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R181.65 : Type {6,30}_30 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^-2 * R^2 * S^-2 * R^2 * S^-6 ] R181.66 : Type {6,48}_24 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^-2, S^7 * R * S^-7 * R * S^2 ] R181.67 : Type {6,48}_48 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^2 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R181.68 : Type {6,48}_48 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S * R * S^-6 * R^2 * S^-1 * R * S * R^-2 * S^7 ] R181.69 : Type {6,48}_48 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, 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 ] R181.70 : Type {6,48}_48 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^7 * R * S^-7 * R * S^2 ] R181.71 : Type {6,48}_48 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^48 ] R181.72 : Type {6,48}_48 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^12 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^7 ] R181.73 : Type {6,48}_48 Order 2304 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^12 * R * S^-2 * R * S^10 ] R181.74 : Type {6,48}_48 Order 2304 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^48 ] R181.75 : Type {6,63}_42 Order 2268 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^10 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^8 ] R181.76 : Type {6,63}_42 Order 2268 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^-11 * R * S^6 * R^-1 * S^-4 ] R181.77 : Type {6,63}_126 Order 2268 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-63 ] R181.78 : Type {6,63}_126 Order 2268 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^10 * R * S^-1 * R^-1 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R181.79 : Type {6,138}_92 Order 2208 mV = 46 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^23 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^17 ] R181.80 : Type {6,183}_366 Order 2196 mV = 61 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-183 ] R181.81 : Type {6,543}_362 Order 2172 mV = 543 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-91 * R^2 * S^-90 ] R181.82 : Type {8,8}_4 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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 * R)^4, (S^-1 * R^2 * S^-1)^3, R * S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-2 * R^2 ] R181.83 : Type {8,8}_4 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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 ] R181.84 : Type {8,8}_4 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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^-2 * S * R^3 * S * R^-2 * S^-2, (R * S^-1 * R)^4 ] R181.85 : Type {8,8}_8 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R^2)^2, S^-1 * R^-3 * S * R^3 * S^4 * R^2, S^-1 * R^-3 * S * R * S^-1 * R * S^4 * R * S^-1 ] R181.86 : Type {8,8}_8 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R^3 * S^-1)^3, (R * S^-3 * R^2)^2 ] R181.87 : Type {8,8}_8 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R^2)^2, (R * S^-1 * R)^4, S^2 * R^-3 * S * R^2 * S^4 * R^-2 ] R181.88 : Type {8,8}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R181.89 : Type {8,8}_10 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, (R * S^-3 * R^2)^2 ] R181.90 : Type {8,8}_10 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ] R181.91 : Type {8,8}_10 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, (R * S^-3 * R^2)^2 ] R181.92 : Type {8,8}_10 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S * R^-3 * S * R^4 * S * R^-3 * S, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R181.93 : Type {8,8}_10 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R^2 * S^-1 * R^-3 * S^-1 * R * S * R^-3 * S ] R181.94 : Type {8,8}_10 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-3 * R^2)^2 ] R181.95 : Type {8,16}_48 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R181.96 : Type {8,16}_48 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ] R181.97 : Type {8,16}_48 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^16 ] R181.98 : Type {8,16}_48 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-2 * R^2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 ] R181.99 : Type {8,16}_48 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-2 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R181.100 : Type {8,16}_48 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R181.101 : Type {8,16}_48 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^6, S^16 ] R181.102 : Type {8,16}_48 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R181.103 : Type {8,56}_42 Order 2016 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, R * S^-1 * R^-1 * S^5 * R * S^-1 * R^-2 * S^-5 * R * S^2 ] R181.104 : Type {8,56}_84 Order 2016 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, R * S^-5 * R^-1 * S * R^-2 * S * R^-1 * S^-5 * R * S^2 ] R181.105 : Type {10,10}_6 Order 2400 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R181.106 : Type {10,10}_30 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2 ] R181.107 : Type {10,40}_24 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S * R * S^-2 * R^4 * S^-2 * R * S^3 ] R181.108 : Type {10,40}_24 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-3 * R^4 * S * R^-1 * S * R^-1 * S^-1 ] R181.109 : Type {12,24}_24 Order 1920 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^12, (R * S^-1 * R^4)^2, (R * S^-5)^2, R * S^-3 * R^4 * S^-3 * R * S^2 ] R181.110 : Type {12,24}_24 Order 1920 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^4 * S^2 * R^-2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R181.111 : Type {14,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^5 * S * R^-2 * S * R^-1 ] R181.112 : Type {16,28}_112 Order 1792 mV = 7 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^28 ] R181.113 : Type {16,28}_112 Order 1792 mV = 7 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^16, S^28 ] R181.114 : Type {16,48}_6 Order 1728 mV = 12 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^3 * S^2 * R^-1 * S^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R * S^-1 * R^11 * S^-1 * R^2 ] R181.115 : Type {16,48}_6 Order 1728 mV = 12 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^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^16 ] R181.116 : Type {16,48}_12 Order 1728 mV = 12 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^-3 * R * S^4, R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R181.117 : Type {16,48}_12 Order 1728 mV = 12 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^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R181.118 : Type {16,208}_52 Order 1664 mV = 104 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^26 * R * S^-5 * R * S^21 ] R181.119 : Type {16,208}_52 Order 1664 mV = 104 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^16, S^26 * R * S^-1 * R * S^25 ] R181.120 : Type {16,208}_104 Order 1664 mV = 104 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^16, S^26 * R * S^-5 * R * S^21 ] R181.121 : Type {16,208}_104 Order 1664 mV = 104 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^26 * R * S^-1 * R * S^25 ] R181.122 : Type {18,36}_12 Order 1728 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^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^7 * S * R^-5, S^3 * T * R^5 * S^-1 * R^2 * S^-1 * R^3 * T * S^3 ] R181.123 : Type {18,36}_12 Order 1728 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^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, S * R^7 * S * R^-5, R^-1 * S^2 * T * R^2 * S^-2 * R * S^-1 * R^2 * S^-1 * R^3 * S^-1 * T * S * R^-1 ] R181.124 : Type {18,36}_12 Order 1728 mV = 12 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-2 * S * T * S^-1 * R * S^-2 * R^4 * S^-2 * R * S^-1 * T * S * R^-2 ] R181.125 : Type {18,36}_24 Order 1728 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 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S^3 * R^-1 * S * R^-6 * S * R^-1 * S * R^-1 * S^2 ] R181.126 : Type {18,36}_24 Order 1728 mV = 12 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^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^2 * R^-4 * S^2 * R^-2 * S * R^-3 * S * R^-1 * S^2 ] R181.127 : Type {24,24}_4 Order 1728 mV = 4 mF = 6 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, S * R^-1 * S * R^-1 * S * R^3 * S^3 * R^-1 * S^2 ] R181.128 : Type {24,24}_4 Order 1728 mV = 6 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^-3)^2, (R * S^-1 * R^4)^2 ] R181.129 : Type {24,24}_4 Order 1728 mV = 6 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, R * S^-4 * R * S^-1 * R^9 * S^-2 * R^3 * S^-1 * R^2 ] R181.130 : Type {24,24}_4 Order 1728 mV = 6 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R^4)^2 ] R181.131 : Type {24,24}_12 Order 1728 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^7 * S * R^-5, S * R * S^-5 * R * S^6 ] R181.132 : Type {24,24}_12 Order 1728 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 * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-1 * S^5 * R^11 * S^-7 ] R181.133 : Type {24,24}_12 Order 1728 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^7 * S * R^-5, S * R * S^-5 * R * S^6, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-12 ] R181.134 : Type {24,24}_12 Order 1728 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, (R * S^-1 * R^4)^2, S^-1 * R^-1 * S^5 * R^6 * S * R^-1 * S^-4 * R^-3 * S * R ] R181.135 : Type {24,24}_12 Order 1728 mV = 4 mF = 4 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^7 * S * R^-5, S * R^-1 * S * R^-2 * S * R^-4 * S * R^-6 * S * R^-3 * S^3 ] R181.136 : Type {24,24}_12 Order 1728 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (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 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, R^-1 * S^2 * R^-9 * S^-1 * R * S * R^-1 ] R181.137 : Type {24,24}_12 Order 1728 mV = 4 mF = 6 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, S^3 * R^-1 * S * R^3 * S * R^-1 * S^3 * R^-1 ] R181.138 : Type {24,24}_12 Order 1728 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^2 * S^2 * R^-1 * S^-3, R^-1 * S * R * S^-1 * R^-10 * S^-2 ] R181.139 : Type {24,24}_12 Order 1728 mV = 6 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^-3)^2, (R * S^-1 * R^4)^2 ] R181.140 : Type {24,24}_12 Order 1728 mV = 6 mF = 4 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, (R * S^-1 * R^4)^2, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ] R181.141 : Type {24,24}_12 Order 1728 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^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R181.142 : Type {24,24}_12 Order 1728 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, (R * S^-1)^6 ] R181.143 : Type {24,24}_12 Order 1728 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-8 * S^2 * R^-1 * S^3 ] R181.144 : Type {24,24}_12 Order 1728 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)^6 ] R181.145 : Type {24,24}_24 Order 1728 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^5 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S * R^-1 * S^3, R^-2 * S^2 * R^3 * S^2 * R^-2 * S ] R181.146 : Type {24,24}_24 Order 1728 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^5 * S^-1 * R * S^3 ] R181.147 : Type {30,45}_6 Order 1620 mV = 15 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 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, R^-8 * S * R^-2 * S * R^-2 * S ] R181.148 : Type {30,45}_6 Order 1620 mV = 15 mF = 5 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, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-8 * S * R^-2 * S * R^-2 * S ] R181.149 : Type {30,45}_18 Order 1620 mV = 15 mF = 5 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^2 * R^-6 * S^7 ] R181.150 : Type {30,45}_18 Order 1620 mV = 15 mF = 5 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^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^2 * R^-6 * S^7 ] R181.151 : Type {33,66}_12 Order 1584 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^-1 * S * R^-1 * S^6 * R^-1 * S * R^-1 * S^3 * R^-8 * S * R^-1 * S * R^-2 * S^4 ] R181.152 : Type {40,40}_20 Order 1600 mV = 20 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^-1 * S * R^11 * S * R^-8, S^6 * R^-6 * S * R^-8 * S * R^-5 * S * R^-5 * S^5 * R^-2 ] R181.153 : Type {40,40}_20 Order 1600 mV = 20 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 * S^-1 * T * S * R^-2 * S * R^-4 * S * R^-2 * S * T * S^-4, R^14 * S^-2 * R * S^2 * R^5 ] R181.154 : Type {40,40}_20 Order 1600 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^15 * S * R^-1 * S * R^4, S^10 * R * S^-1 * R * S^9 ] R181.155 : Type {40,40}_20 Order 1600 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * T * S^4 * T * R^-1 * S * R^13 * S^-1 * T * S^4 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S ] R181.156 : Type {44,44}_6 Order 1584 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^15 * R^-1 * S * R^-2 * S^3 * R^-1 * S^2 * R^-8 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S ] R181.157 : Type {48,96}_32 Order 1536 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^7 * R^-8 * S^9 ] R181.158 : Type {48,96}_32 Order 1536 mV = 24 mF = 24 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^-1 * S^5 * R^2 * S^3 * R^-1 * S^-5, R^-2 * S^3 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-1 * S * R^-1 * S ] R181.159 : Type {48,96}_32 Order 1536 mV = 48 mF = 24 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^8 * R * S^-1 * R * S^7 ] R181.160 : Type {48,96}_32 Order 1536 mV = 48 mF = 24 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^-4 * R^-1 * S^4 * R^-5 * S^-3 * R * S^2 * R * S^-3 ] R181.161 : Type {75,150}_10 Order 1500 mV = 75 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^6 * S * R^-4, R^21 * S^-1 * R^4 * S^-10 * R^5 * S^-2 * R^12 * S^-3 * R^5 * S^-12 ] R181.162 : Type {84,84}_6 Order 1512 mV = 21 mF = 21 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-1 * R^6 * S^-3 * R^2 * S^-1 ] R181.163 : Type {84,84}_6 Order 1512 mV = 21 mF = 21 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^13 * R^-1 * S * R^-3 * S^3 * R^-1 * S^2 * R^-7 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S^2 * R^-1 ] R181.164 : Type {93,186}_4 Order 1488 mV = 62 mF = 31 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^74 * S^-3 * R^11 * S^-3 * R^2 ] R181.165 : Type {123,246}_6 Order 1476 mV = 123 mF = 41 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^72 * S^-11 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-11 * R ] R181.166 : Type {184,184}_4 Order 1472 mV = 92 mF = 92 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^146 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^13 ] R181.167 : Type {184,184}_4 Order 1472 mV = 92 mF = 92 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^-61 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S * R^-2 * S * R^-1 * S^2 * R^-1 ] R181.168 : Type {363,726}_2 Order 1452 mV = 726 mF = 363 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^347 * T * R^-2 * T * R^11 * T * S * R^-1 * S * T ] R181.169 : Type {364,364}_2 Order 1456 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^-1 * S^341 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S^2 ] R181.170 : Type {724,724}_2 Order 1448 mV = 724 mF = 724 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^170 * S^-1 * R^5 * T * R^-2 * T * R^13 * S^-170 * R ] Genus 182 R182.1 : Type {4,366}_732 Order 2928 mV = 183 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^366 ] R182.2 : Type {4,728}_728 Order 2912 mV = 728 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^182 * R^2 * S^182 ] R182.3 : Type {6,184}_552 Order 2208 mV = 92 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^184 ] R182.4 : Type {6,546}_182 Order 2184 mV = 546 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^91 * R^2 * S^91 ] R182.5 : Type {8,63}_252 Order 2016 mV = 21 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-63 ] R182.6 : Type {8,244}_488 Order 1952 mV = 122 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^61 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^56 ] R182.7 : Type {10,455}_182 Order 1820 mV = 455 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-46 * R * S^3 * R^-1 * S^-42 ] R182.8 : Type {16,54}_432 Order 1728 mV = 27 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^54 ] R182.9 : Type {24,68}_408 Order 1632 mV = 34 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^17 * R^-5 * S^-1 * T * S^4 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R182.10 : Type {28,30}_420 Order 1680 mV = 15 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^30 ] R182.11 : Type {30,390}_26 Order 1560 mV = 390 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^3 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^2, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R182.12 : Type {54,378}_14 Order 1512 mV = 378 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 * S^-6 * R * S^2, R^15 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^14 ] R182.13 : Type {58,377}_26 Order 1508 mV = 377 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^16 * S^-7 ] R182.14 : Type {106,371}_14 Order 1484 mV = 371 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^6 * R * S^-6 * R * S^2, S^5 * R^-9 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-12 * S^2 ] R182.15 : Type {124,186}_12 Order 1488 mV = 93 mF = 62 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^5 * R^-1 * S^-1, S^5 * R^-1 * S * R^-1 * S * R^-13 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 * S ] R182.16 : Type {365,730}_2 Order 1460 mV = 730 mF = 365 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^342 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R182.17 : Type {366,366}_2 Order 1464 mV = 366 mF = 366 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^343 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S^2 ] R182.18 : Type {728,728}_2 Order 1456 mV = 728 mF = 728 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^341 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] Genus 183 R183.1 : Type {4,6}_14 Order 8736 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S ] R183.2 : Type {4,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-1 * R)^7, (R * S^-3 * R * S^-2)^2 ] R183.3 : Type {4,12}_26 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, (S^-1 * R)^7, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R183.4 : Type {4,56}_8 Order 3136 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R183.5 : Type {4,56}_8 Order 3136 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 * R * S^-3 * R * S^-1 ] R183.6 : Type {4,186}_186 Order 2976 mV = 62 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^186 ] R183.7 : Type {4,368}_368 Order 2944 mV = 184 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^92 * R * S^-1 * R * S^91 ] R183.8 : Type {4,368}_368 Order 2944 mV = 184 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^368 ] R183.9 : Type {4,732}_366 Order 2928 mV = 732 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^183 * R^2 * S^183 ] R183.10 : Type {6,6}_12 Order 4368 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R * S^3 * R ] R183.11 : Type {6,6}_12 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S * R^2 * S^3 * R^3 * S^-1, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1 ] R183.12 : Type {6,16}_6 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^2 * S^-3 * R^2 * S^5 ] R183.13 : Type {6,16}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R183.14 : Type {6,16}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^-1 * S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^2 ] R183.15 : Type {6,16}_12 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R183.16 : Type {6,16}_14 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^2 * R^2 * S^-1 * R^2 * S^5, S^-2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ] R183.17 : Type {6,16}_16 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^2 * R^2 * S^-1 * R^2 * S^5, S * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R183.18 : Type {6,16}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R183.19 : Type {6,16}_28 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ] R183.20 : Type {7,21}_8 Order 2352 mV = 7 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S, (S^-1 * R)^7 ] R183.21 : Type {8,33}_66 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-33 ] R183.22 : Type {8,124}_248 Order 1984 mV = 31 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^124 ] R183.23 : Type {8,124}_248 Order 1984 mV = 62 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^124 ] R183.24 : Type {8,488}_122 Order 1952 mV = 488 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^61 * R^2 * S^61 ] R183.25 : Type {8,488}_244 Order 1952 mV = 488 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^61 * R * S^-2 * R * S^59 ] R183.26 : Type {12,57}_152 Order 1824 mV = 19 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^-10 * R^3 * S^5 * R^-2 * S * R * S^-3 ] R183.27 : Type {12,148}_222 Order 1776 mV = 74 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^37 * R^-2 * S^4 * T * S^-1 * R^-4 * T * S^32 ] R183.28 : Type {14,63}_126 Order 1764 mV = 9 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^-63 ] R183.29 : Type {14,427}_122 Order 1708 mV = 427 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^-31 * R^2 * S^-30 ] R183.30 : Type {56,56}_14 Order 1568 mV = 28 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, R * S^-1 * R^-8 * S^-1 * R^5, R^-12 * S^3 * R^-6 * S * R^-8 * S * R^-5 * S * R^-5 * S^14 ] R183.31 : Type {56,56}_14 Order 1568 mV = 28 mF = 28 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^-3 * S^4 * T * S^-1 * R^-1 * S * R^7 * S^-2 * R * S * T * S^-4 * R^2 * S^-1 ] R183.32 : Type {56,56}_28 Order 1568 mV = 28 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, R^-12 * S * R^-5 * S * R^-5 * S^2 * R^-2 ] R183.33 : Type {56,56}_28 Order 1568 mV = 28 mF = 28 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^-1 * S^-1 * R^2 * S^-5 * R^-1 * S * R^6 * S * R^-1 * S^-6 * R^-3 ] R183.34 : Type {124,372}_6 Order 1488 mV = 372 mF = 62 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^71 * R^-13 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-14 * S ] R183.35 : Type {186,186}_4 Order 1488 mV = 62 mF = 62 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^131 * R^-1 * S * R^-14 * S^2 * R^-34 * S ] R183.36 : Type {367,734}_2 Order 1468 mV = 734 mF = 367 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^344 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R183.37 : Type {368,368}_2 Order 1472 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^-1 * S^345 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S^2 ] R183.38 : Type {368,368}_4 Order 1472 mV = 368 mF = 368 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^145 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 ] R183.39 : Type {732,732}_2 Order 1464 mV = 732 mF = 732 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^343 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] Genus 184 R184.1 : Type {4,65}_78 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^6 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 ] R184.2 : Type {4,370}_740 Order 2960 mV = 185 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^370 ] R184.3 : Type {4,736}_736 Order 2944 mV = 736 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^184 * R^2 * S^184 ] R184.4 : Type {6,64}_64 Order 2304 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^64 ] R184.5 : Type {6,186}_186 Order 2232 mV = 62 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^186 ] R184.6 : Type {6,186}_186 Order 2232 mV = 93 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^31 * R * S^-3 * R * S^28 ] R184.7 : Type {6,186}_186 Order 2232 mV = 93 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^186 ] R184.8 : Type {6,552}_184 Order 2208 mV = 552 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^92 * R * S^-1 * R * S^91 ] R184.9 : Type {8,84}_56 Order 2016 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^2 * R * S^-1 * R^-1 * S^8 * R^-1 * S^-1 * R * S^2 ] R184.10 : Type {10,94}_470 Order 1880 mV = 47 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^94 ] R184.11 : Type {10,460}_92 Order 1840 mV = 460 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^46 * R^2 * S^46 ] R184.12 : Type {12,39}_78 Order 1872 mV = 13 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^-39 ] R184.13 : Type {12,222}_148 Order 1776 mV = 111 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^37 * R * S^-3 * R * S^34 ] R184.14 : Type {18,48}_144 Order 1728 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, (R * S^-1 * R^4)^2, S^8 * R * S^-1 * R * S^7, R^18 ] R184.15 : Type {18,48}_144 Order 1728 mV = 24 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^48 ] R184.16 : Type {18,414}_46 Order 1656 mV = 414 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^-1 * S * R^-15 * S, S^23 * R * S^-4 * R * S^19 ] R184.17 : Type {24,102}_136 Order 1632 mV = 51 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^17 * R * S^-1 * R * S^16 ] R184.18 : Type {28,35}_6 Order 1680 mV = 7 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2, S * R * S^-2 * R^-3 * S * R^-2 * S * R^-2 ] R184.19 : Type {33,132}_6 Order 1584 mV = 33 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, S * R^-1 * S^6 * R^-1 * S * R^-2 * S * R^-1 * S * R^-10 * S * R^-1 * S * R^-2 * S * R^-1 * S ] R184.20 : Type {34,391}_46 Order 1564 mV = 391 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^5 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^4, S^-12 * R * S^3 * R^-1 * S^-8 ] R184.21 : Type {44,66}_4 Order 1584 mV = 11 mF = 11 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 * S^-1 * R^-2 * S^3 * R^-2 * S^-1 * R * S^-3, S^3 * R^-12 * S * R^-1 * S * R^-2 * S * R^-1 ] R184.22 : Type {65,65}_6 Order 1560 mV = 13 mF = 13 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-7 * S^2 * R^-2 * S^2 ] R184.23 : Type {76,190}_20 Order 1520 mV = 95 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^-2 * R^-1 * S^9 * R^-1 * S^-9, S^7 * R^-19 * S * R^-1 * S * R^-6 * S^3 ] R184.24 : Type {94,376}_8 Order 1504 mV = 376 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^-3 * R * S^4, R^-1 * S^40 * R^-13 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R184.25 : Type {126,126}_6 Order 1512 mV = 63 mF = 42 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^75 * S^-12 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-11 * R ] R184.26 : Type {186,372}_4 Order 1488 mV = 372 mF = 93 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^132 * R^-13 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R184.27 : Type {369,738}_2 Order 1476 mV = 738 mF = 369 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^346 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R184.28 : Type {370,370}_2 Order 1480 mV = 370 mF = 370 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^347 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S^2 ] R184.29 : Type {736,736}_2 Order 1472 mV = 736 mF = 736 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^345 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] Genus 185 R185.1 : Type {4,50}_50 Order 3200 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^50 ] R185.2 : Type {4,50}_100 Order 3200 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-13 * R * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-5 ] R185.3 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^96 ] R185.4 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^24 * R^2 * S^2 * R^-1 * S^-1 * R * S^21 ] R185.5 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^24 * R * S^-5 * R * S^19 ] R185.6 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^24 * R * S^-5 * R * S^19 ] R185.7 : Type {4,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^96 ] R185.8 : Type {4,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^24 * R * S^-3 * R * S^21 ] R185.9 : Type {4,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^24 * R * S^-3 * R * S^21 ] R185.10 : Type {4,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^24 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^15 ] R185.11 : Type {4,188}_188 Order 3008 mV = 47 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^188 ] R185.12 : Type {4,372}_372 Order 2976 mV = 186 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^372 ] R185.13 : Type {4,740}_370 Order 2960 mV = 740 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^185 * R^2 * S^185 ] R185.14 : Type {6,141}_188 Order 2256 mV = 47 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-24 * R^2 * S^-1 * R^2 * S^-22 ] R185.15 : Type {6,555}_370 Order 2220 mV = 555 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-93 * R * S * R^-1 * S^-91 ] R185.16 : Type {8,18}_18 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ] R185.17 : Type {8,18}_18 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^18 ] R185.18 : Type {8,18}_18 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^18 ] R185.19 : Type {8,18}_18 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^18 ] R185.20 : Type {8,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^18 ] R185.21 : Type {8,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^18 ] R185.22 : Type {8,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^18 ] R185.23 : Type {8,18}_36 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^18 ] R185.24 : Type {8,18}_36 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^18 ] R185.25 : Type {8,18}_36 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^18 ] R185.26 : Type {8,18}_72 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^18 ] R185.27 : Type {8,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^-3 * R * S^13 ] R185.28 : Type {8,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^16 * R * S^-3 * R * S^13 ] R185.29 : Type {8,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^18 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^8 ] R185.30 : Type {8,64}_64 Order 2048 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^16 * R * S^-2 * R^2 * S^-2 * R * S^12 ] R185.31 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, 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^64 ] R185.32 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, 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^16 * R^2 * S^2 * R^-1 * S^-3 * R * S^11 ] R185.33 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^64 ] R185.34 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, 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^16 * R^4 * S^16 ] R185.35 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, 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^16 * R * S^-2 * R^2 * S^-2 * R * S^12 ] R185.36 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^16 * R * S^-3 * R * S^13 ] R185.37 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^16 * R^-3 * S^-7 * R * S^9 ] R185.38 : Type {8,64}_64 Order 2048 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-3 * R * S^13 ] R185.39 : Type {8,248}_124 Order 1984 mV = 124 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^62 * R * S^-1 * R * S^61 ] R185.40 : Type {8,248}_124 Order 1984 mV = 124 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^62 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^57 ] R185.41 : Type {12,30}_10 Order 1920 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, R^12, S^4 * R^3 * S^4 * R^-1, S * R * S^-4 * R * S^5 ] R185.42 : Type {12,30}_20 Order 1920 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, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2, R^12 ] R185.43 : Type {12,30}_40 Order 1920 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-3 * R^-1 * S * R^-4 * S^4 * R^-1 * S^-2 ] R185.44 : Type {12,30}_40 Order 1920 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, R^-2 * S^-1 * R * S^-1 * R^-4 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R185.45 : Type {12,76}_228 Order 1824 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^76 ] R185.46 : Type {12,444}_74 Order 1776 mV = 444 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^37 * R^2 * S^37 ] R185.47 : Type {15,20}_12 Order 1920 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-7 * S^-1 * R * S * R^-1 * S^-2 ] R185.48 : Type {15,20}_24 Order 1920 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 ] R185.49 : Type {20,84}_210 Order 1680 mV = 42 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^21 * R^-3 * S^-3 * T * S^2 * R^-4 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^12 ] R185.50 : Type {21,70}_10 Order 1680 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^-4 * R^-2 * S^-4 * R, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R185.51 : Type {22,407}_74 Order 1628 mV = 407 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^-1 * S, S^-19 * R * S^2 * R^-1 * S^-16 ] R185.52 : Type {24,136}_102 Order 1632 mV = 68 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^11 * S * R^-1 * S, S^17 * R^4 * S^7 * R^-2 * S^10 ] R185.53 : Type {24,136}_204 Order 1632 mV = 68 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^11 * S * R^-1 * S, S^17 * R^4 * S^6 * R^2 * S^11 ] R185.54 : Type {50,50}_4 Order 1600 mV = 10 mF = 10 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^-2 * S * R^-1 * S^32 * R^-1 * S * R^-8 * S^3 * R^-1 ] R185.55 : Type {50,50}_8 Order 1600 mV = 10 mF = 10 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, S^2 * R^-3 * S^6 * R^-6 * S * R^-2 * S * R^-2 * S^2 ] R185.56 : Type {64,192}_12 Order 1536 mV = 96 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-14 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 * S ] R185.57 : Type {64,192}_12 Order 1536 mV = 96 mF = 32 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^-4 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^3 * R^-2 * S ] R185.58 : Type {64,192}_24 Order 1536 mV = 96 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^7 * R^-17 * S * R^-1 * S^6 ] R185.59 : Type {64,192}_24 Order 1536 mV = 96 mF = 32 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^-5 * R * S^6, R^-4 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^3 * R^-2 * S ] R185.60 : Type {76,380}_10 Order 1520 mV = 380 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^-4 * R * S^5, S * R^-1 * S^21 * R^-13 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R185.61 : Type {96,96}_4 Order 1536 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, R^-1 * S^2 * R^-65 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S * R^-2 * S * R^-1 * S^3 ] R185.62 : Type {96,96}_4 Order 1536 mV = 24 mF = 24 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 * R^-2 * S^22 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 ] R185.63 : Type {96,96}_4 Order 1536 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, S^-1 * R^75 * S^-3 * R^11 * S^-2 * R * S^-1 * R * S^-1 ] R185.64 : Type {96,96}_4 Order 1536 mV = 32 mF = 32 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^2 * S^-6 * R * S^-1 * R * S^-3 * R^9 * S^-1 * R^2 * S^-1 * R^16 * S^-1 * R^2 ] R185.65 : Type {96,96}_8 Order 1536 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^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^-2 * S^10 * R^-3 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^4 * R^-5 * S ] R185.66 : Type {96,96}_8 Order 1536 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-2 * S^2 * R^-13 * S * R^-2 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-8 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 ] R185.67 : Type {96,96}_8 Order 1536 mV = 24 mF = 48 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^8 * R^-6 * S * R^-1 * S * R^-3 * S * R^-1 * S * R^-7 * S * R^-2 * S^3 * R^-1 * S^4 * R^-6 ] R185.68 : Type {96,96}_8 Order 1536 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^-2 * R * S^3, S^-2 * R^24 * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R185.69 : Type {96,96}_8 Order 1536 mV = 32 mF = 32 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^-31 * S * R^-3 * S * R^-7 * S * R^-3 * S ] R185.70 : Type {96,96}_8 Order 1536 mV = 48 mF = 24 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^45 * S^-12 * R^3 * S^-1 * R * S^-1 * R^14 * S^-1 * R^6 * S^-11 * R ] R185.71 : Type {96,96}_16 Order 1536 mV = 48 mF = 24 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^-9 * S^-1 * R^6, R^4 * S^-6 * R^5 * S^-1 * R^5 * S^-1 * R^8 * S^-1 * R^6 * S^-9 * R^2 ] R185.72 : Type {96,96}_16 Order 1536 mV = 48 mF = 24 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 * S^-1 * R^12 * S^-1 * R * S^-4 * R^18 * S^-4 * R * S^-1 * R * S^-2 ] R185.73 : Type {188,188}_4 Order 1504 mV = 94 mF = 94 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^135 * R^-13 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-14 * S ] R185.74 : Type {371,742}_2 Order 1484 mV = 742 mF = 371 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^348 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R185.75 : Type {372,372}_2 Order 1488 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^-1 * S^349 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S^2 ] R185.76 : Type {740,740}_2 Order 1480 mV = 740 mF = 740 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^347 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] Genus 186 R186.1 : Type {4,189}_378 Order 3024 mV = 63 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-189 ] R186.2 : Type {4,374}_748 Order 2992 mV = 187 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^374 ] R186.3 : Type {4,744}_744 Order 2976 mV = 744 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^186 * R^2 * S^186 ] R186.4 : Type {6,40}_12 Order 2400 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^-10 * R^-3 * S^-10 ] R186.5 : Type {6,40}_24 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^3 * R^2 * S^-1 * R^2 * S^6 ] R186.6 : Type {6,40}_24 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-3 * R^2 * S^-2 ] R186.7 : Type {6,188}_564 Order 2256 mV = 94 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^188 ] R186.8 : Type {8,126}_252 Order 2016 mV = 42 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-32 * R^4 * S^-31 ] R186.9 : Type {8,126}_504 Order 2016 mV = 63 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^126 ] R186.10 : Type {10,21}_42 Order 2100 mV = 7 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-21 ] R186.11 : Type {10,95}_190 Order 1900 mV = 19 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-95 ] R186.12 : Type {10,465}_186 Order 1860 mV = 465 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-47 * R^2 * S^-46 ] R186.13 : Type {14,64}_448 Order 1792 mV = 32 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^64 ] R186.14 : Type {14,434}_62 Order 1736 mV = 434 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^31 * R * S^-2 * R * S^29 ] R186.15 : Type {16,108}_432 Order 1728 mV = 54 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^27 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S^20 ] R186.16 : Type {20,105}_42 Order 1680 mV = 35 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, S^-11 * R * S^3 * R^-1 * S^-7 ] R186.17 : Type {24,204}_136 Order 1632 mV = 102 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^17 * R^4 * S^17 ] R186.18 : Type {26,403}_62 Order 1612 mV = 403 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-16 * R * S^9 * R^-1 * S^-6 ] R186.19 : Type {28,42}_10 Order 1680 mV = 7 mF = 7 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^4, R^9 * S^-1 * R * S^-1 * R * S^-1 ] R186.20 : Type {36,198}_44 Order 1584 mV = 99 mF = 18 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^-3 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-5 * S, S^11 * R * S^-1 * R * S^10 ] R186.21 : Type {44,99}_18 Order 1584 mV = 33 mF = 11 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, R * S^-1 * R^2 * S^-2 * R^2 * S^-4 * R * S^2 ] R186.22 : Type {188,376}_8 Order 1504 mV = 376 mF = 94 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^43 * R^-11 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 * S ] R186.23 : Type {189,189}_4 Order 1512 mV = 63 mF = 63 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^35 * S^-2 * R^14 * S^-1 * R * S^-132 * R^2 ] R186.24 : Type {250,375}_6 Order 1500 mV = 375 mF = 125 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^70 * R^-13 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-15 ] R186.25 : Type {373,746}_2 Order 1492 mV = 746 mF = 373 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^350 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R186.26 : Type {374,374}_2 Order 1496 mV = 374 mF = 374 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^351 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S^2 ] R186.27 : Type {744,744}_2 Order 1488 mV = 744 mF = 744 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^349 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] Genus 187 R187.1 : Type {4,35}_40 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S ] R187.2 : Type {4,376}_376 Order 3008 mV = 188 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^94 * R * S^-1 * R * S^93 ] R187.3 : Type {4,376}_376 Order 3008 mV = 188 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^376 ] R187.4 : Type {4,748}_374 Order 2992 mV = 748 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^187 * R^2 * S^187 ] R187.5 : Type {6,189}_378 Order 2268 mV = 63 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-189 ] R187.6 : Type {6,561}_374 Order 2244 mV = 561 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-94 * R^2 * S^-93 ] R187.7 : Type {12,21}_8 Order 2016 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^-2 * R^-4 * S^-5, R^12, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R187.8 : Type {12,21}_168 Order 2016 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^-21 ] R187.9 : Type {12,114}_152 Order 1824 mV = 38 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^-10 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-6 ] R187.10 : Type {18,72}_6 Order 1728 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^3 * S^2 * R^-2, S * R * S^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-1 * S^2 * T * S^-1 * R * S^-2 * R^4 * S^-1 * R^3 * S^-1 * T * S * R^-1 ] R187.11 : Type {18,72}_12 Order 1728 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 * S^-3 * R * S^4, R^-1 * S * R^-1 * S * R^-1 * S * R^-7 * S^5 ] R187.12 : Type {24,36}_18 Order 1728 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)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^9 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^5 ] R187.13 : Type {24,36}_18 Order 1728 mV = 12 mF = 6 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^9 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^4 ] R187.14 : Type {24,36}_36 Order 1728 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)^2, S^-1 * R^5 * S^-2 * R * S^-1, S^9 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^5 ] R187.15 : Type {24,36}_36 Order 1728 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^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^9 * R * S^-2 * R * S^7 ] R187.16 : Type {24,36}_72 Order 1728 mV = 3 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^19 * S^-1 * R * S^-1 * R^2, S^36 ] R187.17 : Type {24,36}_72 Order 1728 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^36 ] R187.18 : Type {24,36}_72 Order 1728 mV = 9 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^11 * S * R^-1 * S, S^36 ] R187.19 : Type {24,36}_72 Order 1728 mV = 18 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^36 ] R187.20 : Type {24,408}_34 Order 1632 mV = 408 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^19 * S^-1 * R * S^-1 * R^2, S^17 * R * S^-4 * R * S^13 ] R187.21 : Type {24,408}_68 Order 1632 mV = 408 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^19 * S^-1 * R * S^-1 * R^2, S^17 * R^-2 * S^17 ] R187.22 : Type {30,135}_54 Order 1620 mV = 45 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^3 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^2, S^-14 * R * S^6 * R^-1 * S^-7 ] R187.23 : Type {35,35}_6 Order 1680 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, R^-1 * S * R^-4 * S * R^-1 * S^-3, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3 ] R187.24 : Type {36,396}_22 Order 1584 mV = 396 mF = 18 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^-3 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-5 * S, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R187.25 : Type {46,391}_34 Order 1564 mV = 391 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^-6 * S^10 ] R187.26 : Type {70,385}_22 Order 1540 mV = 385 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^-5 * R^2 * S^-1 * R^19 * S^-1 * R * S^-6 ] R187.27 : Type {375,750}_2 Order 1500 mV = 750 mF = 375 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^352 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R187.28 : Type {376,376}_2 Order 1504 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^-1 * S^353 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S^2 ] R187.29 : Type {376,376}_4 Order 1504 mV = 376 mF = 376 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^134 * R^-13 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R187.30 : Type {748,748}_2 Order 1496 mV = 748 mF = 748 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^351 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] Genus 188 R188.1 : Type {4,378}_756 Order 3024 mV = 189 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^378 ] R188.2 : Type {4,752}_752 Order 3008 mV = 752 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^188 * R^2 * S^188 ] R188.3 : Type {6,190}_570 Order 2280 mV = 95 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^190 ] R188.4 : Type {6,564}_188 Order 2256 mV = 564 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^94 * R^2 * S^94 ] R188.5 : Type {8,252}_504 Order 2016 mV = 126 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^63 * R^4 * S^3 * T * S^-2 * T * S^58 ] R188.6 : Type {10,96}_480 Order 1920 mV = 48 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^96 ] R188.7 : Type {10,470}_94 Order 1880 mV = 470 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^47 * R * S^-1 * R * S^46 ] R188.8 : Type {12,152}_456 Order 1824 mV = 76 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 * R^-2 * S^4 * T * S^-1 * R^-4 * T * S^33 ] R188.9 : Type {18,423}_94 Order 1692 mV = 423 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^-1 * S * R^-15 * S, S^-24 * R * S * R^-1 * S^-22 ] R188.10 : Type {20,210}_84 Order 1680 mV = 105 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 * R^-17 * S, S^21 * R * S^-5 * R * S^16 ] R188.11 : Type {32,52}_416 Order 1664 mV = 26 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 * R^-2 * S^7 * R^5 * S^-3 * T * S^2 * R^4 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R188.12 : Type {44,198}_36 Order 1584 mV = 99 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^3 * R^-2 * S^5 * R^-2 * S^10 ] R188.13 : Type {78,130}_30 Order 1560 mV = 65 mF = 39 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^7 * S * R^-5, S^-3 * R^2 * S^-1 * R^-3 * S^4 * R^-1 * S^-2, S^-1 * R * S^-1 * R * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R188.14 : Type {190,380}_4 Order 1520 mV = 380 mF = 95 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^136 * R^-13 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R188.15 : Type {377,754}_2 Order 1508 mV = 754 mF = 377 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^354 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R188.16 : Type {378,378}_2 Order 1512 mV = 378 mF = 378 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^355 * T * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S^2 ] R188.17 : Type {752,752}_2 Order 1504 mV = 752 mF = 752 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^353 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] Genus 189 R189.1 : Type {4,192}_192 Order 3072 mV = 48 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^192 ] R189.2 : Type {4,192}_192 Order 3072 mV = 48 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^48 * R^2 * S * R^-1 * S^-1 * R * S^46 ] R189.3 : Type {4,192}_192 Order 3072 mV = 64 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^192 ] R189.4 : Type {4,192}_192 Order 3072 mV = 64 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^48 * R * S^-2 * R * S^46 ] R189.5 : Type {4,380}_380 Order 3040 mV = 190 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^380 ] R189.6 : Type {4,756}_378 Order 3024 mV = 756 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^189 * R^2 * S^189 ] R189.7 : Type {8,128}_128 Order 2048 mV = 32 mF = 2 Defining relations for automorphism group: [ R^8, 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^32 * R^3 * S^-2 * R * S^30 ] R189.8 : Type {8,128}_128 Order 2048 mV = 32 mF = 2 Defining relations for automorphism group: [ R^8, 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^32 * R^2 * S * R^-1 * S^-6 * R^-1 * S^25 ] R189.9 : Type {8,128}_128 Order 2048 mV = 32 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^32 * R^2 * S^2 * R^-1 * S^-3 * R * S^27 ] R189.10 : Type {8,128}_128 Order 2048 mV = 32 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^128 ] R189.11 : Type {8,128}_128 Order 2048 mV = 64 mF = 2 Defining relations for automorphism group: [ R^8, 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^32 * R * S^-1 * R * S^31 ] R189.12 : Type {8,128}_128 Order 2048 mV = 64 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^128 ] R189.13 : Type {8,504}_126 Order 2016 mV = 504 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^63 * R * S^-2 * R * S^61 ] R189.14 : Type {8,504}_252 Order 2016 mV = 504 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^63 * R^2 * S^63 ] R189.15 : Type {9,16}_18 Order 2304 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, 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^16 ] R189.16 : Type {9,16}_72 Order 2304 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, (R * S^-3)^4 ] R189.17 : Type {12,40}_4 Order 1920 mV = 8 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^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S ] R189.18 : Type {12,40}_8 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-1 * R^4 * S^-1 * R * S^2 ] R189.19 : Type {12,40}_30 Order 1920 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-5 * R^2 * S^-1 * R^-1 * S^2 * R^-3 * S^-2 ] R189.20 : Type {12,40}_40 Order 1920 mV = 8 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, (R * S^-4)^2 ] R189.21 : Type {12,40}_40 Order 1920 mV = 8 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^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R189.22 : Type {12,40}_60 Order 1920 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-3 * R^2 * S^-1 * R^2 * S^-6 ] R189.23 : Type {12,40}_60 Order 1920 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-3 * R^2 * S^-1 * R^-4 * S^-6 ] R189.24 : Type {12,40}_60 Order 1920 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^10 * R * S^-1 * R * S^2 * R^-1 * S^-3 * R^-1 * S^4 ] R189.25 : Type {12,40}_60 Order 1920 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^6 * R^2 * S^2 * R^-1 * S^-1 * R * S ] R189.26 : Type {12,40}_60 Order 1920 mV = 10 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^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R189.27 : Type {12,40}_120 Order 1920 mV = 10 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^10 * R^5 * S^-4 * R * S^6 ] R189.28 : Type {12,40}_120 Order 1920 mV = 10 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^40 ] R189.29 : Type {12,228}_76 Order 1824 mV = 114 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^38 * R * S^-1 * R * S^37 ] R189.30 : Type {14,18}_6 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-2 * R^3)^2, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-3 ] R189.31 : Type {14,18}_14 Order 2016 mV = 2 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 * R^3 * S * R^-1 * S^2, R^14, (R * S^-1 * R^5)^2 ] R189.32 : Type {14,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-3 * R^2)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, R^14 ] R189.33 : Type {15,24}_10 Order 1920 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-2 * R^-4 * S^-3 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 ] R189.34 : Type {15,24}_20 Order 1920 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 * 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 ] R189.35 : Type {16,56}_112 Order 1792 mV = 7 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^56 ] R189.36 : Type {16,56}_112 Order 1792 mV = 7 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^16, S^56 ] R189.37 : Type {16,56}_112 Order 1792 mV = 14 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^14 * R^2 * S^2 * R^-1 * S^-3 * R * S^9 ] R189.38 : Type {16,56}_112 Order 1792 mV = 14 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^16, S^14 * R^8 * S^14 ] R189.39 : Type {16,56}_112 Order 1792 mV = 14 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^16, S^14 * R^4 * S * R^-1 * S^-1 * R * S * R^-1 * S^-4 * R^-1 * S^7 ] R189.40 : Type {16,56}_112 Order 1792 mV = 14 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^56 ] R189.41 : Type {16,56}_112 Order 1792 mV = 28 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^16, S^14 * R * S^-1 * R * S^13 ] R189.42 : Type {16,56}_112 Order 1792 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^56 ] R189.43 : Type {16,432}_54 Order 1728 mV = 432 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^16, S^27 * R * S^-2 * R * S^25 ] R189.44 : Type {16,432}_108 Order 1728 mV = 432 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^16, S^27 * R * S^-6 * R * S^21 ] R189.45 : Type {20,44}_220 Order 1760 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^44 ] R189.46 : Type {20,420}_42 Order 1680 mV = 420 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 * R^-17 * S, S^21 * R^2 * S^21 ] R189.47 : Type {28,60}_210 Order 1680 mV = 30 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^15 * R^-3 * S^-3 * T * S^2 * R^-4 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R189.48 : Type {35,42}_4 Order 1680 mV = 7 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^6 * S * R^-4, S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 ] R189.49 : Type {35,42}_10 Order 1680 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^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R, (R * S^-1 * R^2 * S^-1 * R^2)^2 ] R189.50 : Type {38,399}_42 Order 1596 mV = 399 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^7 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^6, S^-11 * R * S * R^-1 * S^-9 ] R189.51 : Type {44,396}_18 Order 1584 mV = 396 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^-1 * S * R^-7 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-9 * S ] R189.52 : Type {86,387}_18 Order 1548 mV = 387 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^6 * R^-2 * S * R^-19 * S * R^-1 * S * R^-10 * S^2 ] R189.53 : Type {110,385}_14 Order 1540 mV = 385 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^6 * R * S^-6 * R * S^2, S^7 * R^-8 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R189.54 : Type {128,384}_6 Order 1536 mV = 384 mF = 64 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^73 * R^-13 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-15 ] R189.55 : Type {128,384}_12 Order 1536 mV = 384 mF = 64 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^5 * R^-1 * S^-1, S^5 * R^-2 * S * R^-1 * S * R^-14 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 * S ] R189.56 : Type {192,192}_4 Order 1536 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^2, R^-2 * S^134 * R^-1 * S * R^-14 * S^2 * R^-37 * S ] R189.57 : Type {192,192}_4 Order 1536 mV = 64 mF = 64 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^76 * S^-3 * R^11 * S^-2 * R * S^-2 * R ] R189.58 : Type {192,192}_4 Order 1536 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^139 * R^-13 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-14 * S ] R189.59 : Type {192,192}_4 Order 1536 mV = 96 mF = 96 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^-65 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S * R^-2 * S * R^-1 * S^2 * R^-1 ] R189.60 : Type {192,192}_8 Order 1536 mV = 64 mF = 64 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^-2 * R^26 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R189.61 : Type {192,192}_8 Order 1536 mV = 96 mF = 96 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^43 * S^-12 * R^3 * S^-1 * R * S^-1 * R^14 * S^-1 * R^6 * S^-12 ] R189.62 : Type {254,381}_6 Order 1524 mV = 381 mF = 127 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^74 * R^-13 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-14 * S ] R189.63 : Type {379,758}_2 Order 1516 mV = 758 mF = 379 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^356 * T * R^5 * T * R^-2 * T * R^11 * T * S * R^-1 * S * R^-1 ] R189.64 : Type {380,380}_2 Order 1520 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^178 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * T * S^-179 * R ] R189.65 : Type {756,756}_2 Order 1512 mV = 756 mF = 756 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^355 * T * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * R^-1 ] Genus 190 R190.1 : Type {3,24}_24 Order 6048 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-8 * R^-1 * S^7 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-3 * R^-1 * S * R^-1 * S^4 * R^-1 * S^-3 ] R190.2 : Type {3,24}_42 Order 6048 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1, S^-8 * R^-1 * S^7 * R^-1 * S^-1, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^4 * R^-1 * S^-2 * R * S ] R190.3 : Type {3,42}_6 Order 5292 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^42 ] R190.4 : Type {4,13}_12 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2, S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S ] R190.5 : Type {4,18}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^18 ] R190.6 : Type {4,18}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S, S^18 ] R190.7 : Type {4,18}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S ] R190.8 : Type {4,18}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R190.9 : Type {4,18}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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^18 ] R190.10 : Type {4,382}_764 Order 3056 mV = 191 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^382 ] R190.11 : Type {4,760}_760 Order 3040 mV = 760 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^190 * R^2 * S^190 ] R190.12 : Type {5,8}_8 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3 ] R190.13 : Type {5,8}_12 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R * S^-1 * R^2 * S^-1 * R * S^4 * R ] R190.14 : Type {6,10}_10 Order 3240 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-5 * R^2 * S^5 * R, (R * S^-3 * R * S^-1 * R)^2 ] R190.15 : Type {6,10}_10 Order 3240 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-4)^2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R190.16 : Type {6,24}_8 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R190.17 : Type {6,24}_24 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S^3 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 ] R190.18 : Type {6,24}_24 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S, S^24 ] R190.19 : Type {6,24}_24 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^24 ] R190.20 : Type {6,24}_24 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^24 ] R190.21 : Type {6,24}_24 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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^24 ] R190.22 : Type {6,24}_24 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, 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^-3 * R * S^4 ] R190.23 : Type {6,24}_24 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, 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^24 ] R190.24 : Type {6,24}_24 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R, S * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S ] R190.25 : Type {6,24}_24 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R190.26 : Type {6,24}_24 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R190.27 : Type {6,24}_24 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^24 ] R190.28 : Type {6,24}_36 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-7 * R^3 * S^-5 ] R190.29 : Type {6,24}_36 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-7 * R^3 * S^-5, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1 * R * S^2, R^-1 * S^2 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R190.30 : Type {6,24}_72 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^24 ] R190.31 : Type {6,24}_72 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^24 ] R190.32 : Type {6,24}_72 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-2 * R^2 * S^-1 * R^2 * S^-5, R^-1 * S^2 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R190.33 : Type {6,24}_72 Order 2592 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^24 ] R190.34 : Type {6,66}_66 Order 2376 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^11 * R^2 * S^4 * R^-1 * S^-1 * R * S^6 ] R190.35 : Type {6,66}_66 Order 2376 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^66 ] R190.36 : Type {6,66}_66 Order 2376 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^66 ] R190.37 : Type {6,66}_66 Order 2376 mV = 22 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^66 ] R190.38 : Type {6,192}_192 Order 2304 mV = 64 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^192 ] R190.39 : Type {6,192}_192 Order 2304 mV = 96 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^32 * R * S^-1 * R * S^31 ] R190.40 : Type {6,192}_192 Order 2304 mV = 96 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^192 ] R190.41 : Type {6,570}_190 Order 2280 mV = 570 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^95 * R * S^-1 * R * S^94 ] R190.42 : Type {7,28}_8 Order 2352 mV = 7 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^2 * S^-1 * R * S^-1 * R^3 * S^-3 * R * S^-2 ] R190.43 : Type {8,12}_24 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-1)^6, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2 ] R190.44 : Type {12,15}_6 Order 2160 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^12, S^4 * R^3 * S^4 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^2 * R * S^-1 * R^-3 * S^2 * R^-1 * S^2 * R^-1 ] R190.45 : Type {12,15}_8 Order 2160 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, R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S ] R190.46 : Type {12,15}_8 Order 2160 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-4 * S^-4, R^12, R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S ] R190.47 : Type {12,15}_30 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, R^12, S^-15 ] R190.48 : Type {12,24}_6 Order 2016 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R^5 * S * R^-3, R^12, S^-3 * R^4 * S^-5 ] R190.49 : Type {12,24}_14 Order 2016 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, R^12, S^-3 * R^4 * S^-5, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, S^-1 * R^2 * S^-2 * R^-2 * S^-3 * R * S^-2 ] R190.50 : Type {12,78}_156 Order 1872 mV = 13 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^78 ] R190.51 : Type {12,78}_156 Order 1872 mV = 39 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^13 * R * S^-3 * R * S^10 ] R190.52 : Type {12,78}_156 Order 1872 mV = 39 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^78 ] R190.53 : Type {12,456}_152 Order 1824 mV = 456 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^38 * R * S^-4 * R * S^34 ] R190.54 : Type {13,13}_14 Order 2184 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^2 * S^-1 * R^2 * S^-2 * R * S^-1, (R * S^-1)^6, R^-13, S^-3 * R^-4 * S^-3 * R * S^-1 * R ] R190.55 : Type {18,18}_6 Order 1944 mV = 2 mF = 3 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, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-3 * R^11 * S^-3 ] R190.56 : Type {18,18}_6 Order 1944 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R190.57 : Type {18,18}_6 Order 1944 mV = 3 mF = 3 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^5, S^2 * R^-2 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S^3 * R^-2 * S ] R190.58 : Type {18,18}_6 Order 1944 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^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1 * R^4)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6 ] R190.59 : Type {18,18}_6 Order 1944 mV = 3 mF = 3 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^6 * S^5, S * R * S^-2 * R^3 * S^3 * R^-2, R * S^-2 * T * R^-1 * S * R^-3 * S * R^-3 * S^2 * R^-2 * T * R^2 ] R190.60 : Type {18,18}_6 Order 1944 mV = 3 mF = 3 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^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^3 * R^-2, S * R^-2 * S * R^4 * S * R^-1 * S^3 * R^-1 ] R190.61 : Type {18,18}_6 Order 1944 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, S^2 * R^-2 * S^2 * R^-4 * S * R^-2 * S * R^-4 ] R190.62 : Type {18,18}_6 Order 1944 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 * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^7 * S * R^-5 ] R190.63 : Type {18,18}_18 Order 1944 mV = 1 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^7 * S * R^-5, R^-1 * S * R^-11 * S * R^-4, S^18 ] R190.64 : Type {18,18}_18 Order 1944 mV = 2 mF = 3 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 * S^-3 * R^11 * S^-3, S^18 ] R190.65 : Type {18,18}_18 Order 1944 mV = 2 mF = 3 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^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, R^3 * S^-1 * R^3 * S * R^-2 * S^-2, S^18 ] R190.66 : Type {18,18}_18 Order 1944 mV = 2 mF = 3 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^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R * S^-3 * R^11 * S^-3 ] R190.67 : Type {18,18}_18 Order 1944 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R190.68 : Type {18,18}_18 Order 1944 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, (R * S^-1 * R^4)^2, R^18, S^18 ] R190.69 : Type {18,18}_18 Order 1944 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 * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^18, S^18 ] R190.70 : Type {18,18}_18 Order 1944 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, (R * S^-1 * R^4)^2 ] R190.71 : Type {18,18}_18 Order 1944 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R^4)^2, S^18 ] R190.72 : Type {18,18}_18 Order 1944 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, 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^18 ] R190.73 : Type {18,18}_18 Order 1944 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1)^6 ] R190.74 : Type {18,18}_18 Order 1944 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^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S * R^7 * S * R^-5, S^18 ] R190.75 : Type {18,18}_18 Order 1944 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^-1 * S * R^-2 * S^2 * R^-7 * S * R^-2 * S, S^-1 * R * S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-3 * S^-1 * R^2 ] R190.76 : Type {18,18}_18 Order 1944 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, R^7 * S^-2 * R * S^-2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S ] R190.77 : Type {18,18}_18 Order 1944 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3, S * R^7 * S * R^-5 ] R190.78 : Type {18,144}_48 Order 1728 mV = 48 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^-1 * S * R^-15 * S, S^24 * R * S^-5 * R * S^19 ] R190.79 : Type {18,144}_48 Order 1728 mV = 72 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^7 * S * R^-5, R^18, S^2 * R * S^-7 * R * S^7 ] R190.80 : Type {21,42}_42 Order 1764 mV = 21 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^-21 ] R190.81 : Type {22,40}_440 Order 1760 mV = 20 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^40 ] R190.82 : Type {22,418}_38 Order 1672 mV = 418 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^-1 * S * R^-1 * S * R^-18, S^19 * R^-1 * S^-8 * R * S^11 ] R190.83 : Type {42,399}_38 Order 1596 mV = 399 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^9 * R^-2 * S^10 ] R190.84 : Type {45,90}_6 Order 1620 mV = 15 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^19 * R^-3 * S^5 * R^-9 * S * R^-3 * S^5 ] R190.85 : Type {45,90}_6 Order 1620 mV = 15 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6, R^-1 * S * R^-1 * S * R^-4 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R190.86 : Type {45,90}_18 Order 1620 mV = 45 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^-1 * S * R^10 * S * R^-7, R^-6 * S * R^-6 * S * R^-8 * S * R^-5 * S * R^-5 * S^10 * R^-1 ] R190.87 : Type {66,132}_12 Order 1584 mV = 44 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-14 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R190.88 : Type {66,132}_12 Order 1584 mV = 66 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^7 * S * R^-5, R^-3 * S^10 * R^-1 * S^11 * R^-6 * S * R^-20 * S^14 ] R190.89 : Type {66,132}_12 Order 1584 mV = 66 mF = 33 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^7 * S * R^-5, S * R * S^-5 * R * S^6, S * R^-19 * S * R^-1 ] R190.90 : Type {78,390}_10 Order 1560 mV = 390 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 * R^-1 * S^22 * R^-14 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 * S ] R190.91 : Type {129,258}_6 Order 1548 mV = 129 mF = 43 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^78 * S^-12 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-11 * R ] R190.92 : Type {154,385}_10 Order 1540 mV = 385 mF = 77 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^33 * S^-1 * R * S^-1 * R^3 * S^-1 * T * R^-1 * S * R^-8 * S * R^-1 * T * S^-1 * R^2 * S^-1 * R * S^-1 * R^14 * S^-1 ] R190.93 : Type {381,762}_2 Order 1524 mV = 762 mF = 381 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^358 * T * S^-1 * R^2 * T * S * R^-10 * T * R^2 * T * R^-6 ] R190.94 : Type {382,382}_2 Order 1528 mV = 382 mF = 382 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^183 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-184 ] R190.95 : Type {760,760}_2 Order 1520 mV = 760 mF = 760 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^178 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * T * S^-180 ] Genus 191 R191.1 : Type {3,44}_10 Order 5280 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2 ] R191.2 : Type {4,42}_70 Order 3360 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^3 * R * S^-3 * R^-1 * S^3 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R191.3 : Type {4,80}_16 Order 3200 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-6 * R^-1 * S * R * S^-6 * R * S * R^-1 * S^-2, (R * S^-1)^10 ] R191.4 : Type {4,80}_16 Order 3200 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-6 * R^-1 * S * R * S^-6 * R * S * R^-1 * S^-2, S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^4 * R^-1 * S^-3 ] R191.5 : Type {4,384}_384 Order 3072 mV = 192 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^96 * R * S^-1 * R * S^95 ] R191.6 : Type {4,384}_384 Order 3072 mV = 192 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^384 ] R191.7 : Type {4,764}_382 Order 3056 mV = 764 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^191 * R^2 * S^191 ] R191.8 : Type {6,22}_10 Order 2640 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^3 * S^-6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R191.9 : Type {6,22}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-2 * S^-2 ] R191.10 : Type {6,22}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R191.11 : Type {6,573}_382 Order 2292 mV = 573 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-96 * R * S * R^-1 * S^-94 ] R191.12 : Type {8,66}_66 Order 2112 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^66 ] R191.13 : Type {8,66}_132 Order 2112 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^66 ] R191.14 : Type {8,256}_256 Order 2048 mV = 128 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^64 * R * S^-1 * R * S^63 ] R191.15 : Type {8,256}_256 Order 2048 mV = 128 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^64 * R^4 * S^3 * T * S^-2 * T * S^59 ] R191.16 : Type {10,12}_20 Order 2400 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-5 * R^5 * S^-1, (R * S^-2 * R * S^-1 * R)^2 ] R191.17 : Type {42,42}_6 Order 1680 mV = 7 mF = 7 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^2 * R^-1 * S, S * R^6 * S^5, R^8 * S^-2 * R^2 * S^-2 ] R191.18 : Type {80,80}_10 Order 1600 mV = 40 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^6 * S * R^-4, S^26 * R^-1 * S^12 * R^-5 * S^3 * R^-12 * S^2 * R^-5 * S^13 * R^-1 ] R191.19 : Type {80,80}_10 Order 1600 mV = 40 mF = 40 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^6)^2, R^2 * S^2 * R * T * S^3 * R^6 * S^3 * R^-1 * S^-1 * T * S ] R191.20 : Type {80,80}_20 Order 1600 mV = 40 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^-1 * S * R^11 * S * R^-8, R^-5 * S * R^-4 * S * R^-8 * S * R^-5 * S * R^-5 * S^8 * R^-1 ] R191.21 : Type {80,80}_20 Order 1600 mV = 40 mF = 40 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^6)^2, R^2 * S^2 * R * T * S^3 * R^7 * S^-3 * T * S^2 ] R191.22 : Type {383,766}_2 Order 1532 mV = 766 mF = 383 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^184 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-183 ] R191.23 : Type {384,384}_2 Order 1536 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^186 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-182 * R ] R191.24 : Type {384,384}_4 Order 1536 mV = 384 mF = 384 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^138 * R^-13 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R191.25 : Type {764,764}_2 Order 1528 mV = 764 mF = 764 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^183 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-183 * R ] Genus 192 R192.1 : Type {4,195}_390 Order 3120 mV = 65 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-195 ] R192.2 : Type {4,386}_772 Order 3088 mV = 193 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^386 ] R192.3 : Type {4,768}_768 Order 3072 mV = 768 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^192 * R^2 * S^192 ] R192.4 : Type {6,194}_582 Order 2328 mV = 97 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^194 ] R192.5 : Type {8,130}_520 Order 2080 mV = 65 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^130 ] R192.6 : Type {10,98}_490 Order 1960 mV = 49 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^98 ] R192.7 : Type {10,480}_96 Order 1920 mV = 480 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^48 * R * S^-2 * R * S^46 ] R192.8 : Type {14,66}_462 Order 1848 mV = 33 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^66 ] R192.9 : Type {14,448}_64 Order 1792 mV = 448 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^32 * R * S^-3 * R * S^29 ] R192.10 : Type {18,50}_450 Order 1800 mV = 25 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^50 ] R192.11 : Type {26,34}_442 Order 1768 mV = 17 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^34 ] R192.12 : Type {26,416}_32 Order 1664 mV = 416 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^16 * R * S^-2 * R * S^14 ] R192.13 : Type {28,105}_30 Order 1680 mV = 35 mF = 7 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, R^9 * S^-2 * R * S^-2, S^2 * R^-2 * S * R * S^-4 * R * S^8 ] R192.14 : Type {30,84}_140 Order 1680 mV = 42 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^14 * R * S^-1 * R * S^13 ] R192.15 : Type {34,408}_24 Order 1632 mV = 408 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^5 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^4, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R192.16 : Type {50,400}_16 Order 1600 mV = 400 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^13 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^12 ] R192.17 : Type {98,392}_8 Order 1568 mV = 392 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^-3 * R * S^4, S * R^-1 * S^42 * R^-14 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 * S ] R192.18 : Type {130,390}_6 Order 1560 mV = 390 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, S * R^-1 * S^74 * R^-14 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-14 * S ] R192.19 : Type {194,388}_4 Order 1552 mV = 388 mF = 97 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^140 * R^-13 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R192.20 : Type {195,195}_4 Order 1560 mV = 65 mF = 65 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^38 * S^-2 * R^14 * S^-1 * R * S^-135 * R^2 ] R192.21 : Type {385,770}_2 Order 1540 mV = 770 mF = 385 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^183 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-185 * S ] R192.22 : Type {386,386}_2 Order 1544 mV = 386 mF = 386 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^182 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-188 ] R192.23 : Type {768,768}_2 Order 1536 mV = 768 mF = 768 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^186 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-183 ] Genus 193 R193.1 : Type {3,10}_30 Order 11520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 * R^-1 * S^-3 ] R193.2 : Type {3,12}_12 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R * S^-1)^6, S^4 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S, S^2 * 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 ] R193.3 : Type {3,12}_48 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-3 * R * S^-1 ] R193.4 : Type {3,12}_48 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-6 * R^-1 * S^3 * R^-1 * S^5 * R^-1 * S^-2, S^-2 * 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^-1 ] R193.5 : Type {3,12}_48 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-6 * R * S^-1 * R * S^-1 * R * S^5 * R^-1 * S^-2, S^-1 * R * S^-3 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-1 ] R193.6 : Type {3,24}_16 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^4 * R^-1 * S^2 * R^-1 * S, S^-1 * R * S^-6 * R^-1 * S^2 * R^-1 * S^5 * R^-1 * S^-2 ] R193.7 : Type {3,30}_40 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-5 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^-2, S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S ] R193.8 : Type {4,6}_16 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * 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^-1 * R * S * R^-1 ] R193.9 : Type {4,7}_28 Order 7168 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R * S^-3 * R^-1 * S * R * S^-2 * R * S^-3 * R^2 * S^-3 ] R193.10 : Type {4,10}_40 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R^-1 * S^-5 * R * S^-1 * R * S^5 * R^-1 * S ] R193.11 : Type {4,12}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R193.12 : Type {4,12}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R193.13 : Type {4,12}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^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^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-3 ] R193.14 : Type {4,12}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 ] R193.15 : Type {4,16}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-2 * R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S^-1 * R * S^-1 ] R193.16 : Type {4,16}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, 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 ] R193.17 : Type {4,16}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S ] R193.18 : Type {4,16}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * 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 ] R193.19 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-1)^8 ] R193.20 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S ] R193.21 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R193.22 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R193.23 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] R193.24 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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^-5 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R193.25 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ] R193.26 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6 ] R193.27 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ] R193.28 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R193.29 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6 ] R193.30 : Type {4,16}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (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, (R * S^-3)^4 ] R193.31 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^16, S^-6 * R^-1 * S * R * S^-6 * R * S * R^-1 * S^-2 ] R193.32 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3, S^16 ] R193.33 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, S^-2 * R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S^-1 * R * S^-1 ] R193.34 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, S^16, S^-2 * R^-1 * S^2 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R193.35 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, S^2 * R * S^-4 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^3 ] R193.36 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, (R * S^-2)^4, S^16 ] R193.37 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 ] R193.38 : Type {4,16}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1, S^2 * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S ] R193.39 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, (R * S^-1)^8, S^16 ] R193.40 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-1)^8, S^16 ] R193.41 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^16 ] R193.42 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, S^16, S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R193.43 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R, S^16 ] R193.44 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2, S^16 ] R193.45 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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, S^16 ] R193.46 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R, S^16 ] R193.47 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-3 * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^16 ] R193.48 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^16 ] R193.49 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R193.50 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2, S^-2 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R ] R193.51 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S^4 ] R193.52 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^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 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R193.53 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-3 * R^-1 ] R193.54 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, S^16, R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 ] R193.55 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R193.56 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R193.57 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 ] R193.58 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, S^16, R^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-3 ] R193.59 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * S^-1 * R * S^-1 * R * S^-1 * R * S^6 ] R193.60 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S ] R193.61 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R193.62 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S * R^-1 * S * R^-1 * S ] R193.63 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S * R^-1 * S * R^-1 * S ] R193.64 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R193.65 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 ] R193.66 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-3)^4 ] R193.67 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R193.68 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] R193.69 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-1 ] R193.70 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S * R^-1 * S * R^-1 * S ] R193.71 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-1 ] R193.72 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R193.73 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^2 ] R193.74 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] R193.75 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S * R^-1 * S * R^-1 * S ] R193.76 : Type {4,16}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S, S^-3 * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-3 ] R193.77 : Type {4,16}_16 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, R * S^-2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 ] R193.78 : Type {4,16}_16 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R^-1 ] R193.79 : Type {4,16}_32 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1 * R * S^-1)^2, S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R193.80 : Type {4,16}_32 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1 * R * S^-1)^2, R * S^3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R193.81 : Type {4,16}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, S^-1 * R^-2 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R^-2 * S^-1 ] R193.82 : Type {4,16}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * 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 ] R193.83 : Type {4,20}_12 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^7 ] R193.84 : Type {4,20}_24 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R193.85 : Type {4,20}_24 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-2 * R^-1 * S^5 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R193.86 : Type {4,28}_112 Order 3584 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^28 ] R193.87 : Type {4,52}_104 Order 3328 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^52 ] R193.88 : Type {4,100}_200 Order 3200 mV = 25 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^100 ] R193.89 : Type {4,132}_44 Order 3168 mV = 22 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^22 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^17 ] R193.90 : Type {4,196}_196 Order 3136 mV = 49 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^196 ] R193.91 : Type {4,388}_388 Order 3104 mV = 194 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^388 ] R193.92 : Type {4,772}_386 Order 3088 mV = 772 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^193 * R^2 * S^193 ] R193.93 : Type {5,10}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1 * R)^2 ] R193.94 : Type {5,10}_6 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6 ] R193.95 : Type {5,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-3 * 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^-1 * R * S^2 ] R193.96 : Type {6,6}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R193.97 : Type {6,6}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-2 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] R193.98 : Type {6,6}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-2 * S * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^2 ] R193.99 : Type {6,6}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1 ] R193.100 : Type {6,6}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, (R * S^-1 * R)^4, R * S^-3 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1 ] R193.101 : Type {6,6}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R^-1 * S^-3 * R^2 * S^3 * R^-1 * S^2 * R^-1 ] R193.102 : Type {6,6}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R^-1 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S, (R * S^-1)^6 ] R193.103 : Type {6,6}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S^2 * R^-1 * S^-2 * R * S^-3 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S ] R193.104 : Type {6,6}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, (S^-1 * R^2 * S^-1)^3 ] R193.105 : Type {6,6}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R^-1 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S ] R193.106 : Type {6,6}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R193.107 : Type {6,6}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1 ] R193.108 : Type {6,6}_48 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S^2 * R^-1 * S^-2 * R * S^-3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R * S^-2 * R^-1 * S ] R193.109 : Type {6,6}_48 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^3 * R^-1 * S * R^-1 ] R193.110 : Type {6,6}_48 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S * R * S^-1 * R^-1 ] R193.111 : Type {6,6}_48 Order 4608 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S^-3 * R^-1 * S * R^2 * S^-3 * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-2 * S^-2 * R * S^-2 * R^2 * S^2 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 * R * S ] R193.112 : Type {6,12}_4 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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^-4 * R)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R193.113 : Type {6,12}_4 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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 * R)^4, (R * S^-1)^6, (R * S^-2)^4 ] R193.114 : Type {6,12}_4 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^12 ] R193.115 : Type {6,12}_4 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, 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^-4 * R)^2, (R * S^-1)^6 ] R193.116 : Type {6,12}_4 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, 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^-4 * R)^2, (R * S^-5)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S ] R193.117 : Type {6,12}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, S^12, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R193.118 : Type {6,12}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^12, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R193.119 : Type {6,12}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-1 * R)^4, (R * S^-4 * R)^2 ] R193.120 : Type {6,12}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-4 * R)^2, (R * S^-3 * R * S^-1)^2 ] R193.121 : Type {6,12}_8 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R193.122 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2)^4, (R * S^-5)^2, R^2 * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S^-2 ] R193.123 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4 ] R193.124 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, (R * S^-2)^4 ] R193.125 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, (R * S^-5)^2 ] R193.126 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, (R * S^-1)^6 ] R193.127 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^3 * R^-1 * S * R^-1 * S ] R193.128 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, (S^-1 * R^2 * S^-1)^3 ] R193.129 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (S^-1 * R^2 * S^-1)^3, (R * S^-3 * R * S^-1)^2 ] R193.130 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R^2 * S^-2 * R^2 * S^3 * R^-1 * S^-1 * R ] R193.131 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^2, S^-2 * R^2 * S^-2 * R^2 * S^3 * R^-1 * S^-1 * R ] R193.132 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R193.133 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, (R * S^-5)^2 ] R193.134 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R193.135 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-5)^2, S^12, R * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] R193.136 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R193.137 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-2 * S * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S^-2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R193.138 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R193.139 : Type {6,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R193.140 : Type {6,12}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12, S * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S ] R193.141 : Type {6,12}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^12, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R193.142 : Type {6,12}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^12, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R193.143 : Type {6,12}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R193.144 : Type {6,12}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, S^-1 * R^-1 * S * R^-2 * S * R^2 * S^-5, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R193.145 : Type {6,12}_16 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R193.146 : Type {6,12}_16 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^-3 * R * S^2 ] R193.147 : Type {6,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, S^12, S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S^4 * R^-2 * S^-1 * R ] R193.148 : Type {6,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-1 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S * R^-1 ] R193.149 : Type {6,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R193.150 : Type {6,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-5)^2, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R193.151 : Type {6,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R193.152 : Type {6,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S * R^-1 * S^-2 ] R193.153 : Type {6,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^4, R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S * R^-1 * S^-2 ] R193.154 : Type {6,12}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R193.155 : Type {6,12}_16 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 * R * S^-1 * R^-1 ] R193.156 : Type {6,12}_16 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 ] R193.157 : Type {6,15}_4 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2)^4, S^2 * R^2 * S^-2 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S ] R193.158 : Type {6,15}_20 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2, S^-15 ] R193.159 : Type {6,15}_40 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S^-2 * R * S^-1)^3, S^-15 ] R193.160 : Type {6,15}_120 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-15, R^2 * S * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 ] R193.161 : Type {6,39}_104 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^6 * R^-2 * S * R^3 * S^-1 * R^2 * S^-1 * R^2 * S^-3 * R * S ] R193.162 : Type {6,51}_204 Order 2448 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-51 ] R193.163 : Type {6,147}_196 Order 2352 mV = 49 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-26 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-20 ] R193.164 : Type {6,195}_390 Order 2340 mV = 65 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-195 ] R193.165 : Type {6,579}_386 Order 2316 mV = 579 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-97 * R^2 * S^-96 ] R193.166 : Type {7,7}_8 Order 3584 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^3 * S^-3 * R * S^-2, (R * S^-2 * R * S^-1 * R^2)^2 ] R193.167 : Type {8,24}_4 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-3 * R * S^-3 * R * S^-1 ] R193.168 : Type {8,24}_4 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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 * R * S^-4 * R^2 * S * R^-2 * S^-6 ] R193.169 : Type {8,24}_4 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^12 ] R193.170 : Type {8,24}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^3 * R^2 * S^-1 * R * S^-3 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R193.171 : Type {8,24}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, S^6 * R^-2 * S^-5 * R * S * R^-1 ] R193.172 : Type {8,24}_8 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-6 * R^-2 * S^5 * R^-1 * S^-1 * R ] R193.173 : Type {8,24}_8 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^3 * R^2 * S^-1 * R * S^-3 * R * S^-1 * R^-3 * S^-1 * R * S^-3 * R * S^-1 * R^2 * S^3 ] R193.174 : Type {8,24}_8 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^6 * R^-2 * S^-5 * R * S * R^-1 ] R193.175 : Type {8,24}_8 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-6 * R^-4 * S^-6 ] R193.176 : Type {8,24}_8 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^-6 * R^-4 * S^-6 ] R193.177 : Type {9,18}_4 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R^-2 * S)^3, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^3 * R^-1 ] R193.178 : Type {9,18}_4 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, 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^-1 * S)^3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R193.179 : Type {9,18}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, S * R * S^-1 * R^-4 * S * R^-2 * S * R^-1 * S ] R193.180 : Type {9,18}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, 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 ] R193.181 : Type {9,18}_16 Order 2304 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S ] R193.182 : Type {10,10}_8 Order 2560 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ] R193.183 : Type {12,12}_6 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 * S^-1)^4, R^12, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3, S^-2 * R * S^-1 * R^3 * S^2 * R^-2 * S^-1 ] R193.184 : Type {12,12}_6 Order 2304 mV = 2 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, R^12, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-1 * R^-4 * S^3 * R^-2 * S ] R193.185 : Type {12,12}_6 Order 2304 mV = 2 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, R^12, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R^-5 * S^-2 * R * S^-2 * R ] R193.186 : Type {12,12}_6 Order 2304 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^12, S^-1 * R^6 * S^-5, 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 ] R193.187 : Type {12,12}_6 Order 2304 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, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R193.188 : Type {12,12}_6 Order 2304 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^12, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2 ] R193.189 : Type {12,12}_6 Order 2304 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^12, (S^-1 * R^2 * S^-1)^3, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R193.190 : Type {12,12}_6 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, (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 ] R193.191 : Type {12,12}_6 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-2 * R^5 * S * R^-1 * S * R^-1 * S^-2 ] R193.192 : Type {12,12}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, R^3 * S^-1 * R^3 * S^-5, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R193.193 : Type {12,12}_12 Order 2304 mV = 1 mF = 1 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, R^12, S^12 ] R193.194 : Type {12,12}_12 Order 2304 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)^2, (R * S^-1)^4, R^12, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 ] R193.195 : Type {12,12}_12 Order 2304 mV = 1 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, (R * S^-3 * R * S^-1)^2, S^12 ] R193.196 : Type {12,12}_12 Order 2304 mV = 1 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 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ] R193.197 : Type {12,12}_12 Order 2304 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^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] R193.198 : Type {12,12}_12 Order 2304 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, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] R193.199 : Type {12,12}_12 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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)^2 ] R193.200 : Type {12,12}_12 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R193.201 : Type {12,12}_12 Order 2304 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^12, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^2 * S^-2 * R^2 * S^3 * R^-1 * S^-1 * R ] R193.202 : Type {12,12}_12 Order 2304 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^12, (R * S^-5)^2, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^2 * S^-2 * R^2 * S^3 * R^-1 * S^-1 * R ] R193.203 : Type {12,12}_12 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2 ] R193.204 : Type {12,12}_12 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-2 * R * S^-1 * R^4 * S^2 * R^-2 * S^-1 * R ] R193.205 : Type {12,12}_12 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, R * S^-2 * R^5 * S * R^-1 * S * R^-1 * S^-2, S^-2 * R * S^-1 * R^4 * S^2 * R^-2 * S^-1 * R ] R193.206 : Type {12,12}_24 Order 2304 mV = 1 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^4, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R193.207 : Type {12,12}_24 Order 2304 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)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^12 ] R193.208 : Type {12,12}_24 Order 2304 mV = 1 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 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ] R193.209 : Type {12,12}_24 Order 2304 mV = 1 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^12, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^-3 * R ] R193.210 : Type {12,12}_24 Order 2304 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^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R193.211 : Type {12,12}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^2 * R^-1 * S * R^4 * S^2 * R^-1 * S * R^-2 ] R193.212 : Type {12,12}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (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 ] R193.213 : Type {12,12}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R193.214 : Type {12,12}_24 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (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 ] R193.215 : Type {12,12}_24 Order 2304 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^12, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 ] R193.216 : Type {12,12}_24 Order 2304 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^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-3 * R^2 * S * R^-1 * S^-3 * R * S^-1 * R * S^-2 ] R193.217 : Type {12,12}_24 Order 2304 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^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-1 * S * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R193.218 : Type {12,12}_24 Order 2304 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^3 * S^2 * R^-2, S * R * S^-3 * R * S^4, R^12, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-2 * R ] R193.219 : Type {12,12}_24 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-3 * R^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R ] R193.220 : Type {12,12}_24 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, 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 ] R193.221 : Type {12,12}_24 Order 2304 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^-3)^2, R^12, S^12, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] R193.222 : Type {12,28}_28 Order 2016 mV = 7 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^28 ] R193.223 : Type {12,60}_20 Order 1920 mV = 10 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^10 * R * S^-1 * R^2 * S^-1 * R * S^8 ] R193.224 : Type {12,60}_40 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, 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^-1 * S * R^2 * S^4 * R^-1 * S^-1 ] R193.225 : Type {12,60}_40 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, 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^-1 * S * R^2 * S^6 ] R193.226 : Type {12,60}_40 Order 1920 mV = 15 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^10 * R * S^-3 * R * S^7 ] R193.227 : Type {12,60}_40 Order 1920 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, 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 ] R193.228 : Type {12,60}_40 Order 1920 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^10 * R * S^-6 * R * S * R^-3 * S^-1 * R * S^2 ] R193.229 : Type {12,156}_78 Order 1872 mV = 52 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^39 * R * S^-2 * R * S^37 ] R193.230 : Type {12,156}_78 Order 1872 mV = 78 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^13 * R^5 * S^-4 * R * S^9 ] R193.231 : Type {12,156}_78 Order 1872 mV = 78 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^39 * R^-2 * S^4 * T * S^-1 * R^-4 * T * S^34 ] R193.232 : Type {14,21}_6 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R^-2 * S)^3, (R * S^-2 * R^2)^2 ] R193.233 : Type {15,30}_8 Order 1920 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R * S^-2 * R^3 * S * R^-2 * S^2, R^-15 ] R193.234 : Type {16,16}_4 Order 2048 mV = 1 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, R^16, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^2 ] R193.235 : Type {16,16}_4 Order 2048 mV = 1 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^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R193.236 : Type {16,16}_4 Order 2048 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^-2 * R^2 * S^5, R^16 ] R193.237 : Type {16,16}_4 Order 2048 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^16 ] R193.238 : Type {16,16}_4 Order 2048 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S * R^-1 * S * R^-1 * S * R^-1, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1, R^16 ] R193.239 : Type {16,16}_4 Order 2048 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^4 * R^-8 * S^4 ] R193.240 : Type {16,16}_4 Order 2048 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, R^2 * S^-1 * R^5 * S^-1 * R^2 * S * R^-1 * S, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R193.241 : Type {16,16}_4 Order 2048 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^-2 * R^5 * S * R^-2 * S^-3 ] R193.242 : Type {16,16}_4 Order 2048 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R * S^-1 * R^-5 * S * R^-1 * S^3 * R^-2 * S^-1 * R ] R193.243 : Type {16,16}_4 Order 2048 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^7 * S * R^-1 * S * R^-1 * S * R^-1, R^2 * S^-1 * R^5 * S^-1 * R^2 * S * R^-1 * S, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1 ] R193.244 : Type {16,16}_4 Order 2048 mV = 2 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^-2 * R^2 * S^5, S * R^7 * S^3 * R^-1 * S^2, R^16 ] R193.245 : Type {16,16}_4 Order 2048 mV = 2 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^6 * S^2 * R^-2 * S, S^-3 * R * S^-1 * R^3 * S * R^-2 * S^-3 ] R193.246 : Type {16,16}_4 Order 2048 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)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2, (R * S^-1)^8 ] R193.247 : Type {16,16}_4 Order 2048 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 * R^-1 * S * R^-1, R^16, (R * S^-1 * R^6)^2 ] R193.248 : Type {16,16}_8 Order 2048 mV = 1 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, R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 ] R193.249 : Type {16,16}_8 Order 2048 mV = 1 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^-2 * R)^2, S * R * S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R * S * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R193.250 : Type {16,16}_8 Order 2048 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 * S^-1 * R^4 * S^2 * R^-3, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2, R^16 ] R193.251 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^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, R^16 ] R193.252 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, (R * S^-1 * R^6)^2 ] R193.253 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^16 ] R193.254 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R * S^-1 * R^8 * S^-1 * R^2 * S^-2 * R ] R193.255 : Type {16,16}_8 Order 2048 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 * S^-3 * R^2 * S^4 * R^-1 ] R193.256 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R193.257 : Type {16,16}_8 Order 2048 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, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R193.258 : Type {16,16}_8 Order 2048 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^-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, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R193.259 : Type {16,16}_8 Order 2048 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R193.260 : Type {16,16}_8 Order 2048 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R193.261 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R193.262 : Type {16,16}_8 Order 2048 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 * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R193.263 : Type {16,16}_8 Order 2048 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 * R * S^-1 * R^4 * S^2 * R^-3, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-2 * R^5 * S * R^-2 * S^-3, S^-2 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-3 ] R193.264 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R193.265 : Type {16,16}_8 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-3 * R^2 * S^-3 * R * S ] R193.266 : Type {16,16}_8 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, 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, S * R * S^-3 * R^2 * S^-3 * R * S ] R193.267 : Type {16,16}_8 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-3 * R^2 * S^-3 * R * S ] R193.268 : Type {16,16}_8 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R * S^-3 * R^2 * S^-3 * R * S ] R193.269 : Type {16,16}_8 Order 2048 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, S * R^2 * S^-2 * R^2 * S^5 ] R193.270 : Type {16,16}_8 Order 2048 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 * R^6 * S^2 * R^-2 * S, S * R^2 * S^-2 * R^2 * S^5, R^2 * S^-1 * R^5 * S^-1 * R^2 * S * R^-1 * S ] R193.271 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R193.272 : Type {16,16}_8 Order 2048 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, R^2 * S^-1 * R^5 * S^-1 * R^2 * S * R^-1 * S ] R193.273 : Type {16,16}_8 Order 2048 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^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R193.274 : Type {16,16}_8 Order 2048 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^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R193.275 : Type {16,16}_8 Order 2048 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 * S^-2 * R^3 * S^2 * R^-1 * S * R^-1 ] R193.276 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, R^2 * S^-1 * R^5 * S^-1 * R^2 * S * R^-1 * S ] R193.277 : Type {16,16}_8 Order 2048 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 * R^6 * S^2 * R^-2 * S, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R193.278 : Type {16,16}_8 Order 2048 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^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R^7 * S * R^-1 * S * R^-1 * S * R^-1, R^2 * S^-1 * R^5 * S^-1 * R^2 * S * R^-1 * S ] R193.279 : Type {16,16}_8 Order 2048 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^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R193.280 : Type {16,16}_8 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R193.281 : Type {16,16}_8 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R193.282 : Type {16,16}_8 Order 2048 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, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R193.283 : Type {16,16}_8 Order 2048 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R193.284 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2, S * R^6 * S^2 * R^-2 * S, R^16 ] R193.285 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2, S * R * S^-1 * R^4 * S^2 * R^-3, R^16 ] R193.286 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 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, R * S^-3 * R^3 * S * R^-1 * S^-1 * R * S^-1 ] R193.287 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, R * S^-3 * R^3 * S * R^-1 * S^-1 * R * S^-1 ] R193.288 : Type {16,16}_8 Order 2048 mV = 2 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 * S^-3 * R^2 * S^4 * R^-1, S * R^7 * S^3 * R^-1 * S^2 ] R193.289 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-2 * R^5 * S * R^-2 * S^-3, S^-2 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-3 ] R193.290 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 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 * S^-1 * R * S^-1 * R^3 * S^5 * R^-1 ] R193.291 : Type {16,16}_8 Order 2048 mV = 2 mF = 2 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^-2 * R^2 * S^5 ] R193.292 : Type {16,16}_8 Order 2048 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 * R^-2 * S, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R193.293 : Type {16,16}_8 Order 2048 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, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^3 * S^-1 * R^3 * S^6, R^16 ] R193.294 : Type {16,16}_8 Order 2048 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)^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 * S^-1 * R^-5 * S^2 * R^-1 * S^-1 * R * S^2 ] R193.295 : Type {16,16}_8 Order 2048 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)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^-3 * R * S, R * S^-1 * R^-1 * S^2 * R^-4 * S^4 * R^-1 * S^-1 * R ] R193.296 : Type {16,16}_8 Order 2048 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)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, 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 ] R193.297 : Type {16,16}_8 Order 2048 mV = 2 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^-3 * R^2 * S^4 * R^-1, S * R^3 * S^-1 * R^3 * S^6 ] R193.298 : Type {16,16}_8 Order 2048 mV = 2 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^-3 * R^2 * S^-3 * R * S, S * R^3 * S^-1 * R^3 * S^6 ] R193.299 : Type {16,16}_8 Order 2048 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^-3 * R^2 * S^-3 * R * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R193.300 : Type {16,16}_8 Order 2048 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)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, 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 ] R193.301 : Type {16,16}_8 Order 2048 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)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R * S * R^-1, (R * S^-1)^8 ] R193.302 : Type {16,16}_8 Order 2048 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)^2, S * R^2 * S^-2 * R^2 * S^5, S * R * S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R * S * R^-1 ] R193.303 : Type {16,16}_8 Order 2048 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)^2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R193.304 : Type {16,16}_8 Order 2048 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^16 ] R193.305 : Type {16,16}_8 Order 2048 mV = 4 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^-3 * R * S^4, S * R^6 * S^2 * R^-2 * S, R^16 ] R193.306 : Type {16,16}_8 Order 2048 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^16, (R * S^-1 * R^6)^2 ] R193.307 : Type {16,16}_8 Order 2048 mV = 4 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^-3 * R * S^4, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R^-1 * S * R^4 * S * R^-1 * S^2 * R^-1 * S^-1 ] R193.308 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R193.309 : Type {16,16}_8 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R^7 * S^3 * R^-1 * S^2 ] R193.310 : Type {16,16}_8 Order 2048 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^4 * S^2 * R^-3, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R193.311 : Type {16,16}_8 Order 2048 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, R^16 ] R193.312 : Type {16,16}_8 Order 2048 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^2 * R * S^-1 * R^-5 * S^2 * R^-1 * S^-1 * R * S^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] R193.313 : Type {16,16}_8 Order 2048 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, S * R * S^-3 * R * S^4, S * R^7 * S^3 * R^-1 * S^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] R193.314 : Type {16,16}_16 Order 2048 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 * S^-1 * R^4 * S^2 * R^-3, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, R^16 ] R193.315 : Type {16,16}_16 Order 2048 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^16, (R * S^-1 * R^6)^2, S^16 ] R193.316 : Type {16,16}_16 Order 2048 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^16, S^16 ] R193.317 : Type {16,16}_16 Order 2048 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 * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^-5 * S * R^2 * S^6 ] R193.318 : Type {16,16}_16 Order 2048 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 * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^-5 * S^6 * R^-1 * S^-1 * R ] R193.319 : Type {16,16}_16 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R * S^-3 * R^2 * S^-3 * R * S, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1 ] R193.320 : Type {16,16}_16 Order 2048 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, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S * R * S^-3 * R^2 * S^-3 * R * S ] R193.321 : Type {16,16}_16 Order 2048 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 * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R^3 * S^-3 * R^-1 * S^2 * R^-3 * S^-2 ] R193.322 : Type {16,16}_16 Order 2048 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 * R * S^-1 * R^4 * S^2 * R^-3, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^7 * S^3 * R^-1 * S^2, S * R^3 * S^-1 * R^3 * S^6 ] R193.323 : Type {16,16}_16 Order 2048 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^4 * S^2 * R^-3, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^7 * S^3 * R^-1 * S^2, S * R^3 * S^-1 * R^3 * S^6 ] R193.324 : Type {16,16}_16 Order 2048 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^4 * S^2 * R^-3, 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, S * R^7 * S^3 * R^-1 * S^2, R^16 ] R193.325 : Type {16,16}_16 Order 2048 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, R^16, S^16 ] R193.326 : Type {16,16}_16 Order 2048 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 * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5, R^16 ] R193.327 : Type {16,16}_16 Order 2048 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^4 * S^2 * R^-3, 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, R * S^-2 * R^5 * S * R^-2 * S^-3 ] R193.328 : Type {16,16}_16 Order 2048 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^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1 ] R193.329 : Type {16,16}_16 Order 2048 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1, S * R^3 * S^-1 * R^3 * S^6 ] R193.330 : Type {16,16}_16 Order 2048 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, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-3 * R^2 * S^-3 * R * S ] R193.331 : Type {16,16}_16 Order 2048 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^-1 * R^4 * S^2 * R^-3, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-2 * R^5 * S * R^-2 * S^-3, S * R^3 * S^-1 * R^3 * S^6 ] R193.332 : Type {16,16}_16 Order 2048 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^4 * S^2 * R^-3, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, 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, S * R^7 * S^3 * R^-1 * S^2 ] R193.333 : Type {16,16}_16 Order 2048 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^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^16 ] R193.334 : Type {16,16}_16 Order 2048 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, R^16, S^16 ] R193.335 : Type {16,16}_16 Order 2048 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)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S^2 * R^-5 * S^-1 * R^2 * S^-3 ] R193.336 : Type {16,16}_16 Order 2048 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)^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^2 * R^-5 * S^-1 * R^2 * S^-3 ] R193.337 : Type {16,16}_16 Order 2048 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)^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, S * R^7 * S^3 * R^-1 * S^2 ] R193.338 : Type {16,16}_16 Order 2048 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)^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, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R193.339 : Type {16,16}_16 Order 2048 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)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^7 * S^3 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R193.340 : Type {16,16}_16 Order 2048 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)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R193.341 : Type {16,16}_16 Order 2048 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 * S * R^-1 * S^-1, R^16, R * S^3 * R * S^-1 * R^2 * S^-1 * R^-5 * S * R^-3 * S^-2 ] R193.342 : Type {16,16}_16 Order 2048 mV = 4 mF = 1 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, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^2 * S^-2 * R^2 * S^-5, R^16, R * S * R^-4 * S * R^-5 * S * R^-3 * S^-1 * R ] R193.343 : Type {16,16}_16 Order 2048 mV = 4 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^-3 * R * S^4, S^-1 * R^6 * S^2 * R^-2 * S^-1 ] R193.344 : Type {16,16}_16 Order 2048 mV = 4 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^-3 * R * S^4, S^-1 * R^6 * S^-1 * R * S^-2 * R, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2 ] R193.345 : Type {16,16}_16 Order 2048 mV = 4 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^-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, R^16 ] R193.346 : Type {16,16}_16 Order 2048 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 * 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, R^16 ] R193.347 : Type {16,16}_16 Order 2048 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^4 * S^2 * R^-3, S * R^3 * S^-1 * R^3 * S^6, R^16 ] R193.348 : Type {16,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1 ] R193.349 : Type {16,16}_16 Order 2048 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1 ] R193.350 : Type {16,16}_16 Order 2048 mV = 4 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-2 * R^5 * S * R^-2 * S^-3 ] R193.351 : Type {16,16}_16 Order 2048 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, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R193.352 : Type {16,16}_16 Order 2048 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^4 * S * R^-1 * S^-1 * R^2, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R193.353 : Type {16,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R^7 * S^3 * R^-1 * S^2 ] R193.354 : Type {16,16}_16 Order 2048 mV = 4 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^-3 * R * S^4, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S * R^7 * S^3 * R^-1 * S^2 ] R193.355 : Type {16,16}_16 Order 2048 mV = 4 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-2 * R^5 * S * R^-2 * S^-3 ] R193.356 : Type {16,16}_16 Order 2048 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R193.357 : Type {16,16}_16 Order 2048 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^16 ] R193.358 : Type {16,16}_16 Order 2048 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^16, (R * S^-1 * R^6)^2, S^16 ] R193.359 : Type {16,16}_16 Order 2048 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, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^2 * S^-2 * R^2 * S^-5, R^16, (R * S^-1 * R^6)^2 ] R193.360 : Type {16,16}_16 Order 2048 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, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-2 * R^-5 * S * R * S^-1 * R^2 * S^-4 ] R193.361 : Type {16,16}_16 Order 2048 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, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2, R^16 ] R193.362 : Type {16,16}_16 Order 2048 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^16, (R * S^-1)^8 ] R193.363 : Type {16,16}_16 Order 2048 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, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R193.364 : Type {16,16}_16 Order 2048 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 * S^-1)^8 ] R193.365 : Type {16,16}_16 Order 2048 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^16, S^16 ] R193.366 : Type {16,16}_16 Order 2048 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, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-3 * S^-1 * R^2 * S^-3 ] R193.367 : Type {16,16}_16 Order 2048 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 ] R193.368 : Type {16,16}_16 Order 2048 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^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R193.369 : Type {16,16}_16 Order 2048 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^2 * R * S^-1 * R^-5 * S^2 * R^-1 * S^-1 * R * S^2, R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2 ] R193.370 : Type {16,16}_16 Order 2048 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] R193.371 : Type {16,16}_16 Order 2048 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^2 * R * S^-1 * R^-5 * S^2 * R^-1 * S^-1 * R * S^2, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R193.372 : Type {16,16}_16 Order 2048 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^2 * R * S^-1 * R^-5 * S^2 * R^-1 * S^-1 * R * S^2, R^2 * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] R193.373 : Type {16,16}_16 Order 2048 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^16, 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 ] R193.374 : Type {16,16}_16 Order 2048 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^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R193.375 : Type {16,16}_16 Order 2048 mV = 4 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, S * R * S^-3 * R * S^4, R^16 ] R193.376 : Type {16,16}_16 Order 2048 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, S * R * S^-3 * R * S^4, R^16 ] R193.377 : Type {16,16}_16 Order 2048 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^16 ] R193.378 : Type {16,16}_16 Order 2048 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^-3)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^16 ] R193.379 : Type {16,16}_16 Order 2048 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, S * R * S^-3 * R * S^4, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R193.380 : Type {16,16}_16 Order 2048 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, S * R * S^-3 * R * S^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R193.381 : Type {16,16}_16 Order 2048 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^3 * S^-1 * R^3 * S^6, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S ] R193.382 : Type {16,112}_28 Order 1792 mV = 28 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^14 * R^2 * S * R^-1 * S^-5 * R * S^8 ] R193.383 : Type {16,112}_28 Order 1792 mV = 28 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^14 * R^4 * S^14 ] R193.384 : Type {16,112}_56 Order 1792 mV = 28 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^14 * R^-2 * S^2 * R^-1 * S^-4 * R^-1 * S^8 ] R193.385 : Type {16,112}_56 Order 1792 mV = 28 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^14 * R^3 * S^-4 * R * S^10 ] R193.386 : Type {16,112}_56 Order 1792 mV = 28 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^16, S^28 * R * S^-3 * R * S^25 ] R193.387 : Type {16,112}_56 Order 1792 mV = 28 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^28 * R * S^-3 * R * S^25 ] R193.388 : Type {16,112}_56 Order 1792 mV = 56 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^14 * R * S^-5 * R * S^9 ] R193.389 : Type {16,112}_56 Order 1792 mV = 56 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^14 * R * S^-1 * R * S^13 ] R193.390 : Type {16,112}_56 Order 1792 mV = 56 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 * R * S^-1 * R * S^27 ] R193.391 : Type {16,112}_56 Order 1792 mV = 56 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 * R^-3 * S^-3 * T * S * R^2 * T * R^-2 * S^-3 * R * S^21 ] R193.392 : Type {20,20}_6 Order 1920 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^4 * S * R^-1 * S^-3, (R * S^-3 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R193.393 : Type {20,20}_12 Order 1920 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^-3 * R^4 * S * R^-1 * S * R^-1 * S^-1, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-1)^6 ] R193.394 : Type {20,20}_12 Order 1920 mV = 2 mF = 4 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^2 * R^2 * S^2 * R^-1 * S^-1, S^-2 * R^6 * S^-2 * R * S^-2 * R, R^-1 * S * R^-1 * S * R^4 * S^6 ] R193.395 : Type {20,20}_12 Order 1920 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2, (R * S^-3 * R^2)^2 ] R193.396 : Type {24,72}_36 Order 1728 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, R^19 * S^-1 * R * S^-1 * R^2, S^18 * R * S^-5 * R * S^13 ] R193.397 : Type {24,72}_36 Order 1728 mV = 12 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^18 * R^2 * S * R^-1 * S^-5 * R * S^12 ] R193.398 : Type {24,72}_36 Order 1728 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^11 * S * R^-1 * S, S^18 * R * S^-1 * R * S^17 ] R193.399 : Type {24,72}_36 Order 1728 mV = 36 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^18 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^7 ] R193.400 : Type {27,54}_8 Order 1728 mV = 9 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, S^-5 * R^3 * S^-1 * R^12 * S^-6 ] R193.401 : Type {28,28}_8 Order 1792 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, 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 * R * S^-3 * R * S^-1 * R^8 * S^-2 * R * S^-3 * R * S^-1 * R^3 ] R193.402 : Type {30,105}_28 Order 1680 mV = 35 mF = 5 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R^-2 * S * R^-4 * S * R^-2 * S^4 ] R193.403 : Type {35,70}_6 Order 1680 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^-3 * S * R^-2 * S^-2, R^-1 * S^2 * R^-3 * S^2 * R^-1 * S^-2 ] R193.404 : Type {36,36}_6 Order 1728 mV = 12 mF = 9 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, S^3 * R^-2 * S^5 * R^-1 * S * R^-1 * S^2 * R^-7 * S^2 * R^-1 * S^2 * R^-6 * S^3 ] R193.405 : Type {36,36}_12 Order 1728 mV = 6 mF = 12 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 * S^-2 * R^3 * S^-1 * R * S^-2 * R^4 * S^-1 * R^10 * S^-1 * R^4 * S^-5 * R ] R193.406 : Type {36,36}_12 Order 1728 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^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^5 * S^-1 * R^-6 * S^-2, S^2 * R^-1 * S * R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^7 * R^-2 ] R193.407 : Type {36,36}_12 Order 1728 mV = 9 mF = 12 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, S * R^7 * S * R^-5, S^-1 * R^4 * S^-1 * R^5 * S^-1 * R^3 * S^-1 * R^2 ] R193.408 : Type {36,36}_24 Order 1728 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^3 * S^2 * R^-2, S * R^6 * S^5, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^3 * T * S^-5 * R^3 * S^-1 * R^3 * S^-1 * T * S^2 ] R193.409 : Type {52,52}_8 Order 1664 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^-19 * S^3 * R^-3 * S^6 * R^-1 * S * R^-10 * S^7 * R^-1 ] R193.410 : Type {54,135}_30 Order 1620 mV = 45 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^12 * S^-9 ] R193.411 : Type {99,198}_4 Order 1584 mV = 66 mF = 33 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^80 * S^-3 * R^10 * S^-2 * R^3 * S^-1 ] R193.412 : Type {100,100}_4 Order 1600 mV = 25 mF = 25 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^-69 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S^2 * R^-5 * S ] R193.413 : Type {132,132}_6 Order 1584 mV = 66 mF = 44 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^77 * R^-1 * S^11 * R^-6 * S * R^-14 * S * R^-2 * S * R^-2 * S^13 * R^-1 ] R193.414 : Type {132,132}_6 Order 1584 mV = 66 mF = 66 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 * R^-10 * S * R^-2 * S^3 * R^-18 * S^7 ] R193.415 : Type {196,196}_4 Order 1568 mV = 98 mF = 98 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^141 * R^-14 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-14 * S ] R193.416 : Type {387,774}_2 Order 1548 mV = 774 mF = 387 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^184 * T * S^-1 * R^2 * T * S * R^-10 * T * R^2 * T * R^-186 ] R193.417 : Type {388,388}_2 Order 1552 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, S^-1 * R^365 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * T ] R193.418 : Type {772,772}_2 Order 1544 mV = 772 mF = 772 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^182 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-187 * S ] Genus 194 R194.1 : Type {4,390}_780 Order 3120 mV = 195 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^390 ] R194.2 : Type {4,776}_776 Order 3104 mV = 776 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^194 * R^2 * S^194 ] R194.3 : Type {6,196}_588 Order 2352 mV = 98 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^196 ] R194.4 : Type {6,582}_194 Order 2328 mV = 582 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^97 * R^2 * S^97 ] R194.5 : Type {8,260}_520 Order 2080 mV = 130 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^65 * R^4 * S^3 * T * S^-2 * T * S^60 ] R194.6 : Type {10,485}_194 Order 1940 mV = 485 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-49 * R * S * R^-1 * S^-47 ] R194.7 : Type {20,88}_440 Order 1760 mV = 44 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 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^13 ] R194.8 : Type {28,210}_60 Order 1680 mV = 105 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^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^15 * R^-1 * S^-8 * R * S^7 ] R194.9 : Type {30,140}_84 Order 1680 mV = 70 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^14 * R * S^-3 * R * S^11 ] R194.10 : Type {42,60}_140 Order 1680 mV = 30 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^4)^2, R^-10 * S^-1 * R^3 * S^-1 * R^-1, S^10 * R * S^-3 * R * S^7 ] R194.11 : Type {51,136}_12 Order 1632 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^-3 * R * S^4, R^-1 * S * R^-1 * T * R^2 * S^-3 * R^2 * S^-3 * R^2 * T * R^-1 * S ] R194.12 : Type {196,392}_8 Order 1568 mV = 392 mF = 98 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^44 * R^-14 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R194.13 : Type {389,778}_2 Order 1556 mV = 778 mF = 389 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^366 * S^-2 * R^2 * T * S * R^-10 * T * R^2 * T * R^-5 * T ] R194.14 : Type {390,390}_2 Order 1560 mV = 390 mF = 390 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^367 * S^-2 * R^2 * T * S * R^-10 * T * R^2 * T * R^-5 * T ] R194.15 : Type {776,776}_2 Order 1552 mV = 776 mF = 776 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^366 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * T ] Genus 195 R195.1 : Type {4,198}_198 Order 3168 mV = 66 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^198 ] R195.2 : Type {4,392}_392 Order 3136 mV = 196 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^98 * R * S^-1 * R * S^97 ] R195.3 : Type {4,392}_392 Order 3136 mV = 196 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^392 ] R195.4 : Type {4,780}_390 Order 3120 mV = 780 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^195 * R^2 * S^195 ] R195.5 : Type {6,100}_150 Order 2400 mV = 25 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^25 * R^2 * S^2 * R^-1 * S^-1 * R * S^22 ] R195.6 : Type {8,132}_66 Order 2112 mV = 44 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^33 * R^4 * S^33 ] R195.7 : Type {8,132}_132 Order 2112 mV = 44 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^33 * R * S^-2 * R * S^31 ] R195.8 : Type {8,132}_264 Order 2112 mV = 33 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^132 ] R195.9 : Type {8,132}_264 Order 2112 mV = 66 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^132 ] R195.10 : Type {8,520}_130 Order 2080 mV = 520 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^65 * R^2 * S^65 ] R195.11 : Type {8,520}_260 Order 2080 mV = 520 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^65 * R * S^-2 * R * S^63 ] R195.12 : Type {12,80}_240 Order 1920 mV = 40 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 * R * S^-1 * R * S^19 ] R195.13 : Type {12,80}_240 Order 1920 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^80 ] R195.14 : Type {14,455}_130 Order 1820 mV = 455 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^-33 * R * S * R^-1 * S^-31 ] R195.15 : Type {22,429}_78 Order 1716 mV = 429 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^-1 * S * R^-1 * S * R^-18, S^-20 * R * S^3 * R^-1 * S^-16 ] R195.16 : Type {28,32}_224 Order 1792 mV = 16 mF = 7 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^-8 * R * S^2 * R^-1 * S^-6, R^28 ] R195.17 : Type {28,32}_224 Order 1792 mV = 16 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^32 ] R195.18 : Type {28,420}_30 Order 1680 mV = 420 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^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^15 * R^2 * S^15 ] R195.19 : Type {32,416}_26 Order 1664 mV = 416 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R195.20 : Type {32,416}_52 Order 1664 mV = 416 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^13 * R * S^-4 * R * S^9 ] R195.21 : Type {42,70}_10 Order 1680 mV = 14 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^-4 * R * S^5, R^9 * S^-5, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2 ] R195.22 : Type {51,204}_8 Order 1632 mV = 68 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^-2 * R * S^3, R^31 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-2 ] R195.23 : Type {62,403}_26 Order 1612 mV = 403 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^7 * R^-18 * S^6 ] R195.24 : Type {68,102}_6 Order 1632 mV = 34 mF = 17 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^2 * R^-2 * S^2 * R^-1 * S * R^-3 * S * R^-1 * S * R^-7 * S^2 * R^-4 * S * R^-1 * S * R^-1 * S * R^-1 ] R195.25 : Type {100,200}_8 Order 1600 mV = 100 mF = 25 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^-3 * S^43 * R^-1 * S^12 * R^-6 * S * R^-14 * S * R^-1 * S * R^-3 * S^14 ] R195.26 : Type {100,200}_8 Order 1600 mV = 100 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^48 * R^-12 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R195.27 : Type {158,395}_10 Order 1580 mV = 395 mF = 79 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^25 * R^-14 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R195.28 : Type {198,198}_4 Order 1584 mV = 66 mF = 66 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^137 * R^-1 * S * R^-14 * S^2 * R^-40 * S ] R195.29 : Type {262,393}_6 Order 1572 mV = 393 mF = 131 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^76 * R^-14 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-14 * S ] R195.30 : Type {391,782}_2 Order 1564 mV = 782 mF = 391 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^368 * S^-2 * R^2 * T * S * R^-10 * T * R^2 * T * R^-5 * T ] R195.31 : Type {392,392}_2 Order 1568 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^180 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * T * S^-189 * R ] R195.32 : Type {392,392}_4 Order 1568 mV = 392 mF = 392 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^142 * R^-14 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R195.33 : Type {780,780}_2 Order 1560 mV = 780 mF = 780 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^368 * S^-2 * R^2 * T * S * R^-10 * T * R^2 * T * R^-5 * T ] Genus 196 R196.1 : Type {3,19}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2, (S * R^-1 * S^6 * R^-1 * S)^2, (S^2 * R^-1 * S)^5 ] R196.2 : Type {3,21}_12 Order 6552 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, 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^-1 * R * S^-4)^3 ] R196.3 : Type {3,21}_14 Order 6552 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, (S^-1 * R * S^-4)^3, (S * R^-1 * S)^7 ] R196.4 : Type {3,21}_26 Order 6552 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, (S^-1 * R * S^-4)^3, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^-2 * R * S ] R196.5 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^14, S^2 * R * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^-4 * R * S^2 ] R196.6 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^14, S^-2 * R^-1 * S^4 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-4 ] R196.7 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (S^-1 * R)^7 ] R196.8 : Type {4,30}_4 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, S^-30 ] R196.9 : Type {4,394}_788 Order 3152 mV = 197 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^394 ] R196.10 : Type {4,784}_784 Order 3136 mV = 784 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^196 * R^2 * S^196 ] R196.11 : Type {6,16}_10 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^3 * S^-3, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S, S^2 * R * S^-3 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^-3 * R * S ] R196.12 : Type {6,68}_68 Order 2448 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^68 ] R196.13 : Type {6,198}_198 Order 2376 mV = 66 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^198 ] R196.14 : Type {6,198}_198 Order 2376 mV = 99 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^198 ] R196.15 : Type {6,588}_196 Order 2352 mV = 588 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^98 * R * S^-1 * R * S^97 ] R196.16 : Type {10,100}_100 Order 2000 mV = 20 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^100 ] R196.17 : Type {10,100}_100 Order 2000 mV = 50 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^100 ] R196.18 : Type {10,490}_98 Order 1960 mV = 490 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^49 * R * S^-3 * R * S^46 ] R196.19 : Type {16,58}_464 Order 1856 mV = 29 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^58 ] R196.20 : Type {18,441}_98 Order 1764 mV = 441 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^-1 * S * R^-15 * S, S^-25 * R * S^2 * R^-1 * S^-22 ] R196.21 : Type {30,30}_30 Order 1800 mV = 5 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, R^-1 * S * R^5 * S^-1 * R^-3 * S^2 * R^-1 * S^-2, S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^3 * R^-1 * S ] R196.22 : Type {30,30}_30 Order 1800 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 * S^2, R * S^-1 * R^5 * S^-1 * R^5 * S^-1 * R^8 * S^-1 * R^7, R^30 ] R196.23 : Type {30,30}_30 Order 1800 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^-1 * R^2 * S^-1 * R^2 * S^-4, R^30 ] R196.24 : Type {30,30}_30 Order 1800 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^2 * S^2 * R^-1, (R * S^-1 * R^4)^2, S^4 * R * S^-1 * R * S^5, R^30 ] R196.25 : Type {30,30}_30 Order 1800 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^30 ] R196.26 : Type {30,420}_28 Order 1680 mV = 420 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^2, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R196.27 : Type {36,48}_144 Order 1728 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, (R * S^-1 * R^4)^2, S^8 * R * S^-1 * R * S^7, R^-1 * S * R^16 * S^7 * R^-1 ] R196.28 : Type {36,48}_144 Order 1728 mV = 24 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-7 * T * S^4 * T * S^-1 * R^-9 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R196.29 : Type {58,406}_14 Order 1624 mV = 406 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 * S^-6 * R * S^2, R^18 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^15 ] R196.30 : Type {100,400}_16 Order 1600 mV = 400 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^-2 * R^-1 * S^7 * R^-1 * S^-7, S^7 * R^-3 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-14 * S ] R196.31 : Type {114,399}_14 Order 1596 mV = 399 mF = 57 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^-6 * R * S^2, S^7 * R^-10 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-15 ] R196.32 : Type {198,396}_4 Order 1584 mV = 396 mF = 99 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^144 * R^-14 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R196.33 : Type {393,786}_2 Order 1572 mV = 786 mF = 393 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^370 * T * S^-1 * R^2 * T * S * R^-10 * T * R^2 * T * R^-6 ] R196.34 : Type {394,394}_2 Order 1576 mV = 394 mF = 394 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^187 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-192 ] R196.35 : Type {784,784}_2 Order 1568 mV = 784 mF = 784 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^180 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * T * S^-190 ] Genus 197 R197.1 : Type {4,8}_28 Order 6272 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^2 * S^2 * R^2 * S^-1 * R * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^2 * S^2 * R^-1 ] R197.2 : Type {4,8}_56 Order 6272 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^2 * S^2 * R^2 * S^-1 * R * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^2 * S^2 * R^-1 ] R197.3 : Type {4,12}_84 Order 4704 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^14 ] R197.4 : Type {4,20}_70 Order 3920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-2 * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * 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 ] R197.5 : Type {4,102}_204 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^102 ] R197.6 : Type {4,200}_100 Order 3200 mV = 50 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^50 * R^2 * S * R^-1 * S^-1 * R * S^48 ] R197.7 : Type {4,200}_200 Order 3200 mV = 50 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^200 ] R197.8 : Type {4,396}_396 Order 3168 mV = 198 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^396 ] R197.9 : Type {4,788}_394 Order 3152 mV = 788 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^197 * R^2 * S^197 ] R197.10 : Type {6,6}_28 Order 4704 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R197.11 : Type {6,15}_70 Order 2940 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-15, R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R ] R197.12 : Type {6,52}_156 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^52 ] R197.13 : Type {6,150}_100 Order 2400 mV = 50 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^25 * R * S^-1 * R^2 * S^-1 * R * S^23 ] R197.14 : Type {6,591}_394 Order 2364 mV = 591 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-99 * R * S * R^-1 * S^-97 ] R197.15 : Type {8,8}_28 Order 3136 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^3 * S * R^-1 * S^3 * R^-1 ] R197.16 : Type {8,8}_28 Order 3136 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * 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 * R * S^-1 * R * S^-1 ] R197.17 : Type {8,8}_28 Order 3136 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, (R * S^-1)^14 ] R197.18 : Type {8,12}_4 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-4 * R)^2, (R * S^-5)^2, S^-3 * R^-2 * S * R^-2 * S^-1 * R^3 * S^-1 * R ] R197.19 : Type {8,12}_4 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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 * R * S^-1 * R)^2 ] R197.20 : Type {8,12}_6 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, R^2 * S^-2 * R^3 * S^3 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R197.21 : Type {8,12}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R197.22 : Type {8,12}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R)^4 ] R197.23 : Type {8,12}_12 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^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 ] R197.24 : Type {8,12}_14 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R * S^-1 * R^-3 * S * R^4 * S * R^-3 * S^-1 * R ] R197.25 : Type {8,12}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-2 * R * S^-1 * R * S^-1)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^2 ] R197.26 : Type {8,12}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^2 ] R197.27 : Type {8,12}_28 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, R * S^-1 * R^-3 * S * R^4 * S * R^-3 * S^-1 * R ] R197.28 : Type {8,68}_68 Order 2176 mV = 17 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^68 ] R197.29 : Type {8,68}_136 Order 2176 mV = 17 mF = 2 Defining relations for automorphism group: [ R^8, 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^68 ] R197.30 : Type {8,264}_132 Order 2112 mV = 132 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^66 * R * S^-1 * R * S^65 ] R197.31 : Type {8,264}_132 Order 2112 mV = 132 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^66 * R^4 * S^3 * T * S^-2 * T * S^61 ] R197.32 : Type {12,12}_14 Order 2352 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^2 * 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^2 ] R197.33 : Type {12,12}_14 Order 2352 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^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 * R^-2 * S^-2 * R^2 * S ] R197.34 : Type {12,120}_20 Order 1920 mV = 30 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^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R197.35 : Type {12,120}_20 Order 1920 mV = 40 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^10 * R * S^-1 * R^2 * S^-5 * R^-1 * S^4 ] R197.36 : Type {12,120}_40 Order 1920 mV = 30 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^20 * R^4 * S^20 ] R197.37 : Type {12,120}_40 Order 1920 mV = 40 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^10 * R * S^-1 * R^2 * S^-5 * R^-1 * S^4 ] R197.38 : Type {15,40}_12 Order 1920 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^-3 * R^-3 * S^-5, S^-2 * R * S^-2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-2 ] R197.39 : Type {18,18}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^5 * S * R^-1 * S^-3 ] R197.40 : Type {20,20}_14 Order 1960 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, R^-1 * S * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R197.41 : Type {20,24}_4 Order 1920 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^-2 * R^2)^2, (R * S^-1 * R)^4 ] R197.42 : Type {20,24}_8 Order 1920 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^-4 * R)^2, (R * S^-5)^2, R^8 * S^-1 * R * S * R^-1 * S^-2 ] R197.43 : Type {20,24}_30 Order 1920 mV = 4 mF = 5 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 * S^2 * R^-1 * S^-1, S * R * S^-5 * R * S^6, R * S^-1 * R^-6 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R197.44 : Type {20,24}_40 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^9 * S^2 * R^-1 * S^2, R * S^-1 * R^6 * S^-1 * R * S * R^-2 * S ] R197.45 : Type {20,24}_40 Order 1920 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^4 * S * R^-1 * S^-1 * R^2 ] R197.46 : Type {20,24}_60 Order 1920 mV = 4 mF = 5 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 * S^2 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^-7 * S^4 * R^-1 ] R197.47 : Type {20,24}_60 Order 1920 mV = 6 mF = 5 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^4 * R * S^-2 * R^-2 * S^-2 * R * S^4, R^20 ] R197.48 : Type {20,24}_120 Order 1920 mV = 4 mF = 5 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^9 * S^-2 * R * S^-2, S^24 ] R197.49 : Type {20,24}_120 Order 1920 mV = 4 mF = 5 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^2 * S^3 * T * S^-3 * R^-1 * S * R^6 * S^3 * T * S^-1 * R^-1 * S ] R197.50 : Type {20,24}_120 Order 1920 mV = 6 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, R^20, S^24 ] R197.51 : Type {20,220}_44 Order 1760 mV = 110 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 * R^-17 * S, S^22 * R * S^-1 * R * S^21 ] R197.52 : Type {42,105}_20 Order 1680 mV = 35 mF = 7 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-1 * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-2, R^2 * S^-3 * R^12 * S^-1 * R^2 * S^-1 ] R197.53 : Type {52,104}_4 Order 1664 mV = 26 mF = 13 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^25 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R197.54 : Type {52,104}_8 Order 1664 mV = 26 mF = 13 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^18 * S^-1 * R^2 * S^-3 * R * S^-2 * T * S * R^-2 * S * R^-4 * S * R^-2 * S * T * S^-2 * R * S^-3 * R^2 * S^-1 * R^4 ] R197.55 : Type {68,204}_12 Order 1632 mV = 102 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R * S^-13 * R^15 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^13 * S^-1 ] R197.56 : Type {102,102}_4 Order 1632 mV = 34 mF = 34 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^84 * S^-2 * R^10 * S^-2 * R^4 ] R197.57 : Type {200,200}_4 Order 1600 mV = 100 mF = 100 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^145 * R^-14 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-14 * S ] R197.58 : Type {200,200}_4 Order 1600 mV = 100 mF = 100 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^-69 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S^2 * R^-4 * S^2 ] R197.59 : Type {395,790}_2 Order 1580 mV = 790 mF = 395 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^192 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-187 ] R197.60 : Type {396,396}_2 Order 1584 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^-1 * S^374 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-6 ] R197.61 : Type {788,788}_2 Order 1576 mV = 788 mF = 788 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^187 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-191 * R ] Genus 198 R198.1 : Type {4,201}_402 Order 3216 mV = 67 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-201 ] R198.2 : Type {4,398}_796 Order 3184 mV = 199 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^398 ] R198.3 : Type {4,792}_792 Order 3168 mV = 792 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^198 * R^2 * S^198 ] R198.4 : Type {6,200}_600 Order 2400 mV = 100 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^200 ] R198.5 : Type {8,134}_536 Order 2144 mV = 67 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^134 ] R198.6 : Type {10,495}_198 Order 1980 mV = 495 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-50 * R * S^2 * R^-1 * S^-47 ] R198.7 : Type {12,160}_480 Order 1920 mV = 80 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 * R^3 * S^-4 * T * R^-2 * T * R * S^36 ] R198.8 : Type {14,68}_476 Order 1904 mV = 34 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^68 ] R198.9 : Type {14,462}_66 Order 1848 mV = 462 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^33 * R * S^-4 * R * S^29 ] R198.10 : Type {20,46}_460 Order 1840 mV = 23 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^46 ] R198.11 : Type {20,440}_88 Order 1760 mV = 440 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 * R^-17 * S, S^22 * R^-1 * S^-7 * R * S^15 ] R198.12 : Type {24,38}_456 Order 1824 mV = 19 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^38 ] R198.13 : Type {26,429}_66 Order 1716 mV = 429 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-17 * R * S^10 * R^-1 * S^-6 ] R198.14 : Type {38,418}_22 Order 1672 mV = 418 mF = 19 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^6, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R198.15 : Type {42,140}_60 Order 1680 mV = 70 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^9 * S^-1 * R^3 * S^-1, S^10 * R^-3 * S^-1 * R^2 * S^-3 * R^-1 * S^6 ] R198.16 : Type {46,414}_18 Order 1656 mV = 414 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^-2 * R^-1 * S^8 * R^-1 * S^-8, (R^10 * S^-1 * R * S^-1 * R^10)^2 ] R198.17 : Type {60,70}_84 Order 1680 mV = 35 mF = 30 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^7 * S * R^-5, S * R * S^-11 * R * S^2 ] R198.18 : Type {68,408}_24 Order 1632 mV = 408 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^2 * S^-1 * R^20 * S^-6 ] R198.19 : Type {74,407}_22 Order 1628 mV = 407 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^7 * R^-19 * S * R^-1 * S * R^-4 * S^4 ] R198.20 : Type {102,136}_12 Order 1632 mV = 34 mF = 34 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, R^-3 * T * R^2 * S^-3 * R^2 * S^-2 * R * S^-1 * R * S^-1 * T * S ] R198.21 : Type {102,136}_24 Order 1632 mV = 68 mF = 51 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^7 * S * R^-5, R * S^-2 * R * S^-4 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-6 * R^2 ] R198.22 : Type {134,402}_6 Order 1608 mV = 402 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, R^-1 * S^79 * R^-14 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-14 * S ] R198.23 : Type {201,201}_4 Order 1608 mV = 67 mF = 67 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^41 * S^-2 * R^14 * S^-1 * R * S^-138 * R^2 ] R198.24 : Type {266,399}_6 Order 1596 mV = 399 mF = 133 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^77 * R^-14 * S * R^-1 * S * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-14 * S ] R198.25 : Type {397,794}_2 Order 1588 mV = 794 mF = 397 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^374 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-2 * S * T ] R198.26 : Type {398,398}_2 Order 1592 mV = 398 mF = 398 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^184 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-193 ] R198.27 : Type {792,792}_2 Order 1584 mV = 792 mF = 792 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^374 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-5 * S ] Genus 199 R199.1 : Type {3,72}_6 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^12 * R * S^-23 * R * S^13 ] R199.2 : Type {4,10}_6 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (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^-2)^2 ] R199.3 : Type {4,10}_12 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-2 ] R199.4 : Type {4,10}_12 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S ] R199.5 : Type {4,10}_22 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R ] R199.6 : Type {4,15}_8 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-3 * R * S^-3 * R * S^-3 * R * S * R^-1 * S^-1 ] R199.7 : Type {4,15}_24 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R199.8 : Type {4,48}_48 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^48 ] R199.9 : Type {4,48}_48 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^12 * R * S^-5 * R * S^7 ] R199.10 : Type {4,48}_48 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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^8 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^2 ] R199.11 : Type {4,48}_48 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^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^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 ] R199.12 : Type {4,48}_48 Order 3456 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^48 ] R199.13 : Type {4,48}_48 Order 3456 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^7 * R * S^-7 * R * S^2 ] R199.14 : Type {4,48}_48 Order 3456 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] R199.15 : Type {4,48}_48 Order 3456 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-5 * R^-1 * S^6 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-6 ] R199.16 : Type {4,70}_42 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^6 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R199.17 : Type {4,92}_138 Order 3312 mV = 23 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^23 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^18 ] R199.18 : Type {4,400}_400 Order 3200 mV = 200 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^100 * R * S^-1 * R * S^99 ] R199.19 : Type {4,400}_400 Order 3200 mV = 200 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^400 ] R199.20 : Type {4,796}_398 Order 3184 mV = 796 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^199 * R^2 * S^199 ] R199.21 : Type {5,7}_6 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-2 * R^-1 * S * R^-2 * S^2 * R^-2 * S^2 ] R199.22 : Type {5,7}_10 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] R199.23 : Type {6,36}_6 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 ] R199.24 : Type {6,36}_6 Order 2592 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, 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^-6 * R^-1 * S^11 * R^-1 * S^-7 ] R199.25 : Type {6,36}_18 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] R199.26 : Type {6,36}_18 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-4 * R, S^-7 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-8 ] R199.27 : Type {6,36}_18 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^-3 * R^-1 * S * R * S^-5 * R^-2 * S^-5 * R * S * R^-1 * S^-3 ] R199.28 : Type {6,36}_24 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^4 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^5 * R^-1 * S ] R199.29 : Type {6,36}_24 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-5 * R * S^6, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1 * R * S^2, R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * R * S^-1 * R * S^2 ] R199.30 : Type {6,69}_138 Order 2484 mV = 23 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-69 ] R199.31 : Type {6,201}_402 Order 2412 mV = 67 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-201 ] R199.32 : Type {6,597}_398 Order 2388 mV = 597 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-100 * R^2 * S^-99 ] R199.33 : Type {8,10}_4 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^10, 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-1)^6, (R * S^-2)^4, S^-2 * R^-3 * S * R^4 * S * R^-3 * S^-2 ] R199.34 : Type {8,10}_4 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^10, 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 * R)^2, (R * S^-4)^2 ] R199.35 : Type {8,10}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-3 * R * S^-2 * R ] R199.36 : Type {8,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S * R^-3 * S * R^4 * S * R^-3 * S, R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, (R * S^-4 * R)^2 ] R199.37 : Type {8,10}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1, (R * S^-2 * R * S^-1 * R^2)^2 ] R199.38 : Type {8,10}_10 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R199.39 : Type {8,10}_10 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (S * R^-1 * S)^3, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R199.40 : Type {8,10}_10 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^-3 * S^-2 * R * S^-2, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R199.41 : Type {8,10}_16 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-4 * R^4 * S^-1, R^-2 * S^2 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-2 * S^2 ] R199.42 : Type {8,32}_96 Order 2304 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^6, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] R199.43 : Type {8,32}_96 Order 2304 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] R199.44 : Type {9,12}_8 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, R * S^-3 * R^3 * S^2 * R^-1 * S^-1 * R ] R199.45 : Type {9,12}_24 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (R * S^-5)^2, S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S ] R199.46 : Type {9,12}_24 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^3 * R^-2 * S^-2 ] R199.47 : Type {9,12}_24 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2 ] R199.48 : Type {9,12}_72 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-3 ] R199.49 : Type {9,12}_72 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S * R^-1 * S^-1 ] R199.50 : Type {10,10}_6 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2, (R * S^-1)^6 ] R199.51 : Type {10,10}_10 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-2 * R^4 * S * R^-2 * S^3 ] R199.52 : Type {10,10}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-2 * R^3)^2, (R * S^-3 * R^2)^2 ] R199.53 : Type {10,10}_10 Order 2640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, (R * S^-1)^6, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] R199.54 : Type {10,10}_12 Order 2640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, (S^-1 * R^2 * S^-1)^3 ] R199.55 : Type {12,20}_30 Order 2160 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, (R * S^-3)^2, R^12, (R * S^-1)^6, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S^-2 ] R199.56 : Type {12,20}_30 Order 2160 mV = 5 mF = 3 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, R^12, (R * S^-1)^6, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S^-2 ] R199.57 : Type {12,42}_8 Order 2016 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, R^12, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-4 * R^-3 * S^2 * R^-1 * S * R^-1 * S^-1 ] R199.58 : Type {12,42}_8 Order 2016 mV = 6 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, R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-2 * R^2 * S^-2, S^2 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R199.59 : Type {12,42}_42 Order 2016 mV = 7 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^42 ] R199.60 : Type {12,42}_42 Order 2016 mV = 14 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^42 ] R199.61 : Type {12,42}_168 Order 2016 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-11 * R^-1 * S^6 * R^-4 * S * R * S^-3 ] R199.62 : Type {12,240}_80 Order 1920 mV = 120 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^20 * R * S^-1 * R * S^19 ] R199.63 : Type {12,240}_80 Order 1920 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^40 * R * S^-3 * R * S^37 ] R199.64 : Type {15,15}_10 Order 2160 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, R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1 ] R199.65 : Type {15,15}_10 Order 2160 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)^4, S^-1 * R^5 * S^-4, S^-3 * R^-4 * S * R^-4 * S^-1 ] R199.66 : Type {36,72}_6 Order 1728 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^3 * S^2 * R^-2, S * R * S^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^4 * S^-1 * R^5 * S^-1 * R^3 * S^-1 * R^2 ] R199.67 : Type {36,72}_12 Order 1728 mV = 18 mF = 12 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^-1 * S * R^-1 * S * R^-6 * S^2 * R^-1 * S * R^-1 * S ] R199.68 : Type {36,72}_24 Order 1728 mV = 12 mF = 9 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^-5 * R * S^6, R^3 * S^-1 * R^2 * S^-3 * R * S^-2 * T * S * R^-2 * S * R^-4 * S * R^-2 * S * T * S^-2 * R * S^-3 * R^2 * S^-1 * R^3 ] R199.69 : Type {36,72}_24 Order 1728 mV = 12 mF = 18 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^-3 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-4 * S, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R199.70 : Type {36,72}_24 Order 1728 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 * S^2, R^-1 * S * R^13 * S * R^-10, R^4 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-5 * R^2 ] R199.71 : Type {36,72}_24 Order 1728 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, S * R^7 * S * R^-5, S^2 * R^-1 * S * R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^4 * R^-1 * S * R^-3 ] R199.72 : Type {48,48}_6 Order 1728 mV = 8 mF = 8 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^5, R * S^-2 * R^9 * S^-2 * R^2 ] R199.73 : Type {48,48}_6 Order 1728 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^6 * S^5, S^-1 * R * S^-1 * R^13 * S^-3 * R * S^-6 * R^14 * S^-4 * R^3 * S^-1 ] R199.74 : Type {48,48}_6 Order 1728 mV = 8 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^15 * S^-2 * R * S^-1 * R * S^-2 * R^3 * S^-1 * R * S^-1 * R^11 * S^-4 * R^2 * S^-3 ] R199.75 : Type {48,48}_6 Order 1728 mV = 12 mF = 12 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^9 * S^-3 * R * S^-3 ] R199.76 : Type {48,48}_6 Order 1728 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^2 * S^-1 * R^13 * S^-2 * R * S^-8 * R^10 * S^-2 * R * S^-3 * R^2 * S^-1 * R * S^-1 ] R199.77 : Type {48,48}_12 Order 1728 mV = 8 mF = 8 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, R * S^-2 * R^4 * S^-2 * R * S^2 ] R199.78 : Type {48,48}_12 Order 1728 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^7 * S * R^-5, S * R * S^-5 * R * S^6, R^-2 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S^6 * R^-1 ] R199.79 : Type {48,48}_12 Order 1728 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^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, S * R^7 * S * R^-5, S^-1 * R^2 * S^-1 * R * S^-1 * R^7 * S^-1 * R^4 * S^-1 * R^2 * S^-3 ] R199.80 : Type {48,48}_12 Order 1728 mV = 12 mF = 12 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, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R199.81 : Type {48,48}_12 Order 1728 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R^-2 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-7 * S * R^-1 * S^2 * R^-1 * S ] R199.82 : Type {52,208}_16 Order 1664 mV = 104 mF = 13 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^3 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R^5 * S^-1 * R^2 * S^-6 * T * S * R^-8 * S^3 * T * S^-1 * R^2 * S^-4 * R^5 * S^-1 ] R199.83 : Type {52,208}_16 Order 1664 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-1 * S * R^-11 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-12 * S ] R199.84 : Type {60,84}_70 Order 1680 mV = 42 mF = 30 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^-1 * S^5 * R^9 * S^-7 ] R199.85 : Type {70,70}_6 Order 1680 mV = 14 mF = 14 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R^7 * S^-1 * R^2 * S^-1 * R^2 ] R199.86 : Type {92,92}_6 Order 1656 mV = 23 mF = 23 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 * R^-1 * S * R^-13 * S * R^-3 * S * R^-1 * S^3 * R^-1 * S^2 * R^-10 * S^8 ] R199.87 : Type {102,204}_8 Order 1632 mV = 68 mF = 34 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^-1 * R^28 * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^11 * S^-2 ] R199.88 : Type {135,270}_6 Order 1620 mV = 135 mF = 45 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^79 * R^-1 * S^12 * R^-6 * S * R^-14 * S * R^-2 * S * R^-2 * S^14 ] R199.89 : Type {399,798}_2 Order 1596 mV = 798 mF = 399 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^193 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-5 * S * R^-184 ] R199.90 : Type {400,400}_2 Order 1600 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^185 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-193 * R ] R199.91 : Type {400,400}_4 Order 1600 mV = 400 mF = 400 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^146 * R^-14 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R199.92 : Type {796,796}_2 Order 1592 mV = 796 mF = 796 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^184 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-192 * R ] Genus 200 R200.1 : Type {4,402}_804 Order 3216 mV = 201 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^402 ] R200.2 : Type {4,800}_800 Order 3200 mV = 800 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^200 * R^2 * S^200 ] R200.3 : Type {6,202}_606 Order 2424 mV = 101 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^202 ] R200.4 : Type {6,600}_200 Order 2400 mV = 600 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^100 * R^2 * S^100 ] R200.5 : Type {8,69}_276 Order 2208 mV = 23 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-69 ] R200.6 : Type {8,268}_536 Order 2144 mV = 134 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^67 * R^4 * S^3 * T * S^-2 * T * S^62 ] R200.7 : Type {10,102}_510 Order 2040 mV = 51 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^102 ] R200.8 : Type {12,82}_492 Order 1968 mV = 41 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^82 ] R200.9 : Type {12,480}_160 Order 1920 mV = 480 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^40 * R^2 * S^40 ] R200.10 : Type {16,116}_464 Order 1856 mV = 58 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^29 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S^22 ] R200.11 : Type {18,52}_468 Order 1872 mV = 26 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^52 ] R200.12 : Type {18,450}_50 Order 1800 mV = 450 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^-1 * S * R^-15 * S, S^25 * R^-1 * S^-7 * R * S^18 ] R200.13 : Type {22,42}_462 Order 1848 mV = 21 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^42 ] R200.14 : Type {22,440}_40 Order 1760 mV = 440 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^-1 * S * R^-1 * S * R^-18, S^20 * R^-1 * S^-9 * R * S^11 ] R200.15 : Type {34,425}_50 Order 1700 mV = 425 mF = 17 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^4, S^-13 * R * S^4 * R^-1 * S^-8 ] R200.16 : Type {40,44}_440 Order 1760 mV = 22 mF = 20 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^-1 * R * S * R^-1 * S^-2 * T * S^4 * T * R^-1 * S * R^7 * S^-5 * T * R^6 * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R200.17 : Type {42,420}_20 Order 1680 mV = 420 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^8 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^8 ] R200.18 : Type {52,416}_32 Order 1664 mV = 416 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^-7 * R^10 * S^-9 ] R200.19 : Type {70,84}_60 Order 1680 mV = 42 mF = 35 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^11 * S^-1 * R * S^-1, S * R * S^-5 * R * S^6 ] R200.20 : Type {82,410}_10 Order 1640 mV = 410 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, R^41 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^15 ] R200.21 : Type {102,408}_8 Order 1632 mV = 408 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^-3 * R * S^4, R^63 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^14 ] R200.22 : Type {136,204}_24 Order 1632 mV = 102 mF = 68 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^-5 * R * S^6, S^-3 * R * S^-3 * R * S^-2 * T * S * R^-2 * S * R^-4 * S * R^-2 * S * T * S^-2 * R * S^-4 * R^3 * S^-2 ] R200.23 : Type {162,405}_10 Order 1620 mV = 405 mF = 81 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^37 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^14 * S^-1 ] R200.24 : Type {202,404}_4 Order 1616 mV = 404 mF = 101 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^148 * R^-14 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-15 ] R200.25 : Type {401,802}_2 Order 1604 mV = 802 mF = 401 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^194 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-5 * S * R^-184 * S ] R200.26 : Type {402,402}_2 Order 1608 mV = 402 mF = 402 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^186 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-195 ] R200.27 : Type {800,800}_2 Order 1600 mV = 800 mF = 800 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^185 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-194 ] Genus 201 R201.1 : Type {3,12}_40 Order 9600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R201.2 : Type {3,30}_20 Order 6000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (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)^10 ] R201.3 : Type {3,30}_20 Order 6000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (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 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S, (S * R^-1 * S)^10 ] R201.4 : Type {4,8}_20 Order 6400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R * S^-1 ] R201.5 : Type {4,8}_40 Order 6400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R^-1 * S^-1 * R * S^-1 * R * S^-2 * 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 * R^-1 * S^2 * R^-1 * S * R^-2 ] R201.6 : Type {4,8}_40 Order 6400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^20 ] R201.7 : Type {4,8}_40 Order 6400 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R * S^-1 * R * S^-1 * 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 * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R201.8 : Type {4,12}_30 Order 4800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S ] R201.9 : Type {4,12}_60 Order 4800 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^-2 * R^2 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-2 * R^-1 * S * R^-1 ] R201.10 : Type {4,20}_20 Order 4000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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)^10, S^20 ] R201.11 : Type {4,20}_20 Order 4000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1, (R * S^-1)^10 ] R201.12 : Type {4,20}_20 Order 4000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^10, S^20 ] R201.13 : Type {4,20}_20 Order 4000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R^-1, (R * S^-1)^10 ] R201.14 : Type {4,24}_20 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S * R * S^-5 * R * S^6 ] R201.15 : Type {4,24}_20 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, (R * S^-5)^2 ] R201.16 : Type {4,24}_40 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R201.17 : Type {4,24}_40 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 ] R201.18 : Type {4,36}_90 Order 3600 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-5 ] R201.19 : Type {4,54}_54 Order 3456 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^54 ] R201.20 : Type {4,54}_216 Order 3456 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^54 ] R201.21 : Type {4,104}_52 Order 3328 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^26 * R^2 * S * R^-1 * S^-1 * R * S^24 ] R201.22 : Type {4,104}_104 Order 3328 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^26 * R^2 * S * R^-1 * S^-5 * R * S^20 ] R201.23 : Type {4,104}_104 Order 3328 mV = 26 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^104 ] R201.24 : Type {4,104}_104 Order 3328 mV = 26 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^26 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^17 ] R201.25 : Type {4,204}_102 Order 3264 mV = 68 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^51 * R * S^-2 * R * S^49 ] R201.26 : Type {4,204}_204 Order 3264 mV = 51 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^204 ] R201.27 : Type {4,204}_204 Order 3264 mV = 68 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^204 ] R201.28 : Type {4,404}_404 Order 3232 mV = 202 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^404 ] R201.29 : Type {4,804}_402 Order 3216 mV = 804 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^201 * R^2 * S^201 ] R201.30 : Type {5,20}_20 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R^2 * S^-3 * R^2 * S^6, S * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S ] R201.31 : Type {5,20}_20 Order 3200 mV = 5 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R201.32 : Type {5,20}_40 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R201.33 : Type {6,6}_40 Order 4800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R201.34 : Type {6,8}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S^-4 * R^3 * S^4 * R^-2, R * S^-1 * R * S^-2 * R^-2 * S^4 * R * S^-2 ] R201.35 : Type {6,8}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-2 * S^-4 * R^-2 * S^4 * R^-2 * S^-2 ] R201.36 : Type {6,8}_40 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R201.37 : Type {6,28}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-2)^4, (R * S^-6)^2 ] R201.38 : Type {6,28}_14 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-2 * S * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R201.39 : Type {6,28}_16 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R201.40 : Type {6,28}_28 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R201.41 : Type {6,28}_42 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R^-1 * S^5 * R^2 * S * R^-1 * S^-5 * R * S^2 ] R201.42 : Type {6,28}_168 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^28 ] R201.43 : Type {6,78}_104 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^13 * R * S^-1 * R * S^2 * R^-2 * S^10 ] R201.44 : Type {8,8}_20 Order 3200 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^-1 * S^2 * R^2 * S^-2 * R^2 * S^-2 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-2 * S^-1 * R * S^2 * R^-1 ] R201.45 : Type {8,8}_40 Order 3200 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^10 ] R201.46 : Type {8,8}_40 Order 3200 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R201.47 : Type {8,8}_40 Order 3200 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^-1 * S^2 * R^2 * S^-2 * R^2 * S^-2 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 ] R201.48 : Type {8,8}_40 Order 3200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, 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 ] R201.49 : Type {8,24}_30 Order 2400 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-6, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-2 * S^-2 ] R201.50 : Type {8,24}_60 Order 2400 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-6, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R201.51 : Type {8,36}_18 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-5 * R^-1 * S^4 * R^-4 * S^4 * R^-1 * S^-5 ] R201.52 : Type {8,36}_18 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-8 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-7 ] R201.53 : Type {8,36}_18 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^9 * R * S^-6 * R^3 * S^3 ] R201.54 : Type {8,36}_18 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^9 * R * S^-6 * R^3 * S^3 ] R201.55 : Type {8,36}_18 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^-4 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^-1 * S^-4 ] R201.56 : Type {8,36}_18 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^9 * R * S^-2 * R * S^7 ] R201.57 : Type {8,36}_36 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^36 ] R201.58 : Type {8,36}_36 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^36 ] R201.59 : Type {8,36}_36 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-8 * R^-1 * S * R^2 * S^4 * R^-1 * S^-2 * R^-2 * S^-3 ] R201.60 : Type {8,36}_36 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^9 * R * S^-6 * R^3 * S^3 ] R201.61 : Type {8,36}_36 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^9 * R * S^-6 * R^3 * S^3 ] R201.62 : Type {8,36}_36 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^36 ] R201.63 : Type {8,36}_36 Order 2304 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^36 ] R201.64 : Type {8,36}_36 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^36 ] R201.65 : Type {8,36}_36 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^9 * R * S^-2 * R * S^7 ] R201.66 : Type {8,36}_72 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^36 ] R201.67 : Type {8,36}_72 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^36 ] R201.68 : Type {8,36}_72 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-8 * R^-1 * S * R^-1 * S^-4 * R * S^2 * R^-1 * S^-3 ] R201.69 : Type {8,36}_72 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-8 * R^-1 * S * R * S^-2 * R^2 * S^-7 ] R201.70 : Type {8,36}_72 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^9 * R^-1 * S^-1 * R^2 * S^-6 * R * S^2 ] R201.71 : Type {8,36}_72 Order 2304 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^36 ] R201.72 : Type {8,36}_72 Order 2304 mV = 9 mF = 2 Defining relations for automorphism group: [ R^8, 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^36 ] R201.73 : Type {8,36}_72 Order 2304 mV = 9 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^36 ] R201.74 : Type {8,136}_68 Order 2176 mV = 34 mF = 2 Defining relations for automorphism group: [ R^8, 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^34 * R^2 * S * R^-1 * S^-6 * R^-1 * S^27 ] R201.75 : Type {8,136}_136 Order 2176 mV = 34 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^34 * R^2 * S^2 * R^-1 * S^-3 * R * S^29 ] R201.76 : Type {8,136}_136 Order 2176 mV = 34 mF = 2 Defining relations for automorphism group: [ R^8, 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^34 * R^3 * S^-2 * R * S^32 ] R201.77 : Type {8,136}_136 Order 2176 mV = 34 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^136 ] R201.78 : Type {8,136}_136 Order 2176 mV = 68 mF = 2 Defining relations for automorphism group: [ R^8, 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^34 * R * S^-1 * R * S^33 ] R201.79 : Type {8,136}_136 Order 2176 mV = 68 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^136 ] R201.80 : Type {8,536}_134 Order 2144 mV = 536 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^67 * R * S^-2 * R * S^65 ] R201.81 : Type {8,536}_268 Order 2144 mV = 536 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^67 * R^2 * S^67 ] R201.82 : Type {12,12}_20 Order 2400 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S * R^-1 * S^3, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R * S^-1 ] R201.83 : Type {12,12}_20 Order 2400 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, R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * R^-1 * S^-2 ] R201.84 : Type {12,12}_20 Order 2400 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 * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 ] R201.85 : Type {14,469}_134 Order 1876 mV = 469 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^-34 * R * S^2 * R^-1 * S^-31 ] R201.86 : Type {15,60}_4 Order 1920 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^6 * S * R^-4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-15 ] R201.87 : Type {15,60}_8 Order 1920 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 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, R^-15 ] R201.88 : Type {15,60}_8 Order 1920 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-15 ] R201.89 : Type {16,48}_10 Order 1920 mV = 8 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^4, R^3 * S^-1 * R^11 * S^-1 ] R201.90 : Type {16,48}_10 Order 1920 mV = 8 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^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R201.91 : Type {16,48}_20 Order 1920 mV = 8 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^-4 * R^3 * S * R^-1 * S * R^-1 * S^-1 ] R201.92 : Type {16,48}_20 Order 1920 mV = 8 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^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-1 ] R201.93 : Type {20,20}_10 Order 2000 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 * S^-1 * R^-1 * S * R^5 * S^-1 * R^-2 * S^-1 * R * S^6, R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-5 * S * R^-2 * S^2 ] R201.94 : Type {20,20}_10 Order 2000 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, (R * S^-3 * R^2)^2, S^2 * R^3 * S^-3 * R^-4 * S^-3 * R^3 * S^2 ] R201.95 : Type {20,20}_10 Order 2000 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 * S^-1 * R * S^2 * R^-1 * S, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S^4 * R^-1, R^-1 * S * T * R^2 * S^-2 * R^3 * S^-1 * R^3 * S^-1 * R * T * S^3 * R^-2 ] R201.96 : Type {20,20}_10 Order 2000 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, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S, S^5 * R^-1 * S * R^-7 * S * R^-1 * S * R^-3 ] R201.97 : Type {20,20}_10 Order 2000 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, (R * S^-1 * R)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R201.98 : Type {20,20}_10 Order 2000 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, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1, S^-2 * R^5 * S^-3 * R * S^-1, R^2 * S^-2 * R^-2 * S^2 * R * S^-1 * R^2 * S^2 * R^-2 * S^-1 * R * S^2 ] R201.99 : Type {20,30}_6 Order 1920 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, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R201.100 : Type {20,30}_12 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, (R * S^-4)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ] R201.101 : Type {20,30}_24 Order 1920 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, R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S ] R201.102 : Type {20,30}_24 Order 1920 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)^2, (R * S^-4)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^2 * S^-1 * R^-4 * S * R^-1 * S^2 * R^-1 * S^-1 ] R201.103 : Type {24,24}_6 Order 1920 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^5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R201.104 : Type {24,24}_6 Order 1920 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^6 * S^-5, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] R201.105 : Type {24,24}_12 Order 1920 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^-1 * R^6 * S^-5 ] R201.106 : Type {24,24}_12 Order 1920 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S^-3 * R^4 * S^2 * R^-2 * S^-1 ] R201.107 : Type {28,56}_4 Order 1792 mV = 7 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^-2 * R^2 * S^5, R^-2 * S * R^-13 * S * R^-1 * S * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 ] R201.108 : Type {28,56}_8 Order 1792 mV = 7 mF = 7 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, S^2 * R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 ] R201.109 : Type {28,56}_8 Order 1792 mV = 14 mF = 7 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 * S^-1 * R * S^-1 * R^5 * S^-1 * R^10 * S^-1 * R^3 * S^-1 * R^2 ] R201.110 : Type {28,56}_8 Order 1792 mV = 14 mF = 7 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^3 * S^-6 * T * S^3 * R^-4 * S^2 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R^3 * S^-1 ] R201.111 : Type {36,36}_10 Order 1800 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, R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-2 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2, R^-2 * S * T * S^-1 * R * S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-3 * T * S^2 ] R201.112 : Type {54,54}_4 Order 1728 mV = 9 mF = 9 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^-39 * S^2 * R^-10 * S^2 * R^-1 ] R201.113 : Type {54,54}_8 Order 1728 mV = 9 mF = 9 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^-37 * S * R^-3 * S * R^-10 * S^2 ] R201.114 : Type {60,140}_42 Order 1680 mV = 70 mF = 30 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^7 * S * R^-5, S^-4 * R^-1 * S^3 * R^4 * S^5 * R^-1 * S^-2, S^2 * R^-1 * S * R^-14 * S * R^-1 ] R201.115 : Type {104,104}_4 Order 1664 mV = 26 mF = 26 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^-73 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S^2 * R^-5 * S ] R201.116 : Type {104,104}_8 Order 1664 mV = 26 mF = 26 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^-3 * R^17 * S^-4 * R * S^-2 * T * S * R^-2 * S * R^-4 * S * R^-2 * S * T * S^-2 * R * S^-3 * R^2 * S^-1 * R^3 * S^-1 ] R201.117 : Type {104,104}_8 Order 1664 mV = 26 mF = 26 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^-16 * S^3 * R^-3 * S^6 * R^-1 * S * R^-8 * S * R^-1 * S^3 * R^-1 * S^3 * R^-1 ] R201.118 : Type {104,104}_8 Order 1664 mV = 52 mF = 26 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^50 * S^-13 * R^3 * S^-1 * R * S^-1 * R^14 * S^-1 * R^6 * S^-14 ] R201.119 : Type {104,104}_8 Order 1664 mV = 52 mF = 52 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^18 * S^-1 * R^2 * S^-3 * R * S^-2 * T * S * R^-2 * S * R^-4 * S * R^-2 * S * T * S^-2 * R * S^-4 * R^6 ] R201.120 : Type {136,408}_6 Order 1632 mV = 408 mF = 68 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^97 * S^-1 * R * S^-2 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^14 ] R201.121 : Type {136,408}_12 Order 1632 mV = 408 mF = 68 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^5 * R^-1 * S^-1, S^-16 * R^13 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^12 * S^-2 ] R201.122 : Type {204,204}_4 Order 1632 mV = 68 mF = 68 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^84 * S^-2 * R^10 * S^-2 * R * S^-3 ] R201.123 : Type {204,204}_4 Order 1632 mV = 68 mF = 68 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^140 * R^-1 * S * R^-14 * S^2 * R^-43 * S ] R201.124 : Type {204,204}_4 Order 1632 mV = 102 mF = 102 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^165 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^14 ] R201.125 : Type {403,806}_2 Order 1612 mV = 806 mF = 403 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^195 * T * S^-1 * R * T * S * R^-10 * T * R^2 * T * R^-5 * S * R^-186 ] R201.126 : Type {404,404}_2 Order 1616 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^187 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-3 * T * S^-194 * R ] R201.127 : Type {804,804}_2 Order 1608 mV = 804 mF = 804 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^186 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-1 * S * T * S^-194 * R ] Genus 202 R202.1 : Type {4,138}_92 Order 3312 mV = 23 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^23 * R^2 * S * R^-1 * S^-1 * R * S^21 ] R202.2 : Type {4,406}_812 Order 3248 mV = 203 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^406 ] R202.3 : Type {4,808}_808 Order 3232 mV = 808 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^202 * R^2 * S^202 ] R202.4 : Type {6,204}_204 Order 2448 mV = 68 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^204 ] R202.5 : Type {6,204}_204 Order 2448 mV = 102 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^34 * R * S^-3 * R * S^31 ] R202.6 : Type {6,204}_204 Order 2448 mV = 102 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^204 ] R202.7 : Type {6,606}_202 Order 2424 mV = 606 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^101 * R * S^-1 * R * S^100 ] R202.8 : Type {10,505}_202 Order 2020 mV = 505 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-51 * R * S^3 * R^-1 * S^-47 ] R202.9 : Type {12,56}_56 Order 2016 mV = 14 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^14 * R^3 * S^-1 * R * S^5 * R^-1 * S^-2 * R * S^6 ] R202.10 : Type {18,153}_102 Order 1836 mV = 51 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^-1 * S * R^-15 * S, S^-26 * R * S^3 * R^-1 * S^-22 ] R202.11 : Type {28,64}_448 Order 1792 mV = 32 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^16 * R^-3 * S^-3 * T * S * R^2 * T * R^-2 * S^-3 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^3 ] R202.12 : Type {36,144}_48 Order 1728 mV = 48 mF = 18 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^-3 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-4 * S, S^12 * R * S^-2 * R * S^10 ] R202.13 : Type {36,144}_48 Order 1728 mV = 72 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^7 * S * R^-5, S^3 * T * R^5 * S^-1 * R * S^-1 * R^2 * S^-2 * T * S^3 ] R202.14 : Type {60,210}_28 Order 1680 mV = 105 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^7 * R^-16 * S^7 ] R202.15 : Type {138,138}_6 Order 1656 mV = 69 mF = 46 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^86 * S^-11 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-14 ] R202.16 : Type {138,138}_6 Order 1656 mV = 69 mF = 69 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^-1 * S^2 * R^-13 * S^2 * R^-1 * S^6 * R^-14 * S^6 * R^-1 ] R202.17 : Type {204,408}_8 Order 1632 mV = 408 mF = 102 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^61 * S^-1 * R * S^-1 * R^19 * S^-1 * R * S^-1 * R^12 * S^-2 ] R202.18 : Type {405,810}_2 Order 1620 mV = 810 mF = 405 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^193 * T * S^-1 * R^2 * T * R^-11 * T * R^2 * T * R^-5 * S * R^-188 * S ] R202.19 : Type {406,406}_2 Order 1624 mV = 406 mF = 406 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^190 * S^-1 * R^5 * T * R^-2 * T * R^11 * T * R^-2 * S * T * S^-194 ] R202.20 : Type {808,808}_2 Order 1616 mV = 808 mF = 808 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^187 * S^-1 * R^5 * T * R^-2 * T * R^10 * S^-1 * T * R^-3 * T * S^-195 ] Genus 203 R203.1 : Type {4,408}_408 Order 3264 mV = 204 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^102 * R * S^-1 * R * S^101 ] R203.2 : Type {4,408}_408 Order 3264 mV = 204 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^408 ] R203.3 : Type {4,812}_406 Order 3248 mV = 812 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^203 * R^2 * S^203 ] R203.4 : Type {6,104}_78 Order 2496 mV = 26 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^13 * R^2 * S^2 * R^-1 * S^-1 * R * S^10 ] R203.5 : Type {6,104}_156 Order 2496 mV = 26 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^13 * R * S^-1 * R^2 * S^-5 * R * S^7 ] R203.6 : Type {6,609}_406 Order 2436 mV = 609 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-102 * R * S * R^-1 * S^-100 ] R203.7 : Type {8,272}_272 Order 2176 mV = 136 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^68 * R * S^-1 * R * S^67 ] R203.8 : Type {8,272}_272 Order 2176 mV = 136 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^68 * R^4 * S^3 * T * S^-2 * T * S^63 ] R203.9 : Type {12,164}_246 Order 1968 mV = 82 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^41 * R^5 * S^-2 * R * S^39 ] R203.10 : Type {16,60}_240 Order 1920 mV = 15 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^60 ] R203.11 : Type {16,60}_240 Order 1920 mV = 30 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^60 ] R203.12 : Type {16,464}_58 Order 1856 mV = 464 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^16, S^29 * R * S^-4 * R * S^25 ] R203.13 : Type {16,464}_116 Order 1856 mV = 464 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^16, S^29 * R^2 * S^29 ] R203.14 : Type {20,92}_230 Order 1840 mV = 46 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^23 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^14 ] R203.15 : Type {30,435}_58 Order 1740 mV = 435 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^2, S^-15 * R * S^7 * R^-1 * S^-7 ] R203.16 : Type {32,56}_224 Order 1792 mV = 28 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-9 * T * R^-1 * S^-1 * T * S^4 * R^-5 * S^-3 * T * S * R^2 * T * R^-2 * S^-3 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R203.17 : Type {32,56}_224 Order 1792 mV = 28 mF = 16 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^-1 * S^-2 * R^-13 * S^-1 * R * S * R^-1, S^14 * R * S^-1 * R * S^13 ] R203.18 : Type {60,420}_14 Order 1680 mV = 420 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^6 * R * S^-6 * R * S^2, R^19 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^15 ] R203.19 : Type {84,140}_30 Order 1680 mV = 70 mF = 42 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^7 * S * R^-5, S^-3 * R^2 * S^-1 * R^-3 * S^4 * R^-1 * S^-2, R * S^-3 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R203.20 : Type {104,208}_16 Order 1664 mV = 104 mF = 52 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^-7 * R^4 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 * S^-1 ] R203.21 : Type {104,208}_16 Order 1664 mV = 104 mF = 52 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^3 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R^5 * S^-1 * R^2 * S^-6 * T * S * R^-8 * S^3 * T * S^-1 * R^2 * S^-3 * R^2 * S^-1 * R^3 * S^-1 ] R203.22 : Type {118,413}_14 Order 1652 mV = 413 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^6 * R * S^-6 * R * S^2, S^-6 * R^12 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 * S^-1 ] R203.23 : Type {407,814}_2 Order 1628 mV = 814 mF = 407 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^194 * T * S^-1 * R^2 * T * R^-11 * T * R^2 * T * R^-5 * S * R^-190 ] R203.24 : Type {408,408}_2 Order 1632 mV = 408 mF = 408 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^191 * S^-1 * R^5 * T * R^-2 * T * R^11 * T * R^-2 * S * T * S^-194 * R ] R203.25 : Type {408,408}_4 Order 1632 mV = 408 mF = 408 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^165 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-2 ] R203.26 : Type {812,812}_2 Order 1624 mV = 812 mF = 812 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^190 * S^-1 * R^5 * T * R^-2 * T * R^11 * T * R^-2 * S * T * S^-193 * R ] Genus 204 R204.1 : Type {4,207}_414 Order 3312 mV = 69 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-207 ] R204.2 : Type {4,410}_820 Order 3280 mV = 205 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^410 ] R204.3 : Type {4,816}_816 Order 3264 mV = 816 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^204 * R^2 * S^204 ] R204.4 : Type {6,206}_618 Order 2472 mV = 103 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^206 ] R204.5 : Type {8,138}_276 Order 2208 mV = 46 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-35 * R^4 * S^-34 ] R204.6 : Type {8,138}_552 Order 2208 mV = 69 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^138 ] R204.7 : Type {10,104}_520 Order 2080 mV = 52 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^104 ] R204.8 : Type {10,510}_102 Order 2040 mV = 510 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^51 * R^2 * S^51 ] R204.9 : Type {12,14}_12 Order 2352 mV = 1 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^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^12, S^14 ] R204.10 : Type {12,14}_12 Order 2352 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)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, S^14 ] R204.11 : Type {12,14}_12 Order 2352 mV = 1 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, R^12, S^14 ] R204.12 : Type {12,246}_164 Order 1968 mV = 123 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^41 * R * S^-1 * R * S^40 ] R204.13 : Type {14,70}_70 Order 1960 mV = 10 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^70 ] R204.14 : Type {14,70}_70 Order 1960 mV = 35 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^14, S^-3 * R^2 * S^-1 * R^2 * S^-6 ] R204.15 : Type {14,70}_70 Order 1960 mV = 35 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^70 ] R204.16 : Type {14,476}_68 Order 1904 mV = 476 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^34 * R * S^-5 * R * S^29 ] R204.17 : Type {24,76}_456 Order 1824 mV = 38 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^19 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^8 ] R204.18 : Type {26,36}_468 Order 1872 mV = 18 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^36 ] R204.19 : Type {26,442}_34 Order 1768 mV = 442 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^17 * R * S^-3 * R * S^14 ] R204.20 : Type {50,425}_34 Order 1700 mV = 425 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^-7 * R^8 * S^-10 ] R204.21 : Type {70,420}_12 Order 1680 mV = 420 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R * S^-13 * R^15 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 * S^-1 ] R204.22 : Type {84,210}_20 Order 1680 mV = 105 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^-2 * R^-1 * S^9 * R^-1 * S^-9, S^6 * R^-2 * S * R^-20 * S * R^-1 * S * R^-7 * S^3 ] R204.23 : Type {105,140}_6 Order 1680 mV = 35 mF = 35 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, S^8 * R^-2 * S^2 * R^-2 * S * R^-1 * S * R^-10 * S * R^-1 * S * R^-2 * S^2 * R^-1 ] R204.24 : Type {206,412}_4 Order 1648 mV = 412 mF = 103 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^165 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^15 ] R204.25 : Type {207,207}_4 Order 1656 mV = 69 mF = 69 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^44 * S^-2 * R^14 * S^-1 * R * S^-141 * R^2 ] R204.26 : Type {274,411}_6 Order 1644 mV = 411 mF = 137 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^94 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 * S^-1 ] R204.27 : Type {409,818}_2 Order 1636 mV = 818 mF = 409 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^393 * T * R^-2 * T * R^11 * T * R^-3 * T ] R204.28 : Type {410,410}_2 Order 1640 mV = 410 mF = 410 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^388 * T * R^4 * T * R^-2 * T * R^11 * T * R^-4 ] R204.29 : Type {816,816}_2 Order 1632 mV = 816 mF = 816 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^191 * S^-1 * R^5 * T * R^-2 * T * R^11 * T * R^-2 * S * T * S^-195 ] Genus 205 R205.1 : Type {3,9}_16 Order 14688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1, S * R * S^-2 * R * S^-4 * R * S^-2 * R * S^3 * R^-1 * S^4 * R^-1 * S^2 ] R205.2 : Type {3,9}_18 Order 14688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-3 * R * S^-2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ] R205.3 : Type {3,9}_34 Order 14688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-3 * R * S^-1 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-2 ] R205.4 : Type {3,15}_34 Order 8160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-15, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] R205.5 : Type {3,40}_30 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^-1 * R * S^-4 * R * S^2 ] R205.6 : Type {3,40}_60 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * 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 ] R205.7 : Type {4,6}_18 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S^3 * R^2 * S, R * S^-1 * R * S^2 * R^-1 * S^-3 * R * S^-1 * R * S^3 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R205.8 : Type {4,55}_110 Order 3520 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-55 ] R205.9 : Type {4,208}_208 Order 3328 mV = 52 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^208 ] R205.10 : Type {4,208}_208 Order 3328 mV = 52 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^52 * R^2 * S * R^-1 * S^-1 * R * S^50 ] R205.11 : Type {4,412}_412 Order 3296 mV = 206 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^412 ] R205.12 : Type {4,820}_410 Order 3280 mV = 820 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^205 * R^2 * S^205 ] R205.13 : Type {6,20}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-2 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^3 ] R205.14 : Type {6,20}_24 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S^-1 ] R205.15 : Type {6,20}_60 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^3 * R^2 * S^-1 * R^2 * S^6, R * S^-2 * R * S^-2 * R^-2 * S^-3 * R * S^-1 * R * S^2 ] R205.16 : Type {6,20}_60 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-3 * R * S^-2)^2 ] R205.17 : Type {6,54}_108 Order 2592 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^54 ] R205.18 : Type {6,156}_52 Order 2496 mV = 52 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^26 * R^2 * S * R^-1 * S^-4 * R * S^21 ] R205.19 : Type {6,156}_104 Order 2496 mV = 52 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^13 * R * S^-1 * R^2 * S^-1 * R * S^11 ] R205.20 : Type {6,207}_414 Order 2484 mV = 69 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-207 ] R205.21 : Type {6,615}_410 Order 2460 mV = 615 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-103 * R^2 * S^-102 ] R205.22 : Type {8,14}_4 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R * S^-1)^2, (R * S^-3 * R^2)^2 ] R205.23 : Type {8,14}_12 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, (R * S^-4 * R)^2 ] R205.24 : Type {8,14}_16 Order 2688 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^2 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R205.25 : Type {8,14}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, (R * S^-6)^2 ] R205.26 : Type {8,48}_16 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S * R * S^-1 * R^-1 * S * R * S^-6 * R * S^7 ] R205.27 : Type {8,48}_16 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, S^-6 * R^-2 * S^5 * R^-1 * S^-1 * R ] R205.28 : Type {8,48}_16 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, S^-6 * R^2 * S^5 * R^-1 * S^-1 * R ] R205.29 : Type {8,48}_16 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-4 * R^2 * S * R^-1 * S^4 ] R205.30 : Type {8,48}_16 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] R205.31 : Type {8,48}_16 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-3 ] R205.32 : Type {8,48}_16 Order 2304 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-4 * R * S^-1 * R^2 * S^4 * R^-1 * S^-1 ] R205.33 : Type {8,48}_16 Order 2304 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^2 * R * S^-5 * R^-1 * S * R^-1 * S^-1 * R * S^7 ] R205.34 : Type {9,90}_10 Order 2160 mV = 18 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-4 * R * S^5, S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R205.35 : Type {10,11}_4 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^11, 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 * R^3)^2, (R * S^-1)^6 ] R205.36 : Type {10,11}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-2)^4 ] R205.37 : Type {10,11}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R^-2 * S)^3 ] R205.38 : Type {10,11}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R205.39 : Type {10,45}_18 Order 2160 mV = 9 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S * R^-2 * S^2 * R^-2 * S^6 ] R205.40 : Type {12,16}_16 Order 2304 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 * S * R^-1 * S^-1, R^12, S^16 ] R205.41 : Type {12,16}_16 Order 2304 mV = 4 mF = 1 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, R^12, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R205.42 : Type {12,84}_84 Order 2016 mV = 14 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^84 ] R205.43 : Type {12,84}_84 Order 2016 mV = 42 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^14 * R * S^-1 * R * S^13 ] R205.44 : Type {12,84}_84 Order 2016 mV = 42 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^84 ] R205.45 : Type {12,492}_82 Order 1968 mV = 492 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^41 * R * S^-4 * R * S^37 ] R205.46 : Type {18,117}_52 Order 1872 mV = 39 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^4 * R * S^-2 * R^-3 * S^4 * R^-1 * S^-1 * R * S^2 ] R205.47 : Type {20,40}_24 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, R^-1 * S * R^-1 * S * R^3 * S^4 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R205.48 : Type {20,40}_24 Order 1920 mV = 8 mF = 2 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^3 * S * R^-1 * S^-1 * R ] R205.49 : Type {22,451}_82 Order 1804 mV = 451 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^-1 * S * R^-1 * S * R^-18, S^-21 * R * S^4 * R^-1 * S^-16 ] R205.50 : Type {24,30}_10 Order 1920 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S^4, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 ] R205.51 : Type {24,30}_20 Order 1920 mV = 5 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^-1 * R^6 * S^-1 * R * S^-2 * R, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^2 * R * S^-1 * R^-1 * S * R^2 * S^6 ] R205.52 : Type {24,30}_20 Order 1920 mV = 6 mF = 6 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, (R * S^-2)^4 ] R205.53 : Type {24,30}_40 Order 1920 mV = 5 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R205.54 : Type {28,112}_16 Order 1792 mV = 28 mF = 7 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, S^-1 * R * S^-1 * R * S^-1 * R^5 * S^-1 * R^10 * S^-1 * R^3 * S^-1 * R^2 ] R205.55 : Type {28,112}_16 Order 1792 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-4 * R^-1 * S^4 * R^-5 * S^-6 * R^-2 * S^-2, R^2 * S^-2 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-6 ] R205.56 : Type {40,88}_110 Order 1760 mV = 44 mF = 20 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^15 * S * R^-1 * S * R^4, S^11 * R^4 * S * R^-1 * S^-1 * R * S * R^-1 * S^-4 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R205.57 : Type {40,88}_220 Order 1760 mV = 44 mF = 20 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^15 * S * R^-1 * S * R^4, S^11 * R^-4 * S^2 * R^-1 * S^-3 * R^2 * S^-2 * R * S * R^-1 * S^-1 * R * S^2 ] R205.58 : Type {48,144}_18 Order 1728 mV = 48 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^-1 * S * R^-9 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-10 * S ] R205.59 : Type {48,144}_18 Order 1728 mV = 72 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^9 * R^-5 * S^-4 * R^-1 * S^5 ] R205.60 : Type {48,144}_36 Order 1728 mV = 48 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^-8 * R^6 * S^-10 ] R205.61 : Type {48,144}_36 Order 1728 mV = 72 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^9 * R^-1 * S^-1 * R^2 * S^-2 * R * S^3 * R^-1 * S^-1 * R * S^2 ] R205.62 : Type {54,108}_4 Order 1728 mV = 36 mF = 9 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^2 * S^-9 * R * S^-2 * R^9 * S^-2 * R * S^-2 * R^24 ] R205.63 : Type {54,108}_8 Order 1728 mV = 36 mF = 18 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^34 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-2 ] R205.64 : Type {55,55}_4 Order 1760 mV = 11 mF = 11 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^-2 * S * R^-1 * S^37 * R^-1 * S * R^-8 * S^3 * R^-1 ] R205.65 : Type {72,72}_12 Order 1728 mV = 36 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^7 * S * R^-5, R * S^-1 * R^10 * S^-1 * R^6 * S^-12 * R^20 * S^-1 * R^6 * S^-13 * R ] R205.66 : Type {72,72}_12 Order 1728 mV = 36 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 * S^-3 * R * S^4, R^-1 * S * R^5 * S^-1 * R^-6 * S^-2, S^2 * R^-1 * S * R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^4 * R^-1 * S * R^-3 ] R205.67 : Type {84,420}_10 Order 1680 mV = 420 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^-4 * R * S^5, R^43 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^15 ] R205.68 : Type {105,210}_4 Order 1680 mV = 70 mF = 35 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^87 * S^-2 * R^10 * S^-2 * R^4 ] R205.69 : Type {166,415}_10 Order 1660 mV = 415 mF = 83 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^38 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 * S^-1 ] R205.70 : Type {208,208}_4 Order 1664 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^167 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^15 ] R205.71 : Type {208,208}_4 Order 1664 mV = 104 mF = 104 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^-73 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-11 * S^2 * R^-4 * S^2 ] R205.72 : Type {208,208}_8 Order 1664 mV = 104 mF = 104 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^48 * S^-13 * R^3 * S^-1 * R * S^-1 * R^14 * S^-1 * R^6 * S^-13 * R ] R205.73 : Type {411,822}_2 Order 1644 mV = 822 mF = 411 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^389 * T * R^4 * T * R^-2 * T * R^11 * T * R^-3 * S ] R205.74 : Type {412,412}_2 Order 1648 mV = 412 mF = 412 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^202 * T * R^-2 * T * R^11 * T * R^-2 * S * T * S^-193 * R ] R205.75 : Type {820,820}_2 Order 1640 mV = 820 mF = 820 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^388 * T * R^4 * T * R^-2 * T * R^11 * T * R^-3 * S ] Genus 206 R206.1 : Type {4,414}_828 Order 3312 mV = 207 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^414 ] R206.2 : Type {4,824}_824 Order 3296 mV = 824 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^206 * R^2 * S^206 ] R206.3 : Type {6,208}_624 Order 2496 mV = 104 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^208 ] R206.4 : Type {6,618}_206 Order 2472 mV = 618 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^103 * R^2 * S^103 ] R206.5 : Type {8,30}_24 Order 2400 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] R206.6 : Type {8,276}_552 Order 2208 mV = 138 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^69 * R^4 * S^3 * T * S^-2 * T * S^64 ] R206.7 : Type {10,105}_210 Order 2100 mV = 21 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-105 ] R206.8 : Type {10,515}_206 Order 2060 mV = 515 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-52 * R^2 * S^-51 ] R206.9 : Type {20,230}_92 Order 1840 mV = 115 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 * R^-17 * S, S^23 * R^-1 * S^-8 * R * S^15 ] R206.10 : Type {24,114}_152 Order 1824 mV = 57 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^19 * R * S^-3 * R * S^16 ] R206.11 : Type {40,110}_88 Order 1760 mV = 55 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, R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S * R^-1 * S, S^11 * R * S^-5 * R * S^6 ] R206.12 : Type {85,170}_10 Order 1700 mV = 85 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^6 * S * R^-4, R * S^-1 * R^29 * S^-13 * R^5 * S^-2 * R^12 * S^-3 * R^5 * S^-13 * R ] R206.13 : Type {140,210}_12 Order 1680 mV = 105 mF = 70 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^5 * R^-1 * S^-1, S^-18 * R^11 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^15 ] R206.14 : Type {413,826}_2 Order 1652 mV = 826 mF = 413 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^194 * T * R^3 * T * R^-18 * S * R^-195 * S ] R206.15 : Type {414,414}_2 Order 1656 mV = 414 mF = 414 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^196 * S^-1 * R^18 * T * R^-2 * S * T * S^-196 ] R206.16 : Type {824,824}_2 Order 1648 mV = 824 mF = 824 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^202 * T * R^-2 * T * R^11 * T * R^-2 * S * T * S^-194 ] Genus 207 R207.1 : Type {4,210}_210 Order 3360 mV = 70 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^210 ] R207.2 : Type {4,416}_416 Order 3328 mV = 208 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^104 * R * S^-1 * R * S^103 ] R207.3 : Type {4,416}_416 Order 3328 mV = 208 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^416 ] R207.4 : Type {4,828}_414 Order 3312 mV = 828 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^207 * R^2 * S^207 ] R207.5 : Type {8,140}_280 Order 2240 mV = 35 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^140 ] R207.6 : Type {8,140}_280 Order 2240 mV = 70 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^140 ] R207.7 : Type {8,552}_138 Order 2208 mV = 552 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^69 * R^2 * S^69 ] R207.8 : Type {8,552}_276 Order 2208 mV = 552 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^69 * R * S^-2 * R * S^67 ] R207.9 : Type {14,483}_138 Order 1932 mV = 483 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 * R * S^3 * R^-1 * S^-31 ] R207.10 : Type {16,120}_240 Order 1920 mV = 60 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 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S^23 ] R207.11 : Type {16,120}_240 Order 1920 mV = 60 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^30 * R * S^-1 * R * S^29 ] R207.12 : Type {18,28}_126 Order 2016 mV = 7 mF = 3 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, S^6 * R * S^-1 * R^2 * S^-1 * R * S^6, R^18 ] R207.13 : Type {20,48}_240 Order 1920 mV = 24 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, R^20, S^12 * R * S^-1 * R * S^11 ] R207.14 : Type {20,48}_240 Order 1920 mV = 24 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^48 ] R207.15 : Type {20,460}_46 Order 1840 mV = 460 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 * R^-17 * S, S^23 * R * S^-2 * R * S^21 ] R207.16 : Type {24,152}_114 Order 1824 mV = 76 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^11 * S * R^-1 * S, S^19 * R^4 * S * R^-1 * S^-1 * R * S^17 ] R207.17 : Type {24,152}_228 Order 1824 mV = 76 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^11 * S * R^-1 * S, S^19 * R^4 * S * R^-1 * S^-3 * R * S^15 ] R207.18 : Type {28,224}_32 Order 1792 mV = 112 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^-3 * R^-1 * S^5 * R^-3 * S^-6 * R^-2 * S^-2, R^2 * S^-2 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-6 ] R207.19 : Type {28,224}_32 Order 1792 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, R^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^16 * R * S^-1 * R * S^15 ] R207.20 : Type {38,437}_46 Order 1748 mV = 437 mF = 19 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^6, S^-12 * R * S^2 * R^-1 * S^-9 ] R207.21 : Type {94,423}_18 Order 1692 mV = 423 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^7 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-11 * S^2 ] R207.22 : Type {140,420}_6 Order 1680 mV = 420 mF = 70 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^99 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^15 ] R207.23 : Type {210,210}_4 Order 1680 mV = 70 mF = 70 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^143 * R^-1 * S * R^-14 * S^2 * R^-46 * S ] R207.24 : Type {278,417}_6 Order 1668 mV = 417 mF = 139 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^96 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 * S^-1 ] R207.25 : Type {415,830}_2 Order 1660 mV = 830 mF = 415 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^198 * T * R^3 * T * R^-213 ] R207.26 : Type {416,416}_2 Order 1664 mV = 416 mF = 416 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^214 * T * R^-3 * T * S^-198 * R ] R207.27 : Type {416,416}_4 Order 1664 mV = 416 mF = 416 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^166 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^14 * S^-1 ] R207.28 : Type {828,828}_2 Order 1656 mV = 828 mF = 828 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^196 * S^-1 * R^18 * T * R^-2 * S * T * S^-195 * R ] Genus 208 R208.1 : Type {4,418}_836 Order 3344 mV = 209 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^418 ] R208.2 : Type {4,832}_832 Order 3328 mV = 832 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^208 * R^2 * S^208 ] R208.3 : Type {6,72}_12 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^-6 * R^-1 * S^11 * R^-1 * S^-7 ] R208.4 : Type {6,72}_24 Order 2592 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R208.5 : Type {6,72}_24 Order 2592 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^-6 * R^-2 * S^5 * R^-1 * S^-1 * R ] R208.6 : Type {6,72}_24 Order 2592 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^12 * R^2 * S * R^-1 * S^-4 * R * S * R^-1 * S^-1 * R * S^5 ] R208.7 : Type {6,72}_24 Order 2592 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-2 * R * S^10 ] R208.8 : Type {6,72}_72 Order 2592 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^72 ] R208.9 : Type {6,72}_72 Order 2592 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^72 ] R208.10 : Type {6,72}_72 Order 2592 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^12 * R * S^-3 * R * S * R^-1 * S^-4 * R * S^4 ] R208.11 : Type {6,72}_72 Order 2592 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^72 ] R208.12 : Type {6,72}_72 Order 2592 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^12 * R^-2 * S^2 * R^-1 * S^-3 * R * S^7 ] R208.13 : Type {6,72}_72 Order 2592 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^12 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^5 ] R208.14 : Type {6,72}_72 Order 2592 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^72 ] R208.15 : Type {6,72}_72 Order 2592 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^12 * R * S^-1 * R^2 * S^-1 * R^2 * S^-8 * R^-1 * S^2 ] R208.16 : Type {6,210}_210 Order 2520 mV = 70 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^210 ] R208.17 : Type {6,210}_210 Order 2520 mV = 105 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^35 * R * S^-1 * R * S^34 ] R208.18 : Type {6,210}_210 Order 2520 mV = 105 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^210 ] R208.19 : Type {6,624}_208 Order 2496 mV = 624 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^104 * R * S^-1 * R * S^103 ] R208.20 : Type {8,18}_8 Order 2592 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-18 ] R208.21 : Type {8,18}_12 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^-6 * R^4 * S^-3 ] R208.22 : Type {8,18}_36 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-6 * R^4 * S^-3, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 ] R208.23 : Type {8,18}_72 Order 2592 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^18 ] R208.24 : Type {10,106}_530 Order 2120 mV = 53 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^106 ] R208.25 : Type {10,520}_104 Order 2080 mV = 520 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^52 * R * S^-1 * R * S^51 ] R208.26 : Type {12,30}_20 Order 2160 mV = 5 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^2 * R * S^-1 * R^-1 * S * R^2 * S^6 ] R208.27 : Type {12,30}_20 Order 2160 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, R^12, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, (R * S^-1)^6, S^2 * R * S^-1 * R^-1 * S * R^2 * S^6 ] R208.28 : Type {12,30}_60 Order 2160 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^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^2 * R * S^-3 * R^2 * S^-3 * R * S^2 ] R208.29 : Type {12,30}_60 Order 2160 mV = 5 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^30 ] R208.30 : Type {12,30}_60 Order 2160 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^30 ] R208.31 : Type {12,30}_60 Order 2160 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^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^30 ] R208.32 : Type {12,30}_60 Order 2160 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-6 ] R208.33 : Type {12,30}_60 Order 2160 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, R^12, S^-2 * R^-1 * S * R^3 * S * R^-1 * S^-2 * R, (R * S^-1)^6, S^-2 * R^2 * S^-2 * R^2 * S^-6 ] R208.34 : Type {12,168}_168 Order 2016 mV = 56 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 * R * S^-2 * R * S^40 ] R208.35 : Type {12,168}_168 Order 2016 mV = 84 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^14 * R^2 * S^3 * R^-1 * S^-3 * R^3 * S^8 ] R208.36 : Type {12,168}_168 Order 2016 mV = 84 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 * R^4 * S^3 * T * R * S * T * R * S^38 ] R208.37 : Type {18,54}_54 Order 1944 mV = 6 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^-1 * S * R^-15 * S, S^54 ] R208.38 : Type {18,54}_54 Order 1944 mV = 27 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^54 ] R208.39 : Type {18,468}_52 Order 1872 mV = 468 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^-1 * S * R^-15 * S, S^26 * R^-2 * S^26 ] R208.40 : Type {21,24}_4 Order 2016 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^-1 * S)^3, (R * S^-3 * R^2)^2 ] R208.41 : Type {21,24}_6 Order 2016 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^-3 * S * R^-1 * S^-3, (R * S^-2 * R^3)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R208.42 : Type {21,24}_84 Order 2016 mV = 6 mF = 7 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^-21 ] R208.43 : Type {24,228}_152 Order 1824 mV = 114 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^19 * R^-2 * S^2 * R^-1 * S^-5 * R * S^12 ] R208.44 : Type {28,34}_476 Order 1904 mV = 17 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^34 ] R208.45 : Type {28,448}_64 Order 1792 mV = 448 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^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^16 * R^-1 * S^-9 * R * S^7 ] R208.46 : Type {34,442}_26 Order 1768 mV = 442 mF = 17 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^4, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R208.47 : Type {40,220}_88 Order 1760 mV = 110 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, R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S * R^-1 * S, S^11 * R^2 * S * R^-1 * S^-5 * R * S^5 ] R208.48 : Type {54,432}_16 Order 1728 mV = 432 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^14 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 ] R208.49 : Type {66,429}_26 Order 1716 mV = 429 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^-7 * R^20 * S^-6 ] R208.50 : Type {106,424}_8 Order 1696 mV = 424 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^-3 * R * S^4, R^-1 * S^49 * R^-15 * S * R^-1 * S * R^-3 * S * T * R * S^-1 * R^8 * S^-1 * R * T * S * R^-3 * S * R^-1 * S * R^-14 * S ] R208.51 : Type {141,282}_6 Order 1692 mV = 141 mF = 47 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^85 * S^-13 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-13 * R ] R208.52 : Type {210,420}_4 Order 1680 mV = 420 mF = 105 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^169 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^15 ] R208.53 : Type {417,834}_2 Order 1668 mV = 834 mF = 417 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^199 * T * R^3 * T * R^-213 * S ] R208.54 : Type {418,418}_2 Order 1672 mV = 418 mF = 418 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^215 * T * R^-3 * T * S^-200 ] R208.55 : Type {832,832}_2 Order 1664 mV = 832 mF = 832 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^214 * T * R^-3 * T * S^-199 ] Genus 209 R209.1 : Type {3,14}_14 Order 8736 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S * R^-1 * S^2 * R^-1 * S^2 * R * S^-3 * R^-1 * S^6 * R^-1 * S^2 ] R209.2 : Type {3,14}_24 Order 8736 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^14, 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^-2 * R * S^-3 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S ] R209.3 : Type {3,14}_28 Order 8736 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^14, (S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S)^2, S^-1 * R^-1 * S^2 * R * S^-4 * R^-1 * S^6 * R^-1 * S^3 * R^-1 * S^-2 ] R209.4 : Type {3,32}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^32 ] R209.5 : Type {3,32}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1, 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^3 * R * S^-2 * R^-1 * S^9 ] R209.6 : Type {3,32}_48 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1, S * R * S^-7 * R * S^-1 * R * S^-7 * R * S^2 ] R209.7 : Type {3,32}_48 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (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^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ] R209.8 : Type {4,30}_30 Order 3840 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S^30 ] R209.9 : Type {4,30}_30 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^30 ] R209.10 : Type {4,30}_60 Order 3840 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^30 ] R209.11 : Type {4,30}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^30 ] R209.12 : Type {4,30}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^30 ] R209.13 : Type {4,30}_60 Order 3840 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^30 ] R209.14 : Type {4,56}_56 Order 3584 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^56 ] R209.15 : Type {4,56}_56 Order 3584 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^56 ] R209.16 : Type {4,56}_56 Order 3584 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^56 ] R209.17 : Type {4,56}_112 Order 3584 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^14 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^8 ] R209.18 : Type {4,108}_108 Order 3456 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^108 ] R209.19 : Type {4,108}_216 Order 3456 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^27 * R^2 * S^2 * R^-1 * S^-1 * R * S^24 ] R209.20 : Type {4,108}_216 Order 3456 mV = 27 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^108 ] R209.21 : Type {4,212}_212 Order 3392 mV = 53 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^212 ] R209.22 : Type {4,420}_420 Order 3360 mV = 210 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^420 ] R209.23 : Type {4,836}_418 Order 3344 mV = 836 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^209 * R^2 * S^209 ] R209.24 : Type {5,12}_4 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^12, (S * R^-2 * S * R^-1)^3 ] R209.25 : Type {5,12}_8 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-4 * R)^2 ] R209.26 : Type {5,12}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S^-1, R^2 * S^-1 * R * S^-2 * R^-2 * S * R^-2 * S^-2 * R * S^-1 ] R209.27 : Type {5,12}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-2)^4, (R * S^-5)^2, R * S^-1 * R * S^-3 * R^-2 * S^2 * R^-2 * S^3 ] R209.28 : Type {6,7}_4 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] R209.29 : Type {6,7}_12 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 ] R209.30 : Type {6,7}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R209.31 : Type {6,7}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 ] R209.32 : Type {6,7}_26 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2 ] R209.33 : Type {6,7}_26 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R^-2 * S^-3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^-2 ] R209.34 : Type {6,16}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^16 ] R209.35 : Type {6,16}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-2 * R^-2 * S * R * S^-1 * R^3 * S^-4 ] R209.36 : Type {6,16}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ] R209.37 : Type {6,16}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^16 ] R209.38 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^16 ] R209.39 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-2 * R^-2 * S * R * S^-1 * R^3 * S^-4 ] R209.40 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-2 * R^-2 * S * R * S^-1 * R^3 * S^-4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S ] R209.41 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-2 * R^-2 * S * R * S^-1 * R^3 * S^-4, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R209.42 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 ] R209.43 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^-2 * S * R * S^-1 * R^3 * S^4, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] R209.44 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2, S^16 ] R209.45 : Type {6,16}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (S^-1 * R^2 * S^-1)^3, S^16 ] R209.46 : Type {6,16}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^16 ] R209.47 : Type {6,16}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^16, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-1 * R * S^2 ] R209.48 : Type {6,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^-2 * S * R * S^-1 * R^3 * S^-4, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R209.49 : Type {6,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^4 * R^-1 * S^-1 ] R209.50 : Type {6,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-2 * R, S^-2 * R * S^-3 * R^-1 * S^4 * R^-1 * S^-1 ] R209.51 : Type {6,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R209.52 : Type {6,16}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^3 * S^-3, S^-2 * R^-1 * S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-1 ] R209.53 : Type {6,16}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S * R * S^-2 * R * S^-2 * R^-1 * S^3 * R^-1 * S^2, S^16 ] R209.54 : Type {6,16}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^16, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R209.55 : Type {6,16}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-2 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^-3 * R * S^-1 ] R209.56 : Type {6,16}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R209.57 : Type {6,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^3 * S^-3, S^-2 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^-3 * R * S^-1 ] R209.58 : Type {6,16}_48 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S * R * S^-2 * R^2 * S^-2 * R * S * R^-1 * S^-1 ] R209.59 : Type {6,16}_48 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^16 ] R209.60 : Type {6,16}_48 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, R * S^-2 * R^-2 * S * R^3 * S * R^-2 * S^-2, S^2 * R^-2 * S * R * S^-1 * R^3 * S^4 ] R209.61 : Type {6,16}_48 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^8, S^16 ] R209.62 : Type {6,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^16 ] R209.63 : Type {6,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R209.64 : Type {6,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R * S^-1 * R^2 * S^-2 * R^-2 * S^-2 * R^2 * S^-1 * R * S^2 ] R209.65 : Type {6,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R209.66 : Type {6,42}_28 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-2 * R^-1 * S^2 * R * S^-7 * R * S^2 ] R209.67 : Type {6,42}_56 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^-5 * R^2 * S^-1 * R^2 * S^-8 ] R209.68 : Type {6,42}_56 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R * S^-1 * R^-1 * S^4 * R * S^-1 * R^4 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S ] R209.69 : Type {6,55}_44 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-2 * R^-1 * S * R^-2 * S^3 * R^-1 * S^-1 * R * S^2 ] R209.70 : Type {6,55}_110 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^6 * R^-3 * S^-2 * R * S * R^-2 * S^2 ] R209.71 : Type {6,159}_212 Order 2544 mV = 53 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-27 * R^2 * S^-1 * R^2 * S^-25 ] R209.72 : Type {6,627}_418 Order 2508 mV = 627 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-105 * R * S * R^-1 * S^-103 ] R209.73 : Type {7,8}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R209.74 : Type {7,8}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4 ] R209.75 : Type {7,8}_28 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, (R * S^-1 * R)^4 ] R209.76 : Type {7,8}_28 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, 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 ] R209.77 : Type {8,20}_10 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^-5 * R^3 * S^4 * R^-1 * S^-1 ] R209.78 : Type {8,20}_10 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S * R * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R * S, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R209.79 : Type {8,20}_10 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S^-4 * R^4 * S^-6 ] R209.80 : Type {8,20}_10 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^2 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R209.81 : Type {8,20}_10 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-4 * R * S^5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R209.82 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-2 * R^3 * S^2 * R^-1 * S^3, S^-5 * R^3 * S^4 * R^-1 * S^-1 ] R209.83 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-4 * R^4 * S^-6, R * S^-1 * R * S^-2 * R^3 * S^2 * R^-1 * S^3 ] R209.84 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-5 * R^3 * S^4 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R209.85 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-4 * R^4 * S^-6, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-4 * R^2 * S^5 * R^-1 ] R209.86 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^4 * R^3 * S^4 * R^-1, S^20 ] R209.87 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^4 * R^3 * S^4 * R^-1, S^20 ] R209.88 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R^4 * S^-6, S * R * S^-4 * R^2 * S^5 * R^-1 ] R209.89 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S * R * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R * S, S^2 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R209.90 : Type {8,20}_20 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S^-5 * R^3 * S^4 * R^-1 * S^-1 ] R209.91 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S * R * S^-4 * R * S^5, S * R * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R * S ] R209.92 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^-4 * R^4 * S^-6, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R209.93 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-4 * R * S^5, R * S^-1 * R * S^-2 * R^3 * S^2 * R^-1 * S^3 ] R209.94 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^20 ] R209.95 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R209.96 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-4 * R * S^5 ] R209.97 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S * R * S^-4 * R * S^5 ] R209.98 : Type {8,20}_20 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^20 ] R209.99 : Type {8,20}_40 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^-4 * R^4 * S^-6, S * R * S^-4 * R^2 * S^-4 * R * S ] R209.100 : Type {8,20}_40 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-4 * R^4 * S^-6, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-4 * R^2 * S^-4 * R * S ] R209.101 : Type {8,20}_40 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^20 ] R209.102 : Type {8,20}_40 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^20 ] R209.103 : Type {8,20}_40 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^20 ] R209.104 : Type {8,20}_80 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2, S^20 ] R209.105 : Type {8,72}_18 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R^3 * S^-3 * R * S^6 ] R209.106 : Type {8,72}_36 Order 2304 mV = 9 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^18 * R^2 * S^2 * R^-1 * S^-3 * R * S^13 ] R209.107 : Type {8,72}_36 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^18 * R^-1 * S^-1 * R^2 * S^-6 * R * S^11 ] R209.108 : Type {8,72}_36 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^18 * R * S^-5 * R * S^13 ] R209.109 : Type {8,72}_36 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-6 ] R209.110 : Type {8,72}_36 Order 2304 mV = 18 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^18 * R * S^-2 * R^2 * S^-2 * R * S^14 ] R209.111 : Type {8,72}_36 Order 2304 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, 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^18 * R * S^-2 * R^2 * S^-2 * R * S^14 ] R209.112 : Type {8,72}_36 Order 2304 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^8 * R^-1 * S^-5 ] R209.113 : Type {8,72}_36 Order 2304 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ] R209.114 : Type {8,72}_72 Order 2304 mV = 9 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^18 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^14 ] R209.115 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R^4 * S^18 ] R209.116 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^18 * R * S^-5 * R * S^13 ] R209.117 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R^-1 * S^-4 * R * S^2 * R^-1 * S^-1 * R * S^11 ] R209.118 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^72 ] R209.119 : Type {8,72}_72 Order 2304 mV = 18 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^18 * R^3 * S^-1 * R^3 * S^17 ] R209.120 : Type {8,72}_72 Order 2304 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, 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^72 ] R209.121 : Type {8,72}_72 Order 2304 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, 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^18 * R^4 * S^18 ] R209.122 : Type {8,72}_72 Order 2304 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^72 ] R209.123 : Type {8,72}_72 Order 2304 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, 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^18 * R^2 * S^2 * R^-1 * S^-3 * R * S^13 ] R209.124 : Type {8,72}_72 Order 2304 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^18 * R^-3 * S^-7 * R * S^11 ] R209.125 : Type {8,72}_72 Order 2304 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^72 ] R209.126 : Type {8,72}_72 Order 2304 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-2 * R * S^16 ] R209.127 : Type {8,280}_140 Order 2240 mV = 140 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^70 * R^4 * S^3 * T * S^-2 * T * S^65 ] R209.128 : Type {8,280}_140 Order 2240 mV = 140 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^70 * R * S^-1 * R * S^69 ] R209.129 : Type {10,35}_28 Order 2240 mV = 7 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R * S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 ] R209.130 : Type {12,44}_66 Order 2112 mV = 11 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^11 * R^2 * S * R^-2 * S^5 * R^2 * S^5 ] R209.131 : Type {12,44}_132 Order 2112 mV = 11 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^11 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^7 ] R209.132 : Type {12,44}_132 Order 2112 mV = 11 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^44 ] R209.133 : Type {16,32}_32 Order 2048 mV = 4 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, R^16, S^-5 * R^-1 * S * R * S^-2 * R^-1 * S^6 * R^-1 * S^-2 ] R209.134 : Type {16,32}_32 Order 2048 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^16, (R * S^-1 * R^6)^2, S^-2 * R^-2 * S^-4 * R^-1 * S^2 * R^-3 * S^-3 * R * S^4 * R * S^-1 ] R209.135 : Type {16,32}_32 Order 2048 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 * S^-1 * R * S^2 * R^-1 * S, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R209.136 : Type {16,32}_32 Order 2048 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 * S^-1 * R * S^2 * R^-1 * S, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^3 * S^4 * R^-1 * S^-1 ] R209.137 : Type {16,32}_32 Order 2048 mV = 4 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^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^4 * R * S^-1 * R^-1 * S * R^-2 * S^10 ] R209.138 : Type {16,32}_32 Order 2048 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^16, (R * S^-1 * R^6)^2, S^2 * R^-1 * S^-4 * R^-1 * S^2 * R^-4 * S^4 * R^-1 * S^-3 * R * S ] R209.139 : Type {16,32}_32 Order 2048 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^4 * S^2 * R^-3, R^16, S^-1 * R * S * R^-1 * S^-3 * T * S * R * S^-1 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-1 * T * S^2 * R^-1 * S^-2 ] R209.140 : Type {16,32}_32 Order 2048 mV = 4 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^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S * R^-2 * S^3 * R * S^-1 * R^-1 * S^2 * R^-2 * S^6 * R^-1 * S^-1 * R * S^2 ] R209.141 : Type {16,32}_32 Order 2048 mV = 4 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, R^16, S * R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^8 ] R209.142 : Type {16,32}_32 Order 2048 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^4 * S^2 * R^-3, R^16, S^-1 * R * S^6 * R * S^-1 * R^-3 * S^4 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R209.143 : Type {16,32}_32 Order 2048 mV = 4 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^32 ] R209.144 : Type {16,32}_32 Order 2048 mV = 4 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, R^16, S^-5 * R^-1 * S * R * S^-2 * R^-1 * S^6 * R^-1 * S^-2 ] R209.145 : Type {16,32}_32 Order 2048 mV = 4 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^32 ] R209.146 : Type {16,32}_32 Order 2048 mV = 4 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, R^16, S^5 * R * S^-3 * R^-1 * S^5 * R^-1 * S^-1 * R * S^2 ] R209.147 : Type {16,32}_32 Order 2048 mV = 8 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^-1 * R^4 * S^2 * R^-3, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^16, R^2 * S^-1 * R^6 * S^-1 * R * S^-2 * R^3 ] R209.148 : Type {16,32}_32 Order 2048 mV = 8 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^16, R^2 * S^-1 * R^6 * S^-1 * R * S^-2 * R^3 ] R209.149 : Type {16,32}_32 Order 2048 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^2 * S^2 * R^-1, R^16, R^4 * S^-1 * R^4 * S^-7 ] R209.150 : Type {16,32}_32 Order 2048 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^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R^16 ] R209.151 : Type {16,32}_32 Order 2048 mV = 8 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^4 * S^2 * R^-3, 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, S^-1 * R^7 * S * R^-2 * S^-2 * R ] R209.152 : Type {16,32}_32 Order 2048 mV = 8 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^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R209.153 : Type {16,32}_32 Order 2048 mV = 8 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^-3 * R * S^4, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1 ] R209.154 : Type {16,32}_32 Order 2048 mV = 8 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^7 * S * R^-2 * S^-2 * R ] R209.155 : Type {16,32}_32 Order 2048 mV = 8 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^4 * S^2 * R^-3, R^16, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.156 : Type {16,32}_32 Order 2048 mV = 8 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^16, (R * S^-1 * R^6)^2, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.157 : Type {16,32}_32 Order 2048 mV = 8 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^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.158 : Type {16,32}_32 Order 2048 mV = 8 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, R^16, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.159 : Type {16,32}_32 Order 2048 mV = 8 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^16, (R * S^-1 * R^6)^2, S^-1 * R^-1 * S * R * S^-5 * R^2 * S^-1 * R * S * R^-2 * S^4 * R^-1 * S^-3 ] R209.160 : Type {16,32}_32 Order 2048 mV = 8 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^-6 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R209.161 : Type {16,32}_32 Order 2048 mV = 8 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^4 * S^2 * R^-3, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1, R^-1 * S * R * S^-2 * R^3 * S^2 * R^-1 * S^-3 ] R209.162 : Type {16,32}_32 Order 2048 mV = 8 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^4 * S^2 * R^-3, R * S^-1 * R^6 * S * R^-2 * S^-1 * R * S^-1, R^-1 * S^2 * R * S^-1 * R^3 * S * R^-1 * S^-4 ] R209.163 : Type {16,32}_32 Order 2048 mV = 8 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^4 * S^2 * R^-3, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R209.164 : Type {16,32}_32 Order 2048 mV = 8 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^4 * S^2 * R^-3, S * R * S^-1 * R^-1 * S * R^2 * S^5 ] R209.165 : Type {16,32}_32 Order 2048 mV = 8 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, R^16, S^8 * R^-2 * S * R^-1 * S^-5 * R * S^2 ] R209.166 : Type {16,32}_32 Order 2048 mV = 8 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^16, S^32 ] R209.167 : Type {16,32}_32 Order 2048 mV = 8 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, R^16, S^7 * R^-2 * S * R^4 * S * R^-1 * S^-3 * R * S^4 ] R209.168 : Type {16,32}_32 Order 2048 mV = 8 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^32 ] R209.169 : Type {16,32}_32 Order 2048 mV = 8 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, R^16, S^-4 * R^-1 * S^4 * R^-7 * S^-8 ] R209.170 : Type {16,32}_32 Order 2048 mV = 8 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, R^16, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.171 : Type {16,32}_32 Order 2048 mV = 8 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, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^7 * S^3 * R^-1 * S^2, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.172 : Type {16,32}_32 Order 2048 mV = 8 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^6 * R * S^-1 * R * S^2 * R^-1 * S^-6 ] R209.173 : Type {16,32}_32 Order 2048 mV = 8 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.174 : Type {16,32}_32 Order 2048 mV = 8 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R209.175 : Type {16,32}_32 Order 2048 mV = 8 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-2 * S^-8 ] R209.176 : Type {16,32}_32 Order 2048 mV = 8 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, S^6 * R * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] R209.177 : Type {16,240}_60 Order 1920 mV = 120 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^16, S^30 * R * S^-5 * R * S^25 ] R209.178 : Type {16,240}_60 Order 1920 mV = 120 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^30 * R * S^-1 * R * S^29 ] R209.179 : Type {16,240}_120 Order 1920 mV = 120 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^30 * R * S^-5 * R * S^25 ] R209.180 : Type {16,240}_120 Order 1920 mV = 120 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^16, S^30 * R * S^-1 * R * S^29 ] R209.181 : Type {20,60}_12 Order 1920 mV = 10 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 * 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, S^2 * R^-2 * S * R^-9 * S^2 * R^-2 * S * R^-1 ] R209.182 : Type {20,60}_24 Order 1920 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, (R * S^-3 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S ] R209.183 : Type {20,60}_24 Order 1920 mV = 15 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 * 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^-6 * R^-3 * S^4 * R^-1 * S^-2, S^3 * R^-3 * S * R^-8 * S^3 * R^-1 * S ] R209.184 : Type {24,40}_4 Order 1920 mV = 8 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, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R209.185 : Type {24,40}_4 Order 1920 mV = 8 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, S^3 * R^4 * S^3 * R^-2 ] R209.186 : Type {24,40}_8 Order 1920 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^3)^2, S^3 * R^4 * S^3 * R^-2 ] R209.187 : Type {24,40}_8 Order 1920 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^3)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, S^-2 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S^-1 ] R209.188 : Type {24,40}_10 Order 1920 mV = 8 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 * S^-4 * R * S^5, R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2, R * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^2 ] R209.189 : Type {24,40}_10 Order 1920 mV = 8 mF = 8 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^8 * S^-1 * R^2 * S^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R209.190 : Type {24,40}_20 Order 1920 mV = 8 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^3 * R * S^-1 * R^2 * S^3 * R^-1 * S ] R209.191 : Type {24,40}_20 Order 1920 mV = 8 mF = 8 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^8 * S^-1 * R^2 * S^-1, S^3 * R * S^-1 * R^2 * S^3 * R^-1 * S ] R209.192 : Type {24,40}_30 Order 1920 mV = 10 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, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S * R^7 * S * R^-5, S^-3 * R^2 * S^-1 * R^-4 * S^-6 ] R209.193 : Type {24,40}_60 Order 1920 mV = 10 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, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S * R^7 * S * R^-5, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R209.194 : Type {24,40}_60 Order 1920 mV = 10 mF = 6 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^7 * R^-4 * S^7 * R^6 * S * R^-1 * S^-2 ] R209.195 : Type {24,40}_120 Order 1920 mV = 10 mF = 4 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)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^6 * R^2 * S^2 * R^-1 * S^-1 * R * S, R^-9 * S^-1 * R * S * R^-2 * S^-2 ] R209.196 : Type {24,40}_120 Order 1920 mV = 10 mF = 4 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)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-3 * R^2 * S^-1 * R^2 * S^-6, R^-9 * S^-1 * R * S * R^-2 * S^-2 ] R209.197 : Type {24,40}_120 Order 1920 mV = 10 mF = 6 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^7 * R^-6 * S^2 * R^-1 * S^-3 * R^2 * S^-2 * R * S * R^-1 * S^-2 ] R209.198 : Type {24,40}_120 Order 1920 mV = 10 mF = 6 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^-9 * S^2 * R^-2 * S^-2 * R^-1, S^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R209.199 : Type {24,40}_120 Order 1920 mV = 10 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^11 * S * R^-1 * S, S^40 ] R209.200 : Type {24,40}_120 Order 1920 mV = 20 mF = 6 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^10 * R * S^-1 * R * S^9, R^24 ] R209.201 : Type {24,40}_120 Order 1920 mV = 20 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^40 ] R209.202 : Type {24,456}_38 Order 1824 mV = 456 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^19 * S^-1 * R * S^-1 * R^2, S^19 * R^-1 * S^-7 * R * S^12 ] R209.203 : Type {24,456}_76 Order 1824 mV = 456 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^19 * S^-1 * R * S^-1 * R^2, S^19 * R^2 * S^19 ] R209.204 : Type {30,30}_4 Order 1920 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^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, S * R^-1 * S^2 * R^-1 * S^7 * R^-1 * T * S^-1 * R^6 * S^-3 * R * S^-1 * T * S * R^-2 * S^2 ] R209.205 : Type {30,30}_4 Order 1920 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^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^7 * S^-1 * R^3 * S^-1 * R^4 * S^-1 * R^10 * S^-1 * R^2 ] R209.206 : Type {30,30}_8 Order 1920 mV = 5 mF = 5 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, S * R * S^-2 * R^3 * S^3 * R^-2, S * R^-1 * S^2 * R^-3 * S * R^-1 * S * R^-1 * S * R^-9 * S^3 * R^-5 * S ] R209.207 : Type {30,30}_8 Order 1920 mV = 5 mF = 5 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, S * R^6 * S^5, S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-1 * R^6 * S^-1 * R^3 * S^-2 * R * S^-5 ] R209.208 : Type {30,30}_8 Order 1920 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^3 * S^3 * R^-1, R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^4 * R^-4 * S * R^-10 ] R209.209 : Type {30,30}_8 Order 1920 mV = 6 mF = 6 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^6 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * T * R^-9 * S * R^-1 * S * T * S^-1 * R^2 ] R209.210 : Type {30,30}_8 Order 1920 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R * S^-2 * R^3 * S * R^-2 * S^2, R^-8 * S^2 * R^-3 * S^2 ] R209.211 : Type {30,30}_8 Order 1920 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 * R^5 * S^2 * R^-1 * S, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, S^3 * R^-1 * S^3 * R^-16 * S * R^-1 * S^2 * R^-1 * S * R^-1 ] R209.212 : Type {32,224}_28 Order 1792 mV = 112 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R209.213 : Type {32,224}_28 Order 1792 mV = 112 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, R^13 * S^-1 * R * S^-1, S^14 * R * S^-5 * R * S^9 ] R209.214 : Type {32,224}_56 Order 1792 mV = 112 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^14 * R * S^-5 * R * S^9 ] R209.215 : Type {32,224}_56 Order 1792 mV = 112 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, R^13 * S^-1 * R * S^-1, S^14 * R^2 * S * R^-1 * S^-5 * R * S^8 ] R209.216 : Type {40,440}_22 Order 1760 mV = 440 mF = 20 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^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-6 * S, S^-2 * R^-1 * S^10 * R^-1 * S^-10 ] R209.217 : Type {40,440}_44 Order 1760 mV = 440 mF = 20 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^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-6 * S, S^11 * R^2 * S^11 ] R209.218 : Type {44,220}_20 Order 1760 mV = 110 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^-1 * S * R^-7 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-8 * S ] R209.219 : Type {46,437}_38 Order 1748 mV = 437 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^-9 * R^4 * S^-10 ] R209.220 : Type {56,56}_4 Order 1792 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^6 * S^2 * R^-2 * S, R^-2 * S * R^-3 * S^2 * R^-12 * S^2 * R^-4 * S * R^-1 ] R209.221 : Type {56,56}_4 Order 1792 mV = 14 mF = 14 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^28 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 ] R209.222 : Type {56,56}_8 Order 1792 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^3 * S * R^-2 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^-2 * R^6 * S^-2 * R * S^-1 * R^4 * S^-2 * R ] R209.223 : Type {56,56}_8 Order 1792 mV = 14 mF = 14 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^-1 * R^15 * S^-1 * R * S^-5 * R * S^-2 * T * S * R^-2 * S * R^-4 * S^3 * R^-1 * T * R * S^-1 * R * S^-3 * R^2 * S^-1 * R^5 * S^-1 * R^2 ] R209.224 : Type {56,56}_8 Order 1792 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^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^-23 * S * R^-5 * S * R^-1 * S^3 * R^-1 * S^2 * R^-10 * S^8 ] R209.225 : Type {56,56}_8 Order 1792 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^3, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, S * R^-1 * S^4 * R^-1 * T * S^-2 * R * S^-2 * R^5 * S^-2 * T * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 ] R209.226 : Type {56,56}_8 Order 1792 mV = 14 mF = 14 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 * R^-1 * S * R^-3 * S * R^-10 * S * R^-5 * S * R^-2 * S ] R209.227 : Type {78,429}_22 Order 1716 mV = 429 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^-7 * R^21 * S^-1 * R * S^-1 * R^4 * S^-4 ] R209.228 : Type {108,108}_4 Order 1728 mV = 27 mF = 27 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^-1 * R^76 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R209.229 : Type {108,108}_4 Order 1728 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^90 * S^-2 * R^10 * S^-2 * R^4 ] R209.230 : Type {108,108}_8 Order 1728 mV = 36 mF = 36 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^-37 * S * R^-3 * S * R^-7 * S * R^-3 * S ] R209.231 : Type {212,212}_4 Order 1696 mV = 106 mF = 106 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^171 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^15 ] R209.232 : Type {419,838}_2 Order 1676 mV = 838 mF = 419 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^200 * T * R^3 * T * R^-215 ] R209.233 : Type {420,420}_2 Order 1680 mV = 420 mF = 420 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^398 * S^-1 * R^18 * T * R^-2 * S * T ] R209.234 : Type {836,836}_2 Order 1672 mV = 836 mF = 836 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^215 * T * R^-3 * T * S^-199 * R ] Genus 210 R210.1 : Type {3,44}_6 Order 5808 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^44 ] R210.2 : Type {4,213}_426 Order 3408 mV = 71 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-213 ] R210.3 : Type {4,422}_844 Order 3376 mV = 211 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^422 ] R210.4 : Type {4,840}_840 Order 3360 mV = 840 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^210 * R^2 * S^210 ] R210.5 : Type {6,22}_6 Order 2904 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 ] R210.6 : Type {6,22}_6 Order 2904 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, 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^22 ] R210.7 : Type {6,212}_636 Order 2544 mV = 106 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^212 ] R210.8 : Type {8,142}_568 Order 2272 mV = 71 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^142 ] R210.9 : Type {10,12}_4 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, 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, (R^3 * S^-1)^3 ] R210.10 : Type {10,12}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-1 * R)^4, (S^-2 * R * S^-1)^3 ] R210.11 : Type {10,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, 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 ] R210.12 : Type {10,12}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-1 * R^5 * S^-1 * R * S^3 ] R210.13 : Type {12,86}_516 Order 2064 mV = 43 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^86 ] R210.14 : Type {14,72}_504 Order 2016 mV = 36 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^72 ] R210.15 : Type {16,62}_496 Order 1984 mV = 31 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^62 ] R210.16 : Type {22,44}_44 Order 1936 mV = 4 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^-1 * S * R^-1 * S * R^-18, S^44 ] R210.17 : Type {22,44}_44 Order 1936 mV = 22 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^22 ] R210.18 : Type {22,44}_44 Order 1936 mV = 22 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^44 ] R210.19 : Type {22,462}_42 Order 1848 mV = 462 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^-1 * S * R^-1 * S * R^-18, S^21 * R^-2 * S^21 ] R210.20 : Type {26,455}_70 Order 1820 mV = 455 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-18 * R * S^11 * R^-1 * S^-6 ] R210.21 : Type {30,32}_480 Order 1920 mV = 16 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^32 ] R210.22 : Type {44,440}_40 Order 1760 mV = 440 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^-10 * R^2 * S^-10 ] R210.23 : Type {58,435}_30 Order 1740 mV = 435 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^7 * R^-14 * S^8 ] R210.24 : Type {62,434}_14 Order 1736 mV = 434 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^6 * R * S^-6 * R * S^2, S^13 * R^-7 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R210.25 : Type {86,430}_10 Order 1720 mV = 430 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^-4 * R * S^5, S^29 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R210.26 : Type {122,427}_14 Order 1708 mV = 427 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^6 * R * S^-6 * R * S^2, S^5 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-13 * S^2 ] R210.27 : Type {142,426}_6 Order 1704 mV = 426 mF = 71 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^84 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R210.28 : Type {212,424}_8 Order 1696 mV = 424 mF = 106 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^52 * R^-13 * S * R^-1 * S * R^-3 * S * T * R * S^-1 * R^8 * S^-1 * R * T * S * R^-3 * S * R^-1 * S * R^-15 ] R210.29 : Type {213,213}_4 Order 1704 mV = 71 mF = 71 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^47 * S^-2 * R^14 * S^-1 * R * S^-144 * R^2 ] R210.30 : Type {421,842}_2 Order 1684 mV = 842 mF = 421 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^199 * T * R^3 * T * R^-217 * S ] R210.31 : Type {422,422}_2 Order 1688 mV = 422 mF = 422 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^219 * T * R^-3 * T * S^-200 ] R210.32 : Type {840,840}_2 Order 1680 mV = 840 mF = 840 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^398 * S^-1 * R^18 * T * R^-3 * T ] Genus 211 R211.1 : Type {3,12}_10 Order 10080 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, (S^2 * R^-1 * S^2)^4, S * R * S^-2 * R^-1 * S^4 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-4 * R * S^3 ] R211.2 : Type {4,18}_90 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^18 ] R211.3 : Type {4,24}_6 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * R * S^-1 * R * S^-1)^2 ] R211.4 : Type {4,24}_42 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-1 * R * S^-2 * R * S^-1 * R * S^6, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^3 * R^-1 * S^-1 * R * S^-1 * R, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2 ] R211.5 : Type {4,424}_424 Order 3392 mV = 212 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^106 * R * S^-1 * R * S^105 ] R211.6 : Type {4,424}_424 Order 3392 mV = 212 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^424 ] R211.7 : Type {4,844}_422 Order 3376 mV = 844 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^211 * R^2 * S^211 ] R211.8 : Type {6,8}_6 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2 ] R211.9 : Type {6,8}_12 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-2 * R^2 * S^-1 * R)^2 ] R211.10 : Type {6,8}_24 Order 4032 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^2 * S^-3 * R * S^-2 * R * S^2 ] R211.11 : Type {6,8}_42 Order 4032 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R211.12 : Type {6,24}_10 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 ] R211.13 : Type {6,24}_20 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R211.14 : Type {6,24}_30 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2 * S^-1 * R)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R211.15 : Type {6,24}_60 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R211.16 : Type {6,108}_54 Order 2592 mV = 27 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^27 * R^2 * S^2 * R^-1 * S^-1 * R * S^24 ] R211.17 : Type {6,213}_426 Order 2556 mV = 71 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-213 ] R211.18 : Type {6,633}_422 Order 2532 mV = 633 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-106 * R^2 * S^-105 ] R211.19 : Type {8,12}_30 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R * S ] R211.20 : Type {8,12}_60 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, (R * S^-2 * R * S^-2 * R)^2 ] R211.21 : Type {8,16}_6 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-4 * R * S^-1)^2 ] R211.22 : Type {8,16}_6 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R211.23 : Type {8,16}_12 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R211.24 : Type {8,16}_12 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^-4 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R211.25 : Type {8,16}_14 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^4 * S^-5, R * S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-2 * R * S^2 ] R211.26 : Type {8,16}_14 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, R * S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-2 * R * S^2 ] R211.27 : Type {8,16}_28 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^4 * S^-5, R^-1 * S^2 * R * S^-2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R211.28 : Type {8,16}_28 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R211.29 : Type {8,96}_32 Order 2304 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^6 * R^-2 * S^2 * R^-2 * S^8 ] R211.30 : Type {8,96}_32 Order 2304 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^6 * R^-2 * S^2 * R^-2 * S^8 ] R211.31 : Type {9,9}_18 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R211.32 : Type {10,20}_6 Order 2400 mV = 5 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-3 * R * S^4 ] R211.33 : Type {10,20}_12 Order 2400 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-3 * R^-4 * S^-4 * R * S^-1 ] R211.34 : Type {10,20}_30 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S^-2 ] R211.35 : Type {10,20}_60 Order 2400 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^2 * S^-3 * R^-2 * S^6 ] R211.36 : Type {18,18}_6 Order 2160 mV = 3 mF = 3 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^2 * R^-1 * S, S * R^6 * S^5, R^-3 * S * R^-3 * S * R^-6 * S * R^-1 * S^2 ] R211.37 : Type {24,24}_6 Order 2016 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^5 * S^-1 * R * S * R^-1 * S, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, (R^3 * S^-1)^3 ] R211.38 : Type {24,24}_8 Order 2016 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 * S^-2 * R^3 * S * R^-2 * S^2, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R^3 ] R211.39 : Type {63,126}_14 Order 1764 mV = 63 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, R * S^-1 * R^-8 * S^-1 * R^5, R^3 * S^-1 * R * S^-1 * R^2 * S^-14 * R^5 * S^-1 * R^5 * S^-1 * R^8 * S^-1 * R^6 * S^-13 * R ] R211.40 : Type {108,216}_8 Order 1728 mV = 108 mF = 27 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^50 * S^-1 * R^4 * S^-12 * R^3 * S^-1 * R * S^-1 * R^14 * S^-1 * R^6 * S^-14 ] R211.41 : Type {108,216}_8 Order 1728 mV = 108 mF = 54 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^49 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R211.42 : Type {144,144}_6 Order 1728 mV = 72 mF = 48 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^85 * S^-1 * R^3 * S^-12 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-13 * R ] R211.43 : Type {144,144}_12 Order 1728 mV = 72 mF = 48 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^7 * S * R^-5, R^13 * S^-1 * R^5 * S^-12 * R^20 * S^-1 * R^6 * S^-14 ] R211.44 : Type {423,846}_2 Order 1692 mV = 846 mF = 423 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^200 * T * R^3 * T * R^-219 ] R211.45 : Type {424,424}_2 Order 1696 mV = 424 mF = 424 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^401 * T * R * S^-2 * T * S * R^-18 ] R211.46 : Type {424,424}_4 Order 1696 mV = 424 mF = 424 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^170 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^14 * S^-1 ] R211.47 : Type {844,844}_2 Order 1688 mV = 844 mF = 844 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^219 * T * R^-3 * T * S^-199 * R ] Genus 212 R212.1 : Type {4,426}_852 Order 3408 mV = 213 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^426 ] R212.2 : Type {4,848}_848 Order 3392 mV = 848 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^212 * R^2 * S^212 ] R212.3 : Type {6,214}_642 Order 2568 mV = 107 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^214 ] R212.4 : Type {6,636}_212 Order 2544 mV = 636 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^106 * R^2 * S^106 ] R212.5 : Type {8,284}_568 Order 2272 mV = 142 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^71 * R^4 * S^3 * T * S^-2 * T * S^66 ] R212.6 : Type {10,108}_540 Order 2160 mV = 54 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^108 ] R212.7 : Type {10,530}_106 Order 2120 mV = 530 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^53 * R * S^-2 * R * S^51 ] R212.8 : Type {18,477}_106 Order 1908 mV = 477 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^-1 * S * R^-15 * S, S^-27 * R * S^4 * R^-1 * S^-22 ] R212.9 : Type {20,96}_480 Order 1920 mV = 48 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 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^15 ] R212.10 : Type {88,110}_40 Order 1760 mV = 55 mF = 44 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^-1 * S * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^5 ] R212.11 : Type {108,432}_16 Order 1728 mV = 432 mF = 54 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^7 * R^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R212.12 : Type {214,428}_4 Order 1712 mV = 428 mF = 107 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^156 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R212.13 : Type {425,850}_2 Order 1700 mV = 850 mF = 425 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^402 * T * R * S^-2 * T * S * R^-17 * S ] R212.14 : Type {426,426}_2 Order 1704 mV = 426 mF = 426 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^403 * T * R * S^-2 * T * S * R^-18 ] R212.15 : Type {848,848}_2 Order 1696 mV = 848 mF = 848 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^401 * T * R * S^-2 * T * S * R^-17 * S ] Genus 213 R213.1 : Type {4,216}_54 Order 3456 mV = 72 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^27 * R * S^-8 * R * S^19 ] R213.2 : Type {4,216}_108 Order 3456 mV = 54 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^54 * R^2 * S * R^-1 * S^-1 * R * S^52 ] R213.3 : Type {4,216}_108 Order 3456 mV = 72 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^27 * R * S^-2 * R * S^25 ] R213.4 : Type {4,216}_216 Order 3456 mV = 54 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^216 ] R213.5 : Type {4,216}_216 Order 3456 mV = 72 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^216 ] R213.6 : Type {4,216}_216 Order 3456 mV = 72 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^54 * R * S^-2 * R * S^52 ] R213.7 : Type {4,428}_428 Order 3424 mV = 214 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^428 ] R213.8 : Type {4,852}_426 Order 3408 mV = 852 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^213 * R^2 * S^213 ] R213.9 : Type {6,56}_42 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^8, S * R * S^-1 * R^-1 * S^9 * R^-1 * S^-1 * R * S^2 ] R213.10 : Type {6,56}_42 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-5 * R^2 * S^-5 * R * S^2 ] R213.11 : Type {6,56}_84 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^14 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^9 ] R213.12 : Type {6,56}_168 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^56 ] R213.13 : Type {8,144}_144 Order 2304 mV = 36 mF = 2 Defining relations for automorphism group: [ R^8, 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^36 * R^3 * S^-2 * R * S^34 ] R213.14 : Type {8,144}_144 Order 2304 mV = 36 mF = 2 Defining relations for automorphism group: [ R^8, 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^36 * R^2 * S * R^-1 * S^-6 * R^-1 * S^29 ] R213.15 : Type {8,144}_144 Order 2304 mV = 36 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^36 * R^2 * S^2 * R^-1 * S^-3 * R * S^31 ] R213.16 : Type {8,144}_144 Order 2304 mV = 36 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^144 ] R213.17 : Type {8,144}_144 Order 2304 mV = 48 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^36 * R^3 * S^-6 * R * S^30 ] R213.18 : Type {8,144}_144 Order 2304 mV = 48 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^36 * R * S^-2 * R * S^34 ] R213.19 : Type {8,144}_144 Order 2304 mV = 72 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^18 * R * S^-5 * R * S^13 ] R213.20 : Type {8,144}_144 Order 2304 mV = 72 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^18 * R * S^-1 * R * S^17 ] R213.21 : Type {8,144}_144 Order 2304 mV = 72 mF = 2 Defining relations for automorphism group: [ R^8, 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^36 * R * S^-1 * R * S^35 ] R213.22 : Type {8,144}_144 Order 2304 mV = 72 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^144 ] R213.23 : Type {8,568}_142 Order 2272 mV = 568 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^71 * R * S^-2 * R * S^69 ] R213.24 : Type {8,568}_284 Order 2272 mV = 568 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^71 * R^2 * S^71 ] R213.25 : Type {12,66}_44 Order 2112 mV = 11 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^11 * R^2 * S^4 * R^-1 * S^-1 * R * S^6 ] R213.26 : Type {12,66}_88 Order 2112 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^11 * R * S^-1 * R^3 * S^2 * R^-1 * S^-5 * R * S^3 ] R213.27 : Type {12,172}_258 Order 2064 mV = 86 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^43 * R^5 * S^-2 * R * S^41 ] R213.28 : Type {14,497}_142 Order 1988 mV = 497 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^-36 * R * S^4 * R^-1 * S^-31 ] R213.29 : Type {20,120}_6 Order 1920 mV = 40 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 * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 * S^-2 * R * S^-1 * R^2 * S^-2 ] R213.30 : Type {20,120}_12 Order 1920 mV = 30 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 * 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^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2, S^3 * R^-3 * S * R^-8 * S^3 * R^-1 * S ] R213.31 : Type {20,120}_12 Order 1920 mV = 40 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 * R^5 * S * R^-3, S * R^-2 * S * R^-1 * S^2 * R^-8 * S * R^-1 * S * R^-2 ] R213.32 : Type {20,120}_24 Order 1920 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-7 * S^3, S^12 * R^4 * S^12 ] R213.33 : Type {20,120}_24 Order 1920 mV = 40 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, S^12 * R * S^-1 * R * S * R^-1 * S^-5 * R * S^5 ] R213.34 : Type {20,120}_24 Order 1920 mV = 40 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 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S * R * S^-3 * R^2 * S^-6 * R * S^2 ] R213.35 : Type {24,60}_20 Order 1920 mV = 10 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^-1 * R^6 * S^-1 * R * S^-2 * R, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R213.36 : Type {24,60}_20 Order 1920 mV = 15 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^10 * R * S^-3 * R * S^7 ] R213.37 : Type {24,60}_40 Order 1920 mV = 10 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^2 * R * S^-1 * R^-1 * S * R^2 * S^6 ] R213.38 : Type {24,60}_40 Order 1920 mV = 15 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^-1 * R^10 * S^-1 * R^2 * S^-3 * R * S^-5 * R, S^10 * R * S^-3 * R * S^7 ] R213.39 : Type {30,40}_6 Order 1920 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R213.40 : Type {30,40}_6 Order 1920 mV = 5 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R213.41 : Type {30,40}_12 Order 1920 mV = 5 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^-2 * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-4 ] R213.42 : Type {30,40}_12 Order 1920 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^3 * S^2 * R^-2, S * R * S^-3 * R * S^4, S * R^7 * S * R^-5, R * S^-2 * R^5 * S * R^-1 * S^-2 * R * S^-1 ] R213.43 : Type {30,40}_24 Order 1920 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R213.44 : Type {36,52}_234 Order 1872 mV = 26 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^8 * T * R^4 * T * S^5 * R^4 * S^5 * T * R^5 * S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R213.45 : Type {56,112}_16 Order 1792 mV = 28 mF = 14 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 * S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R^5 * S^-1 * R * S^-5 * R * S^-2 * T * S * R^-2 * S * R^-5 * S^3 * T * S^-1 * R^2 * S^-3 * R^2 * S^-1 * R^7 ] R213.46 : Type {56,112}_16 Order 1792 mV = 28 mF = 14 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 * R^-1 * S * R^-3 * S * R^-10 * S * R^-5 * S * R^-2 * S ] R213.47 : Type {56,112}_16 Order 1792 mV = 28 mF = 14 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^-1 * S^4 * R^-5 * S^-6 * R^-2 * S^-2, S^4 * R^-2 * S * R^-1 * S * R^-10 * S * R^-1 * S * R^-2 * S^4 ] R213.48 : Type {56,112}_16 Order 1792 mV = 28 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-1 * S * R^-13 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-14 * S ] R213.49 : Type {56,112}_16 Order 1792 mV = 56 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, R * S^-1 * R^-9 * S^-1 * R^6, R^-5 * S^9 * R^-6 * S * R^-8 * S * R^-5 * S * R^-5 * S^14 * R^-1 ] R213.50 : Type {56,112}_16 Order 1792 mV = 56 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 * S^-3 * R * S^4, S * R^6 * S * R^-2 * S^2, R^2 * S^-1 * R^16 * S^-8 * R^18 * S^-11 ] R213.51 : Type {56,112}_16 Order 1792 mV = 56 mF = 14 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^-1 * S^4 * R^-5 * S^-6 * R^-2 * S^-2, S^2 * R^-1 * S * R^-1 * S^3 * R^-2 * S * R^-4 * S * R^-2 * S^3 * R^-1 * S^3 * R^-1 * S^2 ] R213.52 : Type {56,112}_16 Order 1792 mV = 56 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, S^-4 * R^-1 * S^4 * R^-5 * S^-6 * R^-2 * S^-2, R * S^-3 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R213.53 : Type {216,216}_4 Order 1728 mV = 72 mF = 72 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^90 * S^-2 * R^10 * S^-2 * R * S^-3 ] R213.54 : Type {216,216}_4 Order 1728 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^2, R^-2 * S^146 * R^-1 * S * R^-14 * S^2 * R^-49 * S ] R213.55 : Type {216,216}_4 Order 1728 mV = 108 mF = 108 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^159 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S ] R213.56 : Type {216,216}_4 Order 1728 mV = 108 mF = 108 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^76 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R213.57 : Type {216,216}_8 Order 1728 mV = 72 mF = 72 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^-1 * R^33 * S^-2 * R^2 * S^-1 * R * S^-1 * R^11 * S^-2 ] R213.58 : Type {216,216}_8 Order 1728 mV = 72 mF = 72 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 * S^-1 * R * S^-1 * R^30 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R213.59 : Type {286,429}_6 Order 1716 mV = 429 mF = 143 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^86 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R213.60 : Type {427,854}_2 Order 1708 mV = 854 mF = 427 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^202 * T * R^17 * T * R^-1 * S * R^-1 * S * R^-203 ] R213.61 : Type {428,428}_2 Order 1712 mV = 428 mF = 428 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^204 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-202 * R ] R213.62 : Type {852,852}_2 Order 1704 mV = 852 mF = 852 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^403 * T * R * S^-2 * T * S * R^-17 * S ] Genus 214 R214.1 : Type {4,430}_860 Order 3440 mV = 215 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^430 ] R214.2 : Type {4,856}_856 Order 3424 mV = 856 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^214 * R^2 * S^214 ] R214.3 : Type {6,216}_216 Order 2592 mV = 72 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^216 ] R214.4 : Type {6,216}_216 Order 2592 mV = 108 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^216 ] R214.5 : Type {6,642}_214 Order 2568 mV = 642 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^107 * R * S^-1 * R * S^106 ] R214.6 : Type {10,535}_214 Order 2140 mV = 535 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-54 * R * S * R^-1 * S^-52 ] R214.7 : Type {12,45}_90 Order 2160 mV = 15 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^-45 ] R214.8 : Type {12,258}_172 Order 2064 mV = 129 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^43 * R * S^-3 * R * S^40 ] R214.9 : Type {16,124}_496 Order 1984 mV = 62 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^31 * R^-3 * S^-3 * T * R^-1 * S^-2 * R^-3 * T * S^-2 * R * S^24 ] R214.10 : Type {42,66}_154 Order 1848 mV = 33 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^4)^2, R^-10 * S^-1 * R^3 * S^-1 * R^-1, S^11 * R * S^-1 * R * S^10 ] R214.11 : Type {88,220}_40 Order 1760 mV = 110 mF = 44 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^-1 * S^2 * R^-1 * S^3 * R^-2 * S * R^-4 * S^7 ] R214.12 : Type {429,858}_2 Order 1716 mV = 858 mF = 429 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^205 * T * R^17 * T * R^-1 * S * R^-1 * S * R^-201 * S ] R214.13 : Type {430,430}_2 Order 1720 mV = 430 mF = 430 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^203 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-206 ] R214.14 : Type {856,856}_2 Order 1712 mV = 856 mF = 856 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^204 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-203 ] Genus 215 R215.1 : Type {4,432}_432 Order 3456 mV = 216 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^108 * R * S^-1 * R * S^107 ] R215.2 : Type {4,432}_432 Order 3456 mV = 216 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^432 ] R215.3 : Type {4,860}_430 Order 3440 mV = 860 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^215 * R^2 * S^215 ] R215.4 : Type {6,645}_430 Order 2580 mV = 645 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-108 * R * S * R^-1 * S^-106 ] R215.5 : Type {8,288}_288 Order 2304 mV = 144 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^72 * R * S^-1 * R * S^71 ] R215.6 : Type {8,288}_288 Order 2304 mV = 144 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^72 * R^4 * S^3 * T * S^-2 * T * S^67 ] R215.7 : Type {12,88}_66 Order 2112 mV = 22 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^11 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^7 ] R215.8 : Type {12,88}_132 Order 2112 mV = 22 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^11 * R * S^-1 * R^2 * S^-5 * R * S^5 ] R215.9 : Type {12,88}_264 Order 2112 mV = 44 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^22 * R * S^-1 * R * S^21 ] R215.10 : Type {12,88}_264 Order 2112 mV = 44 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^88 ] R215.11 : Type {12,516}_86 Order 2064 mV = 516 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^43 * R^2 * S^43 ] R215.12 : Type {20,240}_48 Order 1920 mV = 120 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, R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-7 * S^3, S^12 * R * S^-1 * R * S^11 ] R215.13 : Type {20,240}_48 Order 1920 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, R^-1 * S * R^-17 * S, S^24 * R * S^-3 * R * S^21 ] R215.14 : Type {22,473}_86 Order 1892 mV = 473 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^-1 * S * R^-1 * S * R^-18, S^-22 * R * S^5 * R^-1 * S^-16 ] R215.15 : Type {24,80}_240 Order 1920 mV = 40 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^11 * S * R^-1 * S, S^20 * R * S^-1 * R * S^19 ] R215.16 : Type {24,80}_240 Order 1920 mV = 40 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^20 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^9 ] R215.17 : Type {28,68}_238 Order 1904 mV = 34 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^17 * R^-2 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^4 ] R215.18 : Type {56,224}_32 Order 1792 mV = 112 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^7 * R^-10 * S^5 * R^-2 * S^4 ] R215.19 : Type {56,224}_32 Order 1792 mV = 112 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, S^-3 * R^-1 * S^5 * R^-3 * S^-6 * R^-2 * S^-2, R * S^-3 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R215.20 : Type {88,440}_10 Order 1760 mV = 440 mF = 44 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^30 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R215.21 : Type {88,440}_20 Order 1760 mV = 440 mF = 44 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^9 * R^-1 * S^-9, S^-8 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^8 * S^-3 ] R215.22 : Type {174,435}_10 Order 1740 mV = 435 mF = 87 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^34 * R^-11 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R215.23 : Type {431,862}_2 Order 1724 mV = 862 mF = 431 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^205 * T * R^17 * T * R^-1 * S * R^-1 * S * R^-203 * S ] R215.24 : Type {432,432}_2 Order 1728 mV = 432 mF = 432 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^206 * S^-1 * R * T * R^-18 * T * S^-205 * R ] R215.25 : Type {432,432}_4 Order 1728 mV = 432 mF = 432 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^158 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R215.26 : Type {860,860}_2 Order 1720 mV = 860 mF = 860 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^203 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-205 * R ] Genus 216 R216.1 : Type {4,90}_36 Order 3600 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * R^-1 * S^12 * R^-1 * S^-1 * R * S^2 ] R216.2 : Type {4,219}_438 Order 3504 mV = 73 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-219 ] R216.3 : Type {4,434}_868 Order 3472 mV = 217 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^434 ] R216.4 : Type {4,864}_864 Order 3456 mV = 864 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^216 * R^2 * S^216 ] R216.5 : Type {6,218}_654 Order 2616 mV = 109 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^218 ] R216.6 : Type {8,60}_24 Order 2400 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-2 * R^2 * S^6 ] R216.7 : Type {8,146}_584 Order 2336 mV = 73 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^146 ] R216.8 : Type {10,24}_24 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^24 ] R216.9 : Type {10,24}_24 Order 2400 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 ] R216.10 : Type {10,24}_24 Order 2400 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^24 ] R216.11 : Type {10,110}_110 Order 2200 mV = 22 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^110 ] R216.12 : Type {10,110}_110 Order 2200 mV = 55 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^11 * R * S^-5 * R * S^6 ] R216.13 : Type {10,110}_110 Order 2200 mV = 55 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^110 ] R216.14 : Type {10,540}_108 Order 2160 mV = 540 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^54 * R * S^-3 * R * S^51 ] R216.15 : Type {11,12}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R216.16 : Type {11,12}_22 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-2 * R^3)^2, (R * S^-3 * R^2)^2 ] R216.17 : Type {14,74}_518 Order 2072 mV = 37 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^74 ] R216.18 : Type {14,504}_72 Order 2016 mV = 504 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^36 * R^2 * S^36 ] R216.19 : Type {18,56}_504 Order 2016 mV = 28 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^56 ] R216.20 : Type {20,50}_100 Order 2000 mV = 5 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 * R^-17 * S, S^50 ] R216.21 : Type {20,50}_100 Order 2000 mV = 25 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^50 ] R216.22 : Type {20,480}_96 Order 1920 mV = 480 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 * R^-17 * S, S^24 * R^-2 * S^24 ] R216.23 : Type {26,38}_494 Order 1976 mV = 19 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^38 ] R216.24 : Type {26,468}_36 Order 1872 mV = 468 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^18 * R * S^-4 * R * S^14 ] R216.25 : Type {34,459}_54 Order 1836 mV = 459 mF = 17 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^4, S^-14 * R * S^5 * R^-1 * S^-8 ] R216.26 : Type {38,456}_24 Order 1824 mV = 456 mF = 19 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^6, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R216.27 : Type {50,450}_18 Order 1800 mV = 450 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^12 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^12 ] R216.28 : Type {74,444}_12 Order 1776 mV = 444 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R216.29 : Type {90,90}_10 Order 1800 mV = 45 mF = 18 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^-2 * S^31 * R^-1 * S^13 * R^-5 * S^3 * R^-12 * S^2 * R^-5 * S^15 * R^-1 ] R216.30 : Type {90,90}_10 Order 1800 mV = 45 mF = 45 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^2 * S^4 * R * S^-2 * R^5 * S * R^-2 * S^3, R^-1 * S^2 * R^-1 * T * R^4 * S^-1 * R^2 * S^-1 * R^4 * T * R^-2 ] R216.31 : Type {98,441}_18 Order 1764 mV = 441 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-7 * R^2 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^12 * S^-2 ] R216.32 : Type {110,440}_8 Order 1760 mV = 440 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^-3 * R * S^4, S^55 * R^-13 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R216.33 : Type {111,148}_6 Order 1776 mV = 37 mF = 37 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, S * R^-1 * S^10 * R^-3 * S^3 * R^-2 * S * R^-1 * S * R^-6 * S * R^-1 * S * R^-2 * S * R^-1 * S ] R216.34 : Type {146,438}_6 Order 1752 mV = 438 mF = 73 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^89 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R216.35 : Type {218,436}_4 Order 1744 mV = 436 mF = 109 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^160 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R216.36 : Type {219,219}_4 Order 1752 mV = 73 mF = 73 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^50 * S^-2 * R^14 * S^-1 * R * S^-147 * R^2 ] R216.37 : Type {290,435}_6 Order 1740 mV = 435 mF = 145 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^87 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R216.38 : Type {433,866}_2 Order 1732 mV = 866 mF = 433 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^204 * T * R^18 * T * R^-1 * S * R^-207 * S ] R216.39 : Type {434,434}_2 Order 1736 mV = 434 mF = 434 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^209 * S^-1 * R * T * R^-18 * T * S^-205 ] R216.40 : Type {864,864}_2 Order 1728 mV = 864 mF = 864 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^206 * S^-1 * R * T * R^-18 * T * S^-206 ] Genus 217 R217.1 : Type {3,10}_24 Order 12960 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S^-5 * R * S^-2 * R * S^-2 * R * S^4 * R^-1 * S^-2 * R * S, S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-5 * R^2 * S^5 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R217.2 : Type {3,12}_72 Order 10368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-6 * R * S^-1 * R * S^6 * R^-1 * S, S * R * S^-2 * 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 * S^-2 * R * S^2 * R^-1 * S^2 ] R217.3 : Type {3,12}_72 Order 10368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * 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^-1 * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R217.4 : Type {3,24}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, 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^24 ] R217.5 : Type {3,24}_24 Order 6912 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^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 ] R217.6 : Type {3,24}_48 Order 6912 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, S * R * S^-3 * R * S^-3 * R * S^-4 * R * S^-2 * R * S, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R217.7 : Type {3,30}_30 Order 6480 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-4 * R * S^-3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-2, S^-1 * R^-1 * S^6 * R * S^-2 * R * S^6 * R^-1 * S^-3 ] R217.8 : Type {3,42}_18 Order 6048 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S ] R217.9 : Type {3,42}_24 Order 6048 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1, S * R * S^-6 * R * S^-1 * R * S^7 * R^-1 * S, S^2 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2 * R * S^2 * R^-1 * S ] R217.10 : Type {3,60}_20 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-5 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^-2, S^-1 * R^-1 * S^6 * R * S^-2 * R * S^6 * R^-1 * S^-3 ] R217.11 : Type {3,60}_40 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-5 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^-2, S^-3 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 * R^-1 * S^-1 ] R217.12 : Type {4,6}_6 Order 10368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (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)^12 ] R217.13 : Type {4,6}_18 Order 10368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-1 * R^-1 * S * R * S^-1 * 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^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R217.14 : Type {4,6}_24 Order 10368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^3 * R^2 * S^2 * R^-1 * S ] R217.15 : Type {4,6}_24 Order 10368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^-3 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S * R^-1 * S ] R217.16 : Type {4,6}_72 Order 10368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^2 * R * S^-1 * R^-2 * S^-3 * R^-2 * S^-3 * R^-2 * S^3 * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 ] R217.17 : Type {4,10}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R217.18 : Type {4,10}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R217.19 : Type {4,10}_20 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (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^-1 * S^-5 * R^-1 * S * R^2 * S^5 * R^2 * S ] R217.20 : Type {4,12}_6 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] R217.21 : Type {4,12}_6 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-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 ] R217.22 : Type {4,12}_12 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-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 ] R217.23 : Type {4,12}_12 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] R217.24 : Type {4,12}_12 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R * S^-1 * 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 ] R217.25 : Type {4,12}_12 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^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, R^-1 * S^-6 * R^2 * S^6 * R^-1 ] R217.26 : Type {4,12}_12 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^6 ] R217.27 : Type {4,12}_18 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (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 ] R217.28 : Type {4,12}_36 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, (R * S^-2)^6 ] R217.29 : Type {4,16}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1 * R * S^-1)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] R217.30 : Type {4,16}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-1 * S^5 * R^-1 * S^5 * R^-1 * S^-1 ] R217.31 : Type {4,16}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R * S^5 ] R217.32 : Type {4,16}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] R217.33 : Type {4,16}_48 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, 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 ] R217.34 : Type {4,16}_48 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, (R * S^-1)^12 ] R217.35 : Type {4,16}_48 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-3 * R^-1 * S ] R217.36 : Type {4,16}_48 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, (R * S^-1)^12 ] R217.37 : Type {4,28}_84 Order 4032 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^28 ] R217.38 : Type {4,36}_18 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^-6 * R^-1 * S^2 * R * S^-1 * R^-2 * S^-5 * R * S^2 * R^-1 * S^-2 ] R217.39 : Type {4,40}_12 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^2 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-3 * R * S^2 ] R217.40 : Type {4,40}_12 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 ] R217.41 : Type {4,40}_24 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 ] R217.42 : Type {4,40}_24 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S ] R217.43 : Type {4,52}_156 Order 3744 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^52 ] R217.44 : Type {4,100}_150 Order 3600 mV = 25 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^25 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^20 ] R217.45 : Type {4,112}_28 Order 3584 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^14 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^7 ] R217.46 : Type {4,112}_56 Order 3584 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^14 * R^2 * S * R^-1 * S^-1 * R * S^12 ] R217.47 : Type {4,112}_112 Order 3584 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^112 ] R217.48 : Type {4,112}_112 Order 3584 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^28 * R * S^-3 * R * S^25 ] R217.49 : Type {4,112}_112 Order 3584 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^28 * R * S^-3 * R * S^25 ] R217.50 : Type {4,112}_112 Order 3584 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^28 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^19 ] R217.51 : Type {4,220}_220 Order 3520 mV = 55 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^220 ] R217.52 : Type {4,436}_436 Order 3488 mV = 218 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^436 ] R217.53 : Type {4,868}_434 Order 3472 mV = 868 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^217 * R^2 * S^217 ] R217.54 : Type {5,10}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3, R^-1 * S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 * R^-1 ] R217.55 : Type {6,6}_4 Order 5184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, 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)^9 ] R217.56 : Type {6,6}_8 Order 5184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^-1 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1 * S * R^-1 * S^-2 ] R217.57 : Type {6,6}_12 Order 5184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, 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 ] R217.58 : Type {6,6}_18 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-1)^6, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1, S^-1 * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R, R^-1 * S^2 * R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S ] R217.59 : Type {6,6}_24 Order 5184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (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, R * S^-1 * R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^3 * R ] R217.60 : Type {6,6}_24 Order 5184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S * R * S^-1 * R^-2 * S * R^3 * S * R^-1 * S^3 * R^-1 * S ] R217.61 : Type {6,6}_24 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S^2 * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R217.62 : Type {6,6}_72 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^2 * S^3 * R^-1, R^-1 * S * R^-1 * S * R^-3 * S^-2 * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * S^-2 * R^-1 * S * R^3 * S^-1 * R * S^-1 * R^-2 ] R217.63 : Type {6,9}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R217.64 : Type {6,9}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^2 * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S^3 * R^-1 ] R217.65 : Type {6,9}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1 * R)^6 ] R217.66 : Type {6,9}_36 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R ] R217.67 : Type {6,9}_36 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^4 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ] R217.68 : Type {6,9}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R^-2 * S * R^3 * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R^3 * S * R^-1 * S * R^2 ] R217.69 : Type {6,9}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S^-1 * R^2 * S^-1 * R * S^2 * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S * R^-2 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 ] R217.70 : Type {6,12}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3, S^12 ] R217.71 : Type {6,12}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^12 ] R217.72 : Type {6,12}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1)^3, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R217.73 : Type {6,12}_6 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, (R * S^-2)^4, (R * S^-5)^2, S^12, R * S^-4 * R^-2 * S * R^-2 * S * R^-1 * S ] R217.74 : Type {6,12}_6 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, (R * S^-2)^4, S^12 ] R217.75 : Type {6,12}_8 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R217.76 : Type {6,12}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ] R217.77 : Type {6,12}_12 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-1 * R * S^2 ] R217.78 : Type {6,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1, S^12 ] R217.79 : Type {6,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, R * S^-2 * R^-2 * S * R^3 * S * R^-2 * S^-2, S^12, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2 ] R217.80 : Type {6,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 ] R217.81 : Type {6,12}_24 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, (S^2 * R^-1 * S^2)^3, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R217.82 : Type {6,12}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-5)^2, S * R * S^-2 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R217.83 : Type {6,12}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^12 ] R217.84 : Type {6,12}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ] R217.85 : Type {6,12}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-4 * R^3 * S^-2, S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 ] R217.86 : Type {6,21}_84 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2, S^-21 ] R217.87 : Type {6,27}_54 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^-27 ] R217.88 : Type {6,27}_54 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1)^6, R^-2 * S * R^-2 * S^2 * R * S^-1 * R * S^5 ] R217.89 : Type {6,27}_54 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1)^6, S^-2 * R^-1 * S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R217.90 : Type {6,27}_54 Order 2916 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1, S^-27 ] R217.91 : Type {6,30}_8 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R217.92 : Type {6,30}_10 Order 2880 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-4 * R * S^-1 * R^2 * S^3 * R^-1 * S^-2, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S ] R217.93 : Type {6,30}_20 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S^-2 * R * S^-1)^3, S^7 * R^3 * S^8 ] R217.94 : Type {6,30}_24 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S ] R217.95 : Type {6,30}_30 Order 2880 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R * S^-4 * R^-2 * S^-2 * R * S * R^-2 * S^-1 ] R217.96 : Type {6,30}_30 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-4 * R^2 * S * R^-1 * S^-1 * R * S^2, S^-2 * R^-1 * S^6 * R^-2 * S^3 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R217.97 : Type {6,30}_40 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2, S^7 * R^3 * S^8 ] R217.98 : Type {6,30}_120 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^30 ] R217.99 : Type {6,30}_120 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-2 * R^-1 * S^2 * R^-2 * S * R^2 * S * R^-1 * S^-4 ] R217.100 : Type {6,57}_228 Order 2736 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-57 ] R217.101 : Type {6,75}_150 Order 2700 mV = 25 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-75 ] R217.102 : Type {6,84}_56 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^14 * R^2 * S * R^-1 * S^-4 * R * S^9 ] R217.103 : Type {6,165}_220 Order 2640 mV = 55 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-29 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-23 ] R217.104 : Type {6,219}_438 Order 2628 mV = 73 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-219 ] R217.105 : Type {6,651}_434 Order 2604 mV = 651 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-109 * R^2 * S^-108 ] R217.106 : Type {8,24}_6 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R217.107 : Type {8,24}_12 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R217.108 : Type {9,72}_16 Order 2304 mV = 12 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R217.109 : Type {10,10}_4 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, 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 ] R217.110 : Type {10,10}_8 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R217.111 : Type {10,10}_10 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-4 * R)^2 ] R217.112 : Type {10,10}_10 Order 2880 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-1 * R^3)^2, (R * S^-4)^2 ] R217.113 : Type {10,10}_20 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2, S^-4 * R^-3 * S^-4 * R^2 ] R217.114 : Type {12,12}_4 Order 2592 mV = 1 mF = 1 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^12, (R * S^-1)^6 ] R217.115 : Type {12,12}_4 Order 2592 mV = 1 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^12, (R * S^-1 * R^4)^2, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R ] R217.116 : Type {12,12}_4 Order 2592 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, R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S ] R217.117 : Type {12,12}_4 Order 2592 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, R * S^-2 * R^2 * S^-1 * R^-3 * S^2 * R^-1 * S * R^-2 * S^-3 ] R217.118 : Type {12,12}_12 Order 2592 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, (S^-1 * R^2 * S^-1)^3, S^12, S * R * S^-2 * R^4 * S^3 * R^-3 ] R217.119 : Type {12,12}_12 Order 2592 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^12, (R * S^-1 * R^4)^2 ] R217.120 : Type {12,12}_12 Order 2592 mV = 1 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, R^12, (R * S^-1 * R^4)^2, R^2 * S^-2 * R^3 * S^-3 * R * S^-1, S^12 ] R217.121 : Type {12,12}_12 Order 2592 mV = 1 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^3 * R^3 * S^3 * R^-1, R^12, (R * S^-1)^6, S^12 ] R217.122 : Type {12,12}_12 Order 2592 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, R^12, (R * S^-1 * R^4)^2, S^12 ] R217.123 : Type {12,12}_12 Order 2592 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^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R217.124 : Type {12,12}_12 Order 2592 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, S^-2 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-2 ] R217.125 : Type {12,12}_12 Order 2592 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 * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^12 ] R217.126 : Type {12,12}_12 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-3 * R^2, (R * S^-1)^6 ] R217.127 : Type {12,12}_12 Order 2592 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S^12 ] R217.128 : Type {12,12}_12 Order 2592 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] R217.129 : Type {12,12}_12 Order 2592 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (R * S^-1)^6, S * R * S^-2 * R^4 * S * R^-1 * S * R^-2 * S ] R217.130 : Type {12,12}_12 Order 2592 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-3 ] R217.131 : Type {12,12}_12 Order 2592 mV = 3 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, R^12, (R * S^-1 * R^4)^2, S^12 ] R217.132 : Type {12,12}_12 Order 2592 mV = 3 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^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4 ] R217.133 : Type {12,12}_12 Order 2592 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 * R^-3, S * R * S^-3 * R * S^4, R^12, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (R * S^-1)^6 ] R217.134 : Type {12,12}_12 Order 2592 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^-3)^2, R^12, (R * S^-1)^6, S^12 ] R217.135 : Type {12,12}_12 Order 2592 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, S * R * S^-3 * R * S^4, R^12, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (R * S^-1)^6 ] R217.136 : Type {12,12}_36 Order 2592 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^-3 * R^-1 * S^2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R ] R217.137 : Type {12,12}_36 Order 2592 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^12 ] R217.138 : Type {12,24}_6 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^2 * R^5 * S^3 * R^-1 * S, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3 ] R217.139 : Type {12,24}_6 Order 2304 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^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12, (R * S^-2 * R * S^-1 * R)^2 ] R217.140 : Type {12,24}_6 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-5 * R^2 * S^2 * R^-1 * S^-1 * R ] R217.141 : Type {12,24}_6 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, (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 * R * S^-2 * R^4 * S^5 * R^-1 ] R217.142 : Type {12,24}_6 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-3 * R^3 * S^2 * R^-1 * S^-1 * R, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1, S^2 * R^2 * S^-1 * R^2 * S^5 ] R217.143 : Type {12,24}_6 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, 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^-2 * R^3 * S^3 * R^-2, S^-4 * R^4 * S * R^-2 * S^-3 ] R217.144 : Type {12,24}_6 Order 2304 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)^2, 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 * S^-1)^8 ] R217.145 : Type {12,24}_6 Order 2304 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R * S^-2 * R^4 * S^-2 * R * S^2, (R * S^-1)^8 ] R217.146 : Type {12,24}_6 Order 2304 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, R^12, S^-7 * R^-1 * S^7 * R^-1 * S^-2 ] R217.147 : Type {12,24}_6 Order 2304 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, R^12, R * S^-2 * R^4 * S^-2 * R * S^-2, S^7 * R * S^-7 * R * S^2 ] R217.148 : Type {12,24}_6 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-2 * R^5 * S * R^-1 * S * R^-1 * S^-2 ] R217.149 : Type {12,24}_6 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (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, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-1 * S * R^-1 * S * R^4 * S^3 * R^-2 * S ] R217.150 : Type {12,24}_6 Order 2304 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^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-2 * S^2 * R^4 * S^2 * R^-2 * S^2 ] R217.151 : Type {12,24}_6 Order 2304 mV = 6 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, R^12, (R * S^-1 * R^4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-2 * S^2 * R^4 * S^2 * R^-2 * S^2 ] R217.152 : Type {12,24}_12 Order 2304 mV = 1 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R217.153 : Type {12,24}_12 Order 2304 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^3 * S * R^-1 * S^-1 * R, R^12, R^3 * S^-1 * R^3 * S^5 ] R217.154 : Type {12,24}_12 Order 2304 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^2 * R^2 * S^2 * R^-1 * S^-1, R^12, S^2 * R^5 * S^3 * R^-1 * S ] R217.155 : Type {12,24}_12 Order 2304 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^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^-3 * R, S^-1 * R^-1 * S^4 * R^-3 * S^6 * R^-1 * S^-1 * R ] R217.156 : Type {12,24}_12 Order 2304 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 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^4 * R^2 * S^-1 * R^2 * S^7 ] R217.157 : Type {12,24}_12 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R * S^-1 * R^4 * S^2 * R^-3, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R217.158 : Type {12,24}_12 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (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, R * S^-2 * R^5 * S * R^-1 * S * R^-1 * S^-2, S * R * S^-2 * R^4 * S^5 * R^-1 ] R217.159 : Type {12,24}_12 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-5 * R^2 * S^2 * R^-1 * S^-1 * R ] R217.160 : Type {12,24}_12 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-3 * R^3 * S^2 * R^-1 * S^-1 * R, S^2 * R^2 * S^-1 * R^2 * S^5 ] R217.161 : Type {12,24}_12 Order 2304 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^3 * R^-2, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1, S^-4 * R^4 * S * R^-2 * S^-3 ] R217.162 : Type {12,24}_12 Order 2304 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^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^12, (R * S^-1)^8 ] R217.163 : Type {12,24}_12 Order 2304 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)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, (R * S^-1)^8 ] R217.164 : Type {12,24}_12 Order 2304 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^4 * R * S^-2 * R^-2 * S^-2 * R * S^4 ] R217.165 : Type {12,24}_12 Order 2304 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^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^-7 * R^-1 * S^7 * R^-1 * S^-2 ] R217.166 : Type {12,24}_12 Order 2304 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, R^12, S^7 * R * S^-7 * R * S^2 ] R217.167 : Type {12,24}_12 Order 2304 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, R^12, R^3 * S^-1 * R^3 * S^-5, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R217.168 : Type {12,24}_12 Order 2304 mV = 4 mF = 1 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^12, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-5 * R * S^6 ] R217.169 : Type {12,24}_12 Order 2304 mV = 4 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^4, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R217.170 : Type {12,24}_12 Order 2304 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S^2 * R * S^-3 * R^4 * S^-7 ] R217.171 : Type {12,24}_12 Order 2304 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^12, (R * S^-2 * R * S^-1 * R)^2, S^4 * R * S^-2 * R^2 * S^-2 * R * S^4 ] R217.172 : Type {12,24}_12 Order 2304 mV = 4 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^3 * R^-1, R^12, S * R * S^-5 * R * S^6 ] R217.173 : Type {12,24}_12 Order 2304 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^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S * R * S^-5 * R * S^6 ] R217.174 : Type {12,24}_12 Order 2304 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^12, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-7 ] R217.175 : Type {12,24}_12 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-2 * R ] R217.176 : Type {12,24}_12 Order 2304 mV = 6 mF = 1 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^-1 * R * S * R^-1, R^12, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R217.177 : Type {12,24}_12 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (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, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S^-2 * R * S^-1 * R^4 * S^2 * R^-2 * S^-1 * R ] R217.178 : Type {12,24}_12 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, (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, R * S^-2 * R^5 * S * R^-1 * S * R^-1 * S^-2 ] R217.179 : Type {12,24}_12 Order 2304 mV = 6 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^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2 ] R217.180 : Type {12,24}_12 Order 2304 mV = 6 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, R^12, (R * S^-1 * R^4)^2, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] R217.181 : Type {12,24}_12 Order 2304 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^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] R217.182 : Type {12,24}_12 Order 2304 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^12, (R * S^-1 * R^4)^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 ] R217.183 : Type {12,24}_24 Order 2304 mV = 1 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^4 * R * S^-1 * R^-2 * S^-5 * R * S^2 ] R217.184 : Type {12,24}_24 Order 2304 mV = 2 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^24 ] R217.185 : Type {12,24}_24 Order 2304 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^2 * R * S^-3 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S^2 ] R217.186 : Type {12,24}_24 Order 2304 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 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^-1 * R^-1 * S^4 * R^-3 * S^6 * R^-1 * S^-1 * R ] R217.187 : Type {12,24}_24 Order 2304 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, (R * S^-3 * R * S^-1)^2, S^4 * R^2 * S^-1 * R^2 * S^7 ] R217.188 : Type {12,24}_24 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^2 * S^-1 * R^2 * S^-3 * R * S^-1 ] R217.189 : Type {12,24}_24 Order 2304 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^-4 * R^-1 * S * R^-2 * S^5 * R^-1 * S^-2 ] R217.190 : Type {12,24}_24 Order 2304 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 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R217.191 : Type {12,24}_24 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-5 * R * S^6 ] R217.192 : Type {12,24}_24 Order 2304 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^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R217.193 : Type {12,24}_24 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R217.194 : Type {12,24}_24 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^-2 * R * S * R^-1, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S * R^-2 * S * R^4 * S^6 ] R217.195 : Type {12,24}_24 Order 2304 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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 ] R217.196 : Type {12,24}_24 Order 2304 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-6 * R^4 * S^-6 * R ] R217.197 : Type {12,24}_24 Order 2304 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^24 ] R217.198 : Type {12,24}_24 Order 2304 mV = 4 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^-2 * R^2 * S^3 * R^-1, R^12, S^24 ] R217.199 : Type {12,24}_24 Order 2304 mV = 4 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, R^12, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S * R * S^-5 * R * S^6 ] R217.200 : Type {12,24}_24 Order 2304 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 * R^2 * S^2 * R^-1 * S^-1, R^12, S^24 ] R217.201 : Type {12,24}_24 Order 2304 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^12, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R217.202 : Type {12,24}_24 Order 2304 mV = 6 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ] R217.203 : Type {12,24}_24 Order 2304 mV = 6 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 ] R217.204 : Type {12,24}_24 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R ] R217.205 : Type {12,24}_24 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, R * S^-3 * R^-1 * S^2 * R^3 * S^-1 * R * S^6 ] R217.206 : Type {12,24}_24 Order 2304 mV = 6 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 ] R217.207 : Type {12,24}_24 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R * S^-1 * R^4 * S * R^-1 * S^-1 * R * S^2 ] R217.208 : Type {12,24}_24 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, 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^3 * S * R^-1 * S^2 * R^-1 ] R217.209 : Type {12,24}_24 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (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, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R217.210 : Type {12,24}_24 Order 2304 mV = 6 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^24 ] R217.211 : Type {12,24}_24 Order 2304 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^24 ] R217.212 : Type {12,24}_24 Order 2304 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^6 * R^6 * S^6 ] R217.213 : Type {12,24}_24 Order 2304 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-3 * R^2 * S^-2 * R^3 * S * R^-1 * S^-6 ] R217.214 : Type {12,24}_24 Order 2304 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)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, S^24 ] R217.215 : Type {12,24}_24 Order 2304 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)^2, (R * S^-3)^2, R^12, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R217.216 : Type {12,24}_24 Order 2304 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^24 ] R217.217 : Type {12,24}_24 Order 2304 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, 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^-1 * S^2 * R^-1 * S^-6 ] R217.218 : Type {12,24}_48 Order 2304 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^-1 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R217.219 : Type {12,24}_48 Order 2304 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^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 ] R217.220 : Type {12,60}_30 Order 2160 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^2 * R^3 * S^-1 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R217.221 : Type {12,60}_30 Order 2160 mV = 10 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^15 * R^-3 * S^-8 * R^-3 * S^7 ] R217.222 : Type {12,60}_30 Order 2160 mV = 10 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^15 * R^4 * S^3 * R^-1 * S^-1 * R * S^11 ] R217.223 : Type {12,60}_30 Order 2160 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^12, S^-2 * R^5 * S^-3 * R * S^-1, (R * S^-1)^6, R^-1 * S * R * S^-2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-3 ] R217.224 : Type {12,60}_30 Order 2160 mV = 15 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^3 * R^3 * S^3 * R^-1, R^12, (R * S^-1)^6, S^-2 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] R217.225 : Type {12,60}_30 Order 2160 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^15 * R * S^-2 * R * S^13 ] R217.226 : Type {12,132}_44 Order 2112 mV = 33 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^22 * R * S^-3 * R * S^19 ] R217.227 : Type {12,132}_44 Order 2112 mV = 44 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^11 * R^-1 * S^-4 * R * S * R^-1 * S^-1 * R * S^5 ] R217.228 : Type {12,132}_88 Order 2112 mV = 44 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^11 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^5 ] R217.229 : Type {15,30}_6 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-3 * R^2)^2, 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)^2 ] R217.230 : Type {15,30}_12 Order 2160 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^-15, S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S ] R217.231 : Type {16,16}_12 Order 2304 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^16, R^-2 * S^2 * R^2 * S^-2 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] R217.232 : Type {16,16}_12 Order 2304 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, S * R^2 * S^-2 * R^2 * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-2 * S^-2 * R^-1 * S * R^-1 ] R217.233 : Type {16,16}_24 Order 2304 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 * 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 * R^-1 * S^-1 * R * S^-1 ] R217.234 : Type {16,16}_24 Order 2304 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^16, R^-2 * S^2 * R^2 * S^-2 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R217.235 : Type {16,16}_24 Order 2304 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, (R * S^-1)^6, R * S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-5 * R ] R217.236 : Type {16,16}_24 Order 2304 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, R * S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-5 * R, S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R ] R217.237 : Type {16,16}_24 Order 2304 mV = 4 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^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S, R^16 ] R217.238 : Type {16,16}_24 Order 2304 mV = 4 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^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R217.239 : Type {16,64}_64 Order 2048 mV = 8 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 * R^-2 * S^2 * R^-1 * S^-5 * R * S^9 ] R217.240 : Type {16,64}_64 Order 2048 mV = 8 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 * R^2 * S * R^-2 * S^15 ] R217.241 : Type {16,64}_64 Order 2048 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^64 ] R217.242 : Type {16,64}_64 Order 2048 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^16, S^64 ] R217.243 : Type {16,64}_64 Order 2048 mV = 16 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 * R^2 * S^2 * R^-1 * S^-3 * R * S^11 ] R217.244 : Type {16,64}_64 Order 2048 mV = 16 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^16, S^16 * R^4 * S * R^-1 * S^-5 * R^2 * S^-1 * R^-1 * S^9 ] R217.245 : Type {16,64}_64 Order 2048 mV = 16 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 * R * S^-3 * R * S^13 ] R217.246 : Type {16,64}_64 Order 2048 mV = 16 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 * R * S^-3 * R * S^13 ] R217.247 : Type {16,64}_64 Order 2048 mV = 16 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^16, S^16 * R^3 * S^-2 * R * S^5 * R^-4 * S^9 ] R217.248 : Type {16,64}_64 Order 2048 mV = 16 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-6 * R^-1 * S^2 * R^-2 * S^7 * R * S^-1 ] R217.249 : Type {16,64}_64 Order 2048 mV = 16 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S^5 * R * S^-4 * R * S^5 * R^-1 * S^-1 ] R217.250 : Type {16,64}_64 Order 2048 mV = 16 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, S^-4 * R^-1 * S * R * S^-1 * R^-1 * S^4 * R^-1 * S^-6 ] R217.251 : Type {16,64}_64 Order 2048 mV = 16 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, S^-6 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R217.252 : Type {16,64}_64 Order 2048 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^64 ] R217.253 : Type {16,64}_64 Order 2048 mV = 32 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^16, S^16 * R * S^-1 * R * S^15 ] R217.254 : Type {16,64}_64 Order 2048 mV = 32 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^64 ] R217.255 : Type {16,496}_62 Order 1984 mV = 496 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^16, S^31 * R * S^-6 * R * S^25 ] R217.256 : Type {16,496}_124 Order 1984 mV = 496 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^16, S^31 * R * S^-2 * R * S^29 ] R217.257 : Type {21,42}_6 Order 2016 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-2 * R^-4 * S^-2 * R^3, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R217.258 : Type {24,120}_20 Order 1920 mV = 30 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^-1 * R^10 * S^-1 * R^2 * S^-3 * R * S^-5 * R, S^-2 * R^-1 * S^8 * R^-3 * S^-10 ] R217.259 : Type {24,120}_20 Order 1920 mV = 40 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 * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-4 * R^-1 * S * R^2 * S^4 * R^-1 * S^-1, S^3 * R^-5 * S * R^-10 * S^3 * R^-1 * S ] R217.260 : Type {24,120}_20 Order 1920 mV = 40 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 * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-1 * R^-3 * S^2 * R^-2 * S^6 ] R217.261 : Type {24,120}_40 Order 1920 mV = 30 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^-1 * R^10 * S^-1 * R^2 * S^-3 * R * S^-5 * R, S^10 * R^-2 * S^2 * R^-1 * S^-5 * R * S^3 ] R217.262 : Type {24,120}_40 Order 1920 mV = 30 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^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R217.263 : Type {24,120}_40 Order 1920 mV = 30 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^19 * S^-1 * R * S^-1 * R^2, S^20 * R^-1 * S^-8 * R * S^12 ] R217.264 : Type {24,120}_40 Order 1920 mV = 40 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-1 * R^-1 * S * R^-3 * S^-5 * R * S^2 ] R217.265 : Type {24,120}_40 Order 1920 mV = 40 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-4 * R^-1 * S * R^2 * S^4 * R^-1 * S^-1 ] R217.266 : Type {24,120}_40 Order 1920 mV = 60 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^-1 * R^10 * S^-1 * R^2 * S^-3 * R * S^-5 * R, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R217.267 : Type {24,120}_40 Order 1920 mV = 60 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^20 * R * S^-1 * R * S^19 ] R217.268 : Type {28,28}_12 Order 2016 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R * S^-4 * R^12 * S^-2 * R * S^-3 * R * S^-1 * R^3 ] R217.269 : Type {30,60}_4 Order 1920 mV = 12 mF = 6 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^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R^-7 * S * R^-1 * S * R^-2 * S * R^-1 ] R217.270 : Type {30,60}_8 Order 1920 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^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^4 * S^-1 * R^4 * S^-3 * R^9 * S^-1 * R^7 * S^-1 ] R217.271 : Type {30,60}_8 Order 1920 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 * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, R^-9 * S^6 ] R217.272 : Type {30,60}_8 Order 1920 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-8 * S^2 * R^-3 * S^2 ] R217.273 : Type {30,465}_62 Order 1860 mV = 465 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^2, S^-16 * R * S^8 * R^-1 * S^-7 ] R217.274 : Type {36,36}_6 Order 1944 mV = 9 mF = 9 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^2 * R^-11 * S^2 * R^-1 * S * R^-1 ] R217.275 : Type {39,78}_12 Order 1872 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^-2 * R^9 * S^-3 * R^3 * S^-1 * R^9 * S^-5 * R * S^-5 * R ] R217.276 : Type {40,40}_6 Order 1920 mV = 8 mF = 8 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 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R217.277 : Type {40,40}_6 Order 1920 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R^4 * S * R^-1 * S * R^-1 * S^-1, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2 ] R217.278 : Type {40,40}_12 Order 1920 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S^-3 * R^4 * S * R^-1 * S * R^-1 * S^-1 ] R217.279 : Type {40,40}_12 Order 1920 mV = 8 mF = 8 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^4 * S * R^-1 * S^-3 ] R217.280 : Type {51,102}_6 Order 1836 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^20 * S^-6 * R^3 * S^-1 * R^9 * S^-5 * R * S^-6 ] R217.281 : Type {52,52}_6 Order 1872 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^2 * S^-1 * R^17 * S^-2 * R * S^-8 * R^10 * S^-2 * R * S^-3 * R^2 * S^-1 * R * S^-1 ] R217.282 : Type {64,448}_14 Order 1792 mV = 448 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^6 * R * S^-6 * R * S^2, S^14 * R^-8 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R217.283 : Type {64,448}_28 Order 1792 mV = 448 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^-7 * R^18 * S^-7 ] R217.284 : Type {100,100}_6 Order 1800 mV = 25 mF = 25 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^-1 * R * S^-1 * R^15 * S^-2 * R * S^-8 * R^10 * S^-2 * R * S^-3 * R^2 * S^-1 * R * S^-1 ] R217.285 : Type {111,222}_4 Order 1776 mV = 74 mF = 37 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^93 * S^-2 * R^10 * S^-2 * R^4 ] R217.286 : Type {112,112}_4 Order 1792 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, R^2 * S^-1 * R^80 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R217.287 : Type {112,112}_4 Order 1792 mV = 28 mF = 28 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^28 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-3 ] R217.288 : Type {112,112}_8 Order 1792 mV = 28 mF = 28 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^-3 * R^17 * S^-4 * R * S^-2 * T * S * R^-2 * S * R^-4 * S^3 * R^-1 * T * R * S^-1 * R * S^-3 * R^2 * S^-1 * R^5 * S^-1 * R^2 ] R217.289 : Type {112,112}_8 Order 1792 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R^-22 * S * R^-5 * S * R^-1 * S^3 * R^-1 * S^2 * R^-8 * S * R^-1 * S^3 * R^-1 * S^4 ] R217.290 : Type {112,112}_8 Order 1792 mV = 28 mF = 56 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^17 * S^-1 * R * S^-5 * R * S^-2 * T * S * R^-2 * S * R^-4 * S^3 * R^-1 * T * R * S^-1 * R * S^-3 * R^2 * S^-1 * R^5 * S^-1 * R * S^-1 ] R217.291 : Type {112,112}_8 Order 1792 mV = 56 mF = 28 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^55 * R^-1 * S^13 * R^-6 * S * R^-14 * S * R^-1 * S * R^-3 * S^13 * R^-2 ] R217.292 : Type {112,112}_8 Order 1792 mV = 56 mF = 56 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^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, R * S^-3 * R * S^-3 * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R217.293 : Type {112,112}_8 Order 1792 mV = 56 mF = 56 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^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, R^-3 * S * R^-3 * S * R^-8 * S * R^-2 * S^3 * R^-1 * S^4 * R^-1 ] R217.294 : Type {147,294}_6 Order 1764 mV = 147 mF = 49 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^91 * S^-14 * R^2 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-14 ] R217.295 : Type {220,220}_4 Order 1760 mV = 110 mF = 110 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^163 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S ] R217.296 : Type {435,870}_2 Order 1740 mV = 870 mF = 435 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^413 * S^-1 * R * S^-1 * R * T * R^-18 * T ] R217.297 : Type {436,436}_2 Order 1744 mV = 436 mF = 436 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^221 * T * R^-1 * S * R^-1 * T * S^-211 * R ] R217.298 : Type {868,868}_2 Order 1736 mV = 868 mF = 868 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^209 * S^-1 * R * T * R^-18 * T * S^-204 * R ] Genus 218 R218.1 : Type {4,438}_876 Order 3504 mV = 219 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^438 ] R218.2 : Type {4,872}_872 Order 3488 mV = 872 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^218 * R^2 * S^218 ] R218.3 : Type {6,220}_660 Order 2640 mV = 110 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^220 ] R218.4 : Type {6,654}_218 Order 2616 mV = 654 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^109 * R^2 * S^109 ] R218.5 : Type {8,75}_300 Order 2400 mV = 25 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-75 ] R218.6 : Type {8,292}_584 Order 2336 mV = 146 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^73 * R^4 * S^3 * T * S^-2 * T * S^68 ] R218.7 : Type {10,545}_218 Order 2180 mV = 545 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-55 * R * S^2 * R^-1 * S^-52 ] R218.8 : Type {12,176}_528 Order 2112 mV = 88 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^44 * R^5 * S^-2 * R * S^42 ] R218.9 : Type {32,60}_480 Order 1920 mV = 30 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^15 * R^4 * S^5 * T * R^5 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R218.10 : Type {42,154}_66 Order 1848 mV = 77 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^9 * S^-1 * R^3 * S^-1, S^11 * R * S^-3 * R * S^8 ] R218.11 : Type {57,152}_12 Order 1824 mV = 38 mF = 19 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, R^-4 * S * R^-1 * S * R^-6 * S * R^-1 * S * R^-1 * S^2 ] R218.12 : Type {148,222}_12 Order 1776 mV = 111 mF = 74 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^5 * R^-1 * S^-1, S^5 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R218.13 : Type {220,440}_8 Order 1760 mV = 440 mF = 110 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^52 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R218.14 : Type {437,874}_2 Order 1748 mV = 874 mF = 437 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^213 * R^-1 * S * R^-18 * S * R^-201 * S ] R218.15 : Type {438,438}_2 Order 1752 mV = 438 mF = 438 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^204 * S^-1 * R^18 * T * R^-1 * S * R^-1 * T * S^-212 ] R218.16 : Type {872,872}_2 Order 1744 mV = 872 mF = 872 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^221 * T * R^-1 * S * R^-1 * T * S^-212 ] Genus 219 R219.1 : Type {4,222}_222 Order 3552 mV = 74 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^222 ] R219.2 : Type {4,440}_440 Order 3520 mV = 220 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^110 * R * S^-1 * R * S^109 ] R219.3 : Type {4,440}_440 Order 3520 mV = 220 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^440 ] R219.4 : Type {4,876}_438 Order 3504 mV = 876 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^219 * R^2 * S^219 ] R219.5 : Type {8,39}_78 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-39 ] R219.6 : Type {8,148}_296 Order 2368 mV = 37 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^148 ] R219.7 : Type {8,148}_296 Order 2368 mV = 74 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^148 ] R219.8 : Type {8,584}_146 Order 2336 mV = 584 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^73 * R^2 * S^73 ] R219.9 : Type {8,584}_292 Order 2336 mV = 584 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^73 * R * S^-2 * R * S^71 ] R219.10 : Type {12,264}_88 Order 2112 mV = 132 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^22 * R^2 * S^3 * R^-1 * S^-3 * R * S^16 ] R219.11 : Type {12,264}_88 Order 2112 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^44 * R * S^-1 * R * S^43 ] R219.12 : Type {14,511}_146 Order 2044 mV = 511 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^-37 * R * S^5 * R^-1 * S^-31 ] R219.13 : Type {24,240}_80 Order 1920 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, R^19 * S^-1 * R * S^-1 * R^2, S^20 * R * S^-1 * R * S^19 ] R219.14 : Type {24,240}_80 Order 1920 mV = 120 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^20 * R^4 * S^20 ] R219.15 : Type {40,48}_240 Order 1920 mV = 24 mF = 20 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^15 * S * R^-1 * S * R^4, S^12 * R * S^-1 * R * S^11 ] R219.16 : Type {40,48}_240 Order 1920 mV = 24 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-4 * R^-1 * S * R * S^-7 * R^-9 * S^4 * T * S^-1 * R^-5 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R219.17 : Type {57,228}_8 Order 1824 mV = 76 mF = 19 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^37 * S^-2 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-2 ] R219.18 : Type {76,114}_6 Order 1824 mV = 38 mF = 19 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^3 * R^-2 * S^2 * R^-5 * S * R^-2 * S * R^-12 * S * R^-6 * S^2 ] R219.19 : Type {148,444}_6 Order 1776 mV = 444 mF = 74 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^90 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R219.20 : Type {222,222}_4 Order 1776 mV = 74 mF = 74 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^149 * R^-1 * S * R^-14 * S^2 * R^-52 * S ] R219.21 : Type {439,878}_2 Order 1756 mV = 878 mF = 439 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^213 * R^-1 * S * R^-223 ] R219.22 : Type {440,440}_2 Order 1760 mV = 440 mF = 440 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^224 * S^-1 * R * S^-213 * R ] R219.23 : Type {440,440}_4 Order 1760 mV = 440 mF = 440 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^162 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R219.24 : Type {876,876}_2 Order 1752 mV = 876 mF = 876 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^204 * S^-1 * R^18 * T * R^-1 * S * R^-1 * T * S^-211 * R ] Genus 220 R220.1 : Type {4,150}_100 Order 3600 mV = 25 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^25 * R^2 * S^3 * R^-1 * S^-1 * R * S^21 ] R220.2 : Type {4,442}_884 Order 3536 mV = 221 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^442 ] R220.3 : Type {4,880}_880 Order 3520 mV = 880 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^220 * R^2 * S^220 ] R220.4 : Type {6,76}_76 Order 2736 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^76 ] R220.5 : Type {6,222}_222 Order 2664 mV = 74 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^222 ] R220.6 : Type {6,222}_222 Order 2664 mV = 111 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^37 * R * S^-3 * R * S^34 ] R220.7 : Type {6,222}_222 Order 2664 mV = 111 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^222 ] R220.8 : Type {6,660}_220 Order 2640 mV = 660 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^110 * R * S^-1 * R * S^109 ] R220.9 : Type {10,112}_560 Order 2240 mV = 56 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^112 ] R220.10 : Type {12,90}_180 Order 2160 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^90 ] R220.11 : Type {12,90}_180 Order 2160 mV = 45 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^90 ] R220.12 : Type {12,528}_176 Order 2112 mV = 528 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^44 * R * S^-4 * R * S^40 ] R220.13 : Type {18,495}_110 Order 1980 mV = 495 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^-1 * S * R^-15 * S, S^-28 * R * S^5 * R^-1 * S^-22 ] R220.14 : Type {22,46}_506 Order 2024 mV = 23 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^46 ] R220.15 : Type {24,42}_84 Order 2016 mV = 14 mF = 6 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^-11 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R * S^-4 ] R220.16 : Type {24,42}_168 Order 2016 mV = 7 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^42 ] R220.17 : Type {24,42}_168 Order 2016 mV = 21 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, (R * S^-1 * R^4)^2, S^-7 * R * S^4 * R^-1 * S^-3, R^24 ] R220.18 : Type {24,42}_168 Order 2016 mV = 21 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^42 ] R220.19 : Type {28,238}_68 Order 1904 mV = 119 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^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^17 * R^-1 * S^-10 * R * S^7 ] R220.20 : Type {30,96}_160 Order 1920 mV = 48 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^16 * R * S^-3 * R * S^13 ] R220.21 : Type {36,234}_52 Order 1872 mV = 117 mF = 18 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^-3 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-4 * S, S^13 * R * S^-3 * R * S^10 ] R220.22 : Type {39,156}_6 Order 1872 mV = 39 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^11 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R^2 * S^-1 ] R220.23 : Type {42,462}_22 Order 1848 mV = 462 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^-2 * R^-1 * S^10 * R^-1 * S^-10, R^8 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^8 ] R220.24 : Type {46,460}_20 Order 1840 mV = 460 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^-2 * R^-1 * S^9 * R^-1 * S^-9, (R^10 * S^-1 * R * S^-1 * R^10)^2 ] R220.25 : Type {52,78}_4 Order 1872 mV = 13 mF = 13 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S^-3 * R * S^-1 * R^3 * S^-1 * R * S^-1 * R^11 * S^-4 ] R220.26 : Type {82,451}_22 Order 1804 mV = 451 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^6 * R^-2 * S * R^-20 * S * R^-1 * S * R^-5 * S^4 ] R220.27 : Type {150,150}_6 Order 1800 mV = 75 mF = 50 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^91 * R^-1 * S^13 * R^-6 * S * R^-14 * S * R^-2 * S * R^-2 * S^15 * R^-1 ] R220.28 : Type {150,150}_6 Order 1800 mV = 75 mF = 75 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^-3 * R^18 * S^-4 * R^3 * S^-1 * R^11 * S^-6 * R^2 ] R220.29 : Type {178,445}_10 Order 1780 mV = 445 mF = 89 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^35 * R^-12 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R220.30 : Type {222,444}_4 Order 1776 mV = 444 mF = 111 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^164 * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R220.31 : Type {441,882}_2 Order 1764 mV = 882 mF = 441 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^214 * R^-1 * S * R^-223 * S ] R220.32 : Type {442,442}_2 Order 1768 mV = 442 mF = 442 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^225 * S^-1 * R * S^-215 ] R220.33 : Type {880,880}_2 Order 1760 mV = 880 mF = 880 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^224 * S^-1 * R * S^-214 ] Genus 221 R221.1 : Type {3,17}_30 Order 8160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-17, S * R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S ] R221.2 : Type {3,17}_34 Order 8160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-17, (S * R^-1 * S^6 * R^-1 * S)^2, S^2 * R^-1 * S^4 * R * S^-2 * R^2 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S ] R221.3 : Type {4,6}_20 Order 10560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R * S^-1 * R * S^3 * R^2 * S^3 * R^-1 * S, (R * S^-2 * R * S^-1 * R * S^-1 * R * S^-1)^2 ] R221.4 : Type {4,12}_10 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-4 * R * S^-1)^2, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S ] R221.5 : Type {4,12}_10 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] R221.6 : Type {4,12}_10 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 ] R221.7 : Type {4,12}_10 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, 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 ] R221.8 : Type {4,12}_10 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-3 ] R221.9 : Type {4,12}_10 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] R221.10 : Type {4,44}_4 Order 3872 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, (R * S^-1)^22 ] R221.11 : Type {4,48}_80 Order 3840 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^-8 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R221.12 : Type {4,48}_80 Order 3840 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S^-2 * R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S^-3 ] R221.13 : Type {4,114}_228 Order 3648 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^114 ] R221.14 : Type {4,224}_224 Order 3584 mV = 56 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^224 ] R221.15 : Type {4,224}_224 Order 3584 mV = 56 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^56 * R^2 * S * R^-1 * S^-1 * R * S^54 ] R221.16 : Type {4,444}_444 Order 3552 mV = 222 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^444 ] R221.17 : Type {4,884}_442 Order 3536 mV = 884 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^221 * R^2 * S^221 ] R221.18 : Type {5,40}_10 Order 3200 mV = 10 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R^-2 * S * R^-1 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S ] R221.19 : Type {5,40}_20 Order 3200 mV = 10 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (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 ] R221.20 : Type {6,6}_10 Order 5280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S^3 * R * S^-1 * R * S^-1 ] R221.21 : Type {6,168}_28 Order 2688 mV = 56 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^14 * R^2 * S^4 * R^-1 * S^-1 * R * S^9 ] R221.22 : Type {6,168}_56 Order 2688 mV = 56 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^28 * R * S^-1 * R^2 * S^-1 * R * S^26 ] R221.23 : Type {6,663}_442 Order 2652 mV = 663 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-111 * R * S * R^-1 * S^-109 ] R221.24 : Type {8,21}_84 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^-21 ] R221.25 : Type {8,76}_76 Order 2432 mV = 19 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^76 ] R221.26 : Type {8,76}_152 Order 2432 mV = 19 mF = 2 Defining relations for automorphism group: [ R^8, 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^76 ] R221.27 : Type {8,296}_148 Order 2368 mV = 148 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^74 * R * S^-1 * R * S^73 ] R221.28 : Type {8,296}_148 Order 2368 mV = 148 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^74 * R^4 * S^3 * T * S^-2 * T * S^69 ] R221.29 : Type {10,30}_4 Order 2400 mV = 5 mF = 2 Defining relations for automorphism group: [ R^10, 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 * R^3)^2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R221.30 : Type {10,30}_8 Order 2400 mV = 5 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R221.31 : Type {10,30}_10 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R * S^-4 * R^-1 * S * R^4 * S * R^-1 * S^-4 * R ] R221.32 : Type {10,30}_10 Order 2400 mV = 10 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, (R * S^-1 * R^3)^2, S^-1 * R^2 * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R221.33 : Type {10,30}_20 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^2 * R * S^-1 * R^-1 * S * R^2 * S^6 ] R221.34 : Type {12,12}_6 Order 2640 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^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, R^12, S^12 ] R221.35 : Type {12,12}_10 Order 2640 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^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, R^12, S^12, R^-2 * S * R^5 * S * R^-2 * S^3 ] R221.36 : Type {12,20}_12 Order 2400 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^3 * R^2 * S^-1 * R^2 * S^6 ] R221.37 : Type {12,20}_12 Order 2400 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^-1 * R * 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 ] R221.38 : Type {12,20}_12 Order 2400 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, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, R * S^-1 * R * S^-3 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 ] R221.39 : Type {16,18}_72 Order 2304 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 * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2, R^-1 * S^3 * R^-6 * S^6 * R^-1 ] R221.40 : Type {16,18}_144 Order 2304 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)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^18 ] R221.41 : Type {16,18}_144 Order 2304 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)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^16, S^18 ] R221.42 : Type {16,128}_128 Order 2048 mV = 32 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^32 * R * S^-3 * R * S^29 ] R221.43 : Type {16,128}_128 Order 2048 mV = 32 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^16, S^32 * R * S^-3 * R * S^29 ] R221.44 : Type {16,128}_128 Order 2048 mV = 64 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^32 * R * S^-1 * R * S^31 ] R221.45 : Type {16,128}_128 Order 2048 mV = 64 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^32 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S^25 ] R221.46 : Type {18,126}_28 Order 2016 mV = 42 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^18, S^-6 * R^-1 * S * R^-2 * S^4 * R^-1 * S^-3 ] R221.47 : Type {20,100}_50 Order 2000 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, R^-1 * S * R^-17 * S, S^25 * R * S^-4 * R * S^21 ] R221.48 : Type {20,100}_50 Order 2000 mV = 50 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^25 * R^-4 * S^2 * T * S^-3 * R^-3 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^16 ] R221.49 : Type {28,36}_252 Order 2016 mV = 18 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^36 ] R221.50 : Type {28,476}_34 Order 1904 mV = 476 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^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^17 * R * S^-2 * R * S^15 ] R221.51 : Type {30,120}_4 Order 1920 mV = 40 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^2 * S^-1 * R^2 * S^4, R * S^-1 * R * S^-5 * R * S^-4 * R^10 * S^-1 * R^5 * S^-1 ] R221.52 : Type {30,120}_8 Order 1920 mV = 40 mF = 5 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R * S^-1 * R * S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^10 * S^-3 * R * S^-3 * R^2 ] R221.53 : Type {36,468}_26 Order 1872 mV = 468 mF = 18 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^-3 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-4 * S, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R221.54 : Type {40,60}_6 Order 1920 mV = 10 mF = 10 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^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^2 * R^-2 * S * R^-1 * S^2 * R^-10 * S * R^-1 ] R221.55 : Type {40,60}_12 Order 1920 mV = 10 mF = 10 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^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R221.56 : Type {40,60}_12 Order 1920 mV = 10 mF = 10 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 * S^-2 * R^2 * S^3 * R^-1 ] R221.57 : Type {40,60}_12 Order 1920 mV = 15 mF = 10 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^-1 * S * R * S^-5 * R^-1 * S^4 * R^-1 * S^-2, R^-1 * S^2 * R^-3 * S * R^-8 * S^2 * R^-1 * S * R^-1 ] R221.58 : Type {40,60}_12 Order 1920 mV = 20 mF = 10 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, R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-9 * S^3 ] R221.59 : Type {40,60}_12 Order 1920 mV = 20 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, (R * S^-1 * R * S^-1 * R)^2, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R221.60 : Type {40,60}_24 Order 1920 mV = 10 mF = 10 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 * S^-1 * R * S^3 * R^-1 * S ] R221.61 : Type {40,60}_24 Order 1920 mV = 15 mF = 10 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^-1 * S * R^-1 * S^3 * R^-2 * S * R^-2 * S^8 ] R221.62 : Type {44,44}_22 Order 1936 mV = 22 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^-1 * S * R^12 * S * R^-9, S^8 * R^-6 * S * R^-14 * S * R^-6 * S^6 * R^-2 ] R221.63 : Type {44,44}_22 Order 1936 mV = 22 mF = 22 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^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * T * R^5 * S * T * S^-4 * R^9 * S^7 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R221.64 : Type {48,48}_6 Order 1920 mV = 8 mF = 8 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^2 * R^-1 * S, S * R^6 * S^5, R^9 * S^-1 * R * S^-3 * R * S^-1 ] R221.65 : Type {48,48}_6 Order 1920 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, R^2 * S^-1 * R^4 * S^-2 * R * S^2 ] R221.66 : Type {48,48}_6 Order 1920 mV = 8 mF = 8 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 * R^3 * S * R^-1 * S^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R221.67 : Type {54,459}_34 Order 1836 mV = 459 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^7 * R^-10 * S^10 ] R221.68 : Type {70,455}_26 Order 1820 mV = 455 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^7 * R^-20 * S * R^-2 * S^5 ] R221.69 : Type {76,228}_12 Order 1824 mV = 114 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R221.70 : Type {114,114}_4 Order 1824 mV = 38 mF = 38 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^96 * S^-2 * R^10 * S^-2 * R^4 ] R221.71 : Type {224,224}_4 Order 1792 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, R^-1 * S^165 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S ] R221.72 : Type {224,224}_4 Order 1792 mV = 112 mF = 112 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^80 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R221.73 : Type {224,224}_8 Order 1792 mV = 112 mF = 112 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, S^56 * R^-1 * S^13 * R^-6 * S * R^-14 * S * R^-1 * S * R^-3 * S^14 * R^-1 ] R221.74 : Type {443,886}_2 Order 1772 mV = 886 mF = 443 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^214 * T * S^-2 * R * T * R^-225 ] R221.75 : Type {444,444}_2 Order 1776 mV = 444 mF = 444 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^422 * S^-1 * R^18 * T * R^-1 * S * R^-1 * T ] R221.76 : Type {884,884}_2 Order 1768 mV = 884 mF = 884 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^225 * S^-1 * R * S^-214 * R ] Genus 222 R222.1 : Type {4,225}_450 Order 3600 mV = 75 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-225 ] R222.2 : Type {4,446}_892 Order 3568 mV = 223 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^446 ] R222.3 : Type {4,888}_888 Order 3552 mV = 888 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^222 * R^2 * S^222 ] R222.4 : Type {6,224}_672 Order 2688 mV = 112 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^224 ] R222.5 : Type {8,150}_300 Order 2400 mV = 50 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-38 * R^4 * S^-37 ] R222.6 : Type {8,150}_600 Order 2400 mV = 75 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^150 ] R222.7 : Type {10,555}_222 Order 2220 mV = 555 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-56 * R * S^3 * R^-1 * S^-52 ] R222.8 : Type {14,76}_532 Order 2128 mV = 38 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^76 ] R222.9 : Type {14,518}_74 Order 2072 mV = 518 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^37 * R * S^-1 * R * S^36 ] R222.10 : Type {26,39}_78 Order 2028 mV = 3 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-39 ] R222.11 : Type {26,481}_74 Order 1924 mV = 481 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-19 * R^2 * S^-18 ] R222.12 : Type {30,160}_96 Order 1920 mV = 80 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^16 * R * S^-5 * R * S^11 ] R222.13 : Type {52,117}_18 Order 1872 mV = 39 mF = 13 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^3 * R^-4 * S^6 ] R222.14 : Type {66,154}_42 Order 1848 mV = 77 mF = 33 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^7 * S * R^-5, S^-1 * R * S^4 * R * S^-2 * R^3 * S^5 * R^-1 * S^-2, R^-2 * S^3 * R^-1 * S^3 * R^-2 * S * R^-9 * S ] R222.15 : Type {76,456}_24 Order 1824 mV = 456 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^-2 * R^-1 * S^11 * R^-1 * S^-11, S^-7 * R^21 * S^-1 * R * S^-1 * R^2 * S^-5 ] R222.16 : Type {114,152}_12 Order 1824 mV = 38 mF = 38 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, R^-1 * S * R^-2 * S * R^-1 * S * R^-6 * S^3 * R^-3 ] R222.17 : Type {114,152}_24 Order 1824 mV = 76 mF = 57 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^7 * S * R^-5, R^2 * S^-1 * R * S^-1 * R * S^-1 * R^5 * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-4 * R * S^-1 * R * S^-1 * R^2 ] R222.18 : Type {225,225}_4 Order 1800 mV = 75 mF = 75 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^53 * S^-2 * R^14 * S^-1 * R * S^-150 * R^2 ] R222.19 : Type {298,447}_6 Order 1788 mV = 447 mF = 149 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^89 * R^-1 * S^2 * R^-14 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R222.20 : Type {445,890}_2 Order 1780 mV = 890 mF = 445 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^422 * T * R * S^-1 * R * T * R^-18 * S ] R222.21 : Type {446,446}_2 Order 1784 mV = 446 mF = 446 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^423 * T * R * S^-1 * R * T * R^-19 ] R222.22 : Type {888,888}_2 Order 1776 mV = 888 mF = 888 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^422 * S^-1 * R^18 * T * R^-1 * S^2 * T ] Genus 223 R223.1 : Type {4,448}_448 Order 3584 mV = 224 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^112 * R * S^-1 * R * S^111 ] R223.2 : Type {4,448}_448 Order 3584 mV = 224 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^448 ] R223.3 : Type {4,892}_446 Order 3568 mV = 892 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^223 * R^2 * S^223 ] R223.4 : Type {6,225}_450 Order 2700 mV = 75 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-225 ] R223.5 : Type {6,669}_446 Order 2676 mV = 669 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-112 * R^2 * S^-111 ] R223.6 : Type {12,32}_32 Order 2304 mV = 8 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^12, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] R223.7 : Type {12,32}_32 Order 2304 mV = 8 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^32 ] R223.8 : Type {12,69}_184 Order 2208 mV = 23 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^-12 * R^3 * S * R^-2 * S^6 * R^-1 * S^-4 ] R223.9 : Type {12,180}_90 Order 2160 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^45 * R * S^-2 * R * S^43 ] R223.10 : Type {12,180}_90 Order 2160 mV = 90 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^45 * R^5 * S^-2 * R * S^43 ] R223.11 : Type {21,84}_24 Order 2016 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^12 * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 ] R223.12 : Type {48,60}_80 Order 1920 mV = 15 mF = 24 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^10 * R * S^-3 * R * S^7 ] R223.13 : Type {48,60}_80 Order 1920 mV = 30 mF = 24 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, R^-14 * S^-1 * R * S^-1 * R^-1, S^10 * R * S^-3 * R * S^7 ] R223.14 : Type {102,153}_18 Order 1836 mV = 51 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^7 * R^-3 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-13 * S^2 ] R223.15 : Type {114,228}_8 Order 1824 mV = 76 mF = 38 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^-1 * R^34 * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^11 * S^-2 ] R223.16 : Type {447,894}_2 Order 1788 mV = 894 mF = 447 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^210 * T * R^17 * T * R^-1 * S * R^-1 * S * R^-215 ] R223.17 : Type {448,448}_2 Order 1792 mV = 448 mF = 448 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^216 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-210 * R ] R223.18 : Type {448,448}_4 Order 1792 mV = 448 mF = 448 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^166 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R223.19 : Type {892,892}_2 Order 1784 mV = 892 mF = 892 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^423 * T * R * S^-1 * R * T * R^-18 * S ] Genus 224 R224.1 : Type {4,450}_900 Order 3600 mV = 225 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^450 ] R224.2 : Type {4,896}_896 Order 3584 mV = 896 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^224 * R^2 * S^224 ] R224.3 : Type {6,226}_678 Order 2712 mV = 113 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^226 ] R224.4 : Type {6,672}_224 Order 2688 mV = 672 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^112 * R^2 * S^112 ] R224.5 : Type {8,300}_600 Order 2400 mV = 150 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^75 * R^4 * S^3 * T * S^-2 * T * S^70 ] R224.6 : Type {10,114}_570 Order 2280 mV = 57 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^114 ] R224.7 : Type {10,560}_112 Order 2240 mV = 560 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^56 * R^2 * S^56 ] R224.8 : Type {16,66}_528 Order 2112 mV = 33 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^66 ] R224.9 : Type {18,58}_522 Order 2088 mV = 29 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^58 ] R224.10 : Type {18,504}_56 Order 2016 mV = 504 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^-1 * S * R^-15 * S, S^28 * R^2 * S^28 ] R224.11 : Type {30,34}_510 Order 2040 mV = 17 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^34 ] R224.12 : Type {30,480}_32 Order 1920 mV = 480 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^2, S^16 * R^2 * S^16 ] R224.13 : Type {34,476}_28 Order 1904 mV = 476 mF = 17 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^4, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R224.14 : Type {52,234}_36 Order 1872 mV = 117 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^7 * R^-8 * S^11 ] R224.15 : Type {58,464}_16 Order 1856 mV = 464 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^16 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 ] R224.16 : Type {66,462}_14 Order 1848 mV = 462 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^6 * R * S^-6 * R * S^2, R^23 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R224.17 : Type {92,230}_20 Order 1840 mV = 115 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^-2 * R^-1 * S^9 * R^-1 * S^-9, S^7 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-9 * S^3 ] R224.18 : Type {114,456}_8 Order 1824 mV = 456 mF = 57 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^56 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R224.19 : Type {130,455}_14 Order 1820 mV = 455 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^6 * R * S^-6 * R * S^2, S^7 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R224.20 : Type {152,228}_24 Order 1824 mV = 114 mF = 76 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^-5 * R * S^6, S^-3 * R^3 * S^-3 * R * S^-2 * T * S * R^-2 * S * R^-4 * S * R^-3 * T * R^6 * S^-1 * R^5 * S^-2 ] R224.21 : Type {226,452}_4 Order 1808 mV = 452 mF = 113 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^168 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R224.22 : Type {449,898}_2 Order 1796 mV = 898 mF = 449 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^446 * T * R^-1 * S^2 * T ] R224.23 : Type {450,450}_2 Order 1800 mV = 450 mF = 450 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^215 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-214 ] R224.24 : Type {896,896}_2 Order 1792 mV = 896 mF = 896 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^216 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-211 ] Genus 225 R225.1 : Type {3,20}_10 Order 7680 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (S^2 * R^-1 * S^2)^4 ] R225.2 : Type {3,20}_10 Order 7680 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * R^-1 * S^2 * R * S^-6 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R225.3 : Type {3,20}_20 Order 7680 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S^2 * R * S^-7 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R225.4 : Type {3,20}_20 Order 7680 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-7 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S, S * R^-1 * S^2 * R * S^-6 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R225.5 : Type {3,48}_32 Order 6144 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-10 * R^-1 * S^11 * R^-1 * S^-3 ] R225.6 : Type {3,48}_32 Order 6144 mV = 8 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, 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^-3 * R * S^-1 ] R225.7 : Type {4,12}_8 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, 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^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1 * R ] R225.8 : Type {4,12}_16 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * R ] R225.9 : Type {4,18}_18 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2 ] R225.10 : Type {4,18}_18 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-3 * R^-1 * S * R * S^-2 * R^2 * S^5 * R^-1 * S^-1 * R, S^18 ] R225.11 : Type {4,18}_18 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (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, S^18 ] R225.12 : Type {4,18}_36 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^7, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^-1 ] R225.13 : Type {4,18}_36 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2 ] R225.14 : Type {4,18}_36 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^18 ] R225.15 : Type {4,18}_72 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1, S^18 ] R225.16 : Type {4,18}_72 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-5)^2, S^18 ] R225.17 : Type {4,32}_4 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, S^-15 * R * S^-1 * R^-2 * S^-1 * R * S^-15 ] R225.18 : Type {4,32}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * 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 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-5 ] R225.19 : Type {4,32}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, 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 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R * S^-2 * R^2 * S^9 ] R225.20 : Type {4,32}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-1)^16 ] R225.21 : Type {4,32}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R225.22 : Type {4,32}_8 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-4 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^3 ] R225.23 : Type {4,32}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-6 * R^-1 * S * R * S^-6 * R * S * R^-1 * S^-2, S^2 * R^-1 * S * R * S^-3 * R * S^-1 * R^-1 * S^9 ] R225.24 : Type {4,32}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, (R * S^-2)^4, S^2 * R^-1 * S * R * S^-3 * R * S^-1 * R^-1 * S^9 ] R225.25 : Type {4,32}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S^2 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 ] R225.26 : Type {4,32}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R225.27 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^32 ] R225.28 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^32 ] R225.29 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^32 ] R225.30 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^32 ] R225.31 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^32 ] R225.32 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^32 ] R225.33 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, (R * S^-1)^8, S^4 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-5 * R * S^2 ] R225.34 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-1)^8, R^-1 * S^2 * R * S^-6 * R^-1 * S^5 * R^-1 * S^-3 ] R225.35 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-1)^8, S * R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^8 * R^-1 * S^-1 * R * S^2 ] R225.36 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-1)^8, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R225.37 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S^2 ] R225.38 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, (R * S^-1)^8, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^6 ] R225.39 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^7 * R * S^-7 * R * S^2 ] R225.40 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3, S^7 * R * S^-7 * R * S^2 ] R225.41 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S * R^-1 * S^-4 ] R225.42 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-9 ] R225.43 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2, S^-3 * R^-1 * S^2 * R * S^-3 * R * S^6 * R^-1 * S^-2 ] R225.44 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-3 * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^-3 * R^-1 * S^2 * R * S^-3 * R * S^6 * R^-1 * S^-2 ] R225.45 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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, S^3 * R * S^-2 * R^-1 * S * R * S^-2 * R * S^5 * R^-1 * S^-1 * R * S^2 ] R225.46 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R, S^-3 * R^-1 * S^2 * R * S^-5 * R * S^2 * R^-1 * S^-4 ] R225.47 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^3 * R * S^-2 * R^-1 * S * R * S^-2 * R * S^5 * R^-1 * S^-1 * R * S^2 ] R225.48 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-5 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R, S^-3 * R^-1 * S^2 * R * S^-5 * R * S^2 * R^-1 * S^-4 ] R225.49 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^-1 * S^3 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R225.50 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R225.51 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^-1 * S^3 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2, (R * S^-1)^8 ] R225.52 : Type {4,32}_32 Order 4096 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, (R * S^-1)^8 ] R225.53 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^32 ] R225.54 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, (R * S^-1)^8, S^-3 * R^-1 * S^11 * R^-1 * S^-2 ] R225.55 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, S^-3 * R^-1 * S^11 * R^-1 * S^-2, S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R225.56 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1, R * S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-3 * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^3 ] R225.57 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 ] R225.58 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R * S^-3 * R^2 * S^-2 * R * S * R^-1 * S^-2, (R * S^-1)^8 ] R225.59 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R * S^-3 * R^2 * S^-2 * R * S * R^-1 * S^-2, R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 ] R225.60 : Type {4,32}_32 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-1)^8 ] R225.61 : Type {4,60}_30 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^15 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R225.62 : Type {4,60}_30 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^15 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R225.63 : Type {4,60}_30 Order 3840 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^15 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^9 ] R225.64 : Type {4,60}_30 Order 3840 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^15 * R * S^-4 * R * S^11 ] R225.65 : Type {4,60}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^60 ] R225.66 : Type {4,60}_60 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^60 ] R225.67 : Type {4,60}_60 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^15 * R * S^-1 * R * S^4 * R^-1 * S^-2 * R * S^8 ] R225.68 : Type {4,60}_60 Order 3840 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^60 ] R225.69 : Type {4,60}_60 Order 3840 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S^15 * R * S^-4 * R * S^11 ] R225.70 : Type {4,60}_120 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^60 ] R225.71 : Type {4,60}_120 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^60 ] R225.72 : Type {4,60}_120 Order 3840 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^60 ] R225.73 : Type {4,116}_232 Order 3712 mV = 29 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^116 ] R225.74 : Type {4,228}_114 Order 3648 mV = 76 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^57 * R * S^-2 * R * S^55 ] R225.75 : Type {4,228}_228 Order 3648 mV = 57 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^228 ] R225.76 : Type {4,228}_228 Order 3648 mV = 76 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^228 ] R225.77 : Type {4,452}_452 Order 3616 mV = 226 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^452 ] R225.78 : Type {4,900}_450 Order 3600 mV = 900 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^225 * R^2 * S^225 ] R225.79 : Type {5,8}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R^2 * S^-3 * R^-2 * S^-3 * R^2 * S^-1 * R, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-2 ] R225.80 : Type {5,8}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^4 * R^-1, S^2 * R * S^-1 * R^2 * S^-2 * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 ] R225.81 : Type {5,8}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (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^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R225.82 : Type {5,8}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (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, (S * R^-1 * S)^5 ] R225.83 : Type {6,7}_14 Order 4704 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 ] R225.84 : Type {6,7}_56 Order 4704 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-2)^4 ] R225.85 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R ] R225.86 : Type {6,10}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1 * R)^4, S^-1 * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] R225.87 : Type {6,10}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2, (R * S^-1 * R)^4, R^-1 * S * R^-2 * S * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R^2 * S ] R225.88 : Type {6,24}_4 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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 * R)^4, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R225.89 : Type {6,24}_4 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2)^4, (R * S^-5)^2 ] R225.90 : Type {6,24}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, S^-7 * R^3 * S^-5, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^-3 * R * S^2 ] R225.91 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R225.92 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1 ] R225.93 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-4 * R)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R225.94 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1 * R)^4, (R * S^-3 * R * S^-1)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R225.95 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ] R225.96 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-3 * R * S^-1)^2, (R * S^-2)^4, (R * S^-5)^2 ] R225.97 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-1 * R)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-5)^2 ] R225.98 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-3 * S^-1 * R^2 * S^2, (R * S^-2)^4 ] R225.99 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-2 * R^2 * S^-1 * R^-3 * S^3 * R^-1 * S^-2 ] R225.100 : Type {6,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-2)^4, (R * S^-5)^2, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] R225.101 : Type {6,24}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, S^-7 * R^3 * S^-5, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R225.102 : Type {6,24}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-7 * R^3 * S^-5 ] R225.103 : Type {6,24}_16 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1 * R)^4 ] R225.104 : Type {6,24}_16 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R225.105 : Type {6,24}_16 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^-2 * S^-5 * R, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R225.106 : Type {8,12}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, (R * S^-2)^4 ] R225.107 : Type {8,12}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-2)^4 ] R225.108 : Type {8,12}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^12, S^2 * R^2 * S^-2 * R^-3 * S^-2 * R^2 * S^2 * R^-1 ] R225.109 : Type {8,12}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-2)^4 ] R225.110 : Type {8,12}_6 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1 ] R225.111 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-2)^4, (R * S^-5)^2, S^12, R * S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-2 ] R225.112 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2)^4, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.113 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-2)^4, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.114 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-2)^4 ] R225.115 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-5)^2, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.116 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.117 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-5)^2 ] R225.118 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R225.119 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-5)^2, S^12, S^-3 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] R225.120 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R225.121 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2 ] R225.122 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-5)^2 ] R225.123 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-5)^2 ] R225.124 : Type {8,12}_6 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * 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 ] R225.125 : Type {8,12}_6 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * 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 ] R225.126 : Type {8,12}_6 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4, (R * S^-5)^2, S^12 ] R225.127 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R225.128 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-3, S^12 ] R225.129 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 ] R225.130 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^12 ] R225.131 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, S^-4 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R225.132 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S ] R225.133 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^4 * R^-1 * S ] R225.134 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S ] R225.135 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R225.136 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-2)^4, S^12, (R * S^-3 * R * S^-1 * R)^2 ] R225.137 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R225.138 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R225.139 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1 ] R225.140 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, S^5 * R^3 * S^5 * R^-1 ] R225.141 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^12, S^5 * R^3 * S^5 * R^-1 ] R225.142 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R225.143 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-2)^4, (R * S^-5)^2, S^12, R * S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-2, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S ] R225.144 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1)^3, (R * S^-2)^4, (R * S^-5)^2, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.145 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, (R * S^-2)^4, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.146 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-2)^4, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R225.147 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^12 ] R225.148 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^12 ] R225.149 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-5)^2, S^12, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S ] R225.150 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, R * S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R ] R225.151 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.152 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.153 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R225.154 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S ] R225.155 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S^12, S^-3 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S ] R225.156 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, R * S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R ] R225.157 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S^12, S^-3 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2, R * S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R ] R225.158 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S ] R225.159 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-5)^2, S^12, S^-3 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] R225.160 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R225.161 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2 ] R225.162 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-5)^2 ] R225.163 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R225.164 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2 ] R225.165 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S^12, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S ] R225.166 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R225.167 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S^12, (R * S^-3 * R * S^-1 * R)^2 ] R225.168 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-5)^2 ] R225.169 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R225.170 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, 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 ] R225.171 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, 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 ] R225.172 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R225.173 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S^12 ] R225.174 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S ] R225.175 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-4 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] R225.176 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, R * S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-2 ] R225.177 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R225.178 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S ] R225.179 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S ] R225.180 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, (R * S^-2)^4 ] R225.181 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S ] R225.182 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-2)^4, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S ] R225.183 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R^2 * S^2 ] R225.184 : Type {8,12}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12 ] R225.185 : Type {8,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12 ] R225.186 : Type {8,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S^12 ] R225.187 : Type {8,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12 ] R225.188 : Type {8,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12, R * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S^-3 ] R225.189 : Type {8,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, R^-1 * S^2 * R * S^-1 * R^3 * S * R^-1 * S^4 ] R225.190 : Type {8,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, R^-1 * S^2 * R * S^-1 * R^3 * S * R^-1 * S^4 ] R225.191 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1 ] R225.192 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1 ] R225.193 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^12 ] R225.194 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^12, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2 ] R225.195 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^12, S^-2 * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1 * S^-1 ] R225.196 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2 ] R225.197 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 ] R225.198 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2 ] R225.199 : Type {8,12}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2 ] R225.200 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-3, S^12 ] R225.201 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-2 * R * S^-1 * R)^2, S^12 ] R225.202 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^-2 * R * S, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R225.203 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R225.204 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, (R^-1 * S^5)^2, S^12, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.205 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-2)^4, (R * S^-5)^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1 ] R225.206 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, (R * S^-2)^4, (R * S^-5)^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 ] R225.207 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R225.208 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^12, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R ] R225.209 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R225.210 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^12 ] R225.211 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^12, R * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S^3 ] R225.212 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, (R * S^-2)^4 ] R225.213 : Type {8,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^3 * S^-1 * R^3 * S^5, (R * S^-2)^4 ] R225.214 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^12, R * S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R225.215 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-5)^2, S^12, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2 ] R225.216 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R225.217 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^12, R * S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R225.218 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-2)^4, R^2 * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S ] R225.219 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^2 * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R^2 * S^2 ] R225.220 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * 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 ] R225.221 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-5)^2, S^12, S^2 * R * S^-2 * R^-3 * S^3 * R^-1 * S^2 * R^-1 * S ] R225.222 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R225.223 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R225.224 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R225.225 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-5)^2, S^12, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2 ] R225.226 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, 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 ] R225.227 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^12, R * S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R225.228 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R225.229 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-5)^2, S^12, S^2 * R * S^-2 * R^-3 * S^3 * R^-1 * S^2 * R^-1 * S ] R225.230 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-5)^2, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R225.231 : Type {8,12}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-5)^2, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R225.232 : Type {8,12}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R ] R225.233 : Type {8,12}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^12, R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-2 ] R225.234 : Type {8,12}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^12, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R225.235 : Type {8,12}_48 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12, R * S^-1 * R^2 * S^-2 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-2 ] R225.236 : Type {8,12}_48 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, 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^12 ] R225.237 : Type {8,12}_48 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^12, S * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * R^-1 ] R225.238 : Type {8,12}_48 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^12, (R * S^-1)^8 ] R225.239 : Type {8,12}_48 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^12, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R225.240 : Type {8,24}_4 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * S * R^3 * S * R^-2 * S^-2, S * R^3 * S^-1 * R^3 * S^2 * R^-1 * S * R^-1 * S ] R225.241 : Type {8,24}_4 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R225.242 : Type {8,24}_6 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R225.243 : Type {8,24}_6 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^4 * S^2 * R^-2 * S^-1, R^2 * S^-1 * R * S^-1 * R^2 * S^-5 ] R225.244 : Type {8,40}_10 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-4 * R * S^5, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R225.245 : Type {8,40}_10 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^-5 * R^3 * S^4 * R^-1 * S^-1 ] R225.246 : Type {8,40}_20 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R225.247 : Type {8,40}_20 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R225.248 : Type {8,40}_20 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-5 * R^3 * S^4 * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R225.249 : Type {8,40}_20 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S * R * S^-4 * R * S^5 ] R225.250 : Type {8,40}_20 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R225.251 : Type {8,40}_40 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^40 ] R225.252 : Type {8,40}_40 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^40 ] R225.253 : Type {8,40}_40 Order 2560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^10 * R * S^-2 * R * S^3 * R^-2 * S^5 ] R225.254 : Type {8,40}_40 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^-10 * R^-2 * S^-1 * R * S^5 * R^-1 * S^-4 ] R225.255 : Type {8,40}_40 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^40 ] R225.256 : Type {8,40}_40 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^40 ] R225.257 : Type {8,40}_40 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^10 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^6 ] R225.258 : Type {8,40}_40 Order 2560 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^-10 * R^-2 * S^-2 * R * S^3 * R^-1 * S^-5 ] R225.259 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^10 * R^3 * S^-5 * R * S^5 ] R225.260 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^4 * R^3 * S^4 * R^-1, S^10 * R * S^-4 * R * S^6 ] R225.261 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10 * R^3 * S^-5 * R * S^5 ] R225.262 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^4 * R^3 * S^4 * R^-1, S^10 * R * S^-4 * R * S^6 ] R225.263 : Type {8,40}_40 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^10 * R^2 * S * R^-2 * S * R^-1 * S^-2 * R * S^6 ] R225.264 : Type {8,40}_40 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^40 ] R225.265 : Type {8,40}_40 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^40 ] R225.266 : Type {8,40}_40 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^10 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^5 ] R225.267 : Type {8,40}_40 Order 2560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^10 * R^3 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^5 ] R225.268 : Type {8,40}_40 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, 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^40 ] R225.269 : Type {8,40}_40 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^-10 * R^-1 * S * R^-2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-5 ] R225.270 : Type {8,40}_40 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^10 * R^4 * S^10 ] R225.271 : Type {8,40}_40 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^40 ] R225.272 : Type {8,40}_40 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^-10 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-5 ] R225.273 : Type {8,40}_80 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2, S^10 * R^4 * S^10 ] R225.274 : Type {8,152}_76 Order 2432 mV = 38 mF = 2 Defining relations for automorphism group: [ R^8, 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^38 * R^4 * S^38 ] R225.275 : Type {8,152}_152 Order 2432 mV = 38 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^38 * R^2 * S^2 * R^-1 * S^-3 * R * S^33 ] R225.276 : Type {8,152}_152 Order 2432 mV = 38 mF = 2 Defining relations for automorphism group: [ R^8, 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^38 * R^3 * S^-7 * R^-1 * S^31 ] R225.277 : Type {8,152}_152 Order 2432 mV = 38 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^152 ] R225.278 : Type {8,152}_152 Order 2432 mV = 76 mF = 2 Defining relations for automorphism group: [ R^8, 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^38 * R * S^-1 * R * S^37 ] R225.279 : Type {8,152}_152 Order 2432 mV = 76 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^152 ] R225.280 : Type {8,600}_150 Order 2400 mV = 600 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^75 * R * S^-2 * R * S^73 ] R225.281 : Type {8,600}_300 Order 2400 mV = 600 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^75 * R^2 * S^75 ] R225.282 : Type {10,20}_4 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, 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^-2 * R^2)^2, S * R^3 * S^-1 * R^3 * S^2 * R^-1 * S * R^-1 * S ] R225.283 : Type {10,20}_8 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-1 * R^4 * S * R^-3 * S ] R225.284 : Type {10,20}_8 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1 ] R225.285 : Type {10,20}_8 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, 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, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S^-1 ] R225.286 : Type {10,20}_8 Order 2560 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R225.287 : Type {10,20}_8 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, 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 ] R225.288 : Type {12,12}_8 Order 2688 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^12, S^-1 * R^6 * S^-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 ] R225.289 : Type {12,12}_16 Order 2688 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S^-2 * R * S^-1 * R^4 * S^2 * R^-2 * S^-1 * R, S^-2 * R^-1 * S * R^4 * S * R^-1 * S^-2 * R^2 ] R225.290 : Type {12,28}_6 Order 2352 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R * S^-2 * R^4 * S^-2 * R * S^2, S^-5 * R * S^-1 * R^2 * S^-1 * R * S^-5 ] R225.291 : Type {12,28}_6 Order 2352 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R * S^-1 * R^-1 * S^11 * R^-1 * S^-1 * R * S^-1 ] R225.292 : Type {12,92}_276 Order 2208 mV = 46 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^92 ] R225.293 : Type {14,77}_154 Order 2156 mV = 11 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^-77 ] R225.294 : Type {14,525}_150 Order 2100 mV = 525 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^-38 * R^2 * S^-37 ] R225.295 : Type {18,18}_4 Order 2304 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^-2 * S)^3, (S * R^-1 * S)^3 ] R225.296 : Type {18,18}_4 Order 2304 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S * R^-2 * S * R^-2, R^18 ] R225.297 : Type {18,18}_4 Order 2304 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^6 * S^5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, R * S^-1 * R^2 * S^-2 * R^5 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R225.298 : Type {18,18}_8 Order 2304 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (S * R^-1 * S)^3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R225.299 : Type {18,18}_8 Order 2304 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^-2 * S * R^3 * S^2 * R^-1 * S^-2, R^-7 * S * R^-1 * S^-1 * R * S^2, S * R * S^-1 * R^-4 * S * R^-2 * S * R^-1 * S ] R225.300 : Type {18,18}_8 Order 2304 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S * R^-2 * S^3 * R^-3 * S * R^-3 * S^3 * R^-1 ] R225.301 : Type {18,18}_8 Order 2304 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, S^4 * R^-3 * S * R^-5 * S * R^-2 * S^2 ] R225.302 : Type {18,18}_8 Order 2304 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 * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^4, S * R^2 * S^-2 * R^3 * S^2 * R^-2 * S^2, R^-1 * S^2 * R^-1 * S^3 * R^-1 * S * R^-3 * S^2 * R^-2 * S^2 ] R225.303 : Type {18,18}_8 Order 2304 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^6 * S^5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, R^-3 * S^2 * R^-7 * S * R^-1 * S * R^-1 * S^2 ] R225.304 : Type {20,52}_260 Order 2080 mV = 26 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^52 ] R225.305 : Type {22,495}_90 Order 1980 mV = 495 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^-1 * S * R^-1 * S * R^-18, S^-23 * R * S^6 * R^-1 * S^-16 ] R225.306 : Type {32,32}_4 Order 2048 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^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R * S^-1 * R^3 * S^-3 * R * S^-1 * R^2 * S^-3 * R * S^-3 * R^8 * S^-1 * R * S^-2 * R ] R225.307 : Type {32,32}_4 Order 2048 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S * R^-1 * S * R^-1 * S * R^-1, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1, R^10 * S^-2 * R^2 * S^-2 ] R225.308 : Type {32,32}_4 Order 2048 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^6 * S^2 * R^-2 * S, S * R^2 * S^-2 * R^2 * S^5, R^9 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R225.309 : Type {32,32}_4 Order 2048 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^10 * S^-2 * R^2 * S^-2 ] R225.310 : Type {32,32}_4 Order 2048 mV = 4 mF = 8 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, S * R^-6 * S^2 * R^-2 * S * R^-20 ] R225.311 : Type {32,32}_4 Order 2048 mV = 4 mF = 8 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^-2 * R^2 * S^5, R^11 * S^-1 * R^3 * S^-1 ] R225.312 : Type {32,32}_4 Order 2048 mV = 4 mF = 8 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^-1 * R^8 * S^-7 ] R225.313 : Type {32,32}_4 Order 2048 mV = 4 mF = 8 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^3 * S^-1 * R^3 * S^6, R^11 * S^-1 * R^3 * S^-1 ] R225.314 : Type {32,32}_8 Order 2048 mV = 4 mF = 4 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^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R^8 * S^-3 * R^5 * S^-3 ] R225.315 : Type {32,32}_8 Order 2048 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, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, R^-2 * S * R^-1 * S * R^-5 * T * S^-1 * R^8 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^5 * R^-1 ] R225.316 : Type {32,32}_8 Order 2048 mV = 4 mF = 4 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 * S^-1 * R^4 * S^2 * R^-3, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2, R^10 * S^-1 * R * S^-2 * R * S^-1 ] R225.317 : Type {32,32}_8 Order 2048 mV = 4 mF = 4 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 * S^-1 * R^4 * S^2 * R^-3, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2, R^2 * S^-1 * R^6 * S^-1 * R * S^-2 * R^3 ] R225.318 : Type {32,32}_8 Order 2048 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^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^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, R^10 * S^-2 * R^2 * S^-2 ] R225.319 : Type {32,32}_8 Order 2048 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^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^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, R^2 * S^-1 * R^6 * S^-1 * R * S^-1 * R * S^-3 ] R225.320 : Type {32,32}_8 Order 2048 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^-2 * S, S * R * S^-2 * R^2 * S * R^-1 * S^2, S^5 * R^-1 * S * R^-1 * S * R^-4 * T * S^-1 * R^6 * S^-2 * R * S^-1 * R * T * S * R^-6 ] R225.321 : Type {32,32}_8 Order 2048 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^2 * S^-1 * R^6 * S^-1 * R^3 * S^-2 * R ] R225.322 : Type {32,32}_8 Order 2048 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^4 * S^2 * R^-3, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, R * S^-1 * R^9 * S^-1 * R * S^-1 * R * S^-1 ] R225.323 : Type {32,32}_8 Order 2048 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R * S^-1 * R^9 * S^-1 * R * S^-1 * R * S^-1 ] R225.324 : Type {32,32}_8 Order 2048 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^-2 * S * R * S^-1 * R^-3 * S^2 * R^-1 * S^-1 * R * S^2 ] R225.325 : Type {32,32}_8 Order 2048 mV = 4 mF = 4 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, R^-1 * S * R * S^-1 * R^3 * S^-3 * R * S^-1, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R225.326 : Type {32,32}_8 Order 2048 mV = 4 mF = 4 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^-3 * R^2 * S^4 * R^-1, R^9 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R225.327 : Type {32,32}_8 Order 2048 mV = 4 mF = 8 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, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^3 * S^-1 * R^3 * S^6, R^2 * S^-1 * R^6 * S^-1 * R * S^-1 * R * S^-3 ] R225.328 : Type {32,32}_8 Order 2048 mV = 4 mF = 8 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^-4 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-5 * S * R^-8 * S^3 * R^-1 ] R225.329 : Type {32,32}_8 Order 2048 mV = 4 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^4 * S^2 * R^-3, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, R * S^-1 * R^11 * S^-1 * R^2 ] R225.330 : Type {32,32}_8 Order 2048 mV = 4 mF = 8 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^-2 * R^2 * S^5, R^11 * S^-1 * R^3 * S^-1 ] R225.331 : Type {32,32}_8 Order 2048 mV = 4 mF = 8 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, S * R^2 * S^-2 * R^2 * S^5, R^10 * S^-2 * R^2 * S^-2 ] R225.332 : Type {32,32}_8 Order 2048 mV = 4 mF = 8 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^-3 * R^2 * S^4 * R^-1, R^11 * S^-1 * R^3 * S^-1 ] R225.333 : Type {32,32}_8 Order 2048 mV = 4 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2, S * R * S^-1 * R^4 * S^2 * R^-3, R^11 * S^-1 * R^3 * S^-1 ] R225.334 : Type {32,32}_8 Order 2048 mV = 8 mF = 4 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^7 * S^3 * R^-1 * S^2, R^10 * S^-2 * R^2 * S^-2 ] R225.335 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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 * S^-1 * R^5 * S^-2 * R * S^-1 * R^2 * S^-1 * R^8 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R225.336 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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 * S^-1 * R^4 * S^2 * R^-3, S^2 * R^5 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2, R^11 * S^-1 * R^3 * S^-1 ] R225.337 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, R^9 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R225.338 : Type {32,32}_8 Order 2048 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^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^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, R^11 * S^-1 * R^3 * S^-1 ] R225.339 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, R^2 * S^-1 * R^6 * S^-2 * R * S^-1 * R * S^-2 ] R225.340 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, R^12 * S^-4 ] R225.341 : Type {32,32}_8 Order 2048 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^-3 * R * S^-7 * R^10 * S^-2 * R * S^-3 * R * S^-1 * R^3 ] R225.342 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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, S^7 * R^-1 * S * R^-1 * S * R^-3 * S * R^-1 * S * R^-8 * S^3 * R^-1 * S^2 * R^-1 ] R225.343 : Type {32,32}_8 Order 2048 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^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R225.344 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2, S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] R225.345 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^9 * S^-3 * R * S^-3 ] R225.346 : Type {32,32}_8 Order 2048 mV = 8 mF = 8 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^7 * S^3 * R^-1 * S^2, R^11 * S^-1 * R^3 * S^-1 ] R225.347 : Type {32,32}_16 Order 2048 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^8 * S^-7 ] R225.348 : Type {32,32}_16 Order 2048 mV = 4 mF = 4 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 * S^-1 * R^4 * S^2 * R^-3, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, S^-1 * R^8 * S^-7 ] R225.349 : Type {32,32}_16 Order 2048 mV = 4 mF = 4 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, R^-1 * S * R * S^-1 * R^3 * S^-3 * R * S^-1, S^-1 * R^2 * S^-3 * R^-3 * S^2 * R^-3 * S^-2 ] R225.350 : Type {32,32}_16 Order 2048 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^2 * S^-3 * R^-4 * S^-3 * R^2 * S^-1 ] R225.351 : Type {32,32}_16 Order 2048 mV = 4 mF = 4 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^8 * S^-7 ] R225.352 : Type {32,32}_16 Order 2048 mV = 4 mF = 8 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^10 * S^-1 * R * S^-2 * R * S^-1, S^-6 * R^-1 * S^7 * R^-1 * S^-3 ] R225.353 : Type {32,32}_16 Order 2048 mV = 4 mF = 8 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, R^11 * S^-1 * R^3 * S^-1, S^-7 * R^-1 * S^3 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 ] R225.354 : Type {32,32}_16 Order 2048 mV = 4 mF = 8 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^11 * S^-1 * R^3 * S^-1, S^2 * R * S^-7 * R * S^7 ] R225.355 : Type {32,32}_16 Order 2048 mV = 4 mF = 8 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^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^-6, R^3 * S^-1 * R^3 * S^-2 * R * S^-1 * R^7 * S^-1 * R^2 * S^-3 * R * S^-4 * R^3 ] R225.356 : Type {32,32}_16 Order 2048 mV = 8 mF = 4 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^-1 * R^4 * S^2 * R^-3, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, R^10 * S^-1 * R * S^-2 * R * S^-1 ] R225.357 : Type {32,32}_16 Order 2048 mV = 8 mF = 4 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, S * R^6 * S * R^-1 * S^2 * R^-1, R^5 * S^-2 * R * S^-3 * R^9 * S^-1 * R * S^-2 * R * S^-2 * R^2 * S^-1 * R * S^-1 ] R225.358 : Type {32,32}_16 Order 2048 mV = 8 mF = 4 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, R * S^-2 * R^6 * S^-6 * R ] R225.359 : Type {32,32}_16 Order 2048 mV = 8 mF = 4 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^10 * S^-1 * R * S^-2 * R * S^-1 ] R225.360 : Type {32,32}_16 Order 2048 mV = 8 mF = 8 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, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2, R^12 * S^-4 ] R225.361 : Type {32,32}_16 Order 2048 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^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R225.362 : Type {32,32}_16 Order 2048 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^4 * S^-3, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R ] R225.363 : Type {32,32}_16 Order 2048 mV = 8 mF = 8 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^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2, S * R^-1 * S^3 * R^2 * S^3 * 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 ] R225.364 : Type {32,32}_16 Order 2048 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, (R * S^-1)^4, (R * S^-3)^2, S^8 * R^-2 * S * R^-1 * S^-5 * R * S^2, R^13 * S * R^-1 * S^2 * R^-1 * S * R ] R225.365 : Type {32,32}_16 Order 2048 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, S^-1 * R^-5 * S^5 * R * S^-2 * R^8 * S^-5 * R^-2 * S^-3 ] R225.366 : Type {32,32}_16 Order 2048 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, (R * S^-1 * R^6)^2, S^-2 * R^-1 * S^11 * R^-1 * S^-3, R^-11 * S^-1 * R^3 * S^-1 * R^-2 ] R225.367 : Type {32,32}_16 Order 2048 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 * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^-2 * R^-1 * S^11 * R^-1 * S^-3, R^-11 * S^-1 * R^3 * S^-1 * R^-2 ] R225.368 : Type {32,32}_16 Order 2048 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, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-1 * R * S * R^-1 ] R225.369 : Type {32,32}_16 Order 2048 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)^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R^3 * S^-3 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 ] R225.370 : Type {32,32}_16 Order 2048 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)^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2 ] R225.371 : Type {32,32}_16 Order 2048 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, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-6 * S^-6 ] R225.372 : Type {32,32}_16 Order 2048 mV = 8 mF = 8 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^8 * S^-7 ] R225.373 : Type {32,32}_16 Order 2048 mV = 8 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^11 * S^-1 * R^3 * S^-1 ] R225.374 : Type {32,32}_16 Order 2048 mV = 8 mF = 8 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, S * R * S^-3 * R * S^4, R^9 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R225.375 : Type {32,32}_16 Order 2048 mV = 8 mF = 8 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^4 * S^2 * R^-3, 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, S * R^7 * S^3 * R^-1 * S^2, R^11 * S^-1 * R^3 * S^-1 ] R225.376 : Type {32,32}_16 Order 2048 mV = 8 mF = 8 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^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-3 ] R225.377 : Type {32,32}_32 Order 2048 mV = 2 mF = 8 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^-8 * R^3 * S * R^-1 * S^-7 ] R225.378 : Type {32,32}_32 Order 2048 mV = 2 mF = 8 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^-1 * S^4 * R^-2 * S^2 * R^-1 * S^-6, R^3 * S^-1 * R^3 * S^-2 * R * S^-1 * R^7 * S^-1 * R^2 * S^-3 * R * S^-4 * R^3 ] R225.379 : Type {32,32}_32 Order 2048 mV = 2 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, R^13 * S^-1 * R * S^-1, S^32 ] R225.380 : Type {32,32}_32 Order 2048 mV = 2 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^32 ] R225.381 : Type {32,32}_32 Order 2048 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, S^-1 * R^-5 * S^5 * R * S^-2 * R^8 * S^-6 * R^2 * S^-2 ] R225.382 : Type {32,32}_32 Order 2048 mV = 8 mF = 16 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^-14 * S^-1 * R * S^-1 * R^-1, S^32 ] R225.383 : Type {32,32}_32 Order 2048 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^32 ] R225.384 : Type {32,480}_30 Order 1920 mV = 480 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^-2 * R^-1 * S^14 * R^-1 * S^-14 ] R225.385 : Type {32,480}_60 Order 1920 mV = 480 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^15 * R^-1 * S^-7 * R * S^8 ] R225.386 : Type {38,475}_50 Order 1900 mV = 475 mF = 19 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^6, S^-13 * R * S^3 * R^-1 * S^-9 ] R225.387 : Type {40,120}_6 Order 1920 mV = 40 mF = 10 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, S * R^-1 * S^5 * R^-1 * S * R^-3 * S * R^-1 * S^2 * R^-12 * S^2 * R^-1 * S * R^-1 * S * R^-6 ] R225.388 : Type {40,120}_12 Order 1920 mV = 30 mF = 10 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^-3 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-11 * S * R^-5 * S * R^-7 ] R225.389 : Type {40,120}_12 Order 1920 mV = 40 mF = 10 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^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-2 * S * R^-10 * S^4 * R^-1 ] R225.390 : Type {40,120}_24 Order 1920 mV = 30 mF = 10 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^-2 * S^3 * R^-2 * S * R^-4 * S^7 ] R225.391 : Type {40,120}_24 Order 1920 mV = 30 mF = 10 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^-6 * R^-3 * S^4 * R^-1 * S^-2, R^-1 * S^2 * R^-3 * S * R^-8 * S^2 * R^-1 * S * R^-1 ] R225.392 : Type {40,120}_24 Order 1920 mV = 30 mF = 20 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^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-6 * S, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R225.393 : Type {40,120}_24 Order 1920 mV = 40 mF = 10 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, R * S^-1 * R^-1 * S * R * S^-4 * R^2 * S^-4 * R * S^2 ] R225.394 : Type {40,120}_24 Order 1920 mV = 40 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-3 * R^2 * S^-6 * R * S^2 ] R225.395 : Type {40,120}_24 Order 1920 mV = 60 mF = 10 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^-5 * R * S^6, R^-3 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-11 * S * R^-5 * S * R^-7 ] R225.396 : Type {40,120}_24 Order 1920 mV = 60 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, R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-5 * S * R^-2 * S^2, S^12 * R * S^-1 * R * S^11 ] R225.397 : Type {48,80}_10 Order 1920 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^-4 * R * S^5, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2, R * S^-1 * R^7 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R225.398 : Type {48,80}_10 Order 1920 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^-2 * R^3 * S^-3, R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] R225.399 : Type {48,80}_20 Order 1920 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, R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 ] R225.400 : Type {48,80}_20 Order 1920 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^-2 * R * S^-1)^3, S * R * S^-4 * R * S^5, R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 ] R225.401 : Type {48,80}_60 Order 1920 mV = 40 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^10 * R * S^-1 * R * S^9 ] R225.402 : Type {48,80}_60 Order 1920 mV = 40 mF = 24 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^11 * S * R^-1 * S, S^10 * R * S^-5 * R * S^5 ] R225.403 : Type {48,80}_120 Order 1920 mV = 40 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^10 * R * S^-5 * R * S^5 ] R225.404 : Type {48,80}_120 Order 1920 mV = 40 mF = 24 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^11 * S * R^-1 * S, S^10 * R * S^-1 * R * S^9 ] R225.405 : Type {52,468}_18 Order 1872 mV = 468 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^8 * R^-1 * S^-8, R^-1 * S * R^-11 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-12 * S ] R225.406 : Type {60,60}_4 Order 1920 mV = 10 mF = 10 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^-43 * R^11 * S^-1 * R^2 ] R225.407 : Type {60,60}_4 Order 1920 mV = 10 mF = 10 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^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R^-2 * S^2 * R^-1 * S^7 * R^-1 * T * S^-1 * R^6 * S^-1 * R^2 * S^-2 * T * S^4 * R^-1 ] R225.408 : Type {60,60}_4 Order 1920 mV = 10 mF = 10 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^-2 * S^2 * R^-8 * S^4 * R^-2 * S^2 * R^-10 * S * R^-1 * S^2 * R^-1 * S^25 ] R225.409 : Type {60,60}_4 Order 1920 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^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S^-2 * R^5 * S^-1 * R^3 * S^-1 * R^4 * S^-1 * R^11 * S^-2 ] R225.410 : Type {60,60}_4 Order 1920 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^4, R * S^-1 * R * S^-1 * R^40 * S^-1 * R * S^-1 * R^11 * S^-2 ] R225.411 : Type {60,60}_8 Order 1920 mV = 10 mF = 10 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, S * R * S^-2 * R^3 * S^3 * R^-2, S^4 * R^-3 * S * R^-1 * S * R^-1 * S * R^-9 * S^3 * R^-3 * S * R^-2 ] R225.412 : Type {60,60}_8 Order 1920 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^3 * S * R^-1 * S^2, S * R^6 * S^5, R^-1 * S * R^-1 * S * R^-2 * S^2 * R^-3 * S * R^-6 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R225.413 : Type {60,60}_8 Order 1920 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 * R^-1 * S, R^-43 * S * R^-3 * S * R^-10 * S^2 ] R225.414 : Type {60,60}_8 Order 1920 mV = 10 mF = 20 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^-2 * R^2 * S^-1 * R^4 * S^-3 * R^11 * S^-2 * R^2 * S^-2 * R ] R225.415 : Type {60,60}_8 Order 1920 mV = 12 mF = 12 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, S^-1 * R * S^-4 * R^2 * S^-3 * R * S^-1 * R^2 * T * R^-11 * S * T * S^-3 ] R225.416 : Type {60,60}_8 Order 1920 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^3 * S^3 * R^-1, R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^4 * R^-4 * S * R^-5 * S^5 ] R225.417 : Type {60,60}_8 Order 1920 mV = 15 mF = 15 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^30 * S^-6 * R^3 * S^-1 * R^9 * S^-2 * R * S^-3 * R * S^-1 * R * S^-1 * R ] R225.418 : Type {60,60}_8 Order 1920 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^-2 * R * S^3, R * S^-1 * R^35 * S^-1 * R^14 * S^-1 * R * S^-1 * R^2 * S^-2 * R ] R225.419 : Type {62,465}_30 Order 1860 mV = 465 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^-7 * R^16 * S^-8 ] R225.420 : Type {92,460}_10 Order 1840 mV = 460 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^-4 * R * S^5, S * R^-1 * S^32 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R225.421 : Type {116,116}_4 Order 1856 mV = 29 mF = 29 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^-1 * R^84 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R225.422 : Type {152,456}_6 Order 1824 mV = 456 mF = 76 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^92 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R225.423 : Type {152,456}_12 Order 1824 mV = 456 mF = 76 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^5 * R^-1 * S^-1, S^5 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R225.424 : Type {182,455}_10 Order 1820 mV = 455 mF = 91 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^35 * R^-14 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R225.425 : Type {228,228}_4 Order 1824 mV = 76 mF = 76 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^96 * S^-2 * R^10 * S^-2 * R * S^-3 ] R225.426 : Type {228,228}_4 Order 1824 mV = 76 mF = 76 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^152 * R^-1 * S * R^-14 * S^2 * R^-55 * S ] R225.427 : Type {228,228}_4 Order 1824 mV = 114 mF = 114 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^169 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S ] R225.428 : Type {302,453}_6 Order 1812 mV = 453 mF = 151 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^93 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R225.429 : Type {451,902}_2 Order 1804 mV = 902 mF = 451 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^214 * T * R^17 * T * R^-1 * S * R^-1 * S * R^-215 ] R225.430 : Type {452,452}_2 Order 1808 mV = 452 mF = 452 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^430 * T * R^17 * T * R^-1 * S * R^-1 * S ] R225.431 : Type {900,900}_2 Order 1800 mV = 900 mF = 900 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^215 * S^-1 * R * S^-1 * R * T * R^-17 * T * S^-213 * R ] Genus 226 R226.1 : Type {3,12}_30 Order 10800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, (S * R^-1 * S)^15 ] R226.2 : Type {3,16}_10 Order 8640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, (R * S^-7)^2 ] R226.3 : Type {3,16}_30 Order 8640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-7)^2, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 * R^-1 * S^3 * R^-1 * S^2 ] R226.4 : Type {3,18}_30 Order 8100 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S^2 * R^-1 * S^2)^3, (S * R^-1 * S)^15 ] R226.5 : Type {3,24}_60 Order 7200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2, S * R^-1 * S^5 * R^-1 * S * R^-1 * S^-1 * R * S^5 * R^-1 * S, S^-2 * R * S^-2 * 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 * R * S^-1 ] R226.6 : Type {4,12}_30 Order 5400 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (S^-1 * R)^15 ] R226.7 : Type {4,24}_6 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * R)^5, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R226.8 : Type {4,24}_10 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (S^-2 * R * S^-1)^3, S * R^-1 * S^2 * R^-1 * S * R^2 * S * R^-1 * S^2 * R^-1 * S, 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 ] R226.9 : Type {4,54}_108 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^54 ] R226.10 : Type {4,454}_908 Order 3632 mV = 227 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^454 ] R226.11 : Type {4,904}_904 Order 3616 mV = 904 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^226 * R^2 * S^226 ] R226.12 : Type {5,20}_8 Order 3600 mV = 5 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-3 * R * S^4 ] R226.13 : Type {6,6}_30 Order 5400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R226.14 : Type {6,6}_30 Order 5400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^-3 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R226.15 : Type {6,6}_30 Order 5400 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R226.16 : Type {6,12}_60 Order 3600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^12, S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R226.17 : Type {6,12}_60 Order 3600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^2 * S^-1 * R^2 * S^4, S^-1 * 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 * S^3 * R^-1 * S^2 * R * S^-1 ] R226.18 : Type {6,12}_60 Order 3600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^12, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R226.19 : Type {6,12}_60 Order 3600 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, S^-1 * R^3 * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R ] R226.20 : Type {6,28}_84 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, 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^28 ] R226.21 : Type {6,28}_84 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^28 ] R226.22 : Type {6,30}_10 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1, S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R226.23 : Type {6,30}_10 Order 3000 mV = 5 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-5 * R * S^6, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S ] R226.24 : Type {6,30}_10 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^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 ] R226.25 : Type {6,30}_10 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 * R^2 * S^-1 ] R226.26 : Type {6,78}_78 Order 2808 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^78 ] R226.27 : Type {6,78}_78 Order 2808 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^78 ] R226.28 : Type {6,78}_78 Order 2808 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^13 * R^2 * S^2 * R^-1 * S^-3 * R * S^8 ] R226.29 : Type {6,78}_78 Order 2808 mV = 26 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^78 ] R226.30 : Type {6,228}_228 Order 2736 mV = 76 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^228 ] R226.31 : Type {6,228}_228 Order 2736 mV = 114 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^38 * R * S^-1 * R * S^37 ] R226.32 : Type {6,228}_228 Order 2736 mV = 114 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^228 ] R226.33 : Type {6,678}_226 Order 2712 mV = 678 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^113 * R * S^-1 * R * S^112 ] R226.34 : Type {8,16}_20 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R ] R226.35 : Type {8,16}_20 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R^-1 * S^3 * R^-2 * S^3 * R^-1 * S * R^-1 ] R226.36 : Type {8,36}_8 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-9 * R^2 * S^5 * R^-1 * S^-1 * R * S^-3 ] R226.37 : Type {8,36}_72 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^3 * R * S^-6 * R^2 * S^-6 * R * S^3 ] R226.38 : Type {9,18}_30 Order 2700 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S ] R226.39 : Type {9,24}_12 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, R^3 * S^-2 * R^3 * S^-6 ] R226.40 : Type {9,24}_12 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^-2, S^3 * R * S^-2 * R * S^-2 * R * S^7 ] R226.41 : Type {9,24}_12 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^3 * R * S^-2 * R * S^-2 * R * S^7 ] R226.42 : Type {9,24}_36 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^-2 * S^2 * R^-2 * S^-1 ] R226.43 : Type {9,24}_36 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R226.44 : Type {9,24}_36 Order 2592 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R * S^-1 * R^-2 * S^4 * R^-1, S^3 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-2 * R * S^3 ] R226.45 : Type {10,25}_50 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-25 ] R226.46 : Type {10,25}_50 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-3 * S * R^-3 * S^-2 ] R226.47 : Type {10,25}_50 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S * R^-4 * S * R^-1 * S^-3 ] R226.48 : Type {10,25}_50 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, R^2 * S^-1 * R^-4 * S^-1 * R^2 * S^-3 ] R226.49 : Type {10,25}_50 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, S^-3 * R^-4 * S * R^-1 * S^2 * R^-1 * S^-1 ] R226.50 : Type {10,40}_6 Order 2400 mV = 10 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 ] R226.51 : Type {10,115}_230 Order 2300 mV = 23 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-115 ] R226.52 : Type {10,565}_226 Order 2260 mV = 565 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-57 * R^2 * S^-56 ] R226.53 : Type {12,24}_40 Order 2400 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^-3 * R^4 * S * R^-2 * S^-2, S^-1 * R * S^-2 * R * S^-3 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R226.54 : Type {12,24}_40 Order 2400 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 * S^-2 * R^2 * S^3 * R^-1, R^12, S^-4 * R^-1 * S^2 * R^-1 * S^-6, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R226.55 : Type {15,60}_6 Order 2160 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, R^-15, S^5 * R^-3 * S^7 ] R226.56 : Type {18,21}_42 Order 2268 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^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S * R^7 * S * R^-5, S^-21 ] R226.57 : Type {18,36}_10 Order 2160 mV = 9 mF = 3 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^-3 * R * S^4, R^-1 * S * R^-3 * S * R^-9 * S * R^-2 ] R226.58 : Type {18,171}_114 Order 2052 mV = 57 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^-1 * S * R^-15 * S, S^-29 * R * S^6 * R^-1 * S^-22 ] R226.59 : Type {20,30}_12 Order 2160 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R226.60 : Type {20,30}_12 Order 2160 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, (R * S^-2 * R * S^-1)^2 ] R226.61 : Type {21,42}_10 Order 2100 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, R * S^-2 * R^-1 * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2, R^13 * S^-6 * R^2 ] R226.62 : Type {21,168}_12 Order 2016 mV = 42 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, R^12 * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 ] R226.63 : Type {24,84}_168 Order 2016 mV = 14 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^21 * R^2 * S * R^-2 * S^20 ] R226.64 : Type {24,84}_168 Order 2016 mV = 42 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, (R * S^-1 * R^4)^2, R * S * R^-3 * S^-1 * T * S^3 * R * S^-1 * R^-5 * S^2 * R^-1 * S^-1 * T * S^3 * R * S^-2 ] R226.65 : Type {24,84}_168 Order 2016 mV = 42 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^21 * R^-4 * S^2 * T * S^-3 * R^-3 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R226.66 : Type {54,54}_6 Order 1944 mV = 9 mF = 9 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 * S^-2 * R^22 * S^-4 * R^5 * S^-1 * R^11 * S^-7 * R ] R226.67 : Type {54,54}_6 Order 1944 mV = 9 mF = 18 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 * S^-1 * R^20 * S^-3 * R * S^-2 * R^2 * S^-1 * R * S^-1 * R^8 * S^-5 * R * S^-3 * R^4 ] R226.68 : Type {54,54}_6 Order 1944 mV = 18 mF = 9 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, R^-2 * S * R^-7 * S * R^-2 * S * R^-1 * S * R^-2 ] R226.69 : Type {54,54}_6 Order 1944 mV = 18 mF = 9 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, S^2 * R^-4 * S^2 * R^-2 * S * R^-2 * S * R^-1 * S * R^-1 * S ] R226.70 : Type {54,54}_18 Order 1944 mV = 27 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, R^-1 * S * R^10 * S * R^-7, R * S^-12 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-12 * R ] R226.71 : Type {78,156}_12 Order 1872 mV = 52 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^-6 * R^-1 * S^5 * R^-1 * S^-1, S^-23 * R^12 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R226.72 : Type {78,156}_12 Order 1872 mV = 78 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^7 * S * R^-5, R^-5 * S^15 * R^-1 * S^14 * R^-6 * S * R^-14 * S * R^-6 * S^15 ] R226.73 : Type {78,156}_12 Order 1872 mV = 78 mF = 39 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^7 * S * R^-5, S * R * S^-5 * R * S^6, S^-1 * R * S^-1 * R * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R226.74 : Type {153,306}_6 Order 1836 mV = 153 mF = 51 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^94 * R^-3 * S^12 * R^-6 * S * R^-14 * S * R^-6 * S^14 * R^-1 ] R226.75 : Type {228,456}_8 Order 1824 mV = 456 mF = 114 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^54 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S ] R226.76 : Type {453,906}_2 Order 1812 mV = 906 mF = 453 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^214 * T * R^18 * T * R^-1 * S * R^-217 * S ] R226.77 : Type {454,454}_2 Order 1816 mV = 454 mF = 454 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^221 * S^-1 * R * T * R^-18 * T * S^-213 ] R226.78 : Type {904,904}_2 Order 1808 mV = 904 mF = 904 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^430 * T * R^17 * T * R^-1 * S * R^-2 ] Genus 227 R227.1 : Type {4,456}_456 Order 3648 mV = 228 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^114 * R * S^-1 * R * S^113 ] R227.2 : Type {4,456}_456 Order 3648 mV = 228 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^456 ] R227.3 : Type {4,908}_454 Order 3632 mV = 908 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^227 * R^2 * S^227 ] R227.4 : Type {6,116}_174 Order 2784 mV = 29 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^29 * R^2 * S^2 * R^-1 * S^-1 * R * S^26 ] R227.5 : Type {6,681}_454 Order 2724 mV = 681 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-114 * R * S * R^-1 * S^-112 ] R227.6 : Type {8,78}_78 Order 2496 mV = 13 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^78 ] R227.7 : Type {8,78}_156 Order 2496 mV = 26 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^78 ] R227.8 : Type {8,304}_304 Order 2432 mV = 152 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^76 * R * S^-1 * R * S^75 ] R227.9 : Type {8,304}_304 Order 2432 mV = 152 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^76 * R^4 * S^3 * T * S^-2 * T * S^71 ] R227.10 : Type {12,138}_184 Order 2208 mV = 46 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^-12 * R^-1 * S * R^-2 * S^5 * R * S^-5 ] R227.11 : Type {40,240}_48 Order 1920 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, R^-1 * S * R^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-6 * S, S^12 * R * S^-1 * R * S^11 ] R227.12 : Type {40,240}_48 Order 1920 mV = 120 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, R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-5 * S * R^-2 * S^2, S^12 * R^4 * S^12 ] R227.13 : Type {48,120}_80 Order 1920 mV = 60 mF = 24 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, R^-14 * S^-1 * R * S^-1 * R^-1, S^10 * R^-7 * S^-1 * R * S^9 ] R227.14 : Type {48,120}_80 Order 1920 mV = 60 mF = 24 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^10 * R^-2 * S^5 * R^-2 * S^5 ] R227.15 : Type {60,80}_48 Order 1920 mV = 40 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 * S^-1 * R^-1 * S * R^5 * S^-1 * R^-3 * S^2 * R^-1 * S^-1 * R * S^2, R^-1 * S * R^-1 * S^3 * R^-2 * S * R^-4 * S^5 * R^-2 ] R227.16 : Type {60,80}_48 Order 1920 mV = 40 mF = 30 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^7 * S * R^-5, R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-5 * S * R^-2 * S^2, S^2 * R * S^-7 * R * S^7 ] R227.17 : Type {116,232}_8 Order 1856 mV = 116 mF = 29 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^-3 * S^55 * R^-1 * S^14 * R^-6 * S * R^-14 * S * R^-6 * S^15 ] R227.18 : Type {116,232}_8 Order 1856 mV = 116 mF = 58 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^73 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R227.19 : Type {455,910}_2 Order 1820 mV = 910 mF = 455 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^213 * T * R^18 * T * R^-1 * S * R^-221 ] R227.20 : Type {456,456}_2 Order 1824 mV = 456 mF = 456 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^437 * T * S^-2 * R * T * R^-12 * S^3 ] R227.21 : Type {456,456}_4 Order 1824 mV = 456 mF = 456 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^170 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R227.22 : Type {908,908}_2 Order 1816 mV = 908 mF = 908 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^221 * S^-1 * R * T * R^-18 * T * S^-212 * R ] Genus 228 R228.1 : Type {4,231}_462 Order 3696 mV = 77 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-231 ] R228.2 : Type {4,458}_916 Order 3664 mV = 229 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^458 ] R228.3 : Type {4,912}_912 Order 3648 mV = 912 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^228 * R^2 * S^228 ] R228.4 : Type {6,230}_690 Order 2760 mV = 115 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^230 ] R228.5 : Type {8,154}_616 Order 2464 mV = 77 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^154 ] R228.6 : Type {10,116}_580 Order 2320 mV = 58 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^116 ] R228.7 : Type {10,570}_114 Order 2280 mV = 570 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^57 * R * S^-1 * R * S^56 ] R228.8 : Type {12,184}_552 Order 2208 mV = 92 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^46 * R^-3 * S^-3 * T * R^-2 * S * R * T * S^42 ] R228.9 : Type {14,78}_546 Order 2184 mV = 39 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^78 ] R228.10 : Type {14,532}_76 Order 2128 mV = 532 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^38 * R * S^-2 * R * S^36 ] R228.11 : Type {16,132}_528 Order 2112 mV = 66 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^33 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S^26 ] R228.12 : Type {26,40}_520 Order 2080 mV = 20 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^40 ] R228.13 : Type {26,494}_38 Order 1976 mV = 494 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^19 * R * S^-5 * R * S^14 ] R228.14 : Type {28,72}_504 Order 2016 mV = 36 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^18 * R^-4 * S^2 * T * S^-3 * R^-3 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^5 ] R228.15 : Type {50,475}_38 Order 1900 mV = 475 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^8 * R^-6 * S^11 ] R228.16 : Type {60,96}_160 Order 1920 mV = 48 mF = 30 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^-1 * R^-1 * S * R^2 * S^3 * T * S^-1 * R^-1 * S^2 * R^-4 * S^2 * R^-1 * S^-1 * T * S^3 * R * S^-2 ] R228.17 : Type {116,464}_16 Order 1856 mV = 464 mF = 58 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^-7 * R^8 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R228.18 : Type {154,462}_6 Order 1848 mV = 462 mF = 77 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^96 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-16 ] R228.19 : Type {230,460}_4 Order 1840 mV = 460 mF = 115 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^172 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R228.20 : Type {231,231}_4 Order 1848 mV = 77 mF = 77 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^56 * S^-2 * R^14 * S^-1 * R * S^-153 * R^2 ] R228.21 : Type {457,914}_2 Order 1828 mV = 914 mF = 457 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^438 * T * S^-2 * R * T * R^-12 * S^2 * R^-1 ] R228.22 : Type {458,458}_2 Order 1832 mV = 458 mF = 458 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^439 * T * S^-2 * R * T * R^-12 * S^3 ] R228.23 : Type {912,912}_2 Order 1824 mV = 912 mF = 912 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^437 * T * S^-2 * R * T * R^-12 * S^2 * R^-1 ] Genus 229 R229.1 : Type {3,10}_18 Order 13680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S)^2, S^-1 * R^-1 * S^3 * R * S^-3 * R * S^-3 * R^-1 * S * R^-1 * S^5 * R * S^-1 * R * S^2 * R^-1 * S^-1 ] R229.2 : Type {3,10}_20 Order 13680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2, S^4 * R * S^-4 * R * S^-2 * R^2 * S^3 * R^-1 * S^4 * R^-1 * S^-2 * R * S ] R229.3 : Type {4,42}_24 Order 4032 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, (R * S^-6)^2, S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R229.4 : Type {4,80}_48 Order 3840 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, R * S^-6 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^7 ] R229.5 : Type {4,80}_48 Order 3840 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R229.6 : Type {4,156}_52 Order 3744 mV = 26 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^26 * R^2 * S * R^-1 * S^-1 * R * S^24 ] R229.7 : Type {4,232}_116 Order 3712 mV = 58 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^58 * R^2 * S * R^-1 * S^-1 * R * S^56 ] R229.8 : Type {4,232}_232 Order 3712 mV = 58 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^232 ] R229.9 : Type {4,460}_460 Order 3680 mV = 230 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^460 ] R229.10 : Type {4,916}_458 Order 3664 mV = 916 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^229 * R^2 * S^229 ] R229.11 : Type {6,60}_4 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2)^4, S * R^2 * S^-3 * R^2 * S^6 ] R229.12 : Type {6,60}_8 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R229.13 : Type {6,60}_12 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 * R * S^2 ] R229.14 : Type {6,60}_20 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-4 * R * S^-1 * R^2 * S^3 * R^-1 * S^-2, S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R229.15 : Type {6,60}_20 Order 2880 mV = 12 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-4 * R * S^5 ] R229.16 : Type {6,60}_24 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-4)^2 ] R229.17 : Type {6,60}_60 Order 2880 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^10 * R * S^-1 * R^2 * S^-1 * R * S^8 ] R229.18 : Type {6,60}_60 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^4 * R^-2 * S * R^-2 * S^7 ] R229.19 : Type {6,60}_60 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-4 * R^2 * S^5 * R^-1, R * S^-2 * R * S^-2 * R^-2 * S^-3 * R * S^-1 * R * S^2 ] R229.20 : Type {6,60}_60 Order 2880 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, 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 * S^-3 * R * S^7 ] R229.21 : Type {6,60}_60 Order 2880 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^60 ] R229.22 : Type {6,60}_60 Order 2880 mV = 20 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^60 ] R229.23 : Type {6,60}_120 Order 2880 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R229.24 : Type {6,60}_120 Order 2880 mV = 20 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^15 * R * S^-2 * R * S^13 ] R229.25 : Type {6,174}_116 Order 2784 mV = 58 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^29 * R^2 * S * R^-1 * S^-4 * R * S^24 ] R229.26 : Type {6,231}_462 Order 2772 mV = 77 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-231 ] R229.27 : Type {6,687}_458 Order 2748 mV = 687 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-115 * R^2 * S^-114 ] R229.28 : Type {8,28}_4 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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 * R^2)^2, (S^-1 * R^2 * S^-1)^3 ] R229.29 : Type {8,28}_4 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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 * R^2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1 ] R229.30 : Type {8,28}_6 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-2 * S^-1 * R^3 * S, (R * S^-1 * R)^4 ] R229.31 : Type {8,28}_12 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R)^4 ] R229.32 : Type {8,28}_16 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R229.33 : Type {8,28}_16 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R229.34 : Type {10,12}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^12 ] R229.35 : Type {10,12}_12 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-5 * R^5 * S^-1, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-1 * R^-1 * S * R^-3 * S * R^-1 * S^-1 * R * S^2 ] R229.36 : Type {10,12}_12 Order 2880 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^12 ] R229.37 : Type {10,12}_24 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-2 * R^3 * S^3 * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R229.38 : Type {10,12}_60 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, (R * S^-1 * R^2 * S^-1 * R^2)^2 ] R229.39 : Type {10,12}_60 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^-4 * S * R^3 * S * R^-4 * S ] R229.40 : Type {12,48}_24 Order 2304 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^-1 * S)^3, R^12, S^7 * R * S^-7 * R * S^2 ] R229.41 : Type {12,48}_24 Order 2304 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, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, R^12, S^7 * R * S^-7 * R * S^2 ] R229.42 : Type {12,48}_48 Order 2304 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^48 ] R229.43 : Type {12,48}_48 Order 2304 mV = 4 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^12 * R * S^-2 * R^2 * S^-2 * R * S^8 ] R229.44 : Type {12,48}_48 Order 2304 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-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 ] R229.45 : Type {12,48}_48 Order 2304 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S * R^-2 * S * R^4 * S^6 ] R229.46 : Type {12,48}_48 Order 2304 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, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^48 ] R229.47 : Type {12,48}_48 Order 2304 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, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^12 * R^-3 * S^-3 * R * S^3 * R^-2 * S^6 ] R229.48 : Type {12,48}_48 Order 2304 mV = 12 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, R^12, S * R * S^-1 * R^4 * S^2 * R^-3, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R229.49 : Type {12,48}_48 Order 2304 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^2 * S^2 * R^-1, R^12, S^-7 * R^-1 * S^7 * R^-1 * S^-2 ] R229.50 : Type {12,48}_48 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^3 * S * R^-1 * S^2 * R^-1, 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 ] R229.51 : Type {12,48}_48 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, 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^-3 * R^2 * S^4 * R^-1, S^-3 * R^5 * S^3 * R^-1 * S^-2 ] R229.52 : Type {12,48}_48 Order 2304 mV = 12 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^12 * R^2 * S * R^-2 * S^6 * R^-2 * S^5 ] R229.53 : Type {12,48}_48 Order 2304 mV = 12 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^13 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^5 ] R229.54 : Type {12,48}_48 Order 2304 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^48 ] R229.55 : Type {12,48}_48 Order 2304 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, (R * S^-1)^4, (R * S^-3)^2, R^12, S^12 * R^2 * S^2 * R^-1 * S^-3 * R * S^7 ] R229.56 : Type {12,48}_48 Order 2304 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, S^12 * R * S^-2 * R * S^10 ] R229.57 : Type {12,48}_48 Order 2304 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^12 * R^5 * S^-6 * R * S^6 ] R229.58 : Type {12,48}_48 Order 2304 mV = 16 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^-2 * R^2 * S^3 * R^-1, R^12, S^12 * R * S^-2 * R * S^10 ] R229.59 : Type {12,48}_48 Order 2304 mV = 16 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^48 ] R229.60 : Type {12,276}_92 Order 2208 mV = 138 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^46 * R * S^-3 * R * S^43 ] R229.61 : Type {16,24}_16 Order 2304 mV = 1 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, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R229.62 : Type {16,24}_16 Order 2304 mV = 1 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, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R229.63 : Type {16,24}_16 Order 2304 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)^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, S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R^2 * S * R^-1 ] R229.64 : Type {16,24}_16 Order 2304 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)^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, S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R ] R229.65 : Type {16,24}_16 Order 2304 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)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^16, R^-1 * S * R * S^-5 * R^-4 * S^-5 * R * S * R^-1 ] R229.66 : Type {16,24}_16 Order 2304 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)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-2 * R^2 * S^-1, S^-6 * R^-2 * S^5 * R^-1 * S^-1 * R ] R229.67 : Type {16,24}_16 Order 2304 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, 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, R^16 ] R229.68 : Type {16,24}_16 Order 2304 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, 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^2 * S^2 * R^-1 * S^-3, R^16 ] R229.69 : Type {18,45}_4 Order 2160 mV = 9 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, (R^-2 * S)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R229.70 : Type {18,45}_10 Order 2160 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^-4 * R * S^5, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2, S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R229.71 : Type {18,45}_60 Order 2160 mV = 15 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^2 * R * S^-11 * R * S^2 ] R229.72 : Type {24,168}_42 Order 2016 mV = 56 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^19 * S^-1 * R * S^-1 * R^2, S^21 * R^-1 * S^-9 * R * S^12 ] R229.73 : Type {24,168}_42 Order 2016 mV = 84 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^7 * S * R^-5, S^-1 * R * S^4 * R * S^-2 * R^3 * S^5 * R^-1 * S^-2, R^11 * S^-1 * R^2 * S^-3 * R * S^-4 * R^2 ] R229.74 : Type {24,168}_42 Order 2016 mV = 84 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^11 * S * R^-1 * S, S^21 * R^2 * S * R^-1 * S^-6 * R^-3 * S^14 ] R229.75 : Type {24,168}_84 Order 2016 mV = 56 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^19 * S^-1 * R * S^-1 * R^2, S^21 * R * S^-2 * R * S^19 ] R229.76 : Type {24,168}_84 Order 2016 mV = 84 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^7 * S * R^-5, S^-2 * R * S^4 * R * S^-2 * R^4 * S^-6 ] R229.77 : Type {24,168}_84 Order 2016 mV = 84 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^11 * S * R^-1 * S, S^21 * R^3 * S^-2 * R * S^5 * R^-2 * S^14 ] R229.78 : Type {28,84}_4 Order 2016 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R^-3 * S * R^-2 * S * R^-8 * S * R^-1 * S * R^-3 * S * R^-1 * S * R^-2 * S^2 ] R229.79 : Type {30,165}_66 Order 1980 mV = 55 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^2, S^-17 * R * S^9 * R^-1 * S^-7 ] R229.80 : Type {42,42}_6 Order 2016 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 * S^-1 * R^4 * S^-1 * R * S^-3, (R^3 * S^-1)^3, R * S^-1 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R ] R229.81 : Type {42,42}_12 Order 2016 mV = 7 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^7 * R^-1 * S^5 * R^-11 * S^6 * R^-1 * S^2 ] R229.82 : Type {48,240}_20 Order 1920 mV = 120 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^-1 * S * R^-9 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-10 * S ] R229.83 : Type {48,240}_20 Order 1920 mV = 120 mF = 24 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^11 * S^-1 * R^2 * S^-3 * R * S^-4 * R^2, S^-2 * R^-1 * S^8 * R^-3 * S^-10 ] R229.84 : Type {48,240}_40 Order 1920 mV = 120 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^4 * R^-2 * S^5 * R^-2 * S^11 ] R229.85 : Type {48,240}_40 Order 1920 mV = 120 mF = 24 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^11 * S^-1 * R^2 * S^-3 * R * S^-4 * R^2, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R229.86 : Type {60,120}_4 Order 1920 mV = 30 mF = 15 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^32 * S^-1 * R^3 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^10 * S^-2 * R * S^-3 * R ] R229.87 : Type {60,120}_4 Order 1920 mV = 40 mF = 10 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^2 * S^-6 * R * S^-4 * R^10 * S^-1 * R^4 * S^-1 * R ] R229.88 : Type {60,120}_8 Order 1920 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, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^17 * R^-1 * S * R^-3 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-11 * S * R^-7 * S * R^-6 ] R229.89 : Type {60,120}_8 Order 1920 mV = 40 mF = 10 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-10 * S * R^-3 * S * R^-3 * S^2 ] R229.90 : Type {80,80}_6 Order 1920 mV = 16 mF = 16 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^11 * S^-1 * R * S^-1 * R * S^-1 ] R229.91 : Type {80,80}_6 Order 1920 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S^-1 * R * S^-1 * R^4 * S * R^-1 * S^-1 * R * S^-1, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R229.92 : Type {80,80}_12 Order 1920 mV = 16 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^3 * R * S^-1 * R * S^3 * R^-1 ] R229.93 : Type {117,234}_4 Order 1872 mV = 78 mF = 39 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^97 * S^-2 * R^10 * S^-2 * R * S^-2 * R * S^-1 ] R229.94 : Type {156,156}_6 Order 1872 mV = 78 mF = 52 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^98 * R^-1 * S^14 * R^-6 * S * R^-14 * S * R^-6 * S^14 * R^-1 ] R229.95 : Type {156,156}_6 Order 1872 mV = 78 mF = 78 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^20 * S^-4 * R^5 * S^-1 * R^11 * S^-8 ] R229.96 : Type {232,232}_4 Order 1856 mV = 116 mF = 116 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^173 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S ] R229.97 : Type {232,232}_4 Order 1856 mV = 116 mF = 116 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^84 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R229.98 : Type {459,918}_2 Order 1836 mV = 918 mF = 459 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^440 * T * S^-2 * R * T * R^-11 * S * T * S^-1 * R^2 * T ] R229.99 : Type {460,460}_2 Order 1840 mV = 460 mF = 460 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^441 * T * S^-2 * R * T * R^-14 * S ] R229.100 : Type {916,916}_2 Order 1832 mV = 916 mF = 916 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^439 * T * S^-2 * R * T * R^-12 * S^2 * R^-1 ] Genus 230 R230.1 : Type {4,462}_924 Order 3696 mV = 231 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^462 ] R230.2 : Type {4,920}_920 Order 3680 mV = 920 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^230 * R^2 * S^230 ] R230.3 : Type {6,232}_696 Order 2784 mV = 116 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^232 ] R230.4 : Type {6,690}_230 Order 2760 mV = 690 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^115 * R^2 * S^115 ] R230.5 : Type {8,308}_616 Order 2464 mV = 154 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^77 * R^4 * S^3 * T * S^-2 * T * S^72 ] R230.6 : Type {12,94}_564 Order 2256 mV = 47 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^94 ] R230.7 : Type {12,552}_184 Order 2208 mV = 552 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^46 * R^2 * S^46 ] R230.8 : Type {20,104}_520 Order 2080 mV = 52 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^26 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^17 ] R230.9 : Type {22,48}_528 Order 2112 mV = 24 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^48 ] R230.10 : Type {22,506}_46 Order 2024 mV = 506 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^-1 * S * R^-1 * S * R^-18, S^23 * R^2 * S^23 ] R230.11 : Type {36,56}_504 Order 2016 mV = 28 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-9 * T * R^-4 * T * S^-5 * R^-5 * S^2 * T * S^-3 * R^-3 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R230.12 : Type {42,483}_46 Order 1932 mV = 483 mF = 21 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^8, S^-12 * R * S * R^-1 * S^-10 ] R230.13 : Type {60,160}_96 Order 1920 mV = 80 mF = 30 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^7 * S * R^-5, S^7 * R * S^-1 * R^-3 * S^2 * R^-1 * S^-4 * R^-1 * S^2 ] R230.14 : Type {68,238}_28 Order 1904 mV = 119 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^7 * R^-20 * S^7 ] R230.15 : Type {94,470}_10 Order 1880 mV = 470 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^-4 * R * S^5, R^51 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R230.16 : Type {186,465}_10 Order 1860 mV = 465 mF = 93 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^46 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R230.17 : Type {461,922}_2 Order 1844 mV = 922 mF = 461 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^442 * T * S^-2 * R * T * R^-12 * T * R^3 * T ] R230.18 : Type {462,462}_2 Order 1848 mV = 462 mF = 462 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^443 * T * S^-2 * R * T * R^-14 * S ] R230.19 : Type {920,920}_2 Order 1840 mV = 920 mF = 920 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^441 * T * S^-2 * R * T * R^-11 * S * T * S^-1 * R^2 * T ] Genus 231 R231.1 : Type {3,11}_8 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4 ] R231.2 : Type {3,11}_12 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S, S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1 ] R231.3 : Type {3,11}_22 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^2 * S^-2 * R * S^-3 * R * S^3 ] R231.4 : Type {3,11}_22 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^4 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S ] R231.5 : Type {3,11}_24 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] R231.6 : Type {3,46}_6 Order 6348 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^46 ] R231.7 : Type {4,234}_234 Order 3744 mV = 78 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^234 ] R231.8 : Type {4,464}_464 Order 3712 mV = 232 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^116 * R * S^-1 * R * S^115 ] R231.9 : Type {4,464}_464 Order 3712 mV = 232 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^464 ] R231.10 : Type {4,924}_462 Order 3696 mV = 924 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^231 * R^2 * S^231 ] R231.11 : Type {8,156}_78 Order 2496 mV = 52 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^39 * R^3 * S^-6 * R * S^33 ] R231.12 : Type {8,156}_156 Order 2496 mV = 52 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^39 * R * S^-2 * R * S^37 ] R231.13 : Type {8,156}_312 Order 2496 mV = 39 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^156 ] R231.14 : Type {8,156}_312 Order 2496 mV = 78 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^156 ] R231.15 : Type {8,616}_154 Order 2464 mV = 616 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^77 * R^2 * S^77 ] R231.16 : Type {8,616}_308 Order 2464 mV = 616 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^77 * R * S^-2 * R * S^75 ] R231.17 : Type {10,60}_20 Order 2400 mV = 20 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, (R * S^-1 * R^3)^2, (S * R^-2 * S * R^-1)^3 ] R231.18 : Type {15,20}_20 Order 2400 mV = 2 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-3 * R * S^-2)^2, R * S^-4 * R^4 * S^6 ] R231.19 : Type {15,20}_20 Order 2400 mV = 4 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^-4 * R * S^5, S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 ] R231.20 : Type {16,68}_272 Order 2176 mV = 17 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^68 ] R231.21 : Type {16,68}_272 Order 2176 mV = 34 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^68 ] R231.22 : Type {16,528}_66 Order 2112 mV = 528 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^16, S^33 * R^2 * S^33 ] R231.23 : Type {16,528}_132 Order 2112 mV = 528 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^16, S^33 * R * S^-4 * R * S^29 ] R231.24 : Type {21,70}_6 Order 2100 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-4 * R^-3 * S^-6 ] R231.25 : Type {23,46}_46 Order 2116 mV = 23 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^-23 ] R231.26 : Type {24,44}_264 Order 2112 mV = 11 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^11 * S * R^-1 * S, S^44 ] R231.27 : Type {24,44}_264 Order 2112 mV = 22 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^44 ] R231.28 : Type {28,126}_18 Order 2016 mV = 42 mF = 7 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, R^9 * S^-2 * R * S^-2, S^7 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^8 ] R231.29 : Type {36,63}_56 Order 2016 mV = 21 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-1 * R^-1 * S * R^-4 * S^4 * R^-1 * S^-1 ] R231.30 : Type {46,483}_42 Order 1932 mV = 483 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^10 * R^-2 * S^11 ] R231.31 : Type {60,240}_16 Order 1920 mV = 120 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, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, R^-3 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-2 * S * R^-1 * S * R^-1 * S^4 * R^-2 * S^4 * R^-9 * S * R^-5 * S * R^-8 ] R231.32 : Type {60,240}_16 Order 1920 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 ] R231.33 : Type {68,476}_14 Order 1904 mV = 476 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^6 * R * S^-6 * R * S^2, R^25 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R231.34 : Type {80,120}_48 Order 1920 mV = 60 mF = 40 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^-4 * R^2 * S^-1 * R^-4 * S^-1 * R * S^6, R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-5 * S * R^-2 * S^2 ] R231.35 : Type {80,120}_48 Order 1920 mV = 60 mF = 40 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^-5 * R * S^6, R * S^-1 * R^-9 * S^-1 * R^6, R^-1 * S^2 * R^-1 * S^3 * R^-2 * S * R^-7 * S^2 * R^-1 ] R231.36 : Type {86,473}_22 Order 1892 mV = 473 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^-8 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^6 * S^-4 ] R231.37 : Type {95,190}_10 Order 1900 mV = 95 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^6 * S * R^-4, R^37 * S^-14 * R^6 * S^-1 * R^13 * S^-3 * R^5 * S^-16 ] R231.38 : Type {134,469}_14 Order 1876 mV = 469 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^6 * R * S^-6 * R * S^2, S^-6 * R^18 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R231.39 : Type {234,234}_4 Order 1872 mV = 78 mF = 78 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^155 * R^-1 * S * R^-14 * S^2 * R^-58 * S ] R231.40 : Type {310,465}_6 Order 1860 mV = 465 mF = 155 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^111 * S^-1 * R * S^-1 * R^3 * S^-1 * T * R^-1 * S * R^-8 * S * R^-1 * T * S^-1 * R^3 * S^-1 * R * S^-1 * R^15 * S^-1 ] R231.41 : Type {463,926}_2 Order 1852 mV = 926 mF = 463 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^444 * T * S^-2 * R * T * R^-12 * T * R^3 * T ] R231.42 : Type {464,464}_2 Order 1856 mV = 464 mF = 464 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^445 * T * S^-2 * R * T * R^-14 * S ] R231.43 : Type {464,464}_4 Order 1856 mV = 464 mF = 464 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^174 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-16 ] R231.44 : Type {924,924}_2 Order 1848 mV = 924 mF = 924 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^443 * T * S^-2 * R * T * R^-12 * T * R^3 * T ] Genus 232 R232.1 : Type {3,39}_14 Order 6552 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-4 * R * S^-3 * R^-1 * S^7 * R^-1 * S^-2 ] R232.2 : Type {4,70}_20 Order 3920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^4 * R^-1 * S * R * S^-1 * R^-2 * S^8 ] R232.3 : Type {4,466}_932 Order 3728 mV = 233 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^466 ] R232.4 : Type {4,928}_928 Order 3712 mV = 928 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^232 * R^2 * S^232 ] R232.5 : Type {5,8}_24 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R232.6 : Type {5,8}_44 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S * R^-2 * S * R^-1)^3 ] R232.7 : Type {6,80}_80 Order 2880 mV = 20 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^80 ] R232.8 : Type {6,234}_234 Order 2808 mV = 78 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^234 ] R232.9 : Type {6,234}_234 Order 2808 mV = 117 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^234 ] R232.10 : Type {6,696}_232 Order 2784 mV = 696 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^116 * R * S^-1 * R * S^115 ] R232.11 : Type {10,118}_590 Order 2360 mV = 59 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^118 ] R232.12 : Type {10,580}_116 Order 2320 mV = 580 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^58 * R * S^-2 * R * S^56 ] R232.13 : Type {12,42}_4 Order 2352 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^-7 * R^4 * S^-7 ] R232.14 : Type {12,64}_64 Order 2304 mV = 16 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^16 * R^3 * S^-1 * R * S^5 * R^-1 * S^-2 * R * S^8 ] R232.15 : Type {18,60}_180 Order 2160 mV = 30 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, (R * S^-1 * R^4)^2, R^18, S^10 * R * S^-3 * R * S^7 ] R232.16 : Type {18,60}_180 Order 2160 mV = 30 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^60 ] R232.17 : Type {18,522}_58 Order 2088 mV = 522 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^-1 * S * R^-15 * S, S^29 * R * S^-1 * R * S^28 ] R232.18 : Type {34,493}_58 Order 1972 mV = 493 mF = 17 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^4, S^-15 * R * S^6 * R^-1 * S^-8 ] R232.19 : Type {42,56}_8 Order 2016 mV = 14 mF = 7 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^-3 * R * S^4, S^-1 * R^7 * S^-3 * R * S^-2, R^3 * S^-1 * R^4 * S^-1 * R^3 * S^-2 ] R232.20 : Type {60,480}_32 Order 1920 mV = 480 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^-7 * R^14 * S^-9 ] R232.21 : Type {70,70}_14 Order 1960 mV = 35 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, R * S^-1 * R^-8 * S^-1 * R^5, R^4 * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-15 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-16 ] R232.22 : Type {70,70}_14 Order 1960 mV = 35 mF = 35 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^-13 * S^-1, S * R * S^-11 * R * S^2 ] R232.23 : Type {118,472}_8 Order 1888 mV = 472 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^-3 * R * S^4, R^75 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R232.24 : Type {234,468}_4 Order 1872 mV = 468 mF = 117 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^191 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^17 ] R232.25 : Type {465,930}_2 Order 1860 mV = 930 mF = 465 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^446 * T * S^-2 * R * T * R^-11 * S * T * R * S^-1 * R * T ] R232.26 : Type {466,466}_2 Order 1864 mV = 466 mF = 466 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^447 * T * S^-2 * R * T * R^-14 * S ] R232.27 : Type {928,928}_2 Order 1856 mV = 928 mF = 928 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^445 * T * S^-2 * R * T * R^-11 * S * T * R * S^-1 * R * T ] Genus 233 R233.1 : Type {4,120}_60 Order 3840 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^30 * R^2 * S * R^-1 * S^-1 * R * S^28 ] R233.2 : Type {4,120}_60 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^30 * R^2 * S^2 * R^-1 * S^-1 * R * S^27 ] R233.3 : Type {4,120}_60 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^30 * R * S^-5 * R * S^25 ] R233.4 : Type {4,120}_120 Order 3840 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^30 * R^2 * S * R^-1 * S^-5 * R * S^24 ] R233.5 : Type {4,120}_120 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^120 ] R233.6 : Type {4,120}_120 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^30 * R * S^-5 * R * S^25 ] R233.7 : Type {4,120}_120 Order 3840 mV = 30 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^120 ] R233.8 : Type {4,120}_120 Order 3840 mV = 30 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^30 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^21 ] R233.9 : Type {4,236}_236 Order 3776 mV = 59 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^236 ] R233.10 : Type {4,468}_468 Order 3744 mV = 234 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^468 ] R233.11 : Type {4,932}_466 Order 3728 mV = 932 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^233 * R^2 * S^233 ] R233.12 : Type {6,32}_96 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^32 ] R233.13 : Type {6,177}_236 Order 2832 mV = 59 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-30 * R^2 * S^-6 * R * S * R^-3 * S^-22 ] R233.14 : Type {6,699}_466 Order 2796 mV = 699 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-117 * R * S * R^-1 * S^-115 ] R233.15 : Type {8,80}_20 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R233.16 : Type {8,80}_40 Order 2560 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^10 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^6 ] R233.17 : Type {8,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^20 * R * S^-3 * R * S^17 ] R233.18 : Type {8,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^-3 * R * S^17 ] R233.19 : Type {8,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 * R^2 * S * R^-2 * S * R^-1 * S^-3 * R^-1 * S^15 ] R233.20 : Type {8,80}_80 Order 2560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^20 * R * S^-2 * R^2 * S^-2 * R * S^16 ] R233.21 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, 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^80 ] R233.22 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, 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^20 * R^2 * S^2 * R^-1 * S^-3 * R * S^15 ] R233.23 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^80 ] R233.24 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, 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^20 * R^4 * S^20 ] R233.25 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, 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^20 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^13 ] R233.26 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^20 * R * S^-3 * R * S^17 ] R233.27 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^20 * R * S^-3 * R * S^17 ] R233.28 : Type {8,80}_80 Order 2560 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^20 * R^4 * S^20 ] R233.29 : Type {8,312}_156 Order 2496 mV = 156 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^78 * R * S^-1 * R * S^77 ] R233.30 : Type {8,312}_156 Order 2496 mV = 156 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^78 * R^4 * S^3 * T * S^-2 * T * S^73 ] R233.31 : Type {12,14}_8 Order 2688 mV = 1 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, (R * S^-2)^4, S^14, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R233.32 : Type {12,14}_14 Order 2688 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^4 * S^2 * R^-2, S^-3 * R * S^-1 * R^3 * S^-1 * R * S^-3 * R, S^2 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^2 ] R233.33 : Type {12,14}_16 Order 2688 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 * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S, (R * S^-6)^2 ] R233.34 : Type {12,14}_28 Order 2688 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R233.35 : Type {12,188}_282 Order 2256 mV = 94 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^47 * R^-3 * S^-3 * T * R^-2 * S * R * T * S^43 ] R233.36 : Type {20,28}_140 Order 2240 mV = 7 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, R^20, S^28 ] R233.37 : Type {20,260}_52 Order 2080 mV = 130 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 * R^-17 * S, S^26 * R * S^-5 * R * S^21 ] R233.38 : Type {28,252}_36 Order 2016 mV = 126 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^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^18 * R * S^-3 * R * S^15 ] R233.39 : Type {32,64}_64 Order 2048 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, R^13 * S^-1 * R * S^-1, S^16 * R^2 * S * R^-2 * S^15 ] R233.40 : Type {32,64}_64 Order 2048 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 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-2 * S, S^16 * R^-1 * S^-8 * R * S^8 ] R233.41 : Type {32,64}_64 Order 2048 mV = 32 mF = 16 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^-14 * S^-1 * R * S^-1 * R^-1, S^16 * R * S^-1 * R * S^15 ] R233.42 : Type {32,64}_64 Order 2048 mV = 32 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^-16 * R^-5 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R233.43 : Type {80,240}_12 Order 1920 mV = 120 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^-6 * R^-1 * S^5 * R^-1 * S^-1, S^-24 * R^13 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R233.44 : Type {80,240}_12 Order 1920 mV = 120 mF = 40 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^-3 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-11 * S * R^-7 * S * R^-5 ] R233.45 : Type {80,240}_24 Order 1920 mV = 120 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^-2 * R^-1 * S^11 * R^-1 * S^-11, S^6 * R^-2 * S * R^-20 * S * R^-1 * S * R^-3 * S^5 ] R233.46 : Type {80,240}_24 Order 1920 mV = 120 mF = 40 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^-5 * R * S^6, R^-3 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-11 * S * R^-7 * S * R^-5 ] R233.47 : Type {96,160}_30 Order 1920 mV = 80 mF = 48 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^7 * S * R^-5, S^-3 * R^2 * S^-1 * R^-3 * S^4 * R^-1 * S^-2, R^9 * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-4 * R^2 * S^-1 ] R233.48 : Type {96,160}_60 Order 1920 mV = 80 mF = 48 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^7 * S * R^-5, S^-3 * R^6 * S^-7 ] R233.49 : Type {120,120}_4 Order 1920 mV = 30 mF = 30 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^-1 * R^88 * S^-2 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R233.50 : Type {120,120}_4 Order 1920 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^99 * S^-4 * R^10 * S^-2 * R * S^-4 ] R233.51 : Type {120,120}_4 Order 1920 mV = 40 mF = 40 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^-2 * S^2 * R^-8 * S^4 * R^-2 * S^2 * R^-10 * S * R^-2 * S * R^-2 * S^24 ] R233.52 : Type {120,120}_8 Order 1920 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^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^-1 * S^15 * R^-1 * S * R^-3 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-11 * S * R^-7 * S * R^-5 * S ] R233.53 : Type {120,120}_8 Order 1920 mV = 30 mF = 30 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^-2 * R^26 * S^-6 * R^3 * S^-1 * R^9 * S^-2 * R * S^-3 * R * S^-1 * R^2 * S^-1 ] R233.54 : Type {120,120}_8 Order 1920 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 * R^-2, S * R * S^-2 * R * S^3, S^-1 * R^36 * S^-1 * R * S^-1 * R^3 * S^-2 * R^7 * S^-1 * R * S^-1 * R^2 * S^-3 ] R233.55 : Type {120,120}_8 Order 1920 mV = 40 mF = 40 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^-43 * S * R^-3 * S * R^-7 * S * R^-3 * S ] R233.56 : Type {120,120}_8 Order 1920 mV = 60 mF = 30 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^60 * S^-14 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-15 * R ] R233.57 : Type {120,120}_8 Order 1920 mV = 60 mF = 60 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^17 * R^-1 * S * R^-3 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-11 * S * R^-5 * S * R^-8 ] R233.58 : Type {236,236}_4 Order 1888 mV = 118 mF = 118 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^193 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^17 ] R233.59 : Type {467,934}_2 Order 1868 mV = 934 mF = 467 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^221 * R^-2 * S * R^-1 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S^2 * R^-224 ] R233.60 : Type {468,468}_2 Order 1872 mV = 468 mF = 468 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^225 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R^2 * S^-221 * R ] R233.61 : Type {932,932}_2 Order 1864 mV = 932 mF = 932 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^447 * T * S^-2 * R * T * R^-11 * S * T * R * S^-1 * R * T ] Genus 234 R234.1 : Type {4,237}_474 Order 3792 mV = 79 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-237 ] R234.2 : Type {4,470}_940 Order 3760 mV = 235 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^470 ] R234.3 : Type {4,936}_936 Order 3744 mV = 936 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^234 * R^2 * S^234 ] R234.4 : Type {6,236}_708 Order 2832 mV = 118 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^236 ] R234.5 : Type {8,158}_632 Order 2528 mV = 79 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^158 ] R234.6 : Type {10,585}_234 Order 2340 mV = 585 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-59 * R * S * R^-1 * S^-57 ] R234.7 : Type {12,282}_188 Order 2256 mV = 141 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^47 * R * S^-1 * R * S^46 ] R234.8 : Type {14,80}_560 Order 2240 mV = 40 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^80 ] R234.9 : Type {14,546}_78 Order 2184 mV = 546 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^39 * R * S^-3 * R * S^36 ] R234.10 : Type {20,54}_540 Order 2160 mV = 27 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^54 ] R234.11 : Type {20,520}_104 Order 2080 mV = 520 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 * R^-17 * S, S^26 * R^2 * S^26 ] R234.12 : Type {28,38}_532 Order 2128 mV = 19 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^38 ] R234.13 : Type {28,504}_72 Order 2016 mV = 504 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^2 * S^-1 * R^20 * S^-1 * R * S^-2 * R, S^18 * R^-1 * S^-11 * R * S^7 ] R234.14 : Type {30,102}_170 Order 2040 mV = 51 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^17 * R * S^-1 * R * S^16 ] R234.15 : Type {38,494}_26 Order 1976 mV = 494 mF = 19 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^6, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R234.16 : Type {74,481}_26 Order 1924 mV = 481 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^-7 * R^21 * S^-1 * R * S^-7 ] R234.17 : Type {106,477}_18 Order 1908 mV = 477 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-7 * R^4 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^14 * S^-2 ] R234.18 : Type {158,474}_6 Order 1896 mV = 474 mF = 79 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^115 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R234.19 : Type {236,472}_8 Order 1888 mV = 472 mF = 118 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^72 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R234.20 : Type {237,237}_4 Order 1896 mV = 79 mF = 79 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^59 * S^-2 * R^14 * S^-1 * R * S^-156 * R^2 ] R234.21 : Type {314,471}_6 Order 1884 mV = 471 mF = 157 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^112 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R234.22 : Type {469,938}_2 Order 1876 mV = 938 mF = 469 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^221 * R^-2 * S * R^-1 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S^2 * R^-226 ] R234.23 : Type {470,470}_2 Order 1880 mV = 470 mF = 470 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^224 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R^2 * S^-225 ] R234.24 : Type {936,936}_2 Order 1872 mV = 936 mF = 936 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^225 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R^2 * S^-222 ] Genus 235 R235.1 : Type {3,8}_26 Order 22464 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-1 * S * R^-1 * S^-4 * R * S^-1 * R * S^4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-4 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R235.2 : Type {3,78}_6 Order 6084 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-14 * R^-1 * S^25 * R^-1 * S^-13 ] R235.3 : Type {4,17}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-3 * R * S * R^-1 * S^2 ] R235.4 : Type {4,30}_8 Order 4320 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, 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^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R ] R235.5 : Type {4,30}_8 Order 4320 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-4 * R * S^5, 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^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^-2 ] R235.6 : Type {4,56}_168 Order 4032 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^56 ] R235.7 : Type {4,56}_168 Order 4032 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^13 * R * S^-1 * R * S^2 * R^-1 * S^-6 * R * S^2 * R^-1 * S^-2 * R * S^2 ] R235.8 : Type {4,108}_54 Order 3888 mV = 27 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^27 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^22 ] R235.9 : Type {4,472}_472 Order 3776 mV = 236 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^118 * R * S^-1 * R * S^117 ] R235.10 : Type {4,472}_472 Order 3776 mV = 236 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^472 ] R235.11 : Type {4,940}_470 Order 3760 mV = 940 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^235 * R^2 * S^235 ] R235.12 : Type {5,12}_8 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^5, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-2 ] R235.13 : Type {6,81}_162 Order 2916 mV = 27 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-81 ] R235.14 : Type {6,81}_162 Order 2916 mV = 27 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1, S^-14 * R^-1 * S * R^-2 * S^4 * R^-3 * S^-3 * R * S^2 * R * S^-3 ] R235.15 : Type {6,81}_162 Order 2916 mV = 27 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1, S^-15 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-7 ] R235.16 : Type {6,120}_30 Order 2880 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-1 * S^2 * R^2 * S^6 ] R235.17 : Type {6,120}_30 Order 2880 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^15 * R * S^-1 * R^2 * S^-5 * R * S^9 ] R235.18 : Type {6,120}_60 Order 2880 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S^3 * R * S^-1 * R^2 * S^-6 ] R235.19 : Type {6,120}_60 Order 2880 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^15 * R^2 * S^2 * R^-1 * S^-1 * R * S^12 ] R235.20 : Type {6,237}_474 Order 2844 mV = 79 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-237 ] R235.21 : Type {6,705}_470 Order 2820 mV = 705 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-118 * R^2 * S^-117 ] R235.22 : Type {8,20}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-3 * R^-2 * S^-1 * R^3 * S ] R235.23 : Type {8,20}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-2 * S^-1 * R^3 * S, R * S^-3 * R^3 * S^-3 * R * S^-1 ] R235.24 : Type {8,20}_10 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^2 * R * S^-1 * R^2 * S^-2 * R^-1 * S * R^-1 * S^-1 * R^3 * S ] R235.25 : Type {8,20}_10 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^4 * S^2 * R^-2 * S^-1, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R235.26 : Type {8,20}_16 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S * R * S^-4 * R * S^5, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S ] R235.27 : Type {8,20}_16 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S * R * S^-4 * R * S^5, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R ] R235.28 : Type {8,20}_120 Order 2880 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^6, S^20 ] R235.29 : Type {8,20}_120 Order 2880 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^20 ] R235.30 : Type {8,72}_18 Order 2592 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^9 * R^2 * S * R^-1 * S^-2 * R^2 * S^-1 * R * S^5 ] R235.31 : Type {8,72}_36 Order 2592 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^9 * R^-2 * S * R^-1 * S^-2 * R^2 * S^-1 * R * S^5 ] R235.32 : Type {9,36}_8 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S * R * S^-2 * R^3 * S^3 * R^-2 ] R235.33 : Type {9,36}_24 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, R^2 * S^-2 * R^-3 * S^-2 * R^2 * S^2 ] R235.34 : Type {9,36}_24 Order 2592 mV = 6 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-5 * R^-2 * S^-5 * R, S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S^-1 * R * S * R^-1 * S ] R235.35 : Type {9,36}_24 Order 2592 mV = 6 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^4 * R * S^-1 * R^2 * S^4 * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-3 ] R235.36 : Type {9,36}_72 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ R^9, 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 * S^-1 * R * S^3 * R^-1 * S ] R235.37 : Type {10,22}_4 Order 2640 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, 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 * R^3)^2, (R * S^-1)^6, (S^-2 * R * S^-1)^3 ] R235.38 : Type {10,22}_10 Order 2640 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (S^-1 * R)^5, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2 ] R235.39 : Type {12,18}_6 Order 2592 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^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12 ] R235.40 : Type {12,18}_6 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2 ] R235.41 : Type {12,18}_6 Order 2592 mV = 6 mF = 1 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^2 * R^-2 * S^2 * R^-4 * S * R^-2 * S * R^-4 ] R235.42 : Type {12,18}_6 Order 2592 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^12, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R235.43 : Type {12,18}_8 Order 2592 mV = 2 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^12, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^-4 ] R235.44 : Type {12,18}_18 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R)^2, R^12, S * R * S^-1 * R^4 * S^-1 * R * S^3 ] R235.45 : Type {12,18}_18 Order 2592 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, R^12, R * S^-1 * R^5 * S * R^-2 * S^-2, S^18 ] R235.46 : Type {12,18}_18 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^12, S^18 ] R235.47 : Type {12,18}_18 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-3 * R)^2, R^12 ] R235.48 : Type {12,18}_18 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, R^12, S^18 ] R235.49 : Type {12,18}_18 Order 2592 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^12, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R235.50 : Type {12,18}_24 Order 2592 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^-5 * R^-2 * S * R^-2 * S^-3, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R235.51 : Type {12,18}_24 Order 2592 mV = 6 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^-2 * R^-4 * S^-2 * R * S^-1 * R, R^12, R^2 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 ] R235.52 : Type {12,18}_24 Order 2592 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^3 * R^-6 * S^6, R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 ] R235.53 : Type {12,18}_72 Order 2592 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^3 * R^-6 * S^6, R^-1 * S^2 * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R235.54 : Type {12,18}_72 Order 2592 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^3 * R^-6 * S^6, S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R235.55 : Type {12,96}_96 Order 2304 mV = 16 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^24 * R * S^-5 * R * S^19 ] R235.56 : Type {12,96}_96 Order 2304 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^96 ] R235.57 : Type {12,96}_96 Order 2304 mV = 48 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^12, S^7 * R * S^-1 * R * S^8 ] R235.58 : Type {12,96}_96 Order 2304 mV = 48 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^16 * R * S^-3 * R * S^13 ] R235.59 : Type {12,96}_96 Order 2304 mV = 48 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^24 * R * S^-1 * R * S^23 ] R235.60 : Type {12,96}_96 Order 2304 mV = 48 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^96 ] R235.61 : Type {12,564}_94 Order 2256 mV = 564 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^47 * R * S^-4 * R * S^43 ] R235.62 : Type {16,136}_272 Order 2176 mV = 68 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^34 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S^27 ] R235.63 : Type {16,136}_272 Order 2176 mV = 68 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^34 * R * S^-1 * R * S^33 ] R235.64 : Type {18,90}_10 Order 2160 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 * S^-4 * R * S^5, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2, R^-1 * S * R^-2 * S * R^-1 * S * R^-8 * S * R^-2 ] R235.65 : Type {20,60}_6 Order 2160 mV = 15 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 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^-2 * S^2 * R^-1 * S^3 * R^-9 * S * R^-2 ] R235.66 : Type {20,60}_6 Order 2160 mV = 15 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 * R * S^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^3 * R^-10 * S^3 * R^-1 * S^2 ] R235.67 : Type {22,517}_94 Order 2068 mV = 517 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^-1 * S * R^-1 * S * R^-18, S^-24 * R * S^7 * R^-1 * S^-16 ] R235.68 : Type {36,126}_56 Order 2016 mV = 42 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-1 * S * R * S^-1 * R^-3 * S^5 * R^-1 ] R235.69 : Type {39,78}_26 Order 2028 mV = 39 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^-1 * S * R^14 * S * R^-11, R^5 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-7 * R^2 ] R235.70 : Type {42,84}_6 Order 2016 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^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^7 * S^-1 * R * S^-1 * R * S^-1 * R ] R235.71 : Type {42,84}_6 Order 2016 mV = 21 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^19 * S^-1 * R^13 * S^-1 * R * S^-1 * R^2 * S^-3 * R ] R235.72 : Type {42,84}_24 Order 2016 mV = 14 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^-1 * R * S^3 * R^-1 * S, R^-2 * S^2 * R^-2 * S * R^-1 * S * R^-6 * S^6 ] R235.73 : Type {56,56}_6 Order 2016 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^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-3 * R^25 * S^-7 * R^10 * S^-2 * R * S^-3 * R * S^-1 * R^3 ] R235.74 : Type {56,56}_12 Order 2016 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^3, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 * R * S^-3 * R * S^-1 * R * S^-1 * R^2 ] R235.75 : Type {96,480}_10 Order 1920 mV = 480 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^-4 * R * S^5, R^53 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R235.76 : Type {96,480}_20 Order 1920 mV = 480 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^-2 * R^-1 * S^9 * R^-1 * S^-9, S^-7 * R^2 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^10 * S^-3 ] R235.77 : Type {108,108}_6 Order 1944 mV = 27 mF = 27 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 * R^23 * S^-7 * R^10 * S^-2 * R * S^-3 * R * S^-1 * R * S^-2 ] R235.78 : Type {108,108}_6 Order 1944 mV = 27 mF = 27 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S * R^-3 * S * R^-4 * S * R^-2 * S^2 * R^-1 * S^2 ] R235.79 : Type {120,240}_16 Order 1920 mV = 120 mF = 60 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^-8 * R^9 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R235.80 : Type {120,240}_16 Order 1920 mV = 120 mF = 60 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^-3 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-2 * S * R^-1 * S * R^-1 * S^4 * R^-2 * S^4 * R^-9 * S * R^-7 * S * R^-6 ] R235.81 : Type {159,318}_6 Order 1908 mV = 159 mF = 53 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^101 * S^-14 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-16 ] R235.82 : Type {471,942}_2 Order 1884 mV = 942 mF = 471 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^226 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R^2 * S^-223 * R ] R235.83 : Type {472,472}_2 Order 1888 mV = 472 mF = 472 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^226 * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R * S^-226 * R ] R235.84 : Type {472,472}_4 Order 1888 mV = 472 mF = 472 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^192 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^16 * S^-1 ] R235.85 : Type {940,940}_2 Order 1880 mV = 940 mF = 940 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^224 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R^2 * S^-224 * R ] Genus 236 R236.1 : Type {4,474}_948 Order 3792 mV = 237 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^474 ] R236.2 : Type {4,944}_944 Order 3776 mV = 944 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^236 * R^2 * S^236 ] R236.3 : Type {6,238}_714 Order 2856 mV = 119 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^238 ] R236.4 : Type {6,708}_236 Order 2832 mV = 708 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^118 * R^2 * S^118 ] R236.5 : Type {8,81}_324 Order 2592 mV = 27 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-81 ] R236.6 : Type {8,316}_632 Order 2528 mV = 158 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^79 * R^4 * S^3 * T * S^-2 * T * S^74 ] R236.7 : Type {10,120}_120 Order 2400 mV = 24 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^120 ] R236.8 : Type {10,120}_120 Order 2400 mV = 60 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^12 * R * S^-1 * R * S^11 ] R236.9 : Type {10,120}_120 Order 2400 mV = 60 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^120 ] R236.10 : Type {10,590}_118 Order 2360 mV = 590 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^59 * R * S^-3 * R * S^56 ] R236.11 : Type {12,40}_24 Order 2400 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^3 * S^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^2 * R^-1 * S * R^4 * S * R^-1 * S^4 ] R236.12 : Type {12,40}_24 Order 2400 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^2 * S^-1 * R^2 * S^6 ] R236.13 : Type {18,531}_118 Order 2124 mV = 531 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^-1 * S * R^-15 * S, S^-30 * R * S^7 * R^-1 * S^-22 ] R236.14 : Type {30,170}_102 Order 2040 mV = 85 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^17 * R * S^-1 * R * S^16 ] R236.15 : Type {50,100}_20 Order 2000 mV = 20 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^12 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^12 ] R236.16 : Type {50,100}_20 Order 2000 mV = 50 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^-1 * S * R^11 * S * R^-8, R^6 * S^-3 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-11 * R^2 ] R236.17 : Type {56,63}_36 Order 2016 mV = 21 mF = 14 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^3 * R^-1, R^9 * S^-2 * R * S^-2, R^-1 * S * R * S^-4 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R236.18 : Type {238,476}_4 Order 1904 mV = 476 mF = 119 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^179 * R^-16 * S * R^-1 * S * R^-1 * S * R^-1 * S * T * R^10 * S^-1 * R * T * R^-2 * S * R^-1 * S * R^-1 * S * R^-16 * S ] R236.19 : Type {473,946}_2 Order 1892 mV = 946 mF = 473 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^227 * R^-1 * S * R^-1 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * R^-225 * S ] R236.20 : Type {474,474}_2 Order 1896 mV = 474 mF = 474 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^227 * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R * S^-228 ] R236.21 : Type {944,944}_2 Order 1888 mV = 944 mF = 944 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^226 * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R * S^-227 ] Genus 237 R237.1 : Type {4,240}_240 Order 3840 mV = 60 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^240 ] R237.2 : Type {4,240}_240 Order 3840 mV = 60 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^60 * R^2 * S * R^-1 * S^-1 * R * S^58 ] R237.3 : Type {4,240}_240 Order 3840 mV = 80 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^240 ] R237.4 : Type {4,240}_240 Order 3840 mV = 80 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^60 * R * S^-2 * R * S^58 ] R237.5 : Type {4,476}_476 Order 3808 mV = 238 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^476 ] R237.6 : Type {4,948}_474 Order 3792 mV = 948 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^237 * R^2 * S^237 ] R237.7 : Type {8,42}_42 Order 2688 mV = 7 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^42 ] R237.8 : Type {8,42}_42 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^42 ] R237.9 : Type {8,42}_84 Order 2688 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^42 ] R237.10 : Type {8,42}_84 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^-11 * R^2 * S^-1 * R^2 * S^-1 * R * S^6 * R * S^-2 ] R237.11 : Type {8,42}_168 Order 2688 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^42 ] R237.12 : Type {8,160}_160 Order 2560 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, 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^40 * R^3 * S^-2 * R * S^38 ] R237.13 : Type {8,160}_160 Order 2560 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, 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^40 * R^4 * S^40 ] R237.14 : Type {8,160}_160 Order 2560 mV = 40 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^40 * R^2 * S^2 * R^-1 * S^-3 * R * S^35 ] R237.15 : Type {8,160}_160 Order 2560 mV = 40 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^160 ] R237.16 : Type {8,160}_160 Order 2560 mV = 80 mF = 2 Defining relations for automorphism group: [ R^8, 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^40 * R * S^-1 * R * S^39 ] R237.17 : Type {8,160}_160 Order 2560 mV = 80 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^160 ] R237.18 : Type {8,632}_158 Order 2528 mV = 632 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^79 * R * S^-2 * R * S^77 ] R237.19 : Type {8,632}_316 Order 2528 mV = 632 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^79 * R^2 * S^79 ] R237.20 : Type {14,553}_158 Order 2212 mV = 553 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^-40 * R * S * R^-1 * S^-38 ] R237.21 : Type {16,36}_72 Order 2304 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 * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2, S^4 * R^-2 * S * R^-2 * S * R^-2 * S^3 ] R237.22 : Type {16,36}_72 Order 2304 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 * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-5 ] R237.23 : Type {16,36}_144 Order 2304 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 * R^2 * S^2 * R^-1 * S^-1, R^16, S^9 * R^-7 * S^-6 * R^-1 * S^3 ] R237.24 : Type {16,36}_144 Order 2304 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^9 * R^2 * S^2 * R^-1 * S^-1 * R * S^6 ] R237.25 : Type {16,36}_144 Order 2304 mV = 9 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^36 ] R237.26 : Type {16,36}_144 Order 2304 mV = 9 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^16, S^36 ] R237.27 : Type {16,272}_68 Order 2176 mV = 136 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^34 * R * S^-5 * R * S^29 ] R237.28 : Type {16,272}_68 Order 2176 mV = 136 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^16, S^34 * R * S^-1 * R * S^33 ] R237.29 : Type {16,272}_136 Order 2176 mV = 136 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^16, S^34 * R * S^-5 * R * S^29 ] R237.30 : Type {16,272}_136 Order 2176 mV = 136 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^34 * R * S^-1 * R * S^33 ] R237.31 : Type {24,88}_132 Order 2112 mV = 44 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^11 * S * R^-1 * S, S^22 * R * S^-1 * R * S^21 ] R237.32 : Type {24,88}_132 Order 2112 mV = 44 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^22 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^11 ] R237.33 : Type {36,252}_28 Order 2016 mV = 126 mF = 18 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^-3 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-4 * S, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R237.34 : Type {56,72}_126 Order 2016 mV = 36 mF = 28 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^9 * R^-7 * S^-1 * R * S^6 * R^6 * S^2 ] R237.35 : Type {56,72}_252 Order 2016 mV = 36 mF = 28 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^-2 * S^5 * R * S^-2 * R^7 * S * R^-1 * S^-5 * R^2 * S^-1 * R^-1 * S^2 ] R237.36 : Type {160,480}_6 Order 1920 mV = 480 mF = 80 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^117 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^17 ] R237.37 : Type {160,480}_12 Order 1920 mV = 480 mF = 80 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^5 * R^-1 * S^-1, R * S^-19 * R^17 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R237.38 : Type {240,240}_4 Order 1920 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^2, R^-2 * S^158 * R^-1 * S * R^-14 * S^2 * R^-61 * S ] R237.39 : Type {240,240}_4 Order 1920 mV = 80 mF = 80 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^98 * S^-4 * R^10 * S^-2 * R * S^-2 * R^2 ] R237.40 : Type {240,240}_4 Order 1920 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^197 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^17 ] R237.41 : Type {240,240}_4 Order 1920 mV = 120 mF = 120 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^88 * S^-2 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R237.42 : Type {240,240}_8 Order 1920 mV = 80 mF = 80 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^-1 * R^36 * S^-1 * R^14 * S^-1 * R * S^-1 * R^2 * S^-3 ] R237.43 : Type {240,240}_8 Order 1920 mV = 120 mF = 120 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^62 * S^-14 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-16 ] R237.44 : Type {475,950}_2 Order 1900 mV = 950 mF = 475 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^226 * R^-3 * T * R^12 * T * R^-1 * S * R^-1 * S * R^-229 ] R237.45 : Type {476,476}_2 Order 1904 mV = 476 mF = 476 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^457 * T * S^-2 * R * T * R^-12 * T * R^2 * S^-1 * T ] R237.46 : Type {948,948}_2 Order 1896 mV = 948 mF = 948 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^227 * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R * S^-1 * R * S^-227 * R ] Genus 238 R238.1 : Type {4,478}_956 Order 3824 mV = 239 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^478 ] R238.2 : Type {4,952}_952 Order 3808 mV = 952 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^238 * R^2 * S^238 ] R238.3 : Type {6,240}_240 Order 2880 mV = 80 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^240 ] R238.4 : Type {6,240}_240 Order 2880 mV = 120 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^40 * R * S^-3 * R * S^37 ] R238.5 : Type {6,240}_240 Order 2880 mV = 120 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^240 ] R238.6 : Type {6,714}_238 Order 2856 mV = 714 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^119 * R * S^-1 * R * S^118 ] R238.7 : Type {10,595}_238 Order 2380 mV = 595 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-60 * R * S^2 * R^-1 * S^-57 ] R238.8 : Type {12,192}_192 Order 2304 mV = 64 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^48 * R * S^-2 * R * S^46 ] R238.9 : Type {12,192}_192 Order 2304 mV = 96 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^16 * R^5 * S^-4 * R * S^12 ] R238.10 : Type {12,192}_192 Order 2304 mV = 96 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^48 * R^-3 * S^-3 * T * R^-2 * S * R * T * S^44 ] R238.11 : Type {16,70}_560 Order 2240 mV = 35 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^70 ] R238.12 : Type {18,180}_60 Order 2160 mV = 60 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^-1 * S * R^-15 * S, S^30 * R * S^-2 * R * S^28 ] R238.13 : Type {18,180}_60 Order 2160 mV = 90 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^7 * S * R^-5, R^-1 * S * R^-1 * S * R^-9 * S * R^-3 * S, S^11 * R^-5 * S^-3 * R * S^6 ] R238.14 : Type {30,36}_180 Order 2160 mV = 6 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^36 ] R238.15 : Type {30,36}_180 Order 2160 mV = 18 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^36 ] R238.16 : Type {30,510}_34 Order 2040 mV = 510 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^2, S^17 * R * S^-1 * R * S^16 ] R238.17 : Type {36,504}_56 Order 2016 mV = 504 mF = 18 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^-3 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-4 * S, S^14 * R * S^-4 * R * S^10 ] R238.18 : Type {40,52}_520 Order 2080 mV = 26 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 * R^-1 * S^-2 * T * S^4 * T * S^-1 * R^11 * S^3 * T * R^3 * S^2 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R238.19 : Type {42,168}_12 Order 2016 mV = 42 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^-3 * R * S^4, S^4 * R^-2 * S * R^-1 * S * R^-6 * S^2 * R^-1 * S^2 * R^-1 ] R238.20 : Type {42,168}_24 Order 2016 mV = 56 mF = 21 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^8, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R238.21 : Type {42,168}_24 Order 2016 mV = 84 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 * S^-3 * R * S^4, S * R^7 * S * R^-5, R^2 * S^-7 * R^5 * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-5 * R * S^-1 * R * S^-2 * R^2 ] R238.22 : Type {42,168}_24 Order 2016 mV = 84 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^9 * S^-1 * R^3 * S^-1, S^12 * R^2 * S^3 * R^-1 * S^-3 * R^3 * S^6 ] R238.23 : Type {56,84}_8 Order 2016 mV = 14 mF = 14 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^6 * S^-1 * R * S^-4 ] R238.24 : Type {58,493}_34 Order 1972 mV = 493 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^-7 * R^12 * S^-10 ] R238.25 : Type {66,165}_30 Order 1980 mV = 55 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^7 * R^-18 * S^8 ] R238.26 : Type {138,483}_14 Order 1932 mV = 483 mF = 69 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^-6 * R * S^2, R^-1 * S^7 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R238.27 : Type {162,162}_6 Order 1944 mV = 81 mF = 54 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^104 * S^-14 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-16 ] R238.28 : Type {477,954}_2 Order 1908 mV = 954 mF = 477 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^458 * T * S^-2 * R * T * R^-12 * T * R^3 * T ] R238.29 : Type {478,478}_2 Order 1912 mV = 478 mF = 478 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^458 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] R238.30 : Type {952,952}_2 Order 1904 mV = 952 mF = 952 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^457 * T * S^-2 * R * T * R^-12 * T * R^3 * T ] Genus 239 R239.1 : Type {4,480}_480 Order 3840 mV = 240 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^120 * R * S^-1 * R * S^119 ] R239.2 : Type {4,480}_480 Order 3840 mV = 240 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^480 ] R239.3 : Type {4,956}_478 Order 3824 mV = 956 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^239 * R^2 * S^239 ] R239.4 : Type {6,20}_40 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-2 * R^-2 * S * R^-2 * S^-3, R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2 ] R239.5 : Type {6,717}_478 Order 2868 mV = 717 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-120 * R * S * R^-1 * S^-118 ] R239.6 : Type {8,320}_320 Order 2560 mV = 160 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^80 * R * S^-1 * R * S^79 ] R239.7 : Type {8,320}_320 Order 2560 mV = 160 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^80 * R^-3 * S^-3 * T * S * R * S^-1 * T * S^75 ] R239.8 : Type {12,16}_6 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R239.9 : Type {12,16}_8 Order 2688 mV = 2 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^-2 * R * S^-1)^2 ] R239.10 : Type {12,16}_8 Order 2688 mV = 2 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^12, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1, S * R^-1 * S * R^5 * S^2 * R^-1 * S * R^-1 * S ] R239.11 : Type {12,16}_12 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^3 * R^4 * S^3 * R^-2, 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 ] R239.12 : Type {12,16}_14 Order 2688 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^-2 * R^6 * S^-6, S^-2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ] R239.13 : Type {12,16}_16 Order 2688 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^2 * R^2 * S^-1 * R^2 * S^5, S * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R239.14 : Type {12,16}_16 Order 2688 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^-2 * R^6 * S^-6, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R239.15 : Type {12,16}_28 Order 2688 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^2 * R^2 * S^-1 * R^2 * S^5, S^-2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ] R239.16 : Type {20,108}_270 Order 2160 mV = 54 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^27 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^18 ] R239.17 : Type {24,132}_88 Order 2112 mV = 33 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^19 * S^-1 * R * S^-1 * R^2, S^22 * R * S^-3 * R * S^19 ] R239.18 : Type {24,132}_88 Order 2112 mV = 66 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^22 * R * S^-3 * R * S^19 ] R239.19 : Type {479,958}_2 Order 1916 mV = 958 mF = 479 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^460 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] R239.20 : Type {480,480}_2 Order 1920 mV = 480 mF = 480 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^460 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] R239.21 : Type {480,480}_4 Order 1920 mV = 480 mF = 480 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^196 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^16 * S^-1 ] R239.22 : Type {956,956}_2 Order 1912 mV = 956 mF = 956 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^459 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] Genus 240 R240.1 : Type {4,243}_486 Order 3888 mV = 81 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-243 ] R240.2 : Type {4,482}_964 Order 3856 mV = 241 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^482 ] R240.3 : Type {4,960}_960 Order 3840 mV = 960 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^240 * R^2 * S^240 ] R240.4 : Type {6,242}_726 Order 2904 mV = 121 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^242 ] R240.5 : Type {8,162}_324 Order 2592 mV = 54 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-41 * R^4 * S^-40 ] R240.6 : Type {8,162}_648 Order 2592 mV = 81 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^162 ] R240.7 : Type {10,122}_610 Order 2440 mV = 61 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^122 ] R240.8 : Type {12,98}_588 Order 2352 mV = 49 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^98 ] R240.9 : Type {14,82}_574 Order 2296 mV = 41 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^82 ] R240.10 : Type {14,560}_80 Order 2240 mV = 560 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^40 * R * S^-4 * R * S^36 ] R240.11 : Type {18,62}_558 Order 2232 mV = 31 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^62 ] R240.12 : Type {20,135}_54 Order 2160 mV = 45 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, S^-14 * R * S^6 * R^-1 * S^-7 ] R240.13 : Type {22,50}_550 Order 2200 mV = 25 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^50 ] R240.14 : Type {22,528}_48 Order 2112 mV = 528 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^-1 * S * R^-1 * S * R^-18, S^24 * R * S^-1 * R * S^23 ] R240.15 : Type {26,42}_546 Order 2184 mV = 21 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^42 ] R240.16 : Type {26,520}_40 Order 2080 mV = 520 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^20 * R^-1 * S^-7 * R * S^13 ] R240.17 : Type {32,34}_544 Order 2176 mV = 17 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^34 ] R240.18 : Type {34,510}_30 Order 2040 mV = 510 mF = 17 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^4, S^-2 * R^-1 * S^14 * R^-1 * S^-14 ] R240.19 : Type {51,85}_10 Order 2040 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^-4 * R * S^5, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2, R^3 * S^-3 * R^9 * S^-2 ] R240.20 : Type {56,126}_36 Order 2016 mV = 42 mF = 14 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^3 * R^-1, S * R * S^-2 * R^-3 * S^6 ] R240.21 : Type {56,126}_72 Order 2016 mV = 63 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^2 * S^-1 * R^3 * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-4 * R^2, S^9 * R * S^-1 * R * S^8 ] R240.22 : Type {62,496}_16 Order 1984 mV = 496 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^18 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^18 ] R240.23 : Type {82,492}_12 Order 1968 mV = 492 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R240.24 : Type {98,490}_10 Order 1960 mV = 490 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^-4 * R * S^5, S^39 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R240.25 : Type {122,488}_8 Order 1952 mV = 488 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^-3 * R * S^4, S^63 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R240.26 : Type {123,164}_6 Order 1968 mV = 41 mF = 41 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^18 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R ] R240.27 : Type {194,485}_10 Order 1940 mV = 485 mF = 97 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^35 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R240.28 : Type {242,484}_4 Order 1936 mV = 484 mF = 121 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^199 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^17 ] R240.29 : Type {243,243}_4 Order 1944 mV = 81 mF = 81 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^64 * S^-2 * R^14 * S^-1 * R * S^-158 * R ] R240.30 : Type {322,483}_6 Order 1932 mV = 483 mF = 161 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^116 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^16 * S^-1 ] R240.31 : Type {481,962}_2 Order 1924 mV = 962 mF = 481 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^462 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] R240.32 : Type {482,482}_2 Order 1928 mV = 482 mF = 482 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^462 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] R240.33 : Type {960,960}_2 Order 1920 mV = 960 mF = 960 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^461 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] Genus 241 R241.1 : Type {3,21}_16 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^4 * R^-1 * S^2 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-5 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S^-3 ] R241.2 : Type {3,22}_30 Order 7920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2, (S^2 * R^-1 * S^5 * R^-1 * S)^2 ] R241.3 : Type {4,5}_30 Order 19200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^2 * S^-2 ] R241.4 : Type {4,5}_60 Order 19200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^2 * S^-1 ] R241.5 : Type {4,6}_16 Order 11520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^3 * R^2 * S^3 * R * S^-1 ] R241.6 : Type {4,6}_30 Order 11520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S ] R241.7 : Type {4,6}_60 Order 11520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ] R241.8 : Type {4,6}_60 Order 11520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, R * S^-3 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^3 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R241.9 : Type {4,12}_8 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^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^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] R241.10 : Type {4,12}_8 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^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^2 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] R241.11 : Type {4,12}_60 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R241.12 : Type {4,12}_120 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-3, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R241.13 : Type {4,14}_16 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S^14 ] R241.14 : Type {4,20}_30 Order 4800 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S * R * S^-4 * R * S^5, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R241.15 : Type {4,20}_60 Order 4800 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^20 ] R241.16 : Type {4,24}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S ] R241.17 : Type {4,24}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, S^-11 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-9 ] R241.18 : Type {4,24}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * 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 ] R241.19 : Type {4,24}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, 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^-6 * R * S^3 * R^-1 * S^-1 * R * S^2 ] R241.20 : Type {4,24}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S ] R241.21 : Type {4,24}_16 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, S^3 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^3 ] R241.22 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^64 ] R241.23 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^64 ] R241.24 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^16 * R * S^-5 * R * S^2 * R^-1 * S^-2 * R * S^7 ] R241.25 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * R^2 * S^3 * R^-1 * S^-1 * R * S^12 ] R241.26 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^16 * R^2 * S^3 * R^-1 * S^-1 * R * S^12 ] R241.27 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^16 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^10 ] R241.28 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * R^2 * S^3 * R^-1 * S^-1 * R * S^12 ] R241.29 : Type {4,64}_64 Order 4096 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^16 * R^2 * S^3 * R^-1 * S^-1 * R * S^12 ] R241.30 : Type {4,64}_64 Order 4096 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^64 ] R241.31 : Type {4,64}_64 Order 4096 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^16 * R * S^-3 * R * S^13 ] R241.32 : Type {4,64}_64 Order 4096 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^16 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R241.33 : Type {4,64}_64 Order 4096 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^16 * R * S^-3 * R * S^13 ] R241.34 : Type {4,84}_28 Order 4032 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^14 * R^2 * S * R^-1 * S^-1 * R * S^12 ] R241.35 : Type {4,124}_248 Order 3968 mV = 31 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^124 ] R241.36 : Type {4,244}_244 Order 3904 mV = 61 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^244 ] R241.37 : Type {4,484}_484 Order 3872 mV = 242 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^484 ] R241.38 : Type {4,964}_482 Order 3856 mV = 964 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^241 * R^2 * S^241 ] R241.39 : Type {5,5}_6 Order 9600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^2 * R^2 * S * R^-1 * S^-2 * R^-1, S * R^-1 * S * R^2 * S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-2 * S^2 * R^-1 ] R241.40 : Type {5,5}_12 Order 9600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S^2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R, R * S^-2 * R^-2 * S * R^-2 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^2 * S^-2 ] R241.41 : Type {5,6}_30 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1 ] R241.42 : Type {6,6}_10 Order 5760 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R241.43 : Type {6,6}_12 Order 5760 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2)^4, S * R * S^-1 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R * S^-3 * R^2 * S^3 * R * S^-2 * R^-1 ] R241.44 : Type {6,6}_24 Order 5760 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1 ] R241.45 : Type {6,6}_24 Order 5760 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R * S^3 * R^-1 ] R241.46 : Type {6,7}_6 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^-2 * S * R^2 * S^-1 * R^-2 * S^-3 * R^3 * S^2 ] R241.47 : Type {6,7}_12 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (S^-1 * R)^5 ] R241.48 : Type {6,8}_4 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, 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 * R)^4 ] R241.49 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R)^4, R * S^-4 * R * S^-2 * R * S^4 * R * S^-2 ] R241.50 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, 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^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S ] R241.51 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, 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^-1 * S * R^-2 * S^4 * R^-2 * S ] R241.52 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^-2 * S^4 * R^-2 * S, S^3 * R * S^-2 * R * S^-1 * R^-2 * S^3 * R^-1 * S^3 * R^-1 ] R241.53 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2 ] R241.54 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^-2 * S^4 * R^-2 * S, (R * S^-3)^4 ] R241.55 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^2 * S^-2 * R^-2 * S^4 * R^-2 * S^-1, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R241.56 : Type {6,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^2 * S^-2 * R^-2 * S^4 * R^-2 * S^-1, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1, S^-2 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^2 * R^-1 * S^-1 ] R241.57 : Type {6,8}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-2 ] R241.58 : Type {6,8}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-2 ] R241.59 : Type {6,12}_12 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-1 * R)^4, S^12, S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^2 * S^2 ] R241.60 : Type {6,15}_10 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-4 * R * S^5, R * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-1 * R * S^3 ] R241.61 : Type {6,15}_20 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4 ] R241.62 : Type {6,15}_30 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^-15 ] R241.63 : Type {6,15}_60 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-15 ] R241.64 : Type {6,18}_18 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-4 * R^2 * S * R^-1 * S^-1 * R * S^2, S^18 ] R241.65 : Type {6,18}_18 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, R^2 * S^-4 * R^2 * S * R^-1 * S^-1 * R * S^2, S^18 ] R241.66 : Type {6,18}_36 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^18 ] R241.67 : Type {6,18}_72 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^18 ] R241.68 : Type {6,18}_72 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S^-2 * R^2 * S^2 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R^2 * S, S^18 ] R241.69 : Type {6,48}_16 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-4 * R)^2 ] R241.70 : Type {6,48}_16 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-4 * R)^2 ] R241.71 : Type {6,48}_16 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^3 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^2 * S^-6 * R * S^2 ] R241.72 : Type {6,48}_16 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1 ] R241.73 : Type {6,48}_16 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^2 * S^-5, (R * S^-2)^4 ] R241.74 : Type {6,48}_16 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^-6 * R^-1 * S * R^-2 * S * R * S^-1 * R^2 * S^-7 ] R241.75 : Type {6,48}_16 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, R * S^-1 * R^-1 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * R * S^2 ] R241.76 : Type {6,48}_16 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S^-2 * R^2 * S^2 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R^2 * S, R^-1 * S * R^3 * S^-1 * R^-1 * S^6 * R^-2 * S * R^-1 * S^-1 * R * S^4 * R^-3 * S^-2 ] R241.77 : Type {6,63}_252 Order 3024 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-63 ] R241.78 : Type {6,183}_244 Order 2928 mV = 61 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-32 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-26 ] R241.79 : Type {6,243}_486 Order 2916 mV = 81 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-243 ] R241.80 : Type {6,723}_482 Order 2892 mV = 723 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-121 * R^2 * S^-120 ] R241.81 : Type {8,56}_8 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^5 * R * S^-1 * R * S^5 * R^-1 ] R241.82 : Type {8,56}_8 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^2 * R * S^-4 * R^-3 * S^-4 * R * S ] R241.83 : Type {9,30}_18 Order 2700 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^3 * R * S^-9 * R * S^8 ] R241.84 : Type {10,10}_20 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R241.85 : Type {10,10}_40 Order 3200 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-3 * R^-3 * S^-3 * R^2, S * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S ] R241.86 : Type {10,40}_4 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, 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^-4)^2, S * R^2 * S^-1 * R^4 * S^2 * R^-2 * S^2 ] R241.87 : Type {10,40}_4 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, 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 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R241.88 : Type {10,40}_8 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R241.89 : Type {10,40}_8 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^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 ] R241.90 : Type {11,22}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^11, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, (S^-1 * R^2 * S^-1)^3 ] R241.91 : Type {12,12}_6 Order 2880 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ] R241.92 : Type {12,12}_6 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1 ] R241.93 : Type {12,12}_10 Order 2880 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^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4, (R * S^-2)^4, S^-2 * R^2 * S^-1 * R^3 * S^-1 * R * S^2 * R^-1 * S^-1 ] R241.94 : Type {12,12}_10 Order 2880 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^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4, (R * S^-2)^4, S^-2 * R^2 * S^-1 * R^3 * S^-1 * R * S^-3 * R ] R241.95 : Type {12,12}_10 Order 2880 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^12, 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 ] R241.96 : Type {12,12}_12 Order 2880 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] R241.97 : Type {12,12}_12 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] R241.98 : Type {12,12}_20 Order 2880 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^12, (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, R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^2 ] R241.99 : Type {12,12}_30 Order 2880 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^12, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R241.100 : Type {12,12}_60 Order 2880 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^12, (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, R^-1 * S * R^2 * S^-2 * R^2 * S * R^-1 * S^-4 ] R241.101 : Type {12,60}_4 Order 2400 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, R^12, R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-3 * R * S^-1 * R * S^-1 * R^2 * S ] R241.102 : Type {14,14}_12 Order 2688 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^4 * S^-1 * R * S^-3, S * R * S^-2 * R^3 * S * R^-2 * S^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^14 ] R241.103 : Type {16,48}_4 Order 2304 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, S * R^5 * S * R^-3, S^-2 * R^-2 * S^8 * R^-2 * S^-2 ] R241.104 : Type {16,48}_4 Order 2304 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, S * R^5 * S * R^-3, S^-6 * R^-2 * S^4 * R^-2 * S^-2, R^16 ] R241.105 : Type {16,48}_8 Order 2304 mV = 4 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, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R^16 ] R241.106 : Type {16,48}_8 Order 2304 mV = 4 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, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R241.107 : Type {16,48}_8 Order 2304 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, S * R^5 * S * R^-3, S^-4 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-4 ] R241.108 : Type {16,48}_8 Order 2304 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, S * R^5 * S * R^-3, S^-4 * R * S^-1 * R^-1 * S^6 * R^-1 * S^-1 * R ] R241.109 : Type {16,48}_8 Order 2304 mV = 8 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, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2, R^16 ] R241.110 : Type {16,48}_8 Order 2304 mV = 8 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, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-3 ] R241.111 : Type {16,48}_8 Order 2304 mV = 8 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-4 * R * S^-1 * R^2 * S^4 * R^-1 * S^-1, R^-1 * S * R * S^-2 * R^5 * S * R^-1 * S^-4 ] R241.112 : Type {16,48}_8 Order 2304 mV = 8 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, R^-1 * S * R * S^-2 * R^5 * S * R^-1 * S^-4 ] R241.113 : Type {18,36}_4 Order 2304 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S * R^-5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, (R^-3 * S * R^-2 * S * R^-2)^2 ] R241.114 : Type {18,36}_4 Order 2304 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^3 * S^3 * R^-1 * S, S * R^7 * S * R^-5, R^2 * S^-1 * R^2 * S^-2 * R^6 * S^-1 * R * S^-2 * R ] R241.115 : Type {18,36}_8 Order 2304 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^4 * S^4 * R^-1, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S * T * R^11 * S^-1 * R^2 * T * R^-2 ] R241.116 : Type {18,36}_8 Order 2304 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^4 * S^4 * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S * T * R^11 * S^-1 * R^2 * T * R^-2 ] R241.117 : Type {18,36}_8 Order 2304 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^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^7 * S * R^-5, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, R^-1 * S * R^-2 * S * R^-9 * S * R^-2 * S ] R241.118 : Type {18,36}_8 Order 2304 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^-1 * S * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S * R^-2 * S^3 * R^-4 * S * R^-1 * S^2 * R^-3 ] R241.119 : Type {18,36}_8 Order 2304 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 * S^-1 * R * S^4, S * R * S^-2 * R^3 * S^3 * R^-2, R^-2 * S * R^-1 * S * R^-9 * S * R^-1 * S * R^-1 ] R241.120 : Type {18,36}_8 Order 2304 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 * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, R^-1 * S * R^-2 * S^3 * R^-8 * S * R^-1 * S ] R241.121 : Type {18,36}_8 Order 2304 mV = 12 mF = 3 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, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, R^-1 * S * T * S^-1 * R^13 * T * S^2 ] R241.122 : Type {18,36}_8 Order 2304 mV = 12 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^7 * S * R^-5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, S * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S, R * S^-2 * T * S * R^-7 * S^2 * R^-1 * S * R^-1 * S * T * S^-1 ] R241.123 : Type {20,20}_6 Order 2400 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R241.124 : Type {20,20}_6 Order 2400 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 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^3 * T * S^-2 * R^9 * S^-2 * T * S^3 * R^-1 ] R241.125 : Type {24,24}_6 Order 2304 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^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R241.126 : Type {24,24}_6 Order 2304 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^-1 * S * R^4 * S * R^-1 * S^-3, S^-2 * R * S^-1 * R^3 * S^2 * R^-2 * S^-1, S^-1 * R^7 * S^-3 * R * S^-2 ] R241.127 : Type {24,24}_6 Order 2304 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R241.128 : Type {24,24}_6 Order 2304 mV = 6 mF = 4 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^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^2 * R^-5 * S * R^-7 * S * R^-4 * S * R^-2 * S ] R241.129 : Type {24,24}_12 Order 2304 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^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-3 * R^3)^2 ] R241.130 : Type {24,24}_12 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^2 * S^-1 * R^2 * S^-3 * R * S^-1, R * S^-1 * R^-6 * S^-1 * R^5 * S^2 ] R241.131 : Type {24,24}_12 Order 2304 mV = 4 mF = 4 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, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^7 * S * R^-5, R^2 * S^-5 * R^9 * S^-1 * R^7 ] R241.132 : Type {24,24}_12 Order 2304 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, R * S^-1 * R^-8 * S^-1 * R^2 * S^-2 * R ] R241.133 : Type {24,24}_12 Order 2304 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^5 * S^3 * R^-1 * S^-1 ] R241.134 : Type {24,24}_12 Order 2304 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S^3 * R^-2 ] R241.135 : Type {24,24}_12 Order 2304 mV = 4 mF = 6 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^2 * S^-1)^3, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R241.136 : Type {24,24}_12 Order 2304 mV = 4 mF = 6 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^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S * R * S^-5 * R * S^6, R * S^-1 * R^-1 * S * R^6 * S * R^-1 * S^2 * R^-2 * S * R ] R241.137 : Type {24,24}_12 Order 2304 mV = 4 mF = 6 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, S^-2 * T * S^4 * R^9 * S^-2 * R^2 * S^-2 * T * S * R * S^-1 ] R241.138 : Type {24,24}_12 Order 2304 mV = 6 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^-3 * R * S^4, R^2 * S^-1 * R^4 * S^-3 * R^2, R * S^-1 * R^-8 * S^-1 * R^2 * S^-2 * R ] R241.139 : Type {24,24}_12 Order 2304 mV = 6 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 * S^-3 * R * S^4, R * S^-1 * R^-6 * S^-1 * R^5 * S^2, S^-1 * R * S^-3 * R * S^-3 * R^7 * S^-1 * R^7 ] R241.140 : Type {24,24}_12 Order 2304 mV = 6 mF = 3 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 * R * S^-1 * R^4 * S^2 * R^-3, S^2 * R^-6 * S^-1 * R^5 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R241.141 : Type {24,24}_12 Order 2304 mV = 6 mF = 4 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^-3 * R * S^4, R * S^-2 * R^4 * S^-2 * R * S^-2 ] R241.142 : Type {24,24}_12 Order 2304 mV = 6 mF = 4 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, S * R^7 * S * R^-5, S^-1 * R^16 * S^-1 * R^2 * S^-2 * R^2 ] R241.143 : Type {24,24}_12 Order 2304 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (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, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-8 * S^-1 * R^2 * S^-2 * R ] R241.144 : Type {24,24}_12 Order 2304 mV = 6 mF = 6 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^-3 * S^3 * T * S^-1 * R^7 * S * R^-1 * S^-1 * R * S^2 * T * S^-4 ] R241.145 : Type {24,24}_12 Order 2304 mV = 6 mF = 8 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^-3 * R * S^4, R^8 * S^-1 * R^2 * S^-1 ] R241.146 : Type {24,24}_12 Order 2304 mV = 8 mF = 6 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^6 * R^-1 * S * R^-1 * S^2 * R^-4 * S^2 * R^-1 * S * R^-2 * S^2 * R^-1 ] R241.147 : Type {24,24}_24 Order 2304 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 * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R * S^-1 * R^4 * S^2 * R^-3, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3, R^-1 * S * R * S^-1 * R^-1 * S * R^4 * S * R^-2 * S^-1 * R^2 * S * R^-1 ] R241.148 : Type {24,24}_24 Order 2304 mV = 4 mF = 4 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^6 * S^5, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R * S^-1 * R^3 * S^-4 * R^7 * S^-1 * R^2 * S^-1 * R * S^-1 * R^2 ] R241.149 : Type {24,24}_24 Order 2304 mV = 4 mF = 4 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^-1 * R^6 * S^-5, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R241.150 : Type {24,24}_24 Order 2304 mV = 4 mF = 4 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^3 * S^-1 * R^3 * S^-5, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^7 * S * R^-5 ] R241.151 : Type {24,24}_24 Order 2304 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S^4, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, R * S^-1 * R^-8 * S^-1 * R^2 * S^-2 * R ] R241.152 : Type {24,24}_24 Order 2304 mV = 4 mF = 6 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^5 * S^-2 * R * S^-1, S^24 ] R241.153 : Type {24,24}_24 Order 2304 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R^-7 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S^3 * R^5 * S^-7 ] R241.154 : Type {24,24}_24 Order 2304 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R^-7 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^-3 * R^2 * S^-1 * R^-1 * S * R^3 * S^-7 ] R241.155 : Type {24,24}_24 Order 2304 mV = 4 mF = 6 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^3 * S * R^-1 * S^-1 * R, S^24 ] R241.156 : Type {24,24}_24 Order 2304 mV = 4 mF = 6 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 * S^2 * R^-1 * S^-1, S * R * S^-5 * R * S^6, S^-1 * R^-7 * S^-1 * R^2 * S * R^-2 * S^-1 * R ] R241.157 : Type {24,24}_24 Order 2304 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-3, S * R * S^-5 * R * S^6 ] R241.158 : Type {24,24}_24 Order 2304 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 * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-24 ] R241.159 : Type {24,24}_24 Order 2304 mV = 4 mF = 8 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^8 * S^-1 * R^2 * S^-1, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R241.160 : Type {24,24}_24 Order 2304 mV = 6 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^-3 * R * S^4, R^2 * S^-1 * R^4 * S^-3 * R^2, R^-9 * S^2 * R^-2 * S^-2 * R^-1 ] R241.161 : Type {24,24}_24 Order 2304 mV = 6 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^-2 * S * R^-5 * S * R^-7 * S * R^-5 * S * R^-1, R^24 ] R241.162 : Type {24,24}_24 Order 2304 mV = 6 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 * S^-3 * R * S^4, R * S^-1 * R^-8 * S^-3 * R^3, S^-1 * R * S^-3 * R * S^-3 * R^7 * S^-1 * R^7 ] R241.163 : Type {24,24}_24 Order 2304 mV = 6 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 * S^-3 * R * S^4, R^-9 * S^2 * R^-2 * S^-2 * R^-1 ] R241.164 : Type {24,24}_24 Order 2304 mV = 6 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 * S^-3 * R * S^4, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, R^24 ] R241.165 : Type {24,24}_24 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R, R * S^-1 * R^-8 * S^-3 * R^3 ] R241.166 : Type {24,24}_24 Order 2304 mV = 6 mF = 3 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 * R * S^-1 * R^4 * S^2 * R^-3, R^-9 * S^2 * R^-2 * S^-2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R241.167 : Type {24,24}_24 Order 2304 mV = 6 mF = 4 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)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-9 * S^-1 * R * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R241.168 : Type {24,24}_24 Order 2304 mV = 6 mF = 4 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^-3 * R * S^4, (R * S^-1 * R^4)^2, R^-1 * S * R^8 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R241.169 : Type {24,24}_24 Order 2304 mV = 6 mF = 4 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^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^24 ] R241.170 : Type {24,24}_24 Order 2304 mV = 6 mF = 4 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^-3 * R * S^4, (R * S^-1 * R^4)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^5 * S * R^-4 * S^-2 ] R241.171 : Type {24,24}_24 Order 2304 mV = 6 mF = 6 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^24, S^24 ] R241.172 : Type {24,24}_24 Order 2304 mV = 6 mF = 6 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 * R^-2 * S^3 * T * S^-1 * R^10 * S^-4 * T * S^3 ] R241.173 : Type {24,24}_24 Order 2304 mV = 6 mF = 6 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^-7 * S^-1 * R^2 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R241.174 : Type {24,24}_24 Order 2304 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)^2, (R * S^-1)^4, (R * S^-3)^2, R^-9 * S^2 * R^-2 * S^-2 * R^-1, S^24 ] R241.175 : Type {24,24}_24 Order 2304 mV = 6 mF = 8 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^-3 * R * S^4, (R * S^-1 * R^4)^2, R^10 * S * R^-2 * S ] R241.176 : Type {24,24}_24 Order 2304 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, S * R * S^-3 * R * S^4, R^24 ] R241.177 : Type {24,264}_44 Order 2112 mV = 132 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^19 * S^-1 * R * S^-1 * R^2, S^22 * R^-1 * S^-10 * R * S^12 ] R241.178 : Type {24,264}_44 Order 2112 mV = 132 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^22 * R^2 * S^3 * R^-1 * S^-3 * R * S^16 ] R241.179 : Type {28,76}_266 Order 2128 mV = 38 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^19 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R241.180 : Type {30,45}_36 Order 2160 mV = 15 mF = 5 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^2 * R^-6 * S^7 ] R241.181 : Type {30,105}_70 Order 2100 mV = 21 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^25 * S^-1 * R * S^-1 * R^2, S^-18 * R * S^10 * R^-1 * S^-7 ] R241.182 : Type {33,66}_8 Order 2112 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, R^3 * S^-1 * R^2 * S^-1 * R^14 * S^-5 * R * S^-5 * R ] R241.183 : Type {64,64}_4 Order 2048 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 * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^35 * S^-1 * R^4 * S^-1 * R^3 * S^-1 * R^11 * S^-1 * R^2 * S^-2 * R^3 ] R241.184 : Type {64,64}_4 Order 2048 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^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R * S^-1 * R^3 * S^-3 * R * S^-1 * R^2 * S^-3 * R * S^-3 * R^10 * S^-3 ] R241.185 : Type {64,64}_4 Order 2048 mV = 16 mF = 16 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^2 * S^-1 * R * S^-2 * R^4 * S^-2 * R^10 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-2 ] R241.186 : Type {64,64}_8 Order 2048 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^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^-1 * S^17 * R^-6 * S * R^-1 * S * R^-1 * S * R^-3 * S^2 * R^-1 * T * S^-1 * R^10 * S^-1 * T * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-5 ] R241.187 : Type {64,64}_8 Order 2048 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^2 * R^-1, R^-1 * S * R^5 * S^-1 * R^-1 * S^4 * R^-1 * S^-2, R^-2 * S * R^-3 * S^3 * R^-1 * T * S^-1 * R^8 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-1 * S ] R241.188 : Type {64,64}_8 Order 2048 mV = 16 mF = 16 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^7 * S^-2 * R * S^-1 * R^2 * S^-1 * R^7 * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1 ] R241.189 : Type {64,64}_8 Order 2048 mV = 16 mF = 16 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 * S^-2 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R^8 * S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-1 ] R241.190 : Type {64,64}_8 Order 2048 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-2 * R^10 * S^-2 * R * S^-3 * R * S^-1 * R * S^-2 ] R241.191 : Type {64,64}_8 Order 2048 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^35 * S^-8 * R^10 * S^-2 * R * S^-3 * R * S^-1 * R^3 ] R241.192 : Type {64,64}_8 Order 2048 mV = 16 mF = 16 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, S * R^-4 * S^2 * R^-1 * S * R^-1 * S * R^-3 * S * R^-1 * S * R^-8 * S^3 * R^-1 * S^2 * R^-1 ] R241.193 : Type {64,64}_8 Order 2048 mV = 16 mF = 16 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 * S^-4 * R * S^-1 * R * S^-1 * R^13 * S^-2 * R^3 * S^-2 * R^3 ] R241.194 : Type {64,64}_8 Order 2048 mV = 16 mF = 16 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^2 * S^-3 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R^5 * S^-1 * R * S^-1 * R^2 ] R241.195 : Type {64,64}_8 Order 2048 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^3 * S * R^-2 * S, S * R * S^-2 * R^2 * S * R^-1 * S^2, S * R^-1 * S^3 * R^-2 * S * R^-1 * S * R^-2 * S * T * S^-2 * R^5 * S^-2 * R * S^-1 * R * T * S * R^-5 * S ] R241.196 : Type {64,64}_8 Order 2048 mV = 16 mF = 16 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 * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-3 * T * S^-1 * R^6 * S^-1 * R^3 * S^-1 * T * S^5 * R^-1 ] R241.197 : Type {64,64}_16 Order 2048 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^-5 * R^-1 * S^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^-6, S^7 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-3 * S * R^-1 * S * R^-2 * S ] R241.198 : Type {64,64}_16 Order 2048 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, 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 * R^-1 * S * R^-4 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * T * S^-1 * R^10 * S^-1 * T * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-5 ] R241.199 : Type {64,64}_16 Order 2048 mV = 8 mF = 32 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^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^-6, R^3 * S^-1 * R^3 * S^-2 * R * S^-1 * R^7 * S^-1 * R^2 * S^-3 * R * S^-5 * R * S^-1 ] R241.200 : Type {64,64}_16 Order 2048 mV = 8 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^-2 * R^-1 * S^7 * R^-1 * S^-7, R^-20 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R241.201 : Type {64,64}_16 Order 2048 mV = 16 mF = 16 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, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^7 * S^-3 * R^9 * S^-1 * R * S^-2 * R * S^-2 * R^2 * S^-1 * R^2 ] R241.202 : Type {64,64}_16 Order 2048 mV = 16 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^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^-6, S^7 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S ] R241.203 : Type {64,64}_16 Order 2048 mV = 16 mF = 16 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^-3 * R * S^4, R^2 * S^-1 * R^6 * S^-1 * R^2 * S^-1 * R^2 * S^-1 ] R241.204 : Type {64,64}_16 Order 2048 mV = 16 mF = 16 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, S * R * S^-3 * R * S^4, R^2 * S^-1 * R^6 * S^-1 * R^2 * S^-1 * R^2 * S^-1 ] R241.205 : Type {64,64}_32 Order 2048 mV = 8 mF = 32 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^-1 * S^4 * R^-2 * S^2 * R^-1 * S^-6, R^3 * S^-1 * R^3 * S^-2 * R * S^-1 * R^7 * S^-1 * R^2 * S^-3 * R * S^-5 * R * S^-1 ] R241.206 : Type {64,64}_32 Order 2048 mV = 8 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^7 * R^-16 * S^9 ] R241.207 : Type {84,84}_12 Order 2016 mV = 42 mF = 14 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^7 * S * R^-5, R * S^-1 * R^23 * S^-15 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-16 ] R241.208 : Type {84,84}_12 Order 2016 mV = 42 mF = 42 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^7 * S * R^-5, S * R * S^-5 * R * S^6, R^6 * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-5 * R ] R241.209 : Type {100,100}_10 Order 2000 mV = 50 mF = 20 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^-1 * R^39 * S^-15 * R^6 * S^-1 * R^13 * S^-3 * R^5 * S^-16 ] R241.210 : Type {123,246}_4 Order 1968 mV = 82 mF = 41 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^100 * S^-1 * R * S^-3 * R^10 * S^-2 * R * S^-3 * R ] R241.211 : Type {124,124}_4 Order 1984 mV = 31 mF = 31 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^-1 * R^92 * S^-2 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R241.212 : Type {244,244}_4 Order 1952 mV = 122 mF = 122 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^183 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-17 * S ] R241.213 : Type {483,966}_2 Order 1932 mV = 966 mF = 483 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^464 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] R241.214 : Type {484,484}_2 Order 1936 mV = 484 mF = 484 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^231 * S^-2 * R * S^-1 * R * T * R^-12 * T * R^4 * S^-231 * R ] R241.215 : Type {964,964}_2 Order 1928 mV = 964 mF = 964 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^463 * T * S^-2 * R * T * R^-12 * T * R^4 * T ] Genus 242 R242.1 : Type {4,486}_972 Order 3888 mV = 243 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^486 ] R242.2 : Type {4,968}_968 Order 3872 mV = 968 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^242 * R^2 * S^242 ] R242.3 : Type {6,244}_732 Order 2928 mV = 122 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^244 ] R242.4 : Type {6,726}_242 Order 2904 mV = 726 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^121 * R^2 * S^121 ] R242.5 : Type {8,324}_648 Order 2592 mV = 162 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^81 * R^4 * S^3 * T * S^-2 * T * S^76 ] R242.6 : Type {10,605}_242 Order 2420 mV = 605 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-61 * R * S^3 * R^-1 * S^-57 ] R242.7 : Type {16,140}_560 Order 2240 mV = 70 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^35 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S^28 ] R242.8 : Type {20,270}_108 Order 2160 mV = 135 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 * R^-17 * S, S^27 * R * S^-1 * R * S^26 ] R242.9 : Type {24,46}_552 Order 2208 mV = 23 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^46 ] R242.10 : Type {44,48}_528 Order 2112 mV = 24 mF = 22 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 * R * S^-1 * R^-1 * S * R * S^-7 * R^-11 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R242.11 : Type {46,506}_22 Order 2024 mV = 506 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^-2 * R^-1 * S^10 * R^-1 * S^-10, (R^10 * S^-1 * R * S^-1 * R^10)^2 ] R242.12 : Type {56,252}_72 Order 2016 mV = 126 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^2 * S^-1 * R^3 * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-4 * R^2, S^9 * R^4 * S^9 ] R242.13 : Type {72,126}_56 Order 2016 mV = 63 mF = 36 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^-2 * S * R^-2 * S^8 ] R242.14 : Type {90,495}_22 Order 1980 mV = 495 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^7 * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-7 * S^4 ] R242.15 : Type {164,246}_12 Order 1968 mV = 123 mF = 82 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^5 * R^-1 * S^-1, S^5 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R242.16 : Type {244,488}_8 Order 1952 mV = 488 mF = 122 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^60 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R242.17 : Type {485,970}_2 Order 1940 mV = 970 mF = 485 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^232 * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S^2 * R^-230 * S ] R242.18 : Type {486,486}_2 Order 1944 mV = 486 mF = 486 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^233 * S^-2 * R * S^-1 * R * T * R^-12 * T * R^4 * S^-231 * R ] R242.19 : Type {968,968}_2 Order 1936 mV = 968 mF = 968 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^231 * S^-2 * R * S^-1 * R * T * R^-12 * T * R^4 * S^-232 ] Genus 243 R243.1 : Type {3,12}_88 Order 11616 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-3 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R243.2 : Type {4,8}_88 Order 7744 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^22 ] R243.3 : Type {4,8}_88 Order 7744 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * 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 * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R243.4 : Type {4,12}_66 Order 5808 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 ] R243.5 : Type {4,246}_246 Order 3936 mV = 82 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^246 ] R243.6 : Type {4,488}_488 Order 3904 mV = 244 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^122 * R * S^-1 * R * S^121 ] R243.7 : Type {4,488}_488 Order 3904 mV = 244 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^488 ] R243.8 : Type {4,972}_486 Order 3888 mV = 972 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^243 * R^2 * S^243 ] R243.9 : Type {6,124}_186 Order 2976 mV = 31 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^31 * R^2 * S^2 * R^-1 * S^-1 * R * S^28 ] R243.10 : Type {8,8}_22 Order 3872 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S^2 * R^2 * S^-1 * R * S^2 * R^-2 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^2 * S^-1 ] R243.11 : Type {8,8}_44 Order 3872 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S^2 * R^2 * S^-1 * R * S^2 * R^-2 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-2 * S^-1 * R * S^2 * R^2 * S^-1 ] R243.12 : Type {8,164}_328 Order 2624 mV = 41 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^164 ] R243.13 : Type {8,164}_328 Order 2624 mV = 82 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^164 ] R243.14 : Type {8,648}_162 Order 2592 mV = 648 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^81 * R^2 * S^81 ] R243.15 : Type {8,648}_324 Order 2592 mV = 648 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^81 * R * S^-2 * R * S^79 ] R243.16 : Type {12,12}_22 Order 2904 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^12, (R * S^-2 * R^3)^2, S^2 * R * S^-3 * R^-4 * S^-3 * R * S^2 ] R243.17 : Type {12,12}_22 Order 2904 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 * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R243.18 : Type {12,75}_200 Order 2400 mV = 25 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^-13 * R^2 * S^-1 * R * S^4 * R^-2 * S * R^-1 * S^-6 ] R243.19 : Type {12,196}_294 Order 2352 mV = 98 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^49 * R^-3 * S^-3 * T * R^-2 * S * R * T * S^45 ] R243.20 : Type {14,567}_162 Order 2268 mV = 567 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^-41 * R * S^2 * R^-1 * S^-38 ] R243.21 : Type {20,56}_280 Order 2240 mV = 28 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, R^20, S^14 * R * S^-1 * R * S^13 ] R243.22 : Type {20,56}_280 Order 2240 mV = 28 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^56 ] R243.23 : Type {20,540}_54 Order 2160 mV = 540 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 * R^-17 * S, S^27 * R * S^-6 * R * S^21 ] R243.24 : Type {33,88}_6 Order 2112 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^3 * R^-3 * S^5 ] R243.25 : Type {38,513}_54 Order 2052 mV = 513 mF = 19 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^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^6, S^-14 * R * S^4 * R^-1 * S^-9 ] R243.26 : Type {40,104}_130 Order 2080 mV = 52 mF = 20 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^17 * S * R^-1 * S * R^2, S^13 * R^-1 * S^-1 * R * S^6 * R^6 * S * R^-1 * S^-1 * R * S^4 ] R243.27 : Type {40,104}_260 Order 2080 mV = 52 mF = 20 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^17 * S * R^-1 * S * R^2, S^13 * R^4 * S * R^-1 * S^-5 * R^2 * S^-2 * R^2 * S^-1 * R^-1 * S^4 ] R243.28 : Type {56,504}_18 Order 2016 mV = 504 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^-1 * S * R^-13 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-14 * S ] R243.29 : Type {56,504}_36 Order 2016 mV = 504 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^-7 * R^10 * S^-11 ] R243.30 : Type {63,252}_8 Order 2016 mV = 84 mF = 21 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^-1 * S^38 * R^-4 * S^2 * R^-2 * S * R^-1 * S * R^-9 * S * R^-1 * S * R^-1 ] R243.31 : Type {110,495}_18 Order 1980 mV = 495 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^7 * R^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S^2 ] R243.32 : Type {124,248}_8 Order 1984 mV = 124 mF = 31 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^65 * S^-15 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-15 * R ] R243.33 : Type {124,248}_8 Order 1984 mV = 124 mF = 62 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^63 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R243.34 : Type {164,492}_6 Order 1968 mV = 492 mF = 82 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^102 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R243.35 : Type {246,246}_4 Order 1968 mV = 82 mF = 82 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^159 * R^-1 * S * R^-14 * S^2 * R^-65 * S * R^-1 ] R243.36 : Type {326,489}_6 Order 1956 mV = 489 mF = 163 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^100 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R243.37 : Type {487,974}_2 Order 1948 mV = 974 mF = 487 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^467 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T ] R243.38 : Type {488,488}_2 Order 1952 mV = 488 mF = 488 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^232 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R * S^-235 ] R243.39 : Type {488,488}_4 Order 1952 mV = 488 mF = 488 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^182 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R243.40 : Type {972,972}_2 Order 1944 mV = 972 mF = 972 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^233 * S^-2 * R * S^-1 * R * T * R^-12 * T * R^4 * S^-232 ] Genus 244 R244.1 : Type {3,8}_12 Order 23328 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^6, (S^2 * R^-1 * S)^6 ] R244.2 : Type {3,8}_36 Order 23328 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * 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^2, (S^2 * R^-1 * S)^6 ] R244.3 : Type {3,9}_12 Order 17496 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^6, S^-1 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^2 * S^-4 * R^-1 * S^2 * R^-1 * S^-3, S * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-1 * R * S^-4 * R * S^-3 * R * S^-2 * R * S^2 ] R244.4 : Type {3,12}_18 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-4 * R * S^-3 ] R244.5 : Type {3,12}_54 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * 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 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] R244.6 : Type {3,18}_18 Order 8748 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, S^18, (S * R^-1 * S)^9 ] R244.7 : Type {3,18}_18 Order 8748 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * S^4 * R^-1 * S^2 * R^2 * S^4 * R^-1 * S^-2 * R * S^-1 ] R244.8 : Type {3,18}_18 Order 8748 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S ] R244.9 : Type {3,18}_54 Order 8748 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S^18 ] R244.10 : Type {3,18}_54 Order 8748 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^4 * R^-1 * S^2 * R^2 * S^4 * R^-1 * S^-2 * R * S^-1, S^18, S^-3 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1 ] R244.11 : Type {3,18}_54 Order 8748 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S^2 * R^-1 * S^2)^3, S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 ] R244.12 : Type {3,24}_36 Order 7776 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-4 * R * S^-3, S^-1 * R^-1 * S^2 * R * S^-4 * R^-1 * S * R^-1 * S^-2 * R * S^4 * R^-1 * S^-2, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-2 * R * S ] R244.13 : Type {3,24}_36 Order 7776 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2, S * R * S^-4 * R * S^-2 * R * S^-4 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^3 * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R244.14 : Type {4,5}_18 Order 19440 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-1 * R^-1 * S * R * S^-1 * 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^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R244.15 : Type {4,5}_18 Order 19440 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^2, R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R * S^-1 ] R244.16 : Type {4,6}_12 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S^-3 * R * S^-1 * R * S^3 * R^2 * S^3 * R * S^-1, R^-1 * S^-3 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^2 * S^-1 * R * S * R^-1 * S, 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 ] R244.17 : Type {4,6}_12 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R * S * R^-1 * S ] R244.18 : Type {4,6}_12 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S, 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, R * S^-2 * R^-2 * S^-3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^3 * R^2 * S^-2 ] R244.19 : Type {4,6}_12 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^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 ] R244.20 : Type {4,6}_36 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S^-3 * R * S^-1 * R * S^3 * R^2 * S^3 * R * S^-1, R^-1 * S^-3 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^2 * S^-1 * R * S * R^-1 * S, S^-2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R ] R244.21 : Type {4,6}_36 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, R^-1 * S^3 * R * S^-1 * R^-2 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S^-1 * R * S^3 * R^2 * S ] R244.22 : Type {4,8}_8 Order 7776 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^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, S^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2 ] R244.23 : Type {4,8}_24 Order 7776 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2 ] R244.24 : Type {4,8}_24 Order 7776 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, S^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2, R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-3 ] R244.25 : Type {4,12}_6 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-3 ] R244.26 : Type {4,12}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2, S^2 * R * S^-4 * R^-2 * S * R^-1 * S * R^-1 * S^3 ] R244.27 : Type {4,12}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R244.28 : Type {4,85}_102 Order 4080 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-2 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-7 ] R244.29 : Type {4,490}_980 Order 3920 mV = 245 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^490 ] R244.30 : Type {4,976}_976 Order 3904 mV = 976 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^244 * R^2 * S^244 ] R244.31 : Type {5,5}_6 Order 9720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^2 * R^2 * S * R^-1 * S^-2 * R^-1, (S^-1 * R)^9 ] R244.32 : Type {5,5}_18 Order 9720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-2 * R * S^-1 * R)^2, R^-1 * S^-2 * R * S^-1 * R * S^2 * R^-2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S, (S^-1 * R)^9 ] R244.33 : Type {5,10}_6 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R244.34 : Type {6,6}_6 Order 5832 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^-2 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R * S^-2 * R ] R244.35 : Type {6,6}_6 Order 5832 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R^-1 * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^3 * R^-1 * S * R^-1 ] R244.36 : Type {6,6}_6 Order 5832 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6 ] R244.37 : Type {6,6}_6 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, 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^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S ] R244.38 : Type {6,6}_6 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, 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^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^-3 * S^-3 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^3 * R^3 * S^-1 ] R244.39 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S * R^2 * S^3 * R^3 * S ] R244.40 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2 * S^-1 * R)^2, S^-1 * R * S^-1 * R^-2 * S * R^3 * S^-1 * R * S^3 * R * S^-1, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-2 * S^-2 ] R244.41 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2 * R^2 * S^-1 * R)^2, S^-1 * R * S^-1 * R^-2 * S * R^3 * S^-1 * R * S^3 * R * S^-1 ] R244.42 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1, (R * S^-1)^6, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R ] R244.43 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (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^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R244.44 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1, (R * S^-1)^6, R^2 * S^-3 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R^2 * S^-2 ] R244.45 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R * S^-3 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R244.46 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S, R^-2 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-4 * S * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R * S^-1 ] R244.47 : Type {6,6}_18 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R244.48 : Type {6,6}_54 Order 5832 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R * S^2 * R^2 * S^2 * R^-1 * S^-3 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-3 * R^2 * S * R^-1 * S^-2 ] R244.49 : Type {6,12}_4 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^12, R * S^-3 * R^-2 * S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 ] R244.50 : Type {6,12}_4 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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 * R)^4, (R * S^-1)^6, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R244.51 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (R * S^-1)^6, S^12, R^-1 * S^3 * R * S^-1 * R^2 * S * R^-1 * S^-2 * R * S ] R244.52 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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^-3 * R^2 * S^4 * R^-1, S^12 ] R244.53 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R, S * R * S^-3 * R^2 * S^4 * R^-1 ] R244.54 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-1)^6, S^12, R^-1 * S^3 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 ] R244.55 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^12, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R244.56 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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^12, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^3 * R^-1 * S^-1 * R, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2 ] R244.57 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R244.58 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^12 ] R244.59 : Type {6,12}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^12, S^2 * R * S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 * R * S^2, S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-3 ] R244.60 : Type {6,12}_12 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^12, R^2 * S^-4 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R244.61 : Type {6,12}_12 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-5)^2, S^12, S^-2 * R^2 * S^-2 * R^2 * S^3 * R^-1 * S^-1 * R ] R244.62 : Type {6,12}_12 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S^-2 * R^2 * S^-2 * R^2 * S^3 * R^-1 * S^-1 * R ] R244.63 : Type {6,12}_12 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, R * S^-2 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] R244.64 : Type {6,12}_12 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^12, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R ] R244.65 : Type {6,12}_36 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^12, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R244.66 : Type {6,12}_36 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^12, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^3 * R^-1 * S^2 ] R244.67 : Type {6,12}_36 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^-3 * R ] R244.68 : Type {6,12}_36 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-5)^2, S^12, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-2 * R^-2 * S * R^2 * S^2 * R^-1 * S^-1 * R^2 * S ] R244.69 : Type {6,12}_36 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R244.70 : Type {6,12}_36 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (R * S^-1)^6, S^12 ] R244.71 : Type {6,12}_36 Order 3888 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, S * R^-2 * S * R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S * R * S^-1 * R^-2 ] R244.72 : Type {6,30}_30 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^30 ] R244.73 : Type {6,30}_30 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^30 ] R244.74 : Type {6,30}_30 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, 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^30 ] R244.75 : Type {6,30}_90 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^3 * R^-1 * S^2 ] R244.76 : Type {6,30}_90 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^30 ] R244.77 : Type {6,30}_90 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^30 ] R244.78 : Type {6,30}_90 Order 3240 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S, S^30 ] R244.79 : Type {6,84}_28 Order 3024 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S, S^14 * R * S^-7 * R * S^7 ] R244.80 : Type {6,84}_28 Order 3024 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^14 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^7 ] R244.81 : Type {6,84}_84 Order 3024 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^14 * R^2 * S^4 * R^-1 * S^-1 * R * S^9 ] R244.82 : Type {6,84}_84 Order 3024 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^84 ] R244.83 : Type {6,84}_84 Order 3024 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^84 ] R244.84 : Type {6,84}_84 Order 3024 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^84 ] R244.85 : Type {6,84}_84 Order 3024 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^14 * R^-2 * S^2 * R^-1 * S^-3 * R * S^9 ] R244.86 : Type {6,84}_84 Order 3024 mV = 28 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^84 ] R244.87 : Type {6,246}_246 Order 2952 mV = 82 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^246 ] R244.88 : Type {6,246}_246 Order 2952 mV = 123 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^41 * R * S^-1 * R * S^40 ] R244.89 : Type {6,246}_246 Order 2952 mV = 123 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^246 ] R244.90 : Type {6,732}_244 Order 2928 mV = 732 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^122 * R * S^-1 * R * S^121 ] R244.91 : Type {8,8}_6 Order 3888 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^3 * S^-1)^3, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R244.92 : Type {8,8}_6 Order 3888 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R^3 * S^-1)^3, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R ] R244.93 : Type {8,8}_6 Order 3888 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R^3 * S^-1)^3 ] R244.94 : Type {9,18}_6 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R244.95 : Type {9,18}_6 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-3 * R^2)^2 ] R244.96 : Type {9,18}_6 Order 2916 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S^18 ] R244.97 : Type {9,18}_6 Order 2916 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^18 ] R244.98 : Type {9,18}_6 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-5 * R * S^6 ] R244.99 : Type {9,18}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (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^2 * R^3 * S^2 * R^-1 * S^-1 * R ] R244.100 : Type {9,18}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R244.101 : Type {9,18}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-3 * R^2)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R244.102 : Type {9,18}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R244.103 : Type {9,18}_18 Order 2916 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, 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^18 ] R244.104 : Type {9,18}_18 Order 2916 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, 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, S^18 ] R244.105 : Type {9,18}_18 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, 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^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-3 ] R244.106 : Type {9,18}_18 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, 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^-5 * R * S^6 ] R244.107 : Type {9,18}_18 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, 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^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-5 * R * S^6 ] R244.108 : Type {9,18}_18 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, R^3 * S^-1 * R^3 * S^-5, R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-3 ] R244.109 : Type {9,18}_18 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-5 * R * S^6, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1 * R * S^2, S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 ] R244.110 : Type {9,18}_18 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S ] R244.111 : Type {9,18}_18 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-5 * R * S^6, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R * S^-2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R * S * R^-1 * S^-2 ] R244.112 : Type {9,18}_18 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S ] R244.113 : Type {9,72}_12 Order 2592 mV = 6 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^6 * R * S^-1 * R * S^5 * R^-1 * S^-1 * R * S * R^-1 ] R244.114 : Type {9,72}_12 Order 2592 mV = 6 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R244.115 : Type {9,72}_36 Order 2592 mV = 18 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-3 * R * S^4 ] R244.116 : Type {10,10}_6 Order 3240 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R244.117 : Type {10,16}_8 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R244.118 : Type {10,16}_16 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1 * R^3)^2, S^-6 * R^5 * S^-2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R244.119 : Type {10,124}_620 Order 2480 mV = 62 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^124 ] R244.120 : Type {10,610}_122 Order 2440 mV = 610 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^61 * R^2 * S^61 ] R244.121 : Type {12,24}_8 Order 2592 mV = 2 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^12, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R244.122 : Type {12,24}_24 Order 2592 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, R^12, (R * S^-1 * R^4)^2, R^2 * S^-2 * R^3 * S^-3 * R * S^-1, S^6 * R^6 * S^6 ] R244.123 : Type {12,24}_24 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-1 * R^4 * S^2 * R^-1 * S^-2 ] R244.124 : Type {12,24}_24 Order 2592 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 * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^2 * R * S^-4 * R^3 * S * R^-1 * S^-3 * R * S^2 ] R244.125 : Type {12,24}_24 Order 2592 mV = 4 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, R^12, (R * S^-1 * R^4)^2, S^-5 * R^6 * S^-7 ] R244.126 : Type {12,24}_24 Order 2592 mV = 4 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, R^12, (R * S^-1 * R^4)^2, (R * S^-3 * R^2)^2, S^-5 * R^6 * S^-7 ] R244.127 : Type {12,24}_24 Order 2592 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^12, (R * S^-1 * R^4)^2, (R * S^-1)^6, R * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^3 ] R244.128 : Type {12,24}_24 Order 2592 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^12, (R * S^-1 * R^4)^2, (R * S^-1)^6, R * S^-1 * R * S^-1 * R^4 * S^-2 * R * S * R^-1 * S^-1 ] R244.129 : Type {12,24}_24 Order 2592 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 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, (R * S^-1 * R^4)^2, S^6 * R^6 * S^6 ] R244.130 : Type {12,24}_24 Order 2592 mV = 6 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^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R244.131 : Type {12,24}_24 Order 2592 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^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S^6 * R^6 * S^6 ] R244.132 : Type {12,24}_24 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, R^2 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ] R244.133 : Type {12,24}_72 Order 2592 mV = 4 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, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, S^-5 * R^6 * S^-7 ] R244.134 : Type {12,24}_72 Order 2592 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^3 * S^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, R * S^-6 * R^4 * S^-6 * R ] R244.135 : Type {12,24}_72 Order 2592 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^-3 * R^4 * S * R^-2 * S^-2, S^3 * R * S^-2 * R * S^-1 * R^-2 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ] R244.136 : Type {12,24}_72 Order 2592 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 * S^-2 * R^2 * S^3 * R^-1, R^12, S^-4 * R^-1 * S^2 * R^-1 * S^-6, S^-1 * R * S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-3 * S^-1 * R^2 ] R244.137 : Type {12,51}_102 Order 2448 mV = 17 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^-51 ] R244.138 : Type {12,294}_196 Order 2352 mV = 147 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^49 * R * S^-3 * R * S^46 ] R244.139 : Type {18,63}_42 Order 2268 mV = 21 mF = 3 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^3 * T * R^-13 * T * R^2, S^-11 * R * S^6 * R^-1 * S^-4 ] R244.140 : Type {18,63}_42 Order 2268 mV = 21 mF = 3 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^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, R^3 * S^-1 * R^3 * S * R^-2 * S^-2, S^-11 * R * S^6 * R^-1 * S^-4 ] R244.141 : Type {18,63}_126 Order 2268 mV = 7 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^-1 * S * R^-15 * S, S^-63 ] R244.142 : Type {18,549}_122 Order 2196 mV = 549 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^-1 * S * R^-15 * S, S^-31 * R^2 * S^-30 ] R244.143 : Type {21,42}_18 Order 2268 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^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2, R^14 * S^-1 * R^2 * S^-1 * R^3 ] R244.144 : Type {30,60}_4 Order 2160 mV = 15 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, (R * S^-1 * R * S^-1 * R)^2, S * R^2 * S^-2 * R^2 * S^5 ] R244.145 : Type {30,60}_4 Order 2160 mV = 15 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, R^-1 * S * R^-5 * S * R^-11 * S * R^-1 * S^3 * R^-3 * S^2 * R^-1 ] R244.146 : Type {30,60}_12 Order 2160 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^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^-5 * R * S^6 ] R244.147 : Type {30,60}_12 Order 2160 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^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, S * R^7 * S * R^-5, S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-2 * S * R^-7 * S * R^-3 * S * R^-3 * S^2 * R^-2 ] R244.148 : Type {30,60}_12 Order 2160 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^7 * S * R^-5, S * R * S^-5 * R * S^6, R^3 * S^-1 * R * S^-2 * R^3 * S^-1 * R^10 * S^-1 * R^5 * S^-1 * R^2 ] R244.149 : Type {30,60}_12 Order 2160 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2 ] R244.150 : Type {30,60}_12 Order 2160 mV = 15 mF = 5 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, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R244.151 : Type {30,60}_12 Order 2160 mV = 20 mF = 5 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 * R * S^-5 * R * S^6, S^-1 * R^4 * S^-2 * T * R^-1 * S^3 * R^-8 * S * T * S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-1 * R ] R244.152 : Type {36,45}_6 Order 2160 mV = 9 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S^4, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] R244.153 : Type {36,45}_30 Order 2160 mV = 15 mF = 9 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^2 * R * S^-11 * R * S^2 ] R244.154 : Type {40,130}_104 Order 2080 mV = 65 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^-1 * T * S^-1 * R^10 * S^-1 * T * R^-1 * S * R^-1 * S * R^-1, S^13 * R^-1 * S^-8 * R * S^5 ] R244.155 : Type {57,114}_6 Order 2052 mV = 19 mF = 19 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^-1 * S^23 * R^-1 * S * R^-4 * S^3 * R^-1 * S * R^-10 * S * R^-2 * S * R^-1 * S * R^-2 * S^2 * R^-1 * S ] R244.156 : Type {72,252}_56 Order 2016 mV = 126 mF = 36 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^7 * R^-4 * S^7 ] R244.157 : Type {84,168}_24 Order 2016 mV = 56 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^-2 * R^-1 * S^11 * R^-1 * S^-11, S^-8 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^4 * S^-5 ] R244.158 : Type {84,168}_24 Order 2016 mV = 84 mF = 14 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^7 * S * R^-5, R^2 * S^-7 * R^5 * S^-1 * R^8 * S^-1 * R^4 * S^-1 * R * S^-6 * R^2 * S^-2 * R^2 ] R244.159 : Type {84,168}_24 Order 2016 mV = 84 mF = 42 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^7 * S * R^-5, S^-2 * R^-1 * S * R * S^-2 * R^4 * S^-7 ] R244.160 : Type {85,85}_6 Order 2040 mV = 17 mF = 17 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R^3 * S^-1 * R^7 * S^-3 * R^2 ] R244.161 : Type {124,496}_16 Order 1984 mV = 496 mF = 62 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^7 * R^-11 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R244.162 : Type {165,330}_6 Order 1980 mV = 165 mF = 55 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^104 * S^-15 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-16 ] R244.163 : Type {246,492}_4 Order 1968 mV = 492 mF = 123 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^184 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R244.164 : Type {489,978}_2 Order 1956 mV = 978 mF = 489 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^235 * R^-2 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * R^-231 * S ] R244.165 : Type {490,490}_2 Order 1960 mV = 490 mF = 490 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^235 * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R^2 * S^-234 ] R244.166 : Type {976,976}_2 Order 1952 mV = 976 mF = 976 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^232 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R * S^-234 * R ] Genus 245 R245.1 : Type {4,65}_130 Order 4160 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-65 ] R245.2 : Type {4,126}_252 Order 4032 mV = 21 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^126 ] R245.3 : Type {4,248}_124 Order 3968 mV = 62 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^62 * R^2 * S * R^-1 * S^-1 * R * S^60 ] R245.4 : Type {4,248}_248 Order 3968 mV = 62 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^248 ] R245.5 : Type {4,492}_492 Order 3936 mV = 246 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^492 ] R245.6 : Type {4,980}_490 Order 3920 mV = 980 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^245 * R^2 * S^245 ] R245.7 : Type {6,64}_192 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^64 ] R245.8 : Type {6,64}_192 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^16 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^11 ] R245.9 : Type {6,186}_124 Order 2976 mV = 62 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^31 * R * S^-1 * R^2 * S^-1 * R * S^29 ] R245.10 : Type {6,735}_490 Order 2940 mV = 735 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-123 * R * S * R^-1 * S^-121 ] R245.11 : Type {8,84}_42 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^21 * R^3 * S^-3 * R * S^18 ] R245.12 : Type {8,84}_84 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^84 ] R245.13 : Type {8,84}_84 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^21 * R * S^-1 * R * S^4 * R^-1 * S^-3 * R^-1 * S^13 ] R245.14 : Type {8,84}_84 Order 2688 mV = 21 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^84 ] R245.15 : Type {8,84}_84 Order 2688 mV = 28 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^84 ] R245.16 : Type {8,84}_84 Order 2688 mV = 28 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^21 * R * S^-2 * R * S^19 ] R245.17 : Type {8,84}_168 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^21 * R^4 * S^21 ] R245.18 : Type {8,84}_168 Order 2688 mV = 21 mF = 2 Defining relations for automorphism group: [ R^8, 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^84 ] R245.19 : Type {8,328}_164 Order 2624 mV = 164 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^82 * R * S^-1 * R * S^81 ] R245.20 : Type {8,328}_164 Order 2624 mV = 164 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^82 * R^4 * S^3 * T * S^-2 * T * S^77 ] R245.21 : Type {10,33}_110 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R * S^-2 * R^-3 * S * R^-4 * S^8 ] R245.22 : Type {12,100}_300 Order 2400 mV = 50 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^100 ] R245.23 : Type {12,588}_98 Order 2352 mV = 588 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^49 * R^2 * S^49 ] R245.24 : Type {16,72}_144 Order 2304 mV = 9 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^72 ] R245.25 : Type {16,72}_144 Order 2304 mV = 9 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^16, S^72 ] R245.26 : Type {16,72}_144 Order 2304 mV = 18 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^16, S^18 * R^3 * S^-2 * R * S^5 * R^-4 * S^11 ] R245.27 : Type {16,72}_144 Order 2304 mV = 18 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^18 * R^2 * S^2 * R^-1 * S^-3 * R * S^13 ] R245.28 : Type {16,72}_144 Order 2304 mV = 18 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^16, S^18 * R^4 * S * R^-1 * S^-5 * R^2 * S^-1 * R^-1 * S^11 ] R245.29 : Type {16,72}_144 Order 2304 mV = 18 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^72 ] R245.30 : Type {16,72}_144 Order 2304 mV = 36 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^16, S^18 * R * S^-1 * R * S^17 ] R245.31 : Type {16,72}_144 Order 2304 mV = 36 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^72 ] R245.32 : Type {16,560}_70 Order 2240 mV = 560 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^16, S^35 * R * S^-2 * R * S^33 ] R245.33 : Type {16,560}_140 Order 2240 mV = 560 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^16, S^35 * R * S^-6 * R * S^29 ] R245.34 : Type {22,539}_98 Order 2156 mV = 539 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^-1 * S * R^-1 * S * R^-18, S^-25 * R * S^8 * R^-1 * S^-16 ] R245.35 : Type {28,35}_10 Order 2240 mV = 7 mF = 7 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^-4 * R * S^5, S * R * S^-2 * R^-3 * S * R^-2 * S * R^-2, S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 ] R245.36 : Type {44,66}_12 Order 2112 mV = 11 mF = 11 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 * R * S^-5 * R * S^6, S * R^-2 * S * R^-1 * S * R^-1 * S * R^-10 * S^4 ] R245.37 : Type {65,65}_4 Order 2080 mV = 13 mF = 13 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^45 * S^-1 * R * S^-1 * R^11 * S^-2 ] R245.38 : Type {72,504}_14 Order 2016 mV = 504 mF = 36 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^-6 * R * S^2, S^14 * R^-14 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R245.39 : Type {72,504}_28 Order 2016 mV = 504 mF = 36 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^22 * S^-7 ] R245.40 : Type {126,126}_4 Order 2016 mV = 42 mF = 42 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^101 * R^-2 * S * R^-1 * S^2 * R^-13 * S * R^-1 * S ] R245.41 : Type {142,497}_14 Order 1988 mV = 497 mF = 71 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^-6 * R * S^2, S * R^-1 * S^8 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R245.42 : Type {198,495}_10 Order 1980 mV = 495 mF = 99 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 * R^-1 * S^36 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R245.43 : Type {248,248}_4 Order 1984 mV = 124 mF = 124 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^187 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-17 * S ] R245.44 : Type {248,248}_4 Order 1984 mV = 124 mF = 124 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^92 * S^-2 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R245.45 : Type {491,982}_2 Order 1964 mV = 982 mF = 491 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^234 * R^-2 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * R^-235 ] R245.46 : Type {492,492}_2 Order 1968 mV = 492 mF = 492 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^472 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R * T ] R245.47 : Type {980,980}_2 Order 1960 mV = 980 mF = 980 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^235 * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R^2 * S^-233 * R ] Genus 246 R246.1 : Type {3,21}_28 Order 8232 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-21 ] R246.2 : Type {4,14}_28 Order 5488 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^14 ] R246.3 : Type {4,14}_28 Order 5488 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^14 ] R246.4 : Type {4,249}_498 Order 3984 mV = 83 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-249 ] R246.5 : Type {4,494}_988 Order 3952 mV = 247 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^494 ] R246.6 : Type {4,984}_984 Order 3936 mV = 984 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^246 * R^2 * S^246 ] R246.7 : Type {6,248}_744 Order 2976 mV = 124 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^248 ] R246.8 : Type {8,166}_664 Order 2656 mV = 83 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^166 ] R246.9 : Type {10,27}_54 Order 2700 mV = 9 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-27 ] R246.10 : Type {10,125}_250 Order 2500 mV = 25 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-125 ] R246.11 : Type {10,615}_246 Order 2460 mV = 615 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-62 * R^2 * S^-61 ] R246.12 : Type {14,14}_14 Order 2744 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^14, S^14 ] R246.13 : Type {14,14}_14 Order 2744 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^14, S^14 ] R246.14 : Type {14,14}_14 Order 2744 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (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^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^14, (R * S^-1 * R^5)^2 ] R246.15 : Type {14,84}_84 Order 2352 mV = 12 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^84 ] R246.16 : Type {14,84}_84 Order 2352 mV = 42 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^14, S * R * S^-5 * R * S^6 ] R246.17 : Type {14,84}_84 Order 2352 mV = 42 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^84 ] R246.18 : Type {14,574}_82 Order 2296 mV = 574 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^41 * R * S^-5 * R * S^36 ] R246.19 : Type {15,40}_60 Order 2400 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^3 * S^2 * R^-2, (R * S^-2 * R * S^-1)^2, R^-15 ] R246.20 : Type {20,24}_24 Order 2400 mV = 4 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, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^2 * R * S^-4 * R^4 * S^-4 * R * S^2 ] R246.21 : Type {20,24}_24 Order 2400 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^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S * R^-3 ] R246.22 : Type {20,24}_24 Order 2400 mV = 8 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^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R^9 * S^2 * R^-1 * S^2, S^-4 * R^-1 * S^2 * R^-1 * S^-6 ] R246.23 : Type {21,28}_42 Order 2352 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^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^3 * S^-1 * R^4 * S^-1 * R * S^-1 * R * S^-1 * R, R^-21 ] R246.24 : Type {24,24}_14 Order 2352 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, R^3 * S^-1 * R^3 * S^-2 * R * S^-2 ] R246.25 : Type {26,533}_82 Order 2132 mV = 533 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-21 * R * S * R^-1 * S^-19 ] R246.26 : Type {28,266}_76 Order 2128 mV = 133 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^23 * S^-1 * R * S^-1 * R^2, S^19 * R^-1 * S^-12 * R * S^7 ] R246.27 : Type {40,260}_104 Order 2080 mV = 130 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^-1 * T * S^-1 * R^10 * S^-1 * T * R^-1 * S * R^-1 * S * R^-1, S^13 * R^2 * S * R^-1 * S^-7 * R * S^5 ] R246.28 : Type {48,66}_176 Order 2112 mV = 33 mF = 24 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, R^-14 * S^-1 * R * S^-1 * R^-1, S^11 * R * S^-1 * R * S^10 ] R246.29 : Type {166,498}_6 Order 1992 mV = 498 mF = 83 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^103 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R246.30 : Type {249,249}_4 Order 1992 mV = 83 mF = 83 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^67 * S^-2 * R^14 * S^-1 * R * S^-161 * R ] R246.31 : Type {493,986}_2 Order 1972 mV = 986 mF = 493 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^230 * R^-1 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * R^-242 ] R246.32 : Type {494,494}_2 Order 1976 mV = 494 mF = 494 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^241 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R^2 * S^-231 ] R246.33 : Type {984,984}_2 Order 1968 mV = 984 mF = 984 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^471 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R * T ] Genus 247 R247.1 : Type {4,168}_56 Order 4032 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^28 * R^2 * S^3 * R^-1 * S^-1 * R * S^24 ] R247.2 : Type {4,168}_56 Order 4032 mV = 28 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^-14 * R^-2 * S^-1 * R * S^7 * R^-1 * S^-6 ] R247.3 : Type {4,496}_496 Order 3968 mV = 248 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^124 * R * S^-1 * R * S^123 ] R247.4 : Type {4,496}_496 Order 3968 mV = 248 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^496 ] R247.5 : Type {4,988}_494 Order 3952 mV = 988 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^247 * R^2 * S^247 ] R247.6 : Type {6,249}_498 Order 2988 mV = 83 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-249 ] R247.7 : Type {6,741}_494 Order 2964 mV = 741 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-124 * R^2 * S^-123 ] R247.8 : Type {8,30}_6 Order 2880 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R247.9 : Type {8,30}_12 Order 2880 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R247.10 : Type {12,27}_216 Order 2592 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-27 ] R247.11 : Type {12,150}_200 Order 2400 mV = 50 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^-14 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-8 ] R247.12 : Type {14,16}_6 Order 2688 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^4 * S * R^-1 * S^-3, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^3, R * S^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R247.13 : Type {14,16}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, (S^-1 * R^2 * S^-1)^3, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^14 ] R247.14 : Type {14,16}_8 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^14, (R * S^-1 * R^5)^2 ] R247.15 : Type {14,16}_12 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S * R^-1 * S * R^4 * S * R^-1 * S^3, (R * S^-1)^6, R^14 ] R247.16 : Type {24,32}_32 Order 2304 mV = 8 mF = 4 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, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S * R^7 * S * R^-5, S^-6 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R247.17 : Type {24,32}_32 Order 2304 mV = 8 mF = 4 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, (R * S^-1 * R^4)^2, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-6 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R247.18 : Type {28,40}_280 Order 2240 mV = 20 mF = 7 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^10 * R * S^-1 * R * S^9, R^28 ] R247.19 : Type {28,40}_280 Order 2240 mV = 20 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^40 ] R247.20 : Type {28,532}_38 Order 2128 mV = 532 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^23 * S^-1 * R * S^-1 * R^2, S^19 * R * S^-4 * R * S^15 ] R247.21 : Type {36,60}_90 Order 2160 mV = 30 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, (R * S^-1 * R^4)^2, R^-4 * S^-2 * R^-1 * S * R^12 * S^7 * R^-1 ] R247.22 : Type {36,60}_90 Order 2160 mV = 30 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R * S^-6 * R^7 * S^3 * T * R^3 * S^2 * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R247.23 : Type {40,520}_26 Order 2080 mV = 520 mF = 20 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^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-6 * S, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R247.24 : Type {40,520}_52 Order 2080 mV = 520 mF = 20 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^-5 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-6 * S, S^13 * R * S^-2 * R * S^11 ] R247.25 : Type {54,513}_38 Order 2052 mV = 513 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^-8 * R^8 * S^-11 ] R247.26 : Type {126,252}_8 Order 2016 mV = 84 mF = 42 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^-1 * S^38 * R^-4 * S^2 * R^-2 * S * R^-1 * S * R^-11 * S^2 ] R247.27 : Type {168,168}_6 Order 2016 mV = 84 mF = 56 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^107 * S^-15 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-16 ] R247.28 : Type {168,168}_6 Order 2016 mV = 84 mF = 84 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^-3 * R^22 * S^-2 * R^5 * S^-1 * R^13 * S^-8 ] R247.29 : Type {168,168}_12 Order 2016 mV = 84 mF = 56 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^7 * S * R^-5, R^27 * S^-13 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-15 * R ] R247.30 : Type {168,168}_12 Order 2016 mV = 84 mF = 84 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^7 * S * R^-5, S * R * S^-5 * R * S^6, S^-4 * R^3 * S^-1 * R^12 * S^-1 * R^3 * S^-4 ] R247.31 : Type {495,990}_2 Order 1980 mV = 990 mF = 495 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^472 * R^-2 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * R^-1 ] R247.32 : Type {496,496}_2 Order 1984 mV = 496 mF = 496 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^475 * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R^2 ] R247.33 : Type {496,496}_4 Order 1984 mV = 496 mF = 496 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^186 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R247.34 : Type {988,988}_2 Order 1976 mV = 988 mF = 988 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^241 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R^2 * S^-230 * R ] Genus 248 R248.1 : Type {4,498}_996 Order 3984 mV = 249 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^498 ] R248.2 : Type {4,992}_992 Order 3968 mV = 992 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^248 * R^2 * S^248 ] R248.3 : Type {6,250}_750 Order 3000 mV = 125 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^250 ] R248.4 : Type {6,744}_248 Order 2976 mV = 744 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^124 * R^2 * S^124 ] R248.5 : Type {8,332}_664 Order 2656 mV = 166 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^83 * R^4 * S^3 * T * S^-2 * T * S^78 ] R248.6 : Type {10,126}_630 Order 2520 mV = 63 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^126 ] R248.7 : Type {10,620}_124 Order 2480 mV = 620 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^62 * R * S^-1 * R * S^61 ] R248.8 : Type {12,200}_600 Order 2400 mV = 100 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^50 * R^-4 * S^2 * T * R * S^2 * R * T * S^46 ] R248.9 : Type {18,64}_576 Order 2304 mV = 32 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^64 ] R248.10 : Type {18,558}_62 Order 2232 mV = 558 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^-1 * S * R^-15 * S, S^31 * R * S^-3 * R * S^28 ] R248.11 : Type {20,112}_560 Order 2240 mV = 56 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^28 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^19 ] R248.12 : Type {24,92}_552 Order 2208 mV = 46 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^23 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^12 ] R248.13 : Type {32,68}_544 Order 2176 mV = 34 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^17 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R248.14 : Type {34,527}_62 Order 2108 mV = 527 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^27 * S^-1 * R * S^-1 * R^4, S^-16 * R * S^7 * R^-1 * S^-8 ] R248.15 : Type {102,170}_30 Order 2040 mV = 85 mF = 51 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^7 * S * R^-5, S^-3 * R^2 * S^-1 * R^-3 * S^4 * R^-1 * S^-2, R^2 * S^-1 * R * S^-2 * R^5 * S^-1 * R^8 * S^-1 * R^2 * S^-3 * R * S^-4 * R^3 ] R248.16 : Type {126,504}_8 Order 2016 mV = 504 mF = 63 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^64 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R248.17 : Type {250,500}_4 Order 2000 mV = 500 mF = 125 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^188 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R248.18 : Type {497,994}_2 Order 1988 mV = 994 mF = 497 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^233 * R^-2 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * R^-241 * S ] R248.19 : Type {498,498}_2 Order 1992 mV = 498 mF = 498 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^243 * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R^2 * S^-234 ] R248.20 : Type {992,992}_2 Order 1984 mV = 992 mF = 992 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^475 * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R * S^-1 ] Genus 249 R249.1 : Type {4,35}_140 Order 4480 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-35 ] R249.2 : Type {4,66}_66 Order 4224 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^66 ] R249.3 : Type {4,66}_264 Order 4224 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^66 ] R249.4 : Type {4,128}_128 Order 4096 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^128 ] R249.5 : Type {4,128}_128 Order 4096 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^32 * R * S^-3 * R * S^29 ] R249.6 : Type {4,128}_128 Order 4096 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^32 * R * S^-3 * R * S^29 ] R249.7 : Type {4,128}_128 Order 4096 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^32 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^23 ] R249.8 : Type {4,252}_126 Order 4032 mV = 84 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^63 * R * S^-2 * R * S^61 ] R249.9 : Type {4,252}_252 Order 4032 mV = 63 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^252 ] R249.10 : Type {4,252}_252 Order 4032 mV = 84 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^252 ] R249.11 : Type {4,500}_500 Order 4000 mV = 250 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^500 ] R249.12 : Type {4,996}_498 Order 3984 mV = 996 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^249 * R^2 * S^249 ] R249.13 : Type {6,65}_52 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-6 * R * S^2 ] R249.14 : Type {6,65}_130 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^-2 * R^-1 * S * R * S^-3 * R^-2 * S^-7 ] R249.15 : Type {6,96}_32 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^16 * R * S^-1 * R * S^2 * R^-2 * S^13 ] R249.16 : Type {8,44}_44 Order 2816 mV = 11 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^44 ] R249.17 : Type {8,44}_88 Order 2816 mV = 11 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^44 ] R249.18 : Type {8,44}_88 Order 2816 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, 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^44 ] R249.19 : Type {8,44}_88 Order 2816 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^44 ] R249.20 : Type {8,168}_42 Order 2688 mV = 56 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^21 * R^3 * S^-3 * R * S^18 ] R249.21 : Type {8,168}_84 Order 2688 mV = 42 mF = 2 Defining relations for automorphism group: [ R^8, 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^42 * R^4 * S^42 ] R249.22 : Type {8,168}_84 Order 2688 mV = 56 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^21 * R * S^-2 * R * S^19 ] R249.23 : Type {8,168}_168 Order 2688 mV = 42 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^42 * R^2 * S^2 * R^-1 * S^-3 * R * S^37 ] R249.24 : Type {8,168}_168 Order 2688 mV = 42 mF = 2 Defining relations for automorphism group: [ R^8, 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^42 * R^3 * S^-2 * R * S^40 ] R249.25 : Type {8,168}_168 Order 2688 mV = 42 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^168 ] R249.26 : Type {8,168}_168 Order 2688 mV = 56 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^42 * R^4 * S^42 ] R249.27 : Type {8,168}_168 Order 2688 mV = 56 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^42 * R * S^-2 * R * S^40 ] R249.28 : Type {8,168}_168 Order 2688 mV = 84 mF = 2 Defining relations for automorphism group: [ R^8, 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^42 * R * S^-1 * R * S^41 ] R249.29 : Type {8,168}_168 Order 2688 mV = 84 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^168 ] R249.30 : Type {8,664}_166 Order 2656 mV = 664 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^83 * R * S^-2 * R * S^81 ] R249.31 : Type {8,664}_332 Order 2656 mV = 664 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^83 * R^2 * S^83 ] R249.32 : Type {12,21}_56 Order 2688 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^4 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 ] R249.33 : Type {12,52}_78 Order 2496 mV = 13 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^13 * R^-3 * S^-1 * R^2 * S^-5 * R^-1 * S^7 ] R249.34 : Type {12,52}_156 Order 2496 mV = 13 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^13 * R^2 * S^2 * R^-1 * S^-1 * R * S^10 ] R249.35 : Type {12,52}_156 Order 2496 mV = 13 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^52 ] R249.36 : Type {12,300}_100 Order 2400 mV = 150 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^50 * R * S^-1 * R * S^49 ] R249.37 : Type {14,581}_166 Order 2324 mV = 581 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^-42 * R * S^3 * R^-1 * S^-38 ] R249.38 : Type {16,20}_20 Order 2560 mV = 5 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^16, (R * S^-1 * R^6)^2, S^20 ] R249.39 : Type {16,20}_40 Order 2560 mV = 5 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^20 ] R249.40 : Type {16,20}_80 Order 2560 mV = 5 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^20 ] R249.41 : Type {16,20}_80 Order 2560 mV = 5 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, S^20 ] R249.42 : Type {16,20}_80 Order 2560 mV = 5 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^20 ] R249.43 : Type {16,20}_80 Order 2560 mV = 5 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, R^16, S^20 ] R249.44 : Type {16,144}_18 Order 2304 mV = 48 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^9 * R * S^-1 * R * S * R^-2 * S^7 ] R249.45 : Type {16,144}_18 Order 2304 mV = 48 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, R^16, S^9 * R * S^-1 * R * S * R^-2 * S^7 ] R249.46 : Type {16,144}_36 Order 2304 mV = 36 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^18 * R^4 * S^18 ] R249.47 : Type {16,144}_36 Order 2304 mV = 36 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^18 * R^3 * S^-4 * R * S^14 ] R249.48 : Type {16,144}_36 Order 2304 mV = 48 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, R^16, S^9 * R^3 * S^-3 * R * S^6 ] R249.49 : Type {16,144}_36 Order 2304 mV = 48 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^9 * R^3 * S^-3 * R * S^6 ] R249.50 : Type {16,144}_72 Order 2304 mV = 36 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^18 * R^2 * S * R^-1 * S^-5 * R * S^12 ] R249.51 : Type {16,144}_72 Order 2304 mV = 36 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^18 * R^4 * S^18 ] R249.52 : Type {16,144}_72 Order 2304 mV = 36 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^16, S^36 * R * S^-3 * R * S^33 ] R249.53 : Type {16,144}_72 Order 2304 mV = 36 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^36 * R * S^-3 * R * S^33 ] R249.54 : Type {16,144}_72 Order 2304 mV = 72 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^18 * R * S^-1 * R * S^17 ] R249.55 : Type {16,144}_72 Order 2304 mV = 72 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^18 * R * S^-5 * R * S^13 ] R249.56 : Type {16,144}_72 Order 2304 mV = 72 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^36 * R * S^-1 * R * S^35 ] R249.57 : Type {16,144}_72 Order 2304 mV = 72 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^36 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S^29 ] R249.58 : Type {18,72}_8 Order 2304 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^-1 * S * R^4 * S^4 * R^-1 * S^-1, R * S^-3 * T * S^3 * R^-2 * S * R^-4 * S^2 * T * R * S^-1 ] R249.59 : Type {18,72}_16 Order 2304 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^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, S^-5 * R^-2 * S^-5 * R ] R249.60 : Type {20,140}_28 Order 2240 mV = 35 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, R^-1 * S * R^-1 * T * S^-1 * R^9 * S^-2 * T * R^-1 * S^2 * R^-2, S^14 * R * S^-3 * R * S^11 ] R249.61 : Type {35,35}_8 Order 2240 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^2 * S^-1 * R^2 * S^2 * R^-1 * S, R * S^-10 * R^2 * S^-2 * R * S^-2 * R^2 * S^-1 * R^9 * S^-5 ] R249.62 : Type {44,132}_6 Order 2112 mV = 44 mF = 11 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^4 * S^-2 * R * S^-1 * R^5 * S^-1 * R^12 * S^-1 * R^3 * S^-4 * R^2 * S^-4 * R^2 * S^-1 * R ] R249.63 : Type {44,132}_12 Order 2112 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^4 * R * S^-2 * R^2 * S^-2 * R * S^4, R^-5 * S^2 * R^-3 * S * R^-4 * S * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-5 ] R249.64 : Type {44,132}_12 Order 2112 mV = 44 mF = 11 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 * R * S^-5 * R * S^6, S * R^-2 * S * R^-1 * S * R^-1 * S * R^-11 * S^2 * R^-1 ] R249.65 : Type {52,260}_20 Order 2080 mV = 130 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^9 * R^-1 * S^-9, R^-1 * S * R^-11 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-12 * S ] R249.66 : Type {66,66}_4 Order 2112 mV = 11 mF = 11 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^-49 * R^11 * S^-1 * R^2 ] R249.67 : Type {66,66}_8 Order 2112 mV = 11 mF = 11 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^-49 * S * R^-3 * S * R^-10 * S^2 ] R249.68 : Type {128,128}_4 Order 2048 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, R^2 * S^-1 * R^96 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R249.69 : Type {128,128}_4 Order 2048 mV = 32 mF = 32 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^33 * S^-1 * R^4 * S^-1 * R^3 * S^-1 * R^11 * S^-1 * R^2 * S^-2 * R * S^-2 ] R249.70 : Type {128,128}_8 Order 2048 mV = 32 mF = 32 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^19 * R^-6 * S * R^-1 * S * R^-1 * S * R^-3 * S^2 * R^-1 * T * S^-1 * R^7 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-1 * S * R^-1 * S * R^-4 * S ] R249.71 : Type {128,128}_8 Order 2048 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * S^-2 * R^31 * S^-8 * R^10 * S^-2 * R * S^-3 * R * S^-1 * R * S^-2 ] R249.72 : Type {128,128}_8 Order 2048 mV = 32 mF = 64 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 * R^-1 * S^17 * R^-6 * S * R^-1 * S * R^-1 * S * R^-3 * S^2 * R^-1 * T * S^-1 * R^7 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-1 * S * R^-1 * S * R^-5 ] R249.73 : Type {128,128}_8 Order 2048 mV = 32 mF = 64 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^65 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R249.74 : Type {128,128}_16 Order 2048 mV = 32 mF = 64 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^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-4 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * T * S^-1 * R^7 * S^-1 * R^2 * S^-1 * T * S^2 * R^-1 * S^4 * R^-1 * S * R^-1 * S * R^-5 ] R249.75 : Type {128,128}_16 Order 2048 mV = 32 mF = 64 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^8 * R^-12 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R249.76 : Type {252,252}_4 Order 2016 mV = 84 mF = 84 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^101 * R^-2 * S * R^-1 * S^2 * R^-14 * S * R^-1 ] R249.77 : Type {252,252}_4 Order 2016 mV = 84 mF = 84 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^162 * R^-1 * S * R^-14 * S^2 * R^-68 * S * R^-1 ] R249.78 : Type {252,252}_4 Order 2016 mV = 126 mF = 126 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^191 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-17 * S ] R249.79 : Type {334,501}_6 Order 2004 mV = 501 mF = 167 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^105 * R^-17 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R249.80 : Type {499,998}_2 Order 1996 mV = 998 mF = 499 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^234 * R^-2 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * R^-243 ] R249.81 : Type {500,500}_2 Order 2000 mV = 500 mF = 500 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^242 * T * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R^2 * S^-234 * R ] R249.82 : Type {996,996}_2 Order 1992 mV = 996 mF = 996 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^243 * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R^2 * S^-233 * R ] Genus 250 R250.1 : Type {4,502}_1004 Order 4016 mV = 251 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^502 ] R250.2 : Type {4,1000}_1000 Order 4000 mV = 1000 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^250 * R^2 * S^250 ] R250.3 : Type {6,252}_252 Order 3024 mV = 84 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^252 ] R250.4 : Type {6,252}_252 Order 3024 mV = 126 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^252 ] R250.5 : Type {6,750}_250 Order 3000 mV = 750 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^125 * R * S^-1 * R * S^124 ] R250.6 : Type {12,102}_204 Order 2448 mV = 17 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^102 ] R250.7 : Type {12,102}_204 Order 2448 mV = 51 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^17 * R * S^-1 * R * S^16 ] R250.8 : Type {12,102}_204 Order 2448 mV = 51 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^102 ] R250.9 : Type {12,600}_200 Order 2400 mV = 600 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^50 * R * S^-4 * R * S^46 ] R250.10 : Type {22,52}_572 Order 2288 mV = 26 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^52 ] R250.11 : Type {22,550}_50 Order 2200 mV = 550 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^-1 * S * R^-1 * S * R^-18, S^25 * R * S^-2 * R * S^23 ] R250.12 : Type {24,138}_184 Order 2208 mV = 69 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^23 * R * S^-1 * R * S^22 ] R250.13 : Type {30,180}_36 Order 2160 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, R^25 * S^-1 * R * S^-1 * R^2, S^18 * R * S^-2 * R * S^16 ] R250.14 : Type {30,180}_36 Order 2160 mV = 90 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^18 * R^-2 * S * R^-2 * S^17 ] R250.15 : Type {36,90}_60 Order 2160 mV = 15 mF = 18 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^-3 * S * R^-1 * S * R^-27 * S, S^15 * R * S^-5 * R * S^10 ] R250.16 : Type {36,90}_60 Order 2160 mV = 45 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^7 * S * R^-5, R^-3 * S^3 * R^-4 * S^7 * R^-1 ] R250.17 : Type {42,525}_50 Order 2100 mV = 525 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^31 * S^-1 * R * S^-1 * R^8, S^-13 * R * S^2 * R^-1 * S^-10 ] R250.18 : Type {45,60}_18 Order 2160 mV = 15 mF = 15 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^-11 * S * R^-2 * S ] R250.19 : Type {48,132}_176 Order 2112 mV = 66 mF = 24 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, R^-14 * S^-1 * R * S^-1 * R^-1, S^11 * R^4 * S^3 * R^-1 * S^-1 * R * S * R^-2 * S^6 ] R250.20 : Type {52,520}_40 Order 2080 mV = 520 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^-9 * R^6 * S^-11 ] R250.21 : Type {102,510}_10 Order 2040 mV = 510 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^-4 * R * S^5, S^40 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R250.22 : Type {114,171}_18 Order 2052 mV = 57 mF = 57 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^8 * R^-1 * S^-8, S^7 * R^-7 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-15 * S^2 ] R250.23 : Type {202,505}_10 Order 2020 mV = 505 mF = 101 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 * R^-1 * S^37 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R250.24 : Type {252,504}_8 Order 2016 mV = 504 mF = 126 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^67 * R^-15 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R250.25 : Type {501,1002}_2 Order 2004 mV = 1002 mF = 501 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^235 * R^-2 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * T * R^-241 * S ] R250.26 : Type {502,502}_2 Order 2008 mV = 502 mF = 502 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^480 * S^-2 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R * S^-1 ] R250.27 : Type {1000,1000}_2 Order 2000 mV = 1000 mF = 1000 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^242 * T * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R^2 * S^-235 ] Genus 251 R251.1 : Type {4,6}_6 Order 12000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (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^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^-3 * R^-2 * S^3 * R^2 * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R251.2 : Type {4,6}_30 Order 12000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^10 ] R251.3 : Type {4,24}_120 Order 4800 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^10, S^24 ] R251.4 : Type {4,24}_120 Order 4800 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^-2 * R^2 * S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1, R^-1 * S * R^-1 * S^-3 * 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^-3 ] R251.5 : Type {4,44}_110 Order 4400 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^10, S^5 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-5 * R * S^5 ] R251.6 : Type {4,504}_504 Order 4032 mV = 252 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^126 * R * S^-1 * R * S^125 ] R251.7 : Type {4,504}_504 Order 4032 mV = 252 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^504 ] R251.8 : Type {4,1004}_502 Order 4016 mV = 1004 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^251 * R^2 * S^251 ] R251.9 : Type {6,6}_4 Order 6000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^-1 * R^-3 * S^-3 * R^3 * S^3 * R^3 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ] R251.10 : Type {6,6}_20 Order 6000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-3 * S^-3 * R^-3 * S^-3 * R^-3 * S^3 * R^3 * S^3 * R^3 * S^-1 ] R251.11 : Type {6,28}_70 Order 3360 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-6 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R251.12 : Type {6,33}_110 Order 3300 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-2 * S * R^-2 * S * R^-2 * S * R^3 * S^-6 * R * S * R^-2 * S ] R251.13 : Type {6,753}_502 Order 3012 mV = 753 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-126 * R * S * R^-1 * S^-124 ] R251.14 : Type {8,16}_80 Order 3200 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R251.15 : Type {8,16}_80 Order 3200 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, (R * S^-1)^10 ] R251.16 : Type {8,336}_336 Order 2688 mV = 168 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^84 * R^4 * S^3 * T * S^-2 * T * S^79 ] R251.17 : Type {8,336}_336 Order 2688 mV = 168 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^84 * R * S^-1 * R * S^83 ] R251.18 : Type {15,60}_40 Order 2400 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^3 * S^2 * R^-2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-15, S * R^-7 * S * R^-1 * S^4 * R^-1 ] R251.19 : Type {20,30}_10 Order 2400 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R251.20 : Type {20,30}_20 Order 2400 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^-4 * S * R^-2 * S^3 ] R251.21 : Type {20,30}_20 Order 2400 mV = 10 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^6 * S * R^-4, S^-1 * R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1 * R ] R251.22 : Type {20,30}_30 Order 2400 mV = 2 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, S^30 ] R251.23 : Type {20,30}_30 Order 2400 mV = 5 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, (R * S^-3 * R)^2, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-9 * S * R^-1 * S * R^-1 * S^-1 * R ] R251.24 : Type {20,30}_30 Order 2400 mV = 5 mF = 5 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^9 * S^-2 * R * S^-2, S^30 ] R251.25 : Type {20,280}_56 Order 2240 mV = 140 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, R^-1 * S * R^-1 * T * S^-1 * R^9 * S^-2 * T * R^-1 * S^2 * R^-2, S^14 * R^2 * S^3 * R^-1 * S^-3 * R * S^8 ] R251.26 : Type {20,280}_56 Order 2240 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, R^-1 * S * R^-17 * S, S^28 * R^-1 * S^-8 * R * S^20 ] R251.27 : Type {24,24}_10 Order 2400 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^-2 * S^-1 * T * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * T * S^-1 * R * S^-1, R^-2 * S^7 * R^-9 * S^2 * R^-1 * S^3 ] R251.28 : Type {24,24}_10 Order 2400 mV = 8 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^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R, R * S^-3 * R^16 * S^-3 * R ] R251.29 : Type {24,24}_20 Order 2400 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^-2 * S^2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R251.30 : Type {24,24}_20 Order 2400 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 * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^6 * S^-5, R^-2 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S ] R251.31 : Type {24,184}_138 Order 2208 mV = 92 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^11 * S * R^-1 * S, S^23 * R^3 * S^-2 * R * S^5 * R^-2 * S^16 ] R251.32 : Type {24,184}_276 Order 2208 mV = 92 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^11 * S * R^-1 * S, S^23 * R^2 * S * R^-1 * S^-6 * R^-3 * S^16 ] R251.33 : Type {44,44}_10 Order 2200 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, R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2, R^-1 * S * R^-1 * T * S^-1 * R * S^-1 * R^6 * S^-2 * R * T * R^-3 * S * R^-2 * S ] R251.34 : Type {44,264}_24 Order 2112 mV = 132 mF = 11 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^-5 * R * S^6, R^-5 * S^2 * R^-3 * S * R^-4 * S * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-5 ] R251.35 : Type {44,264}_24 Order 2112 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, R^-1 * S * R^-7 * S * R^-1 * S * R^-31 * S, S^-2 * R^-1 * S^11 * R^-1 * S^-11 ] R251.36 : Type {48,176}_66 Order 2112 mV = 88 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^11 * R^4 * S^3 * R^-1 * S^-1 * R * S^7 ] R251.37 : Type {48,176}_132 Order 2112 mV = 88 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^11 * R^2 * S * R^-1 * S^-5 * R^3 * S^5 ] R251.38 : Type {66,88}_6 Order 2112 mV = 22 mF = 11 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^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R^4 * S^-2 * R * S^-2 * R^2 * S^-2 ] R251.39 : Type {66,88}_12 Order 2112 mV = 22 mF = 22 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 * S^-2 * R * S^-1 * R^4 * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 ] R251.40 : Type {70,105}_30 Order 2100 mV = 21 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^-7 * R^20 * S^-8 ] R251.41 : Type {503,1006}_2 Order 2012 mV = 1006 mF = 503 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^240 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R * T * R^-239 ] R251.42 : Type {504,504}_2 Order 2016 mV = 504 mF = 504 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^240 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-240 * R ] R251.43 : Type {504,504}_4 Order 2016 mV = 504 mF = 504 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^190 * R^-17 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R251.44 : Type {1004,1004}_2 Order 2008 mV = 1004 mF = 1004 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^480 * S^-2 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R^2 ] Genus 252 R252.1 : Type {4,255}_510 Order 4080 mV = 85 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-255 ] R252.2 : Type {4,506}_1012 Order 4048 mV = 253 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^506 ] R252.3 : Type {4,1008}_1008 Order 4032 mV = 1008 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^252 * R^2 * S^252 ] R252.4 : Type {6,254}_762 Order 3048 mV = 127 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^254 ] R252.5 : Type {8,170}_680 Order 2720 mV = 85 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^170 ] R252.6 : Type {10,128}_640 Order 2560 mV = 64 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^128 ] R252.7 : Type {10,630}_126 Order 2520 mV = 630 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^63 * R * S^-2 * R * S^61 ] R252.8 : Type {14,86}_602 Order 2408 mV = 43 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^86 ] R252.9 : Type {16,74}_592 Order 2368 mV = 37 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^74 ] R252.10 : Type {20,58}_580 Order 2320 mV = 29 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^58 ] R252.11 : Type {20,560}_112 Order 2240 mV = 560 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 * R^-17 * S, S^28 * R * S^-2 * R * S^26 ] R252.12 : Type {24,276}_184 Order 2208 mV = 138 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^23 * R^4 * S^23 ] R252.13 : Type {26,44}_572 Order 2288 mV = 22 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^44 ] R252.14 : Type {26,546}_42 Order 2184 mV = 546 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^21 * R^-1 * S^-8 * R * S^13 ] R252.15 : Type {30,38}_570 Order 2280 mV = 19 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^38 ] R252.16 : Type {38,532}_28 Order 2128 mV = 532 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^29 * S^-1 * R * S^-1 * R^6, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R252.17 : Type {44,528}_48 Order 2112 mV = 528 mF = 22 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^-7 * S * R^-1 * S * R^-31 * S, S^12 * R^2 * S^12 ] R252.18 : Type {50,525}_42 Order 2100 mV = 525 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^-10 * R^4 * S^-11 ] R252.19 : Type {58,522}_18 Order 2088 mV = 522 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^39 * S^-1 * R * S^-1 * R^16 ] R252.20 : Type {74,518}_14 Order 2072 mV = 518 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^6 * R * S^-6 * R * S^2, S^14 * R^-16 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R252.21 : Type {86,516}_12 Order 2064 mV = 516 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^-6 * R^-1 * S^5 * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R252.22 : Type {104,130}_40 Order 2080 mV = 65 mF = 52 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^3 * R^-2 * S * R^-7 * S * R^-1 * S * R^-2 * S^4 ] R252.23 : Type {129,172}_6 Order 2064 mV = 43 mF = 43 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, S^-2 * R^13 * S^-1 * R * S^-2 * R^15 * S^-1 * R * S^-1 * R^2 * S^-3 * R ] R252.24 : Type {146,511}_14 Order 2044 mV = 511 mF = 73 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^-6 * R * S^2, S * R^-1 * S^9 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R252.25 : Type {170,510}_6 Order 2040 mV = 510 mF = 85 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^108 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R252.26 : Type {254,508}_4 Order 2032 mV = 508 mF = 127 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^210 * S^-1 * R * S^-1 * R * S^-1 * R^2 * T * R^-1 * S * R^-10 * S * T * R * S^-1 * R * S^-1 * R * S^-1 * R^18 ] R252.27 : Type {255,255}_4 Order 2040 mV = 85 mF = 85 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^70 * S^-2 * R^14 * S^-1 * R * S^-164 * R ] R252.28 : Type {338,507}_6 Order 2028 mV = 507 mF = 169 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^106 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R252.29 : Type {505,1010}_2 Order 2020 mV = 1010 mF = 505 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^241 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R * T * R^-239 * S ] R252.30 : Type {506,506}_2 Order 2024 mV = 506 mF = 506 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^241 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-242 ] R252.31 : Type {1008,1008}_2 Order 2016 mV = 1008 mF = 1008 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^240 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-241 ] Genus 253 R253.1 : Type {3,13}_8 Order 11232 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^13, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^3 * R^-1 * S^-3 ] R253.2 : Type {3,13}_12 Order 11232 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^13, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1)^6 ] R253.3 : Type {3,24}_8 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (S^2 * R^-1 * S^4)^3, S^-1 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 * R^-1 * S^-3 ] R253.4 : Type {3,24}_28 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3, (S^2 * R^-1 * S^4)^3, S^-3 * R * S^-4 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-4 * R * S^-2 ] R253.5 : Type {3,42}_12 Order 7056 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, 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^3 * R * S^-10 * R^-1 * S^3 * R^-1 * S^-4 * R * S^8 ] R253.6 : Type {3,48}_6 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^48 ] R253.7 : Type {3,48}_24 Order 6912 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-4 * R * S^-3, S^6 * R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^13 ] R253.8 : Type {4,16}_6 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^2 ] R253.9 : Type {4,16}_12 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^3, S^2 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1 * S^-1 * R * S ] R253.10 : Type {4,16}_14 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1 ] R253.11 : Type {4,16}_24 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R253.12 : Type {4,16}_24 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R * S^-1)^2, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R253.13 : Type {4,16}_28 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R253.14 : Type {4,16}_56 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^2 * S^-4 * R * S^2 ] R253.15 : Type {4,16}_56 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, R * S^-1 * R * S^-2 * R * S^-1 * R * S^6 ] R253.16 : Type {4,18}_12 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^2 * S^-4 * R * S^2, S^-2 * R^-1 * S * R * S^-3 * R * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-2 * R * S^-2 ] R253.17 : Type {4,18}_36 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, (R * S^-4 * R * S^-1)^2 ] R253.18 : Type {4,18}_36 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^18 ] R253.19 : Type {4,32}_96 Order 4608 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^32 ] R253.20 : Type {4,32}_96 Order 4608 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-2 * S^-1 * R * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1 * R * S ] R253.21 : Type {4,60}_60 Order 4320 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^60 ] R253.22 : Type {4,60}_60 Order 4320 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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^-7 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-7 ] R253.23 : Type {4,60}_60 Order 4320 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^-2 * R^-1 * S^15 * R^-1 * S^-3 ] R253.24 : Type {4,60}_60 Order 4320 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^60 ] R253.25 : Type {4,116}_174 Order 4176 mV = 29 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^29 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^24 ] R253.26 : Type {4,256}_256 Order 4096 mV = 64 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^256 ] R253.27 : Type {4,256}_256 Order 4096 mV = 64 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^64 * R^2 * S * R^-1 * S^-1 * R * S^62 ] R253.28 : Type {4,508}_508 Order 4064 mV = 254 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^508 ] R253.29 : Type {4,1012}_506 Order 4048 mV = 1012 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^253 * R^2 * S^253 ] R253.30 : Type {6,12}_8 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S * R^-1 ] R253.31 : Type {6,12}_24 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1 ] R253.32 : Type {6,24}_4 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2 ] R253.33 : Type {6,24}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-3 * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^4 * R^-1 * S^-4 ] R253.34 : Type {6,24}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] R253.35 : Type {6,24}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3, S^-4 * R^-2 * S * R * S^-1 * R^3 * S^-6 ] R253.36 : Type {6,24}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-3 * R^-3 * S^-1 * R^2 * S^3, S^3 * R^-1 * S * R^-2 * S * R^-2 * S^7 * R^-1 ] R253.37 : Type {6,24}_6 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^6 * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^4 ] R253.38 : Type {6,24}_6 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, 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^24 ] R253.39 : Type {6,24}_8 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1)^6, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] R253.40 : Type {6,24}_12 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^24 ] R253.41 : Type {6,24}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-7 * R^-2 * S^3 * R^-1 * S^2 * R^-1 * S^-2 ] R253.42 : Type {6,24}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R * S^-2 * R^2 * S^-1 * R^-2 * S^-5 * R * S^2 ] R253.43 : Type {6,24}_12 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, R * S^-2 * R^-2 * S * R^3 * S * R^-2 * S^-2, S^2 * R * S^-2 * R^2 * S^-1 * R^-2 * S^-5 * R * S^2, S^-2 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1 * R ] R253.44 : Type {6,24}_12 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-7 * R^3 * S^-5, (S^2 * R^-1 * S^2)^3, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-1 * R * S^2 ] R253.45 : Type {6,24}_12 Order 3456 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-2 * R^2 * S^-1 * R^-1 * S^2 * R^3 * S^-7 ] R253.46 : Type {6,24}_12 Order 3456 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^3 * R * S^-1 ] R253.47 : Type {6,24}_12 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^4 * R * S^-2 * R * S^6, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ] R253.48 : Type {6,24}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, 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 ] R253.49 : Type {6,24}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^-4 * R^-2 * S * R * S^-1 * R^3 * S^-6 ] R253.50 : Type {6,24}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-4 * R, S^24 ] R253.51 : Type {6,24}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-7 * R^3 * S^-5, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R253.52 : Type {6,24}_24 Order 3456 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^24 ] R253.53 : Type {6,24}_24 Order 3456 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-2 * R^2 * S^-1 * R^2 * S^-5, (R^-1 * S^2)^6 ] R253.54 : Type {6,24}_24 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2, S^24 ] R253.55 : Type {6,66}_132 Order 3168 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^11 * R^2 * S^4 * R^-1 * S^-1 * R * S^6 ] R253.56 : Type {6,66}_132 Order 3168 mV = 22 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^66 ] R253.57 : Type {6,87}_174 Order 3132 mV = 29 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-87 ] R253.58 : Type {6,192}_64 Order 3072 mV = 64 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^32 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^26 ] R253.59 : Type {6,192}_64 Order 3072 mV = 64 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^16 * R * S^-1 * R * S^2 * R^-1 * S^-3 * R^-1 * S^10 ] R253.60 : Type {6,255}_510 Order 3060 mV = 85 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-255 ] R253.61 : Type {6,759}_506 Order 3036 mV = 759 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-127 * R^2 * S^-126 ] R253.62 : Type {8,12}_6 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4, S^12, R^2 * S^-2 * R * S^-1 * R^-2 * S^6 * R^-1 * S ] R253.63 : Type {8,12}_6 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (S^-1 * R^2 * S^-1)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, (R * S^-1)^6, R * S^-1 * R * S^-1 * R^-4 * S^-1 * R^3 * S^-2 ] R253.64 : Type {8,12}_12 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^6 * R^-1 * S ] R253.65 : Type {8,12}_12 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12, R * S^-5 * R^-2 * S^6 * R^-1 * S ] R253.66 : Type {8,12}_12 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^12, S^-2 * R * S^-2 * R^3 * S^2 * R^-1 * S^-2 * R ] R253.67 : Type {8,12}_12 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, (R * S^-2)^4, S^2 * R * S^-2 * R * S^-1 * R * S^-1 * R^2 * S^3 * R^-2 * S * R^-1 ] R253.68 : Type {8,12}_12 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-3 * R * S^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-3 * S * R^-1 * S^-1 * R^3 * S^-1 * R * S * R^-1 * S ] R253.69 : Type {8,12}_12 Order 3456 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R^2 ] R253.70 : Type {8,12}_12 Order 3456 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^12, R^-1 * S * R^2 * S^2 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-2 * S^2 ] R253.71 : Type {8,12}_24 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12, R^2 * S^-6 * R^-2 * S^6 ] R253.72 : Type {8,12}_24 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, S^12 ] R253.73 : Type {8,12}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^2 * R * S^-2 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S * R^-1 ] R253.74 : Type {8,12}_24 Order 3456 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, R * S^-1 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 ] R253.75 : Type {8,12}_24 Order 3456 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^12, R^-1 * S * R^2 * S^2 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R253.76 : Type {8,40}_60 Order 2880 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^10 * R^4 * S^10 ] R253.77 : Type {8,40}_60 Order 2880 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^6, S^10 * R^4 * S^10 ] R253.78 : Type {10,20}_10 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S ] R253.79 : Type {10,55}_66 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^7 * R^2 * S^2 * R^-1 * S^-1 * R * S ] R253.80 : Type {12,15}_12 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R^-3 * S * R^-3 * S^-1, R^12, (R * S^-1 * R * S^-1 * R^2)^2, (S^-1 * R^2 * S^-1)^3 ] R253.81 : Type {12,15}_12 Order 2880 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^-2 * S)^3, R^12, (R * S^-2)^4 ] R253.82 : Type {12,15}_30 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^-3 * S^4 * R^-1, R^12, R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 * R ] R253.83 : Type {12,15}_30 Order 2880 mV = 1 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, R^12, S^4 * R^3 * S^4 * R^-1, S^-15 ] R253.84 : Type {12,15}_60 Order 2880 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^12, R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 * R, S^-15 ] R253.85 : Type {12,36}_12 Order 2592 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^-4 * R^3 * S^-5, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R253.86 : Type {12,36}_12 Order 2592 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^4 * R^3 * S^5, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R253.87 : Type {12,36}_12 Order 2592 mV = 6 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^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S * R * S^-5 * R * S^6 ] R253.88 : Type {12,36}_12 Order 2592 mV = 6 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, R^-1 * S * R * S^-3 * R^2 * S^-1 * R^2 * S^-6 * R * S * R^-1 ] R253.89 : Type {12,36}_12 Order 2592 mV = 6 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, R^12, (R * S^-1 * R^4)^2, S * R * S^-5 * R * S^6 ] R253.90 : Type {12,36}_12 Order 2592 mV = 6 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2 ] R253.91 : Type {12,36}_36 Order 2592 mV = 6 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^36 ] R253.92 : Type {12,36}_36 Order 2592 mV = 6 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^36 ] R253.93 : Type {12,36}_36 Order 2592 mV = 6 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^3 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-4 * R * S^2 ] R253.94 : Type {12,36}_36 Order 2592 mV = 6 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^36 ] R253.95 : Type {12,36}_36 Order 2592 mV = 6 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^-1 * R^-1 * S^3 * R * S^-1 * R^2 * S^-7 ] R253.96 : Type {12,36}_36 Order 2592 mV = 9 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^36 ] R253.97 : Type {12,36}_36 Order 2592 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, R^-1 * S^5 * R^2 * S * R^-1 * S^-6 ] R253.98 : Type {12,36}_36 Order 2592 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R253.99 : Type {12,78}_52 Order 2496 mV = 13 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^13 * R * S^-1 * R^2 * S^-1 * R * S^11 ] R253.100 : Type {12,78}_104 Order 2496 mV = 26 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^13 * R * S^-6 * R * S * R^-3 * S^-1 * R * S^5 ] R253.101 : Type {12,204}_102 Order 2448 mV = 68 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^51 * R * S^-2 * R * S^49 ] R253.102 : Type {12,204}_102 Order 2448 mV = 102 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^17 * R^2 * S^3 * R^-1 * S^-3 * R^3 * S^11 ] R253.103 : Type {12,204}_102 Order 2448 mV = 102 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^51 * R^-4 * S^2 * T * R * S^2 * R * T * S^47 ] R253.104 : Type {16,16}_6 Order 2688 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^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R253.105 : Type {16,16}_6 Order 2688 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^-1 * R * S * R^-1 * S, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3 ] R253.106 : Type {16,16}_12 Order 2688 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^4 * S^-1 * R * S^-3, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^-1 * S * R^6 * S^2 * R^-1 * S^2 * R^-1 ] R253.107 : Type {16,16}_12 Order 2688 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^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R253.108 : Type {16,16}_12 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S * R * S^-1 * R^4 * S^-1 * R * S^3, S * R^-1 * S * R^4 * S * R^-1 * S^3 ] R253.109 : Type {16,16}_16 Order 2688 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^2 * S^-1 * R^5 * S^2 * R^-1 * S^-3 ] R253.110 : Type {16,16}_16 Order 2688 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-2 * R, S^2 * R * S^-1 * R * S^-1 * R * S^5, R^2 * S^-1 * R^5 * S^2 * R^-1 * S^-3 ] R253.111 : Type {16,16}_16 Order 2688 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^5 * S^2 * R^-3, S * R * S^-2 * R^3 * S * R^-2 * S^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R253.112 : Type {16,16}_16 Order 2688 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)^2, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R253.113 : Type {16,16}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^2 * S^-3 * R^2 * S^5 ] R253.114 : Type {18,18}_4 Order 2592 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^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R * S^-1 * R^2 * S^-4 * R^2 * S^-4 * R^2 * S^-1 * R ] R253.115 : Type {18,18}_12 Order 2592 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^3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R^3 ] R253.116 : Type {18,18}_12 Order 2592 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S^5 * R^-7 * S^5 ] R253.117 : Type {18,18}_12 Order 2592 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, R^-1 * S * R^-1 * S * R^-11 * S^2 * R^-1, S * R * S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R253.118 : Type {18,18}_12 Order 2592 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^-1 * R^6 * S^-5, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R, S * R * S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R253.119 : Type {18,18}_36 Order 2592 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, (R^-3 * S * R^-5)^2, R^18 ] R253.120 : Type {18,144}_16 Order 2304 mV = 48 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-1 * S * T * S^-1 * R^13 * T * S^2, S^3 * R * S^-1 * R^-1 * T * S^-1 * R^-1 * S^2 * R * S^-2 * R * S^4 * T * S^-1 * R * S^2 ] R253.121 : Type {18,144}_16 Order 2304 mV = 48 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^-3 * S^2 * R^-7 * S * R^-1 * S * R^-1 * S^2 ] R253.122 : Type {21,42}_28 Order 2352 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^3 * S^2 * 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 * S^-1 * R^-9 * S^-1 * R^4 * S^-2, R^-2 * S * T * S^-2 * R * S^-1 * R^6 * S^-1 * R^2 * T * R^-1 * S * R^-3 ] R253.123 : Type {21,126}_6 Order 2268 mV = 21 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6, R^21 ] R253.124 : Type {24,48}_48 Order 2304 mV = 4 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, R^-2 * S * R^-5 * S * R^-11 * S * R^-1 * S * R^-1, S^12 * R^2 * S * R^-2 * S^11 ] R253.125 : Type {24,48}_48 Order 2304 mV = 4 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^12 * R^3 * S^-4 * R * S^8 ] R253.126 : Type {24,48}_48 Order 2304 mV = 4 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, R^-2 * S * R^-5 * S * R^-11 * S * R^-1 * S * R^-1, S^12 * R^2 * S * R^-1 * S^-5 * R * S^6 ] R253.127 : Type {24,48}_48 Order 2304 mV = 4 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^19 * S^-1 * R * S^-1 * R^2, S^48 ] R253.128 : Type {24,48}_48 Order 2304 mV = 8 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^-5 * R * S^6, R * S^-1 * R^-9 * S^-1 * R^6, S^-1 * R^14 * S^-1 * R^5 * S^-2 * R ] R253.129 : Type {24,48}_48 Order 2304 mV = 8 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^-4 * R^-5 * S * R^2 * S^3 * R^-1 * S^-4, S^-1 * R^14 * S^-1 * R^5 * S^-2 * R ] R253.130 : Type {24,48}_48 Order 2304 mV = 8 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, R^-2 * S * R^-5 * S * R^-11 * S * R^-1 * S * R^-1, S^12 * R * S^-5 * R * S^7 ] R253.131 : Type {24,48}_48 Order 2304 mV = 8 mF = 6 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^3 * S * R^-1 * S^-1 * R, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R253.132 : Type {24,48}_48 Order 2304 mV = 8 mF = 6 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^5 * S^-2 * R * S^-1, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R253.133 : Type {24,48}_48 Order 2304 mV = 8 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^48 ] R253.134 : Type {24,48}_48 Order 2304 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, R * S^-3 * R^-5 * S * R^4 * S^3 * R^-1 * S^-1 * R, R^-2 * S * R^-5 * S * R^-7 * S * R^-5 * S * R^-1 ] R253.135 : Type {24,48}_48 Order 2304 mV = 12 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 * S^-1 * R^4 * S^2 * R^-3, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^-9 * S^2 * R^-2 * S^-2 * R^-1 ] R253.136 : Type {24,48}_48 Order 2304 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, R^-1 * S * R * S^-1 * R^-5 * S * R^2 * S * R^-2 * S^4 * R^-1 ] R253.137 : Type {24,48}_48 Order 2304 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^7 * S * R^-5, S^-7 * R^-1 * S^7 * R^-1 * S^-2, R^-2 * S * R^-5 * S * R^-15 ] R253.138 : Type {24,48}_48 Order 2304 mV = 12 mF = 6 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^24, S^-10 * R^-1 * S^2 * R^-1 * S^-1 * R * S^6 * R^6 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R253.139 : Type {24,48}_48 Order 2304 mV = 12 mF = 6 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^-9 * S^2 * R^-2 * S^-2 * R^-1, S^12 * R^2 * S^2 * R^-1 * S^-3 * R * S^7 ] R253.140 : Type {24,48}_48 Order 2304 mV = 12 mF = 6 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^24, S^-10 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-5 * R^5 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R253.141 : Type {24,48}_48 Order 2304 mV = 12 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^11 * S * R^-1 * S, S^48 ] R253.142 : Type {24,48}_48 Order 2304 mV = 16 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^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 * R * S^-2 * R * S^10 ] R253.143 : Type {24,48}_48 Order 2304 mV = 16 mF = 6 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^13 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R253.144 : Type {24,48}_48 Order 2304 mV = 24 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^24 ] R253.145 : Type {24,48}_48 Order 2304 mV = 24 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^-2 * S * R^-5 * S * R^-7 * S * R^-4 * S^3, R^24 ] R253.146 : Type {24,48}_48 Order 2304 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, S^-2 * R^2 * S^-1 * R^2 * S^-5, R^24 ] R253.147 : Type {24,48}_48 Order 2304 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^-5 * R * S^6, (R * S^-1 * R^6)^2, R^24 ] R253.148 : Type {24,48}_48 Order 2304 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^5 * R * S^-1 * R * S^6, R^24 ] R253.149 : Type {24,48}_48 Order 2304 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, (R * S^-1 * R^4)^2, S^7 * R * S^-1 * R * S^8, R^24 ] R253.150 : Type {24,48}_48 Order 2304 mV = 24 mF = 6 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^24, S^12 * R * S^-1 * R * S^11 ] R253.151 : Type {24,48}_48 Order 2304 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^48 ] R253.152 : Type {24,552}_46 Order 2208 mV = 552 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^19 * S^-1 * R * S^-1 * R^2, S^23 * R^-2 * S^23 ] R253.153 : Type {24,552}_92 Order 2208 mV = 552 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^19 * S^-1 * R * S^-1 * R^2, S^23 * R * S^-4 * R * S^19 ] R253.154 : Type {32,32}_12 Order 2304 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R^2 * S^-3 * R * S^-1 * R * S^-3 * R * S^-1 * R^6 * S^-1 * R * S^-3 * R * S^-1 * R * S^-3 * R^2 ] R253.155 : Type {32,32}_12 Order 2304 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, R * S^-1 * R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R253.156 : Type {32,32}_24 Order 2304 mV = 8 mF = 8 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^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S, R^12 * S^-4 ] R253.157 : Type {36,180}_30 Order 2160 mV = 60 mF = 18 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^-3 * S * R^-1 * S * R^-27 * S, S^-2 * R^-1 * S^14 * R^-1 * S^-14 ] R253.158 : Type {36,180}_30 Order 2160 mV = 90 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^7 * S * R^-5, S^4 * R^5 * S^-2 * R * S^4, S * R^-1 * S * R^-1 * S^2 * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 ] R253.159 : Type {45,90}_6 Order 2160 mV = 18 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R^6 * S * R^-4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R253.160 : Type {45,90}_12 Order 2160 mV = 15 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^5 * R^-1 * S^5 * R^-14 * S * R^-2 * S * R^-2 ] R253.161 : Type {48,528}_22 Order 2112 mV = 528 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^-2 * R^-1 * S^10 * R^-1 * S^-10, R^-1 * S * R^-9 * S * R^-1 * S * R^-33 * S ] R253.162 : Type {48,528}_44 Order 2112 mV = 528 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^-11 * R^2 * S^-11 ] R253.163 : Type {60,60}_6 Order 2160 mV = 10 mF = 10 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^5, R^-2 * S^2 * R^-1 * S^3 * R^-1 * S * R^-2 * S * R^-1 * S^2 * R^-3 * S ] R253.164 : Type {60,60}_6 Order 2160 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^6 * S^5, R^2 * S^-3 * R^20 * S^-1 * R * S^-5 * R^2 * S^-1 * R * T * S^2 * R^-8 * S * R^-2 * T * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R253.165 : Type {60,60}_6 Order 2160 mV = 10 mF = 20 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^-1 * S^25 * R^-2 * S^6 * R^-1 * S^5 * R^-14 * S * R^-2 * S * R^-2 ] R253.166 : Type {60,60}_6 Order 2160 mV = 15 mF = 15 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^4 * R^-1 * S^3 * R^-6 * S^3 * R^-1 * S^2 ] R253.167 : Type {60,60}_6 Order 2160 mV = 15 mF = 15 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 * R^-1 * S^22 * R^-3 * S * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S * R^-7 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-5 ] R253.168 : Type {66,132}_4 Order 2112 mV = 44 mF = 11 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^-2 * S^2 * R^-13 * S^3 * R^-16 * S^28 * R^-1 * S ] R253.169 : Type {66,132}_8 Order 2112 mV = 44 mF = 22 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^40 * R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S * R^-14 ] R253.170 : Type {94,517}_22 Order 2068 mV = 517 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^-7 * R^2 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^8 * S^-4 ] R253.171 : Type {116,116}_6 Order 2088 mV = 29 mF = 29 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 * R^27 * S^-7 * R^10 * S^-2 * R * S^-3 * R * S^-1 * R * S^-2 ] R253.172 : Type {129,258}_4 Order 2064 mV = 86 mF = 43 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^103 * R^-2 * S * R^-1 * S^2 * R^-10 * S * R^-2 * S * R^-2 * S ] R253.173 : Type {171,342}_6 Order 2052 mV = 171 mF = 57 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^110 * R^-1 * S^15 * R^-6 * S * R^-14 * S * R^-6 * S^17 ] R253.174 : Type {256,256}_4 Order 2048 mV = 128 mF = 128 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^96 * S^-2 * R^4 * S^-2 * R^11 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R253.175 : Type {256,256}_4 Order 2048 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, R^-1 * S^193 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-17 * S ] R253.176 : Type {256,256}_8 Order 2048 mV = 128 mF = 128 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^66 * R^-1 * S^15 * R^-6 * S * R^-14 * S * R^-6 * S^17 ] R253.177 : Type {507,1014}_2 Order 2028 mV = 1014 mF = 507 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^242 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R * T * R^-241 ] R253.178 : Type {508,508}_2 Order 2032 mV = 508 mF = 508 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^243 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-242 ] R253.179 : Type {1012,1012}_2 Order 2024 mV = 1012 mF = 1012 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^241 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-241 * R ] Genus 254 R254.1 : Type {3,8}_22 Order 24288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S ] R254.2 : Type {3,8}_22 Order 24288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ] R254.3 : Type {3,12}_22 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^-2 * R * S, S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1 ] R254.4 : Type {3,12}_24 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2, S * R * S^-3 * R * S^-5 * R * S^-3 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R254.5 : Type {4,6}_24 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^2 * S * R^-1 * S^-1 * R * S^3 * R^-1 ] R254.6 : Type {4,510}_1020 Order 4080 mV = 255 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^510 ] R254.7 : Type {4,1016}_1016 Order 4064 mV = 1016 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^254 * R^2 * S^254 ] R254.8 : Type {6,256}_768 Order 3072 mV = 128 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^256 ] R254.9 : Type {6,762}_254 Order 3048 mV = 762 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^127 * R^2 * S^127 ] R254.10 : Type {8,87}_348 Order 2784 mV = 29 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-87 ] R254.11 : Type {8,340}_680 Order 2720 mV = 170 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^85 * R^4 * S^85 ] R254.12 : Type {10,635}_254 Order 2540 mV = 635 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-64 * R * S * R^-1 * S^-62 ] R254.13 : Type {28,80}_560 Order 2240 mV = 40 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^20 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^7 ] R254.14 : Type {42,78}_182 Order 2184 mV = 39 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^4)^2, R * S^-1 * R^-11 * S^-1 * R^2, S^13 * R * S^-3 * R * S^10 ] R254.15 : Type {66,176}_48 Order 2112 mV = 88 mF = 33 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^7 * S * R^-5, R^-6 * S * R^-13 * S * R^-1, S^-7 * R^-1 * S^7 * R^-1 * S^-2 ] R254.16 : Type {104,260}_40 Order 2080 mV = 130 mF = 52 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^7 * R^-9 * S * R^-1 * S^2 * R^-4 * S^2 ] R254.17 : Type {172,258}_12 Order 2064 mV = 129 mF = 86 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^5 * R^-1 * S^-1, S^5 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R254.18 : Type {509,1018}_2 Order 2036 mV = 1018 mF = 509 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^245 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R * S^-1 * R * T * R^-239 * S ] R254.19 : Type {510,510}_2 Order 2040 mV = 510 mF = 510 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^241 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-246 ] R254.20 : Type {1016,1016}_2 Order 2032 mV = 1016 mF = 1016 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^243 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-241 * R ] Genus 255 R255.1 : Type {4,258}_258 Order 4128 mV = 86 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^258 ] R255.2 : Type {4,512}_512 Order 4096 mV = 256 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^128 * R * S^-1 * R * S^127 ] R255.3 : Type {4,512}_512 Order 4096 mV = 256 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^512 ] R255.4 : Type {4,1020}_510 Order 4080 mV = 1020 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^255 * R^2 * S^255 ] R255.5 : Type {8,45}_90 Order 2880 mV = 15 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-45 ] R255.6 : Type {8,172}_344 Order 2752 mV = 43 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^172 ] R255.7 : Type {8,172}_344 Order 2752 mV = 86 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^172 ] R255.8 : Type {8,680}_170 Order 2720 mV = 680 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^85 * R^2 * S^85 ] R255.9 : Type {8,680}_340 Order 2720 mV = 680 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^85 * R * S^-2 * R * S^83 ] R255.10 : Type {12,104}_78 Order 2496 mV = 26 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^13 * R * S^-1 * R^2 * S^-5 * R * S^7 ] R255.11 : Type {12,104}_156 Order 2496 mV = 26 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^13 * R^2 * S^2 * R^-1 * S^-1 * R * S^10 ] R255.12 : Type {12,104}_312 Order 2496 mV = 52 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^26 * R * S^-1 * R * S^25 ] R255.13 : Type {12,104}_312 Order 2496 mV = 52 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^104 ] R255.14 : Type {14,595}_170 Order 2380 mV = 595 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^-43 * R * S^4 * R^-1 * S^-38 ] R255.15 : Type {22,561}_102 Order 2244 mV = 561 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^-1 * S * R^-1 * S * R^-18, S^-26 * R * S^9 * R^-1 * S^-16 ] R255.16 : Type {32,36}_288 Order 2304 mV = 9 mF = 16 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^-14 * S^-1 * R * S^-1 * R^-1, S^36 ] R255.17 : Type {32,36}_288 Order 2304 mV = 18 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^36 ] R255.18 : Type {32,544}_34 Order 2176 mV = 544 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 * R^-1 * S * R^-1 * S * R^-25 * S, S^17 * R^2 * S^17 ] R255.19 : Type {32,544}_68 Order 2176 mV = 544 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 * R^-1 * S * R^-1 * S * R^-25 * S, S^17 * R^-1 * S^-9 * R * S^8 ] R255.20 : Type {62,527}_34 Order 2108 mV = 527 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^7 * R^-14 * S^10 ] R255.21 : Type {88,132}_6 Order 2112 mV = 44 mF = 22 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^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^-1 * S * R^-2 * S * R^-1 * S * R^-6 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R255.22 : Type {88,132}_12 Order 2112 mV = 44 mF = 22 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, R * S^-1 * R * S^-2 * R^9 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 ] R255.23 : Type {88,132}_24 Order 2112 mV = 33 mF = 44 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^11 * R^-1 * S^-11, S^7 * R^-1 * S * R^-1 * S * R^-28 * S^5 ] R255.24 : Type {88,132}_24 Order 2112 mV = 66 mF = 44 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^-5 * R * S^6, R^-5 * S^2 * R^-3 * S * R^-4 * S * R^-11 * S * R^-1 * S^2 * R^-3 * S * R^-1 * S * R^-1 * S * R^-5 ] R255.25 : Type {104,520}_10 Order 2080 mV = 520 mF = 52 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^41 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R255.26 : Type {104,520}_20 Order 2080 mV = 520 mF = 52 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^9 * R^-1 * S^-9, S^-7 * R^4 * S^-1 * R * S^-1 * R^20 * S^-1 * R * S^-1 * R^12 * S^-3 ] R255.27 : Type {172,516}_6 Order 2064 mV = 516 mF = 86 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^109 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R255.28 : Type {206,515}_10 Order 2060 mV = 515 mF = 103 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^45 * R^-14 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R255.29 : Type {258,258}_4 Order 2064 mV = 86 mF = 86 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^165 * R^-1 * S * R^-14 * S^2 * R^-71 * S * R^-1 ] R255.30 : Type {511,1022}_2 Order 2044 mV = 1022 mF = 511 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^243 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-244 * R ] R255.31 : Type {512,512}_2 Order 2048 mV = 512 mF = 512 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^243 * T * R^-2 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-249 * R ] R255.32 : Type {512,512}_4 Order 2048 mV = 512 mF = 512 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^194 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R255.33 : Type {1020,1020}_2 Order 2040 mV = 1020 mF = 1020 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^241 * T * R^-1 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-245 * R ] Genus 256 R256.1 : Type {3,16}_8 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^16, S^4 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-5 * R * S^2 ] R256.2 : Type {3,16}_16 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^16, (S^2 * R^-1 * S^5 * R^-1 * S)^2, S^3 * R * S^-3 * R * S^-2 * R^2 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S ] R256.3 : Type {3,16}_18 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^16, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S^-1 ] R256.4 : Type {3,16}_18 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^16, S * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^3, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S ] R256.5 : Type {4,34}_4 Order 4624 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, S^-34 ] R256.6 : Type {4,174}_116 Order 4176 mV = 29 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^29 * R^2 * S * R^-1 * S^-1 * R * S^27 ] R256.7 : Type {4,514}_1028 Order 4112 mV = 257 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^514 ] R256.8 : Type {4,1024}_1024 Order 4096 mV = 1024 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^256 * R^2 * S^256 ] R256.9 : Type {6,88}_88 Order 3168 mV = 22 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^88 ] R256.10 : Type {6,258}_258 Order 3096 mV = 86 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^258 ] R256.11 : Type {6,258}_258 Order 3096 mV = 129 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^43 * R * S^-3 * R * S^40 ] R256.12 : Type {6,258}_258 Order 3096 mV = 129 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^258 ] R256.13 : Type {6,768}_256 Order 3072 mV = 768 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^128 * R * S^-1 * R * S^127 ] R256.14 : Type {9,90}_6 Order 2700 mV = 9 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S^-7 * R^-1 * S^9 * R^-1 * S^-4 ] R256.15 : Type {10,28}_28 Order 2800 mV = 7 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^28 ] R256.16 : Type {10,130}_130 Order 2600 mV = 26 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^130 ] R256.17 : Type {10,130}_130 Order 2600 mV = 65 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^13 * R * S^-7 * R * S^6 ] R256.18 : Type {10,130}_130 Order 2600 mV = 65 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^130 ] R256.19 : Type {10,640}_128 Order 2560 mV = 640 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^64 * R * S^-3 * R * S^61 ] R256.20 : Type {16,148}_592 Order 2368 mV = 74 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^37 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S^30 ] R256.21 : Type {18,66}_198 Order 2376 mV = 33 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, (R * S^-1 * R^4)^2, R^18, S^11 * R * S^-1 * R * S^10 ] R256.22 : Type {18,66}_198 Order 2376 mV = 33 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^66 ] R256.23 : Type {18,576}_64 Order 2304 mV = 576 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^-1 * S * R^-15 * S, S^32 * R * S^-4 * R * S^28 ] R256.24 : Type {24,30}_8 Order 2400 mV = 3 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-2 * R^2 * S^-1, S^2 * R^-1 * S * R * S^-1 * R^2 * S^6 ] R256.25 : Type {34,34}_34 Order 2312 mV = 17 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 * S^-2 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-2 * R, R^34 ] R256.26 : Type {34,34}_34 Order 2312 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^34, S^34 ] R256.27 : Type {34,544}_32 Order 2176 mV = 544 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^27 * S^-1 * R * S^-1 * R^4, S^-2 * R^-1 * S^15 * R^-1 * S^-15 ] R256.28 : Type {45,180}_6 Order 2160 mV = 45 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S * R^-1 * S^16 * R^-2 * S^2 * R^-1 * S * R^-18 * S^2 * R^-1 ] R256.29 : Type {60,90}_36 Order 2160 mV = 15 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^7 * R^-12 * S^11 ] R256.30 : Type {60,90}_36 Order 2160 mV = 45 mF = 30 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^7 * S * R^-5, S * R^-1 * T * R^11 * S^-2 * T * R^-1 * S^3 * R^-1, S^-2 * R^-1 * S^13 * R^-1 * S^-3 ] R256.31 : Type {66,528}_16 Order 2112 mV = 528 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^-6 * R^-1 * S^7 * R^-1 * S^-3, S^-1 * R * S^-1 * R^41 * S^-1 * R * S^-1 * R^19 ] R256.32 : Type {105,210}_10 Order 2100 mV = 105 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^6 * S * R^-4, R^-4 * S^39 * R^-1 * S^16 * R^-6 * S * R^-14 * S * R^-6 * S^17 ] R256.33 : Type {130,520}_8 Order 2080 mV = 520 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^-3 * R * S^4, S * R^-1 * S^66 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-17 * S ] R256.34 : Type {174,174}_6 Order 2088 mV = 87 mF = 58 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^112 * R^-1 * S^16 * R^-6 * S * R^-14 * S * R^-6 * S^16 * R^-1 ] R256.35 : Type {174,174}_6 Order 2088 mV = 87 mF = 87 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^-3 * R^26 * S^-2 * R^5 * S^-1 * R^13 * S^-8 ] R256.36 : Type {258,516}_4 Order 2064 mV = 516 mF = 129 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^196 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R256.37 : Type {513,1026}_2 Order 2052 mV = 1026 mF = 513 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^250 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * S^-1 * R^2 * T * R^-242 * S ] R256.38 : Type {514,514}_2 Order 2056 mV = 514 mF = 514 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^246 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-249 ] R256.39 : Type {1024,1024}_2 Order 2048 mV = 1024 mF = 1024 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^243 * T * R^-2 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-250 ] Genus 257 R257.1 : Type {3,8}_12 Order 24576 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^6, S * 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^2, (S^2 * R^-1 * S)^8 ] R257.2 : Type {3,8}_24 Order 24576 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-1 * S * R^-1 * S^-4 * R^-1 * S * R^-1 * S^4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S ] R257.3 : Type {3,10}_20 Order 15360 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1, S * R^-1 * S^2 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-3 * R * S^2 * R^-1 * S^2 ] R257.4 : Type {3,12}_8 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (S^3 * R^-1 * S^2)^4 ] R257.5 : Type {3,12}_16 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-6 * R * S^-1 * R * S^-1 * R * S^5 * R^-1 * S^-2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R257.6 : Type {3,12}_16 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^2 * R * S^-1 * R * S^-4 * R * S^-2 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-4 * R^-1 * S * R^-1 * S^4 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1, (S^3 * R^-1 * S^2)^4 ] R257.7 : Type {3,12}_16 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^2 * R * S^-1 * R * S^-4 * 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^3 * R^-1 * S^2)^4 ] R257.8 : Type {3,12}_16 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R^-1 * S^4 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 * R^-1 * S^-1 ] R257.9 : Type {4,5}_20 Order 20480 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R257.10 : Type {4,5}_40 Order 20480 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 ] R257.11 : Type {4,5}_40 Order 20480 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^2 * S^-2 ] R257.12 : Type {4,6}_6 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (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^2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S ] R257.13 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, 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, R * S^-3 * R^-2 * S^-3 * R^-1 * S * R * S^-1 * R * S^3 * R^2 * S^3 * R^2 * S^-2 ] R257.14 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 ] R257.15 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, S^-2 * R * S^-2 * R * S^-1 * R * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R * S^-1 * R * S^-2 * R ] R257.16 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, R^-1 * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S * R^-1 * S ] R257.17 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S, 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 ] R257.18 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, 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 ] R257.19 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, (R * S^-1)^8, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-2, 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 ] R257.20 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-1)^8, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S ] R257.21 : Type {4,6}_12 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, S * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^3 * R^2 * S ] R257.22 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S * R^-1 * S ] R257.23 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R257.24 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^-3 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 ] R257.25 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^-3 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * R * S ] R257.26 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, (R * S^-2)^8 ] R257.27 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, R^-2 * S^-3 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^3 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R257.28 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, (R * S^-1)^8, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ] R257.29 : Type {4,6}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-1)^8, R^-2 * S^-3 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^3 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R257.30 : Type {4,6}_48 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-2 ] R257.31 : Type {4,6}_48 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-3 * R^-2 * S^-3 * R^-2 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^2 * S^3 * R^2 * S^3 * R^-1 ] R257.32 : Type {4,8}_8 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, 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, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R257.33 : Type {4,8}_8 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, (R * S^-3)^4 ] R257.34 : Type {4,8}_8 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R257.35 : Type {4,8}_8 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^3 * R^-1 ] R257.36 : Type {4,8}_8 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1 ] R257.37 : Type {4,8}_8 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-1)^8, R * S^-1 * R * S^-4 * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R257.38 : Type {4,8}_8 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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, (R * S^-1)^8, R^-1 * S^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1 ] R257.39 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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)^2, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^2 * S^4 * R^2 * S * R^-1 * S ] R257.40 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1 ] R257.41 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-3)^4 ] R257.42 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1, (R * S^-1)^8 ] R257.43 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-1)^8 ] R257.44 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, R^-1 * S^-4 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R257.45 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1, R * S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, (R * S^-1)^8 ] R257.46 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R257.47 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S^-1, R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R257.48 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2, (R * S^-1)^8 ] R257.49 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2, R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R257.50 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * T * R * S * R^-1 * S^-1 * R ] R257.51 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-2, (R * S^-3)^4 ] R257.52 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S, R^-1 * S^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1, R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R257.53 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^4, S^2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S ] R257.54 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S^-1 * 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^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^3 * R^-1 ] R257.55 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-4 * R * S^-2 * R^2 * S * R^-1 * S^-2 * R * S * R^-1 * S^-1 ] R257.56 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-3)^4 ] R257.57 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, R^-1 * S^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1 ] R257.58 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^3 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^3 ] R257.59 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S ] R257.60 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, R^-1 * S^3 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^3 ] R257.61 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] R257.62 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R257.63 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R257.64 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, (R * S^-3)^4, S * R^-1 * S * R^-1 * S^-4 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R257.65 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2, (R * S^-1)^8, R^-1 * S^3 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^3 ] R257.66 : Type {4,8}_16 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (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^-1)^8, R^-1 * S^3 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^3 ] R257.67 : Type {4,8}_32 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, (R * S^-1)^16 ] R257.68 : Type {4,8}_32 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^-1 * R * S^2 ] R257.69 : Type {4,8}_32 Order 8192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R * S^-1 * 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 * R * S^-1 ] R257.70 : Type {4,8}_32 Order 8192 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^2 * S^2 * R^2 * S^2 * R^2 * S^-1 * R * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^2 * S^-1 * R * S^-1 * R * S^2 * R^2 * S^2 * R^2 * S^2 * R^-1 ] R257.71 : Type {4,8}_64 Order 8192 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^2 * S^2 * R^2 * S^2 * R^2 * S^-1 * R * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R^2 * S^-1 * R * S^2 * R^2 * S^2 * R^2 * S^2 * R^-1 ] R257.72 : Type {4,12}_6 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] R257.73 : Type {4,12}_6 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S ] R257.74 : Type {4,12}_6 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-5)^2, (R * S^-1)^8 ] R257.75 : Type {4,12}_6 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-5)^2, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 ] R257.76 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, R^-1 * S^-6 * R^2 * S^6 * R^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R257.77 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R^-1 * S^-6 * R^2 * S^6 * R^-1 ] R257.78 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R^-1 * S^-6 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R257.79 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * R^-1 * S^-6 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R257.80 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^2 * R * S^-4 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^3 * R^-1 ] R257.81 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-1)^8 ] R257.82 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, (R * S^-1)^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1, S * R * S^-4 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R257.83 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R257.84 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-1 * S^-6 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R257.85 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R257.86 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R^-1 * S^-6 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R257.87 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2, S^2 * R * S^-4 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^3 * R^-1 ] R257.88 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S * R^-1 * S^-2, (R * S^-3)^4 ] R257.89 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, (R * S^-1)^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1, S^-1 * R^-1 * S^4 * R * S^-1 * R * S^4 * R^-1 * S^-2 ] R257.90 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R * S * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ] R257.91 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R257.92 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S ] R257.93 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, S^-1 * R * S^-4 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-2 ] R257.94 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R * S * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.95 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-4 * R^-1 * S * R^-1 * S * R^2 * S^4 * R^-1 * S^-1 * R * S^-1 ] R257.96 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, 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, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R257.97 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, 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, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R257.98 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 ] R257.99 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-1)^8 ] R257.100 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, 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, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ] R257.101 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, 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, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R257.102 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, 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)^2 ] R257.103 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, 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 ] R257.104 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, (R * S^-1)^8, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R257.105 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, (R * S^-1)^8, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R257.106 : Type {4,12}_12 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, 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 ] R257.107 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-6 * R^2 * S^6 * R^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R257.108 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^-1 * S^-6 * R^2 * S^6 * R^-1, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2, R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 ] R257.109 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-6 * R^2 * S^6 * R^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-3 ] R257.110 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, R^-1 * S^-6 * R^2 * S^6 * R^-1 ] R257.111 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-6 * R^2 * S^6 * R^-1, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] R257.112 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-6 * R^2 * S^6 * R^-1, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] R257.113 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S ] R257.114 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, R * S^-3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-3 ] R257.115 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R * S * R^-1 * S^2 ] R257.116 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-1 * R^-1 * S^4 * R * S^-1 * R * S^4 * R^-1 * S^-2 ] R257.117 : Type {4,12}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1 ] R257.118 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-1)^8, R * S^-1 * R^-1 * S^3 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-2, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R257.119 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-1)^8, R * S^-1 * R^-1 * S^3 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-2, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R257.120 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ] R257.121 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R257.122 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R257.123 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R257.124 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] R257.125 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^2 * R * S^-3 * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S^-1 ] R257.126 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, (R * S^-1)^8, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] R257.127 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2, (R * S^-1)^8, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R257.128 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2, (R * S^-1)^8, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R257.129 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R^-1 * S^2 * 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 ] R257.130 : Type {4,12}_24 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] R257.131 : Type {4,12}_48 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1 ] R257.132 : Type {4,12}_48 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, (R * S^-1)^8 ] R257.133 : Type {4,12}_96 Order 6144 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^16 ] R257.134 : Type {4,20}_20 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^6 * R^-1, S^20 ] R257.135 : Type {4,20}_20 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-3 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S^-1, S^20 ] R257.136 : Type {4,20}_20 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^20 ] R257.137 : Type {4,20}_40 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^20 ] R257.138 : Type {4,20}_40 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^20 ] R257.139 : Type {4,20}_40 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] R257.140 : Type {4,20}_40 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R257.141 : Type {4,20}_40 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R257.142 : Type {4,20}_40 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-3 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S^-1, S^20 ] R257.143 : Type {4,20}_40 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S^20 ] R257.144 : Type {4,20}_80 Order 5120 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R * S^-2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, S^20 ] R257.145 : Type {4,36}_18 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^7 * R^-1 * S^-2 ] R257.146 : Type {4,36}_36 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^36 ] R257.147 : Type {4,36}_36 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, 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^-4 * R^-1 * S * R * S^-2 * R^2 * S^-7 * R * S^2 ] R257.148 : Type {4,36}_36 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^36 ] R257.149 : Type {4,36}_36 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^36 ] R257.150 : Type {4,36}_36 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^36 ] R257.151 : Type {4,36}_36 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, 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^-2 * R^-1 * S^4 * R * S^-1 * R * S^9 ] R257.152 : Type {4,36}_72 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^36 ] R257.153 : Type {4,36}_72 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^36 ] R257.154 : Type {4,36}_72 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-5)^2, S^2 * R * S^-2 * R^-1 * S^4 * R * S^-1 * R * S^9 ] R257.155 : Type {4,36}_72 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1, S^8 * R * S^-2 * R * S^3 * R^-1 * S^-3 * R * S^2 ] R257.156 : Type {4,36}_144 Order 4608 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^36 ] R257.157 : Type {4,68}_136 Order 4352 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^68 ] R257.158 : Type {4,132}_132 Order 4224 mV = 22 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^132 ] R257.159 : Type {4,132}_264 Order 4224 mV = 22 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^33 * R^2 * S^2 * R^-1 * S^-1 * R * S^30 ] R257.160 : Type {4,132}_264 Order 4224 mV = 33 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^132 ] R257.161 : Type {4,260}_260 Order 4160 mV = 65 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^260 ] R257.162 : Type {4,516}_516 Order 4128 mV = 258 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^516 ] R257.163 : Type {4,1028}_514 Order 4112 mV = 1028 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^257 * R^2 * S^257 ] R257.164 : Type {5,5}_8 Order 10240 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^2 * R^2 * S^2 * R^2 * S * R^-1 * S^-2 * R^-2 * S^-1, R^2 * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 ] R257.165 : Type {5,5}_16 Order 10240 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^2 * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-2 * S^-2 * R, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^2 * S * R^-1 ] R257.166 : Type {5,5}_16 Order 10240 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S ] R257.167 : Type {5,6}_8 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-2 ] R257.168 : Type {5,6}_8 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S^-3 * R^2 * S^3 * R^-1 * S^2 * R^-1, (S * R^-2 * S * R^-1)^3, S * R^-1 * S^-3 * R^-1 * S * R^-2 * S^3 * R^2 * S^-1 * R * S ] R257.169 : Type {5,6}_8 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1, R^-1 * S^2 * R^-1 * S^-3 * R^2 * S^3 * R^-1 * S^2 * R^-1 ] R257.170 : Type {5,6}_8 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (S * R^-2 * S * R^-1)^3, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-2 ] R257.171 : Type {5,6}_10 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-2)^4 ] R257.172 : Type {5,6}_20 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (S * R^-2 * S * R^-1)^3, R^-1 * S * R^2 * S^-3 * R * S^-1 * R^3 * S^-1 * R * S^3 * R * S^-1 ] R257.173 : Type {5,6}_20 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1 ] R257.174 : Type {5,6}_20 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R * S^-1 * R^-1 * S * R^2 * S^-2 * R^2 * S^-1 * R * S^-1 * R^2 * S^-2, S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 * R * S^2 * R^-1 * S * R^-1 ] R257.175 : Type {5,10}_4 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, 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 * S^-1 * R * S^-2 * R^2 * S^5 * R^-1 * S^2 * R^-1 ] R257.176 : Type {5,10}_8 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S^3 * R^-1 * S^2 ] R257.177 : Type {5,10}_8 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.178 : Type {5,10}_8 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R257.179 : Type {5,10}_8 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-2 * S^3 ] R257.180 : Type {5,10}_8 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-2 * S^3 ] R257.181 : Type {5,10}_8 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-3 * S^2 * R^-2 * S^-2 ] R257.182 : Type {5,10}_8 Order 5120 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-3 * S^2 * R^-2 * S^-2 ] R257.183 : Type {6,6}_4 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, 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 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-2 * R ] R257.184 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.185 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6, (R * S^-2)^4, R^-1 * S * R^2 * S^-2 * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^2 ] R257.186 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.187 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2)^4, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.188 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1, R^-2 * S * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S^-2, R * S^-2 * R * S^-3 * R^2 * S^3 * R^-2 * S^-2 ] R257.189 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S, R^-1 * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S ] R257.190 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (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, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.191 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.192 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.193 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S ] R257.194 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^-1 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S, R^-1 * S^-3 * R^-3 * S^-3 * R^3 * S^3 * R^3 * S^3 * R^-2 ] R257.195 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, (R * S^-1)^6 ] R257.196 : Type {6,6}_8 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^-1 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S, R^-1 * S^-3 * R^-3 * S^-3 * R^3 * S^3 * R^3 * S^-1 * R * S^-1 * R^-1 * S ] R257.197 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, R * S^-1 * R^-2 * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^3 * R^-1 * S ] R257.198 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (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, R^-2 * S^-3 * R^-2 * S * R^3 * S^3 * R^2 * S * R^-1 * S^-2 ] R257.199 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-1 * R^-2 * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^3 * R^-1 * S ] R257.200 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-3 * R * S^-1 * R * S^3 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-3 * R^-3 * S^-3 * R^3 * S^3 * R^3 * S^3 * R^-2 ] R257.201 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^-2 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^3 * R^2 ] R257.202 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-1 * S * R * S^-1 * 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^-1 * R * S * R^-1 * S^-2, (R * S^-2 * R)^6 ] R257.203 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, R^-2 * S^-2 * R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.204 : Type {6,6}_16 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.205 : Type {6,6}_32 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, R^-2 * S^-2 * R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R * S^-1 ] R257.206 : Type {6,6}_32 Order 6144 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 ] R257.207 : Type {6,15}_80 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-15, R^-2 * S^-1 * R * S^2 * R * S^-1 * R^-2 * S * R^-2 * S * R^4 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-2 * S^-2 ] R257.208 : Type {6,35}_40 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-4 * R^-2 * S * R^-2 * S^-2, (R * S^-2)^4 ] R257.209 : Type {6,35}_56 Order 3360 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R^2 * S^-3 * R^-2 * S^-3 * R^2 * S^-1 ] R257.210 : Type {6,35}_70 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 ] R257.211 : Type {6,51}_136 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S^-2 * R^2 * S^2 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R^2 * S, S^-4 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-4 ] R257.212 : Type {6,195}_260 Order 3120 mV = 65 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-33 * R^2 * S^-6 * R * S * R^-3 * S^-25 ] R257.213 : Type {6,771}_514 Order 3084 mV = 771 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-129 * R * S * R^-1 * S^-127 ] R257.214 : Type {7,14}_4 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, 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^-2 * R * S^-1 * R^2)^2 ] R257.215 : Type {7,14}_8 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3, S * R * S^-1 * R * S^-1 * R^3 * S^3 * R^-1 * S * R^-1 ] R257.216 : Type {7,14}_8 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-1 * R^2 * S^-1 * R^2)^2 ] R257.217 : Type {7,14}_8 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, (R * S^-2 * R * S^-1 * R^2)^2 ] R257.218 : Type {7,14}_8 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-3 * S^4 * R^-2, S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 ] R257.219 : Type {7,14}_8 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-3 * S^-2 * R * S^-3 ] R257.220 : Type {8,8}_4 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-4 * R^4 * S^4 * R^-3, R * S^-1 * R^-3 * S * R^4 * S * R^-3 * S^-1 * R ] R257.221 : Type {8,8}_4 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-1 * R^2)^4 ] R257.222 : Type {8,8}_4 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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^-3 * S * R^4 * S^4 * R * S^-2 ] R257.223 : Type {8,8}_4 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^2)^4 ] R257.224 : Type {8,8}_4 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, 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 * R^-3 * S * R^4 * S * R^-3 * S^-1 * R, S^2 * R^2 * S^-2 * R^-3 * S^2 * R^-1 * S * R^-2 * S ] R257.225 : Type {8,8}_4 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^-1 * S * R^3 * S^4 * R^-1 * S ] R257.226 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S ] R257.227 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S ] R257.228 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^2 ] R257.229 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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, R^-1 * S^-4 * R^4 * S^4 * R^-3, S^-1 * R^-3 * S * R * S^-1 * R^2 * S^4 * R^2 * S^-1 ] R257.230 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S^-4 * R^4 * S^4 * R^-3, R^-2 * S * R * S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 * S ] R257.231 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-1 * R^-3 * S * R * S^-1 * R^2 * S^4 * R^2 * S^-1 ] R257.232 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S^-4 * R^4 * S^4 * R^-3, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2, R^-1 * S^3 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 ] R257.233 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R257.234 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^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, R^-1 * S^-4 * R^4 * S^4 * R^-3, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1 ] R257.235 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^-4 * R^4 * S^4 * R^-3, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1, S^3 * R * S^-1 * R^3 * S^-1 * R * S^3 * R^-1 ] R257.236 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-1 * S^-4 * R^4 * S^4 * R^-3, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R257.237 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-3 * S^4 * R * S^-1 * R, R * S^-1 * R^2 * S^-2 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1 ] R257.238 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^4 * S^4 * R^-3, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2, S * R^-2 * S^2 * R^3 * S^2 * R^-2 * S * R^-1, R^-1 * S^3 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1, R^-1 * S * R^3 * S^-1 * R^-3 * S^3 * R^-3 * S ] R257.239 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R257.240 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R257.241 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^4 * S^4 * R^-3, S^-2 * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R * S^-1 ] R257.242 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R257.243 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R257.244 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-1 * R^-3 * S * R^4 * S * R^-3 * S^-1 * R ] R257.245 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, S^-1 * R^-3 * S * R^4 * S^4 * R * S^-2 ] R257.246 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1, S^3 * R * S^-1 * R^3 * S^-1 * R * S^3 * R^-1, R^-1 * S^2 * R^2 * S^-2 * R^4 * S^4 * R^-1 ] R257.247 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, R^-1 * S^2 * R^2 * S^-2 * R^4 * S^4 * R^-1 ] R257.248 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-3 * S * R^4 * S^4 * R * S^-2 ] R257.249 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2, (R * S^-1 * R^2)^4 ] R257.250 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, S^-1 * R^-3 * S * R^4 * S^4 * R * S^-2 ] R257.251 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2, S^-2 * R * S^-1 * R^2 * S^-1 * R^4 * S^4 * R ] R257.252 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R257.253 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-2 ] R257.254 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S * R * S^-2 * R^-3 * S * R^-1 * S^4 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-2 * R^2 * S^-1 * R ] R257.255 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.256 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3, R^-1 * S^2 * R^-1 * S * R^-4 * S * R^-1 * S^2 * R^-1 * S^2 ] R257.257 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S^2 * R^-1 * S * R^-4 * S * R^-1 * S^2 * R^-1 * S^2 ] R257.258 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 * S ] R257.259 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R * S^-1 * R^2 * S^-2 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1 ] R257.260 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-3 * R ] R257.261 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R257.262 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-3 * R^-3 * S * R^-1 * S^4 * R, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R257.263 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S^-4 * R^4 * S^4 * R^-3, S^-1 * R^-3 * S * R * S^-1 * R^2 * S^4 * R^-2 * S^-1 ] R257.264 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * R^-1 ] R257.265 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^-4 * R^4 * S^4 * R^-3, S * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-3 * R ] R257.266 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^4 * R, R^2 * S^-1 * R^2 * S^-1 * R^3 * S^-3 * R^3 * S^-1 ] R257.267 : Type {8,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S ] R257.268 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R257.269 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R257.270 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.271 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.272 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R257.273 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.274 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R257.275 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.276 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.277 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.278 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.279 : Type {8,8}_8 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R257.280 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R ] R257.281 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^2 ] R257.282 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, (R * S^-1)^8 ] R257.283 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^2 ] R257.284 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R257.285 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S^-4 * R^4 * S^4 * R^-3, R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-2, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R257.286 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (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^-3 * S * R^3 * S * R^-3 * S, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S^-1 * R^-3 * S * R * S^-1 * R^2 * S^4 * R^2 * S^-1 ] R257.287 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] R257.288 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R257.289 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-2 * R^2 * S^-1 * R ] R257.290 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S * R * S^-2 * R^-3 * S * R^-1 * S^4 * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S ] R257.291 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R257.292 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3 ] R257.293 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R257.294 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R257.295 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R257.296 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2 ] R257.297 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S^-4 * R^4 * S^4 * R^-3, S^3 * R * S^-1 * R^3 * S^-1 * R * S^3 * R^-1 ] R257.298 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (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^-1 * S^-4 * R^4 * S^4 * R^-3, S^3 * R * S^-1 * R^3 * S^-1 * R * S^3 * R^-1 ] R257.299 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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 ] R257.300 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S ] R257.301 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S^-4 * R^4 * S^4 * R^-3, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^3, S^-1 * R^-3 * S * R * S^-1 * R^2 * S^4 * R^-2 * S^-1 ] R257.302 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-2 * S * R * S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1 ] R257.303 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-1 * S^-4 * R^4 * S^4 * R^-3, R^-2 * S * R * S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S ] R257.304 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-4 * R^2 * S^4 * R, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R257.305 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-3 * R^-3 * S * R^-1 * S^4 * R, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S ] R257.306 : Type {8,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^2 * R^2 * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 ] R257.307 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, (R * S^-1)^8 ] R257.308 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S ] R257.309 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.310 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R257.311 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-3 * R * S^-2 ] R257.312 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.313 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.314 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R257.315 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.316 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-1 * S * R^-2 * S^-2 * R * S^-1 ] R257.317 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-1 * S * R^-2 * S^-2 * R * S^-1 ] R257.318 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R^2 * S^-2 ] R257.319 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R257.320 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S ] R257.321 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-2 * S^2 * R^-1 * S ] R257.322 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S ] R257.323 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-3 * R * S^-2 ] R257.324 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.325 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R^2 * S^-2 ] R257.326 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-1 * S * R^-2 * S^-2 * R * S^-1 ] R257.327 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.328 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-1 * S * R^-2 * S^-2 * R * S^-1 ] R257.329 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.330 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.331 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.332 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.333 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.334 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R257.335 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R^2 * S^-2 ] R257.336 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R^2 * S^-2 ] R257.337 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S ] R257.338 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^4 * R, (R * S^-1)^8 ] R257.339 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^4 * R, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R257.340 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R257.341 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S ] R257.342 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, S^-1 * R * S^-4 * R^3 * S * R^-1 * S^4 * R, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S ] R257.343 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-1 * R^2 * S^2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 * R^-1 ] R257.344 : Type {8,8}_16 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R ] R257.345 : Type {8,8}_16 Order 4096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R257.346 : Type {8,8}_16 Order 4096 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R257.347 : Type {8,8}_32 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^4 * R, 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 ] R257.348 : Type {8,8}_32 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-4 * R^2 * S^4 * R, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R ] R257.349 : Type {8,8}_32 Order 4096 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-1 * R^2 * S^2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 ] R257.350 : Type {8,8}_32 Order 4096 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 * R^-2 * S^-2 * R^-1 * S * R^-2 * S^-1 * R * S^-1 ] R257.351 : Type {8,8}_32 Order 4096 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, (R * S^-1)^16 ] R257.352 : Type {8,8}_32 Order 4096 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * 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 * R * S^-1 * R * S^-1 * R * S^-1 ] R257.353 : Type {8,8}_32 Order 4096 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R257.354 : Type {8,24}_6 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R257.355 : Type {8,24}_6 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S^-3 ] R257.356 : Type {8,24}_6 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4 ] R257.357 : Type {8,24}_6 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4 ] R257.358 : Type {8,24}_6 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1, S * R * S^-5 * R * S^6 ] R257.359 : Type {8,24}_6 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, (R * S^-2)^4, (R * S^-5)^2, S^5 * R^-4 * S^7 ] R257.360 : Type {8,24}_6 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.361 : Type {8,24}_6 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S * R * S^-5 * R * S^6 ] R257.362 : Type {8,24}_6 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S * R * S^-5 * R * S^6 ] R257.363 : Type {8,24}_6 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.364 : Type {8,24}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-2 * S^5 * R^-1 * S, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.365 : Type {8,24}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-1 * R, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.366 : Type {8,24}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^3 * S * R^-1 * S^4, S^2 * R * S^-5 * R^-1 * S^3 * R^-2 * S^2 ] R257.367 : Type {8,24}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^3 * S * R^-1 * S^4, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.368 : Type {8,24}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.369 : Type {8,24}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.370 : Type {8,24}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.371 : Type {8,24}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1 * S^-1, S^2 * R * S^-5 * R^-1 * S^3 * R^-2 * S^2 ] R257.372 : Type {8,24}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^-4 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-4 ] R257.373 : Type {8,24}_12 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S * R * S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^8 ] R257.374 : Type {8,24}_12 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^8 ] R257.375 : Type {8,24}_12 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.376 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S * R * S^-5 * R * S^6 ] R257.377 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-2 * R^2 * S^-2 * R * S^7 ] R257.378 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-3, S * R * S^-2 * R^2 * S^-2 * R * S^7 ] R257.379 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S * R * S^-5 * R * S^6 ] R257.380 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R * S^-1 * R^2 * S^-1 * R^2 * S^-4 * R ] R257.381 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R^3 * S * R^-1 * S^-1 * R^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R257.382 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, R * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S^-3 ] R257.383 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-7 ] R257.384 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.385 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, R * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S^-3, S * R * S^-5 * R * S^6 ] R257.386 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S * R * S^-5 * R * S^6 ] R257.387 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-2 * S^-1 * R^3 * S, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R257.388 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-2)^4 ] R257.389 : Type {8,24}_12 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-2)^4 ] R257.390 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.391 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S * R * S^-5 * R * S^6 ] R257.392 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.393 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6, R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^-3 * R * S^2 ] R257.394 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1, S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S ] R257.395 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S ] R257.396 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1, S * R * S^-5 * R * S^6 ] R257.397 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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^5 * R^-4 * S^7 ] R257.398 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^4 ] R257.399 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R257.400 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6, R^-1 * S * R * S^-3 * R^-2 * S^-4 * R^2 * S^2 ] R257.401 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.402 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.403 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R257.404 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6, R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^-3 * R * S^2 ] R257.405 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R257.406 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1, S * R * S^-5 * R * S^6 ] R257.407 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^3 * S^5 * R^-1, S * R * S^-5 * R * S^6 ] R257.408 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-5)^2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^-4 * S^7 ] R257.409 : Type {8,24}_12 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-5)^2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^5 * R^-4 * S^7 ] R257.410 : Type {8,24}_12 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R257.411 : Type {8,24}_12 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S ] R257.412 : Type {8,24}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-1 * R, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.413 : Type {8,24}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-2 * S^5 * R^-1 * S, R * S^-1 * R^-1 * S^5 * R^-2 * S^6 ] R257.414 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S * R * S^-5 * R * S^-1 * R * S^-5 * R * S^2 ] R257.415 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.416 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^24 ] R257.417 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^24 ] R257.418 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^24 ] R257.419 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^24 ] R257.420 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 ] R257.421 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S^24 ] R257.422 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^24 ] R257.423 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^-2 * R^-1 * S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-4 ] R257.424 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, R * S^-1 * R^-1 * S^5 * R^-2 * S^6 ] R257.425 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] R257.426 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, S^-2 * R^-1 * S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-4 ] R257.427 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^5 * R^-2 * S^6 ] R257.428 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1 * S^-1, S^-2 * R^-1 * S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-4 ] R257.429 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, S^-2 * R^-1 * S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-4 ] R257.430 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, S^2 * R * S^-5 * R^-1 * S^3 * R^-2 * S^2 ] R257.431 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, S^2 * R * S^-5 * R^-1 * S^3 * R^-2 * S^2 ] R257.432 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, R * S^-3 * R * S^-1 * R^-2 * S^-4 * R^2 * S^2, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.433 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.434 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^2 * R * S^-5 * R^-1 * S^3 * R^-2 * S^2 ] R257.435 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.436 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^2 * R * S^-5 * R^-1 * S^3 * R^-2 * S^2 ] R257.437 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.438 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-7 ] R257.439 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-1 * R^-1 * S^2 * R^-2 * S^8 ] R257.440 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^5 * R^-3 * S^-5 * R * S^2 ] R257.441 : Type {8,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^24 ] R257.442 : Type {8,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^24 ] R257.443 : Type {8,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S^2 * R * S^-1 * R^3 * S^5 * R^-1 * S^-2 ] R257.444 : Type {8,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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, S * R^3 * S^-1 * R^3 * S * R^-1 * S^3 * R^-1, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.445 : Type {8,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S * R * S^-1 * R^3 * S^-2 * R * S^-1 * R * S^-1, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.446 : Type {8,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^4 * R^-1, S^4 * R * S^-1 * R^-2 * S^-5 * R * S^2 ] R257.447 : Type {8,24}_24 Order 3072 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-5 * R^3 * S * R^-1 * S^-3 * R * S^2 ] R257.448 : Type {8,24}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^24 ] R257.449 : Type {8,24}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^24 ] R257.450 : Type {8,24}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^24 ] R257.451 : Type {8,24}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^24 ] R257.452 : Type {8,24}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^24 ] R257.453 : Type {8,24}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2, S^24 ] R257.454 : Type {8,24}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^24 ] R257.455 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-4 * R * S^2 ] R257.456 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S^5 ] R257.457 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^24 ] R257.458 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S * R * S^-5 * R * S^6 ] R257.459 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-3, S * R * S^-5 * R * S^6 ] R257.460 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^24 ] R257.461 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^2 * R * S^-4 * R^4 * S^-4 * R * S^2 ] R257.462 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^24 ] R257.463 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^24 ] R257.464 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-7 ] R257.465 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S * R * S^-5 * R * S^6 ] R257.466 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R257.467 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-2 * R^-1 * S^2 * R * S^-2 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R257.468 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^24 ] R257.469 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.470 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.471 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, (R * S^-3 * R * S^-1 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.472 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R257.473 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-4 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, S * R * S^-5 * R * S^6 ] R257.474 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^4 * R^-1 * S, S * R * S^-5 * R * S^6 ] R257.475 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S * R * S^-5 * R * S^6 ] R257.476 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S * R * S^-5 * R * S^6 ] R257.477 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R257.478 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^-4 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^2 * S^-4 * R * S^2 ] R257.479 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^24 ] R257.480 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R257.481 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^-4 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, S^5 * R^-4 * S^7 ] R257.482 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, S^5 * R^-4 * S^7 ] R257.483 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^5 * R^-4 * S^7 ] R257.484 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^5 * R^-4 * S^7 ] R257.485 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2 ] R257.486 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^3 * R * S^-3 * R * S * R^-1 * S^-2 ] R257.487 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^2 * S^-4 * R * S^2 ] R257.488 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^24 ] R257.489 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2 ] R257.490 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^24 ] R257.491 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^-1 * S^2 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] R257.492 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2 ] R257.493 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R257.494 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S^-4 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R, S^-3 * R^-1 * S^2 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] R257.495 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^24 ] R257.496 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^-3 * R^-1 * S^2 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] R257.497 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S^5 * R^-4 * S^7 ] R257.498 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^5 * R^-4 * S^7 ] R257.499 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^5 * R^3 * S^5 * R^-1, S * R * S^-5 * R * S^6 ] R257.500 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^5 * R^3 * S^5 * R^-1, S * R * S^-5 * R * S^6 ] R257.501 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^24 ] R257.502 : Type {8,24}_24 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-5 * R * S^6 ] R257.503 : Type {8,24}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^24 ] R257.504 : Type {8,24}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^24 ] R257.505 : Type {8,24}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^-5 * R^2 * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R257.506 : Type {8,24}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 ] R257.507 : Type {8,24}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^2 * R * S^-1 * R^-1 * S^2 * R^3 * S^-1 * R * S^6 ] R257.508 : Type {8,24}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-2, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 ] R257.509 : Type {8,24}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^4 * R^-2 * S * R^2 * S * R^-3 * S^-4 ] R257.510 : Type {8,24}_24 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^24 ] R257.511 : Type {8,24}_24 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^24 ] R257.512 : Type {8,24}_24 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S^4 * R * S^-2 * R * S^6 ] R257.513 : Type {8,24}_48 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^-1 * R, S^24 ] R257.514 : Type {8,24}_48 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^24 ] R257.515 : Type {8,24}_48 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^24 ] R257.516 : Type {8,24}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * R^-1, S^-5 * R^2 * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R257.517 : Type {8,24}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^-1 * S^4 * R^-2 * S * R^2 * S * R^-3 * S^-4 ] R257.518 : Type {8,24}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-1 * R^2 * S^-2 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-2, S^2 * R * S^-1 * R^-1 * S^2 * R^3 * S^-1 * R * S^6 ] R257.519 : Type {8,24}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^8, R^-1 * S * R^-2 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R257.520 : Type {8,24}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^5 * R^-4 * S^7, (R * S^-1)^8 ] R257.521 : Type {8,24}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2, S^24 ] R257.522 : Type {8,24}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^8, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R257.523 : Type {8,24}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^5 * R^-4 * S^7, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R257.524 : Type {8,88}_44 Order 2816 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^22 * R^2 * S^5 * R^-1 * S^-1 * R * S^16 ] R257.525 : Type {8,88}_44 Order 2816 mV = 22 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^22 * R^2 * S^5 * R^-1 * S^-1 * R * S^16 ] R257.526 : Type {8,88}_44 Order 2816 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, 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^22 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^15 ] R257.527 : Type {8,88}_88 Order 2816 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^22 * R^-1 * S^-5 * R * S * R^-1 * S^-1 * R * S^15 ] R257.528 : Type {8,88}_88 Order 2816 mV = 22 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^22 * R * S^-1 * R * S^2 * R^-1 * S^-3 * R^-1 * S^16 ] R257.529 : Type {8,88}_88 Order 2816 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, 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^88 ] R257.530 : Type {8,88}_88 Order 2816 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, 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^23 * R^-2 * S^4 * R^-1 * S^-3 * R * S^14 ] R257.531 : Type {8,88}_88 Order 2816 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^88 ] R257.532 : Type {8,88}_88 Order 2816 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, 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^22 * R^2 * S^2 * R^-1 * S^-3 * R * S^17 ] R257.533 : Type {8,88}_88 Order 2816 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^22 * R^4 * S^22 ] R257.534 : Type {8,344}_172 Order 2752 mV = 172 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^86 * R * S^-1 * R * S^85 ] R257.535 : Type {8,344}_172 Order 2752 mV = 172 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^86 * R^4 * S^86 ] R257.536 : Type {12,12}_4 Order 3072 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, (R * S^-2 * R^3)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-1 * R)^4 ] R257.537 : Type {12,12}_4 Order 3072 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, (R * S^-2 * R^3)^2, (R * S^-3 * R^2)^2, (R * S^-1 * R)^4 ] R257.538 : Type {12,12}_4 Order 3072 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 * S^-1 * R^4 * S^-1 * R * S^-3, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S ] R257.539 : Type {12,12}_4 Order 3072 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 * S^-1 * R^4 * S^-1 * R * S^-3, (R * S^-3 * R^2)^2, (R * S^-1 * R)^4 ] R257.540 : Type {12,12}_4 Order 3072 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 * S^-1 * R^4 * S^-1 * R * S^-3, (R^3 * S^-1)^3 ] R257.541 : Type {12,12}_4 Order 3072 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^-2 * R^5 * S^-2 * R * S^-1 * R ] R257.542 : Type {12,12}_4 Order 3072 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^12, (R * S^-2 * R^3)^2, (R * S^-4 * R)^2, (R * S^-5)^2, R^-1 * S * R^-1 * S * R^4 * S * R^-1 * S * R^-1 * S^2 ] R257.543 : Type {12,12}_4 Order 3072 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, R^-1 * S^-3 * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R257.544 : Type {12,12}_4 Order 3072 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, (R * S^-1)^6 ] R257.545 : Type {12,12}_4 Order 3072 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, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, (R * S^-4 * R)^2 ] R257.546 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R * S^-1 * R^4 * S * R^-1 * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R257.547 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-1 * R)^4, (R * S^-1)^6, (S * R^-1 * S)^4, S^12, S * R * S^-1 * R^5 * S * R^-4 * S ] R257.548 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R * S^-1 * R^2)^2, 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, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2 ] R257.549 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, (R * S^-3 * R^2)^2 ] R257.550 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R257.551 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R * S^-1 * R^4 * S^4 * R^-1, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S ] R257.552 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R * S^-1 * R^4 * S^4 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R257.553 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-2 * R^3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R257.554 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-2 * R^3)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R257.555 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R * S^-1 * R^4 * S * R^-1 * S^3, S * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S ] R257.556 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S * R^-1 * S^3, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^-2 ] R257.557 : Type {12,12}_8 Order 3072 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^3 * S * R^-1 * S^-2, R^12 ] R257.558 : Type {12,12}_8 Order 3072 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, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-4 ] R257.559 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R * S^-2 * R^5 * S^2 * R^-2 * S^-1 * R ] R257.560 : Type {12,12}_8 Order 3072 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^-3 * R^2)^2, R^-2 * S^2 * R^3 * S^2 * R^-2 * S ] R257.561 : Type {12,12}_8 Order 3072 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^3 * S * R^-1 * S^2, R^12, (R * S^-1)^6 ] R257.562 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-3 * R^2)^2, 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, (R * S^-1 * R)^4, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (S * R^-1 * S)^4, S^12, S * R * S^-1 * R^5 * S^2 * R^-1 * S * R^-2 ] R257.563 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-2 * R * S^-1 * R, (R^3 * S^-1)^3, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R257.564 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R^3 * S^-1)^3, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (S^-1 * R^2 * S^-1)^3, (R^-1 * S)^6, (R^-1 * S^3)^3, S * R * S^-1 * R^5 * S^2 * R^-1 * S * R^-2 ] R257.565 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-2 * R * S^-1 * R, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R257.566 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-2 * R * S^-1 * R, (R^3 * S^-1)^3, (R * S^-3 * R^2)^2 ] R257.567 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 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^12, (R * S^-1 * R)^4 ] R257.568 : Type {12,12}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1, (R * S^-1 * R)^4 ] R257.569 : Type {12,12}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, R^12, S^12, S * R * S^-1 * R^5 * S * R^-4 * S, R^-1 * S * R^-1 * S * R^4 * S * R^-1 * S * R^-1 * S^2 ] R257.570 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, (R * S^-2)^4 ] R257.571 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R257.572 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2)^4, S^2 * R^-1 * S * R^4 * S^2 * R^-1 * S * R^-2 ] R257.573 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4 ] R257.574 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, (R * S^-1 * R)^4 ] R257.575 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-1 * R)^4 ] R257.576 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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 ] R257.577 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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, R^-2 * S^2 * R^4 * S^2 * R^-2 * S^2 ] R257.578 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R * S^-1 * R^2)^2, 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 ] R257.579 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R257.580 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R^-2 * S^2 * R^4 * S^2 * R^-2 * S^2 ] R257.581 : Type {12,12}_8 Order 3072 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, R^-1 * S^3 * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R257.582 : Type {12,12}_8 Order 3072 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, (R * S^-1)^6 ] R257.583 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R257.584 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R257.585 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R257.586 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R257.587 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ] R257.588 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, (R * S^-1 * R)^4 ] R257.589 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R * S^-1 * R^2)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ] R257.590 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, 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 ] R257.591 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-3 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R257.592 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R257.593 : Type {12,12}_8 Order 3072 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, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R257.594 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^2 * S^-2 * R^3 * S^2 * R^-2 * S^-2 ] R257.595 : Type {12,12}_8 Order 3072 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 * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R257.596 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R^2 * S^-2 * R^3 * S^2 * R^-2 * S^2 ] R257.597 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-1 * R)^4 ] R257.598 : Type {12,12}_8 Order 3072 mV = 2 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^12, (R * S^-1 * R)^4, (R * S^-2)^4, (R * S^-5)^2 ] R257.599 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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 ] R257.600 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, R * S^-3 * R^3 * S * R^-2 * S^-2 ] R257.601 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-5)^2, S^12, R^-1 * S * R^-1 * S * R^4 * S * R^-1 * S * R^-1 * S^2 ] R257.602 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R257.603 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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 ] R257.604 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-3 * R * S^-1)^2 ] R257.605 : Type {12,12}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-3 * R^2)^2, (R * S^-5)^2, S^12, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R257.606 : Type {12,12}_16 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, S^12, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R257.607 : Type {12,12}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^-2 * R * S, R^12, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R ] R257.608 : Type {12,12}_16 Order 3072 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, R * S^-1 * R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R257.609 : Type {12,12}_16 Order 3072 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 * S^-1 * R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R257.610 : Type {12,12}_16 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-1 * R^2 * S^-2 * R^3 * S^2 * R^-2 * S^-2 ] R257.611 : Type {12,12}_16 Order 3072 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S * R^2 * S^-2 * R^3 * S^2 * R^-2 * S^2 ] R257.612 : Type {12,12}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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^2 * S^-1 * R^-4 * S^-1 * R^2 * S * R^-1 * S^-2 ] R257.613 : Type {12,12}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, R^-1 * S * R^2 * S^-1 * R^-4 * S^-1 * R^2 * S * R^-1 * S^-2 ] R257.614 : Type {12,12}_16 Order 3072 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^-2 * R^2 * 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^-2 * R^-2 * S * R^-1 * S^-1 * R * S ] R257.615 : Type {12,12}_16 Order 3072 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^12, S^-1 * R^6 * S^-5, R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 * R * S^-1 * R^-1 ] R257.616 : Type {12,12}_16 Order 3072 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 * R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-4 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^2 * S^-1 * R ] R257.617 : Type {12,28}_8 Order 2688 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, (R * S^-2)^4, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R257.618 : Type {12,28}_14 Order 2688 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^12, (R * S^-1 * R^4)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R257.619 : Type {12,28}_16 Order 2688 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^12, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2 ] R257.620 : Type {12,28}_28 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^4 * S^2 * R^-2, S^-3 * R * S^-1 * R^3 * S^-1 * R * S^-3 * R, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R257.621 : Type {12,28}_84 Order 2688 mV = 7 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^28 ] R257.622 : Type {12,28}_168 Order 2688 mV = 7 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^28 ] R257.623 : Type {12,28}_168 Order 2688 mV = 7 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^28 ] R257.624 : Type {12,156}_52 Order 2496 mV = 39 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^26 * R^4 * S^26 ] R257.625 : Type {12,156}_52 Order 2496 mV = 52 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^13 * R * S^-1 * R * S^2 * R^-2 * S^10 ] R257.626 : Type {12,156}_104 Order 2496 mV = 52 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^13 * R * S^-1 * R^2 * S^-1 * R * S^11 ] R257.627 : Type {20,20}_4 Order 2560 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S^2 * R^-3 * S, S * R^3 * S^-1 * R^3 * S^2 * R^-1 * S * R^-1 * S, R^2 * S^-1 * T * R^-3 * S * R^-6 * S * R^-2 * S * T * S^-2 * R ] R257.628 : Type {20,20}_4 Order 2560 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^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^-2 * S^2 * T * S^-2 * R * S^-1 * R^6 * S^-2 * R * T * R^-1 * S * R^-1 ] R257.629 : Type {20,20}_4 Order 2560 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, (R * S^-1 * R^3)^2, (R * S^-2 * R * S^-1)^2 ] R257.630 : Type {20,20}_4 Order 2560 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^6 * S * R^-4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-2 * R^11 * S^-1 * R * S^-2 * R * S^-1 ] R257.631 : Type {20,20}_8 Order 2560 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 * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R257.632 : Type {20,20}_8 Order 2560 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)^2, (R * S^-3 * R)^2, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ] R257.633 : Type {20,20}_8 Order 2560 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^4 * S * R^-3 * S, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^-1 * S * R^-4 * S * R^-7 * S * R^-4 * S ] R257.634 : Type {20,20}_8 Order 2560 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^4 * S * R^-3 * S, S * R * S^-2 * R^3 * S * R^-2 * S^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S * R^-4 * S * R^-7 * S * R^-4 * S ] R257.635 : Type {20,20}_8 Order 2560 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R257.636 : Type {20,20}_8 Order 2560 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-3 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^3 * S^2 * R^-1 * S * R^-2 ] R257.637 : Type {20,20}_8 Order 2560 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] R257.638 : Type {20,20}_8 Order 2560 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-4)^2, S * R * S^-1 * R^4 * S * R^-3 * S ] R257.639 : Type {20,20}_8 Order 2560 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R * S^-2 * R^3 * S * R^-2 * S^2, R^-4 * S^2 * R^-1 * S^3 * R^-5 * S * R^-1 * S^2 * R^-1 ] R257.640 : Type {20,20}_8 Order 2560 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-1 * S * R^-1 * S * R^-1 * S * R^-9 * S^2 * R^-1 * S * R^-1 ] R257.641 : Type {20,20}_8 Order 2560 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, (R * S^-4)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R257.642 : Type {20,20}_8 Order 2560 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)^2, (R * S^-2 * R * S^-1)^2, S * R^6 * S * R^-4 ] R257.643 : Type {20,20}_16 Order 2560 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 * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R, R^-3 * S * R^-1 * S * R^-8 * S^2 * R^-1 * S^2 * R^-1 ] R257.644 : Type {20,116}_290 Order 2320 mV = 58 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^29 * R^-4 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^20 ] R257.645 : Type {28,140}_20 Order 2240 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 * R^5 * S^-2 * R, S^-2 * R^-1 * S^8 * R^-3 * S^-10 ] R257.646 : Type {35,70}_4 Order 2240 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^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S^2 * R^-3 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-17 * S^2 ] R257.647 : Type {35,70}_8 Order 2240 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^3 * S^3 * R^-1, R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-4 * S^4 * R^-1 * S * R^-3 * S * R^-8 ] R257.648 : Type {36,36}_4 Order 2304 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^6 * S * R^-1 * S^2 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R^-2 * S^2 * R^-2 * S^6 * R^-1 * S * R^-9 * S * R^-1 * S * R^-1 * S^2 * R^-2 * S^2 * R^-2 ] R257.649 : Type {36,36}_4 Order 2304 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^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, S * R^-1 * S * R^-2 * S^2 * R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-1 * S^2 * R^-9 * S^3 * R^-4 ] R257.650 : Type {36,36}_4 Order 2304 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^6 * S^5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, R * S^-1 * R^2 * S^-2 * R^7 * S^-1 * R^2 * S^-2 ] R257.651 : Type {36,36}_8 Order 2304 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^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^2 * S^-10 * R^3 * S^-1 * R * S^-1 * R^16 * S^-2 ] R257.652 : Type {36,36}_8 Order 2304 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S * R^-2 * S^3 * R^-6 * S^2 * R^-2 * S ] R257.653 : Type {36,36}_8 Order 2304 mV = 6 mF = 6 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, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S^2 * R^-2 * S^4 * R^-3 * S^2 * R^-1 * S * R^-1 * T * S^-2 * R^11 * T * R^-2 * S * R^-1 * S^2 ] R257.654 : Type {36,36}_8 Order 2304 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S * R^-2 * S^3 * R^-3 * S * R^-1 * S * R^-2 * S * R^-2 ] R257.655 : Type {36,36}_8 Order 2304 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^3 * S * R^-1 * S^2, S * R^6 * S^5, R^3 * S^-1 * R^5 * S^-4 * R * S^-2 * R^3 * S^-1 * R^8 * S^-2 * R * S^-1 * R * S^-2 * R ] R257.656 : Type {36,36}_8 Order 2304 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^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^13 * S^-2 * R^5 * S^-1 * R^10 * S^-1 * R^4 ] R257.657 : Type {36,36}_8 Order 2304 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R^-1 * S^3 * R^-3 * S * R^-6 * S^2 * R^-2 ] R257.658 : Type {36,36}_8 Order 2304 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S * R^-2 * S^3 * R^-7 * S^2 * R^-2 ] R257.659 : Type {36,36}_8 Order 2304 mV = 6 mF = 12 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^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, S^4 * R^-1 * S^6 * R^-2 * S * R^-15 * S * R^-2 * S * R^-2 * S ] R257.660 : Type {36,36}_8 Order 2304 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, R^-2 * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-6 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R257.661 : Type {36,36}_8 Order 2304 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^6 * S^5, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, (R^-3 * S^2 * R^-4)^2 ] R257.662 : Type {40,56}_140 Order 2240 mV = 28 mF = 20 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^17 * S * R^-1 * S * R^2, S^14 * R * S^-1 * R * S^13 ] R257.663 : Type {40,56}_140 Order 2240 mV = 28 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-14 * R^-10 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R257.664 : Type {54,135}_20 Order 2160 mV = 45 mF = 9 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-4 * R^-1 * S * R^2 * S^4 * R^-1 * S^-1, S^-2 * R^2 * S^-1 * R^3 * S^-1 * R^12 * S^-1 * R * S^-4 ] R257.665 : Type {68,68}_8 Order 2176 mV = 17 mF = 17 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^36 * S^-1 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-1 * R^7 * S^-2 * R * S^-3 * R * S^-1 * R * S^-2 ] R257.666 : Type {88,264}_12 Order 2112 mV = 132 mF = 44 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^-5 * R * S^6, R^66 * S^-1 * R * S^-1 * R^19 ] R257.667 : Type {88,264}_12 Order 2112 mV = 132 mF = 44 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 * S^-2 * R^2 * S^-2 * R * S^4, R^-5 * S^2 * R^-3 * S * R^-4 * S * R^-11 * S * R^-1 * S^2 * R^-3 * S * R^-1 * S * R^-1 * S * R^-5 ] R257.668 : Type {132,132}_4 Order 2112 mV = 33 mF = 33 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^-1 * R^100 * S^-2 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R257.669 : Type {132,132}_4 Order 2112 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^106 * R^-2 * S * R^-1 * S^2 * R^-15 * S * R^-1 ] R257.670 : Type {132,132}_8 Order 2112 mV = 44 mF = 44 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^-49 * S * R^-3 * S * R^-7 * S * R^-3 * S ] R257.671 : Type {260,260}_4 Order 2080 mV = 130 mF = 130 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^197 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-17 * S ] R257.672 : Type {515,1030}_2 Order 2060 mV = 1030 mF = 515 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^249 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^3 * T * R^-246 ] R257.673 : Type {516,516}_2 Order 2064 mV = 516 mF = 516 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^248 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-249 ] R257.674 : Type {1028,1028}_2 Order 2056 mV = 1028 mF = 1028 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^246 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-248 * R ] Genus 258 R258.1 : Type {4,261}_522 Order 4176 mV = 87 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-261 ] R258.2 : Type {4,518}_1036 Order 4144 mV = 259 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^518 ] R258.3 : Type {4,1032}_1032 Order 4128 mV = 1032 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^258 * R^2 * S^258 ] R258.4 : Type {6,260}_780 Order 3120 mV = 130 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^260 ] R258.5 : Type {8,174}_348 Order 2784 mV = 58 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-44 * R^4 * S^-43 ] R258.6 : Type {8,174}_696 Order 2784 mV = 87 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^174 ] R258.7 : Type {10,645}_258 Order 2580 mV = 645 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-65 * R * S^2 * R^-1 * S^-62 ] R258.8 : Type {12,208}_624 Order 2496 mV = 104 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^52 * R^5 * S^-2 * T * S^2 * R^-1 * T * S^48 ] R258.9 : Type {14,88}_616 Order 2464 mV = 44 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^88 ] R258.10 : Type {14,602}_86 Order 2408 mV = 602 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^43 * R^2 * S^43 ] R258.11 : Type {26,559}_86 Order 2236 mV = 559 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-22 * R * S^2 * R^-1 * S^-19 ] R258.12 : Type {42,182}_78 Order 2184 mV = 91 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^9 * S^-1 * R^3 * S^-1, S^13 * R * S^-5 * R * S^8 ] R258.13 : Type {76,266}_28 Order 2128 mV = 133 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^6 * R^-2 * S * R^-22 * S^7 ] R258.14 : Type {132,176}_48 Order 2112 mV = 88 mF = 66 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^7 * S * R^-5, S^-7 * R^-1 * S^7 * R^-1 * S^-2, R^-1 * S^3 * R^-3 * S * R^-7 * S^6 * R^-1 ] R258.15 : Type {260,520}_8 Order 2080 mV = 520 mF = 130 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^68 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R258.16 : Type {261,261}_4 Order 2088 mV = 87 mF = 87 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^73 * S^-2 * R^14 * S^-1 * R * S^-167 * R ] R258.17 : Type {346,519}_6 Order 2076 mV = 519 mF = 173 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^111 * R^-18 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-18 ] R258.18 : Type {517,1034}_2 Order 2068 mV = 1034 mF = 517 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^494 * R^-2 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * T ] R258.19 : Type {518,518}_2 Order 2072 mV = 518 mF = 518 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^494 * R^-2 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * T ] R258.20 : Type {1032,1032}_2 Order 2064 mV = 1032 mF = 1032 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^248 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-248 * R ] Genus 259 R259.1 : Type {4,90}_18 Order 4320 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-1 * R^-1 * S^7 * R * S^-1 * R * S^7 * R^-1 * S^-2 ] R259.2 : Type {4,520}_520 Order 4160 mV = 260 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^130 * R * S^-1 * R * S^129 ] R259.3 : Type {4,520}_520 Order 4160 mV = 260 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^520 ] R259.4 : Type {4,1036}_518 Order 4144 mV = 1036 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^259 * R^2 * S^259 ] R259.5 : Type {6,132}_66 Order 3168 mV = 33 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^11 * R^2 * S^2 * R^-1 * S^-1 * R * S^8 ] R259.6 : Type {6,132}_66 Order 3168 mV = 33 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^33 * R^2 * S^2 * R^-1 * S^-1 * R * S^30 ] R259.7 : Type {6,261}_522 Order 3132 mV = 87 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-261 ] R259.8 : Type {6,777}_518 Order 3108 mV = 777 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-130 * R^2 * S^-129 ] R259.9 : Type {8,60}_6 Order 2880 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^4 * R^3 * S^4 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R259.10 : Type {8,60}_12 Order 2880 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R259.11 : Type {8,60}_40 Order 2880 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^-7 * R^2 * S^-1 * R^-1 * S^2 * R * S^-3 * R * S^3 * R^-1 * S^-4 ] R259.12 : Type {8,60}_40 Order 2880 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R259.13 : Type {9,21}_6 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-4 * S^-1 * R * S^-3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R259.14 : Type {9,21}_14 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^3 * S^-1 * R^3 * S^-2 * R * S^-2 ] R259.15 : Type {9,21}_14 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-3 * R^2)^2, S^3 * R * S^-1 * R^-4 * S * R^-2 * S * R^-2 * S ] R259.16 : Type {10,24}_6 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R^4 * S^2 * R^-1 * S^-1 * R^2 ] R259.17 : Type {10,24}_12 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6, R^3 * S^-1 * R^4 * S^-1 * R * S^4 ] R259.18 : Type {12,54}_54 Order 2592 mV = 9 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^54 ] R259.19 : Type {12,54}_54 Order 2592 mV = 18 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^54 ] R259.20 : Type {12,54}_216 Order 2592 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-14 * R^-1 * S^6 * R^-5 * S^-7 ] R259.21 : Type {12,312}_104 Order 2496 mV = 156 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^26 * R * S^-1 * R * S^25 ] R259.22 : Type {12,312}_104 Order 2496 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^52 * R * S^-3 * R * S^49 ] R259.23 : Type {16,76}_304 Order 2432 mV = 19 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^76 ] R259.24 : Type {16,76}_304 Order 2432 mV = 38 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^76 ] R259.25 : Type {16,592}_74 Order 2368 mV = 592 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^16, S^37 * R * S^-4 * R * S^33 ] R259.26 : Type {16,592}_148 Order 2368 mV = 592 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^16, S^37 * R^2 * S^37 ] R259.27 : Type {24,96}_96 Order 2304 mV = 16 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^19 * S^-1 * R * S^-1 * R^2, S^24 * R * S^-5 * R * S^19 ] R259.28 : Type {24,96}_96 Order 2304 mV = 16 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^24 * R^2 * S * R^-2 * S^23 ] R259.29 : Type {24,96}_96 Order 2304 mV = 48 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^7 * S * R^-5, S^7 * R * S^-1 * R * S^8 ] R259.30 : Type {24,96}_96 Order 2304 mV = 48 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, (R * S^-1 * R^4)^2, S^-2 * R^-3 * S^3 * R * S^-3 * R^-6 * S^-6 * R^-1 * S * R * S^-1 ] R259.31 : Type {24,96}_96 Order 2304 mV = 48 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^11 * S * R^-1 * S, S^24 * R * S^-1 * R * S^23 ] R259.32 : Type {24,96}_96 Order 2304 mV = 48 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^24 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^13 ] R259.33 : Type {28,280}_40 Order 2240 mV = 140 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^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 * R^5 * S^-2 * R, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R259.34 : Type {28,280}_40 Order 2240 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, R^23 * S^-1 * R * S^-1 * R^2, S^20 * R * S^-5 * R * S^15 ] R259.35 : Type {30,555}_74 Order 2220 mV = 555 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^25 * S^-1 * R * S^-1 * R^2, S^-19 * R * S^11 * R^-1 * S^-7 ] R259.36 : Type {60,180}_18 Order 2160 mV = 60 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^-1 * S * R^-15 * S * R^-1 * S * R^-39 * S ] R259.37 : Type {60,180}_18 Order 2160 mV = 90 mF = 30 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^7 * S * R^-5, S * R^-1 * T * R^11 * S^-2 * T * R^-1 * S^3 * R^-1, S^-3 * R^-1 * S^6 * R^4 * S^3 * R^-1 * S^-1 * R * S^2 * R * S^-3 ] R259.38 : Type {76,532}_14 Order 2128 mV = 532 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^6 * R * S^-6 * R * S^2, R^54 * S^-1 * R * S^-1 * R^19 ] R259.39 : Type {90,90}_6 Order 2160 mV = 18 mF = 18 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-4 * S^2 * R^-1 * S * R^-4 * S^3 * R^-3 ] R259.40 : Type {132,264}_8 Order 2112 mV = 132 mF = 33 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^-3 * S^67 * R^-1 * S^16 * R^-6 * S * R^-14 * S * R^-6 * S^17 ] R259.41 : Type {132,264}_8 Order 2112 mV = 132 mF = 66 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^110 * S^-1 * R * S^-1 * R^19 ] R259.42 : Type {150,525}_14 Order 2100 mV = 525 mF = 75 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^-6 * R * S^2, S^-6 * R^47 * S^-1 * R * S^-1 * R^18 * S^-1 ] R259.43 : Type {519,1038}_2 Order 2076 mV = 1038 mF = 519 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^496 * R^-2 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-2 * T ] R259.44 : Type {520,520}_2 Order 2080 mV = 520 mF = 520 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^496 * R^-2 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-2 * T ] R259.45 : Type {520,520}_4 Order 2080 mV = 520 mF = 520 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^198 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-18 ] R259.46 : Type {1036,1036}_2 Order 2072 mV = 1036 mF = 1036 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^495 * R^-2 * S * R^-1 * S * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * T ] Genus 260 R260.1 : Type {4,522}_1044 Order 4176 mV = 261 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^522 ] R260.2 : Type {4,1040}_1040 Order 4160 mV = 1040 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^260 * R^2 * S^260 ] R260.3 : Type {6,262}_786 Order 3144 mV = 131 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^262 ] R260.4 : Type {6,780}_260 Order 3120 mV = 780 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^130 * R^2 * S^130 ] R260.5 : Type {8,15}_40 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R260.6 : Type {8,15}_70 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^2 * S^2 * R^-3 * S * R^4 * S^-1 * R * S * R^-2 * S^2 ] R260.7 : Type {8,348}_696 Order 2784 mV = 174 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^87 * R^4 * S^87 ] R260.8 : Type {10,132}_660 Order 2640 mV = 66 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^132 ] R260.9 : Type {12,106}_636 Order 2544 mV = 53 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^106 ] R260.10 : Type {12,624}_208 Order 2496 mV = 624 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^52 * R^2 * S^52 ] R260.11 : Type {18,585}_130 Order 2340 mV = 585 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^-1 * S * R^-15 * S, S^-33 * R * S * R^-1 * S^-31 ] R260.12 : Type {20,290}_116 Order 2320 mV = 145 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 * R^-17 * S, S^29 * R * S^-3 * R * S^26 ] R260.13 : Type {22,54}_594 Order 2376 mV = 27 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^54 ] R260.14 : Type {22,572}_52 Order 2288 mV = 572 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^-1 * S * R^-1 * S * R^-18, S^26 * R * S^-3 * R * S^23 ] R260.15 : Type {28,42}_84 Order 2352 mV = 3 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^23 * S^-1 * R * S^-1 * R^2, S^42 ] R260.16 : Type {28,42}_84 Order 2352 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^3 * S^-1 * R^4 * S^-5 * R, R^28 ] R260.17 : Type {28,42}_84 Order 2352 mV = 21 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^42 ] R260.18 : Type {28,560}_80 Order 2240 mV = 560 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^23 * S^-1 * R * S^-1 * R^2, S^20 * R^-2 * S^20 ] R260.19 : Type {42,546}_26 Order 2184 mV = 546 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^31 * S^-1 * R * S^-1 * R^8, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R260.20 : Type {54,540}_20 Order 2160 mV = 540 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^37 * S^-1 * R * S^-1 * R^14 ] R260.21 : Type {77,154}_14 Order 2156 mV = 77 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, R * S^-1 * R^-8 * S^-1 * R^5, R^5 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-16 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-17 * R ] R260.22 : Type {82,533}_26 Order 2132 mV = 533 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^-2 * R^-1 * S^12 * R^-1 * S^-12, S^-7 * R^23 * S^-1 * R * S^-1 * R^2 * S^-6 ] R260.23 : Type {106,530}_10 Order 2120 mV = 530 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^-4 * R * S^5, R^84 * S^-1 * R * S^-1 * R^19 ] R260.24 : Type {132,528}_16 Order 2112 mV = 528 mF = 66 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^7 * R^-1 * S^-3, S^-7 * R^37 * S^-1 * R * S^-1 * R^18 * S^-1 ] R260.25 : Type {262,524}_4 Order 2096 mV = 524 mF = 131 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^200 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-37 ] R260.26 : Type {521,1042}_2 Order 2084 mV = 1042 mF = 521 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^252 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^3 * T * R^-248 * S ] R260.27 : Type {522,522}_2 Order 2088 mV = 522 mF = 522 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^250 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-253 ] R260.28 : Type {1040,1040}_2 Order 2080 mV = 1040 mF = 1040 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^497 * R^-2 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-2 * T ] Genus 261 R261.1 : Type {4,30}_12 Order 4800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-4 * R * S^-1)^2 ] R261.2 : Type {4,30}_20 Order 4800 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R261.3 : Type {4,264}_66 Order 4224 mV = 88 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^33 * R * S^-2 * R * S^31 ] R261.4 : Type {4,264}_132 Order 4224 mV = 66 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^66 * R^2 * S * R^-1 * S^-1 * R * S^64 ] R261.5 : Type {4,264}_132 Order 4224 mV = 88 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^33 * R * S^-8 * R * S^25 ] R261.6 : Type {4,264}_264 Order 4224 mV = 66 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^264 ] R261.7 : Type {4,264}_264 Order 4224 mV = 88 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^264 ] R261.8 : Type {4,264}_264 Order 4224 mV = 88 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^66 * R * S^-2 * R * S^64 ] R261.9 : Type {4,524}_524 Order 4192 mV = 262 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^524 ] R261.10 : Type {4,1044}_522 Order 4176 mV = 1044 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^261 * R^2 * S^261 ] R261.11 : Type {6,16}_80 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R^-2 * S * R^3 * S^-2 * R * S * R^-1 * S^-1 ] R261.12 : Type {6,16}_80 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^16 ] R261.13 : Type {6,42}_42 Order 3360 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^8 * R^2 * S^3 * R^-1 * S^-1 * R * S^2 ] R261.14 : Type {6,68}_204 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^68 ] R261.15 : Type {8,20}_4 Order 3200 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^20 ] R261.16 : Type {8,20}_8 Order 3200 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-20 ] R261.17 : Type {8,176}_176 Order 2816 mV = 44 mF = 2 Defining relations for automorphism group: [ R^8, 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^44 * R * S^-2 * R * S^3 * R^-1 * S^-1 * R * S^38 ] R261.18 : Type {8,176}_176 Order 2816 mV = 44 mF = 2 Defining relations for automorphism group: [ R^8, 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^44 * R^2 * S * R^-1 * S^-5 * R * S^38 ] R261.19 : Type {8,176}_176 Order 2816 mV = 44 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^44 * R^2 * S^2 * R^-1 * S^-3 * R * S^39 ] R261.20 : Type {8,176}_176 Order 2816 mV = 44 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^176 ] R261.21 : Type {8,176}_176 Order 2816 mV = 88 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^22 * R * S^-1 * R * S^21 ] R261.22 : Type {8,176}_176 Order 2816 mV = 88 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^22 * R * S^-5 * R * S^17 ] R261.23 : Type {8,176}_176 Order 2816 mV = 88 mF = 2 Defining relations for automorphism group: [ R^8, 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^44 * R * S^-1 * R * S^43 ] R261.24 : Type {8,176}_176 Order 2816 mV = 88 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^176 ] R261.25 : Type {8,696}_174 Order 2784 mV = 696 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^87 * R * S^-2 * R * S^85 ] R261.26 : Type {8,696}_348 Order 2784 mV = 696 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^87 * R^2 * S^87 ] R261.27 : Type {14,609}_174 Order 2436 mV = 609 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^-44 * R * S^5 * R^-1 * S^-38 ] R261.28 : Type {20,60}_10 Order 2400 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-1 * R * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R261.29 : Type {20,60}_10 Order 2400 mV = 10 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 * R * S^-1 * R * S^-1 * R * S^4, S^4 * R^-8 * S * R^-2 * S * R^-1 * S * R^-2 ] R261.30 : Type {20,60}_10 Order 2400 mV = 20 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^-1 * R)^5, S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R ] R261.31 : Type {20,60}_10 Order 2400 mV = 20 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^6 * S * R^-4, S * R^3 * S^-1 * R^3 * S * R^-1 * S * R^-1 * S * R^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-7 * S^2 * R^-1 * S^2 ] R261.32 : Type {20,60}_60 Order 2400 mV = 6 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 * R^-17 * S, S^60 ] R261.33 : Type {20,60}_60 Order 2400 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, S * R * S^-5 * R * S^6, S^2 * T * R^5 * S^-1 * R^5 * S^-2 * R * T * S^3 * R^-1, R^20 ] R261.34 : Type {20,60}_60 Order 2400 mV = 30 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^60 ] R261.35 : Type {20,580}_58 Order 2320 mV = 580 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 * R^-17 * S, S^29 * R^-2 * S^29 ] R261.36 : Type {24,40}_6 Order 2400 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, R * S^-2 * R^4 * S^-2 * R * S^2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R261.37 : Type {24,40}_6 Order 2400 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^6 * S^-7, S^-2 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-3 ] R261.38 : Type {24,40}_12 Order 2400 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R261.39 : Type {24,40}_12 Order 2400 mV = 4 mF = 8 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, R^8 * S^-1 * R^2 * S^-1, S^4 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^4 ] R261.40 : Type {30,30}_6 Order 2400 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, S * R^6 * S^5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R261.41 : Type {30,30}_20 Order 2400 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^3 * S^2 * 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^-2 * S * R^5 * S * R^-1 * S^-1 * R * S * R^-1, R^-2 * S * R^-2 * S * R^-4 * S * R^-9 * S * R^-3 * S^4 * R^-2 ] R261.42 : Type {30,30}_20 Order 2400 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R^3, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R261.43 : Type {38,551}_58 Order 2204 mV = 551 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^29 * S^-1 * R * S^-1 * R^6, S^-15 * R * S^5 * R^-1 * S^-9 ] R261.44 : Type {68,136}_4 Order 2176 mV = 34 mF = 17 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^39 * S^-1 * R^4 * S^-1 * R^3 * S^-1 * R^11 * S^-1 * R * S^-3 * R * S^-1 * R ] R261.45 : Type {68,136}_8 Order 2176 mV = 34 mF = 17 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 * R^-2 * S^22 * R^-3 * S^2 * R^-3 * S * R^-4 * S * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-5 * S ] R261.46 : Type {118,531}_18 Order 2124 mV = 531 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-7 * R^31 * S^-1 * R * S^-1 * R^16 * S^-2 ] R261.47 : Type {176,528}_6 Order 2112 mV = 528 mF = 88 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^154 * S^-1 * R * S^-1 * R^19 ] R261.48 : Type {176,528}_12 Order 2112 mV = 528 mF = 88 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^-5 * R * S^6, S^-5 * R^61 * S^-1 * R * S^-1 * R^18 * S^-1 ] R261.49 : Type {264,264}_4 Order 2112 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^2, R^-2 * S^168 * R^-1 * S * R^-14 * S^2 * R^-74 * S * R^-1 ] R261.50 : Type {264,264}_4 Order 2112 mV = 88 mF = 88 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^106 * R^-2 * S * R^-1 * S^2 * R^-16 * S ] R261.51 : Type {264,264}_4 Order 2112 mV = 132 mF = 132 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^201 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-36 * S ] R261.52 : Type {264,264}_4 Order 2112 mV = 132 mF = 132 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^100 * S^-2 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R261.53 : Type {264,264}_8 Order 2112 mV = 88 mF = 88 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 * R^-1 * S * R^-1 * S^37 * R^-4 * S^2 * R^-2 * S * R^-1 * S * R^-14 ] R261.54 : Type {264,264}_8 Order 2112 mV = 88 mF = 88 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^39 * R^-4 * S^2 * R^-2 * S * R^-1 * S * R^-14 ] R261.55 : Type {350,525}_6 Order 2100 mV = 525 mF = 175 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^112 * R^-18 * S * R^-1 * S * R^-40 * S ] R261.56 : Type {523,1046}_2 Order 2092 mV = 1046 mF = 523 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^252 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-251 * R ] R261.57 : Type {524,524}_2 Order 2096 mV = 524 mF = 524 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^502 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R * S^-1 ] R261.58 : Type {1044,1044}_2 Order 2088 mV = 1044 mF = 1044 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^250 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-252 * R ] Genus 262 R262.1 : Type {4,526}_1052 Order 4208 mV = 263 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^526 ] R262.2 : Type {4,1048}_1048 Order 4192 mV = 1048 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^262 * R^2 * S^262 ] R262.3 : Type {6,32}_96 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, 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^32 ] R262.4 : Type {6,32}_96 Order 3456 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^32 ] R262.5 : Type {6,90}_30 Order 3240 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-4 * R^2 * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R^2 * S^-1, S^2 * R * S^-4 * R^-2 * S * R^-1 * S^5 ] R262.6 : Type {6,90}_30 Order 3240 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^15 * R^2 * S^4 * R^-1 * S^-3 * R * S^8 ] R262.7 : Type {6,90}_30 Order 3240 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S, S^15 * R^-2 * S * R^-2 * S^5 * R * S^-4 * R * S^5 ] R262.8 : Type {6,90}_30 Order 3240 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^15 * R * S^-5 * R * S^10 ] R262.9 : Type {6,90}_90 Order 3240 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^90 ] R262.10 : Type {6,90}_90 Order 3240 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^90 ] R262.11 : Type {6,90}_90 Order 3240 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^15 * R^2 * S^2 * R^-1 * S^-1 * R * S^12 ] R262.12 : Type {6,90}_90 Order 3240 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^90 ] R262.13 : Type {6,90}_90 Order 3240 mV = 30 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S, S^15 * R^2 * S * R^-1 * S^-4 * R * S * R^-1 * S^-1 * R * S^8 ] R262.14 : Type {6,264}_264 Order 3168 mV = 88 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^264 ] R262.15 : Type {6,264}_264 Order 3168 mV = 132 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^44 * R * S^-1 * R * S^43 ] R262.16 : Type {6,264}_264 Order 3168 mV = 132 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^264 ] R262.17 : Type {6,786}_262 Order 3144 mV = 786 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^131 * R * S^-1 * R * S^130 ] R262.18 : Type {10,655}_262 Order 2620 mV = 655 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-66 * R * S^3 * R^-1 * S^-62 ] R262.19 : Type {12,72}_24 Order 2592 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^3 * S^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^2 * R * S^-4 * R^4 * S^-4 * R * S^2 ] R262.20 : Type {12,72}_24 Order 2592 mV = 12 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^-6 * R^-2 * S^5 * R^-1 * S^-1 * R ] R262.21 : Type {12,72}_24 Order 2592 mV = 24 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^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-4 * R^5 * S^5 * R^-1 * S^-3 ] R262.22 : Type {12,72}_24 Order 2592 mV = 24 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, R * S^-4 * R^2 * S^-1 * R^2 * S^-1 * R * S^6 ] R262.23 : Type {12,72}_72 Order 2592 mV = 12 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^18 * R^5 * S^-6 * R * S^12 ] R262.24 : Type {12,72}_72 Order 2592 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, R^12, (R * S^-1 * R^4)^2, S^18 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S^13 ] R262.25 : Type {12,72}_72 Order 2592 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^3 * S^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^-2 * R^-1 * S * R * S^-2 * R^4 * S^-7 ] R262.26 : Type {12,72}_72 Order 2592 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, S^2 * R * S^-2 * R^-1 * S * R * S^-1 * R^3 * S^6 ] R262.27 : Type {12,72}_72 Order 2592 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S * R^-2, R^-1 * S^5 * R * S^-1 * R^2 * S^-1 * R * S^5 * R^-1 ] R262.28 : Type {12,72}_72 Order 2592 mV = 18 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^18 * R^3 * S^-1 * R * S^5 * R^-1 * S^-2 * R * S^10 ] R262.29 : Type {12,72}_72 Order 2592 mV = 24 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^18 * R * S^-2 * R * S^16 ] R262.30 : Type {12,72}_72 Order 2592 mV = 24 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^3 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^5 ] R262.31 : Type {18,24}_12 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, S * R^-6 * S * R^-1 * S^-1 * R^2 * S ] R262.32 : Type {18,24}_12 Order 2592 mV = 2 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^-1 * S)^3, S^3 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-2 * R * S^3 ] R262.33 : Type {18,24}_12 Order 2592 mV = 2 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^2 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^7 ] R262.34 : Type {18,24}_24 Order 2592 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 * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S * R^-2 * S * R^4 * S^6 ] R262.35 : Type {18,24}_24 Order 2592 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-2 * R * S^-1 ] R262.36 : Type {18,24}_24 Order 2592 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R^4)^2, S^24 ] R262.37 : Type {18,24}_24 Order 2592 mV = 8 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S * R^7 * S * R^-5, S^24 ] R262.38 : Type {18,24}_36 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-1 * R^-6 * S^-2 * R^3 * S^-1, R^-1 * S * R^-5 * S * R^-1 * S^4 ] R262.39 : Type {18,24}_36 Order 2592 mV = 2 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S^2 * R^-7 * S^2 * R^-1 * S^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R262.40 : Type {18,24}_36 Order 2592 mV = 2 mF = 6 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, S^3 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-2 * R * S^3 ] R262.41 : Type {18,24}_72 Order 2592 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, (R * S^-1 * R^4)^2, R^18, S^24 ] R262.42 : Type {18,24}_72 Order 2592 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 * S^-1 * R * S^2 * R^-1 * S, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, R^18 ] R262.43 : Type {18,24}_72 Order 2592 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R262.44 : Type {18,24}_72 Order 2592 mV = 4 mF = 3 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^18, S^24 ] R262.45 : Type {18,24}_72 Order 2592 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, 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^24 ] R262.46 : Type {18,198}_66 Order 2376 mV = 66 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^-1 * S * R^-15 * S, S^33 * R * S^-5 * R * S^28 ] R262.47 : Type {18,198}_66 Order 2376 mV = 99 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^7 * S * R^-5, R^-1 * S * R^-1 * S * R^-9 * S * R^-3 * S, S^11 * R * S^-1 * R * S^10 ] R262.48 : Type {30,114}_190 Order 2280 mV = 57 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^19 * R * S^-3 * R * S^16 ] R262.49 : Type {42,63}_6 Order 2268 mV = 21 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, R^13 * S^-2 * R * S^-1 * R * S^-2 * R ] R262.50 : Type {42,63}_6 Order 2268 mV = 21 mF = 7 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, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-4 * R^12 * S^-5 ] R262.51 : Type {42,63}_18 Order 2268 mV = 21 mF = 7 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^-4 * R^12 * S^-5 ] R262.52 : Type {42,63}_18 Order 2268 mV = 21 mF = 7 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^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^-4 * R^12 * S^-5 ] R262.53 : Type {90,180}_12 Order 2160 mV = 60 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^-5 * R * S^6, S^-4 * R^19 * S^-5 * R^40 * S^-1 * R * S^-1 * R^18 * S^-1 ] R262.54 : Type {90,180}_12 Order 2160 mV = 90 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^7 * S * R^-5, R^32 * S^-12 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-18 ] R262.55 : Type {177,354}_6 Order 2124 mV = 177 mF = 59 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^113 * R^-1 * S^16 * R^-6 * S * R^-14 * S * R^-6 * S^17 ] R262.56 : Type {525,1050}_2 Order 2100 mV = 1050 mF = 525 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^256 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^3 * T * R^-248 * S ] R262.57 : Type {526,526}_2 Order 2104 mV = 526 mF = 526 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^250 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-257 ] R262.58 : Type {1048,1048}_2 Order 2096 mV = 1048 mF = 1048 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^502 * S^-2 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R^2 ] Genus 263 R263.1 : Type {4,528}_528 Order 4224 mV = 264 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^132 * R * S^-1 * R * S^131 ] R263.2 : Type {4,528}_528 Order 4224 mV = 264 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^528 ] R263.3 : Type {4,1052}_526 Order 4208 mV = 1052 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^263 * R^2 * S^263 ] R263.4 : Type {6,789}_526 Order 3156 mV = 789 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-132 * R * S * R^-1 * S^-130 ] R263.5 : Type {8,90}_90 Order 2880 mV = 15 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^90 ] R263.6 : Type {8,90}_180 Order 2880 mV = 30 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^90 ] R263.7 : Type {8,352}_352 Order 2816 mV = 176 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^88 * R * S^-1 * R * S^87 ] R263.8 : Type {8,352}_352 Order 2816 mV = 176 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^88 * R^4 * S^88 ] R263.9 : Type {12,212}_318 Order 2544 mV = 106 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^53 * R^5 * S^-2 * T * S^2 * R^-1 * T * S^49 ] R263.10 : Type {16,152}_304 Order 2432 mV = 76 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^38 * R^-4 * S^2 * T * R * S^3 * R^-2 * T * S^-2 * R * S^31 ] R263.11 : Type {16,152}_304 Order 2432 mV = 76 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^38 * R * S^-1 * R * S^37 ] R263.12 : Type {32,72}_288 Order 2304 mV = 36 mF = 16 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^-14 * S^-1 * R * S^-1 * R^-1, S^18 * R * S^-1 * R * S^17 ] R263.13 : Type {32,72}_288 Order 2304 mV = 36 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^18 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^3 ] R263.14 : Type {40,140}_56 Order 2240 mV = 35 mF = 20 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^-5 * S * R^-1 * S * R^-29 * S, S^14 * R * S^-3 * R * S^11 ] R263.15 : Type {40,140}_56 Order 2240 mV = 70 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^-1 * T * S^-1 * R^9 * S^-2 * T * R^-1 * S^3 * R^-1, S^14 * R * S^-3 * R * S^11 ] R263.16 : Type {44,52}_286 Order 2288 mV = 26 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * R^-1 * S^-1 * R * S * R^-1 * S^-2 * T * S^3 * T * S^-2 * R^11 * S^3 * T * R * S * R^-2 * S * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R263.17 : Type {68,272}_16 Order 2176 mV = 136 mF = 17 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^-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^-5 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-6 ] R263.18 : Type {68,272}_16 Order 2176 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^-6 * R^-1 * S^7 * R^-1 * S^-3, S^-1 * R * S^-2 * R^42 * S^-1 * R * S^-1 * R^18 * S^-1 ] R263.19 : Type {527,1054}_2 Order 2108 mV = 1054 mF = 527 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^254 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R * T * R^-249 ] R263.20 : Type {528,528}_2 Order 2112 mV = 528 mF = 528 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^250 * T * R^-1 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-254 * R ] R263.21 : Type {528,528}_4 Order 2112 mV = 528 mF = 528 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^202 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-37 ] R263.22 : Type {1052,1052}_2 Order 2104 mV = 1052 mF = 1052 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^250 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-256 * R ] Genus 264 R264.1 : Type {4,267}_534 Order 4272 mV = 89 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-267 ] R264.2 : Type {4,530}_1060 Order 4240 mV = 265 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^530 ] R264.3 : Type {4,1056}_1056 Order 4224 mV = 1056 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^264 * R^2 * S^264 ] R264.4 : Type {6,266}_798 Order 3192 mV = 133 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^266 ] R264.5 : Type {8,178}_712 Order 2848 mV = 89 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^178 ] R264.6 : Type {10,134}_670 Order 2680 mV = 67 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^134 ] R264.7 : Type {10,660}_132 Order 2640 mV = 660 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^66 * R^2 * S^66 ] R264.8 : Type {12,318}_212 Order 2544 mV = 159 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^53 * R * S^-1 * R * S^52 ] R264.9 : Type {14,90}_630 Order 2520 mV = 45 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^90 ] R264.10 : Type {14,616}_88 Order 2464 mV = 616 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^44 * R * S^-1 * R * S^43 ] R264.11 : Type {18,68}_612 Order 2448 mV = 34 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^68 ] R264.12 : Type {24,50}_600 Order 2400 mV = 25 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^50 ] R264.13 : Type {26,46}_598 Order 2392 mV = 23 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^46 ] R264.14 : Type {26,572}_44 Order 2288 mV = 572 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^22 * R^-1 * S^-9 * R * S^13 ] R264.15 : Type {30,190}_114 Order 2280 mV = 95 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^19 * R * S^-3 * R * S^16 ] R264.16 : Type {34,561}_66 Order 2244 mV = 561 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^27 * S^-1 * R * S^-1 * R^4, S^-17 * R * S^8 * R^-1 * S^-8 ] R264.17 : Type {36,64}_576 Order 2304 mV = 32 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-11 * T * R^-1 * S^-1 * T * S^4 * R^-5 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R264.18 : Type {46,552}_24 Order 2208 mV = 552 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^-2 * R^-1 * S^11 * R^-1 * S^-11, R^33 * S^-1 * R * S^-1 * R^10 ] R264.19 : Type {50,550}_22 Order 2200 mV = 550 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^-2 * R^-1 * S^10 * R^-1 * S^-10, R^35 * S^-1 * R * S^-1 * R^12 ] R264.20 : Type {68,544}_32 Order 2176 mV = 544 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^-7 * R^18 * S^-9 ] R264.21 : Type {78,182}_42 Order 2184 mV = 91 mF = 39 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^7 * S * R^-5, R^2 * S^2 * R * S^-4 * R^3 * S^8, S^-1 * R * S^-1 * R * S^-1 * R^12 * S^-1 * R^5 * S^-2 * R ] R264.22 : Type {98,539}_22 Order 2156 mV = 539 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^7 * R^-3 * S * R^-1 * S * R^-32 * S^4 ] R264.23 : Type {108,270}_20 Order 2160 mV = 135 mF = 54 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^9 * R^-1 * S^-9, S^7 * R^-5 * S * R^-1 * S * R^-36 * S^3 ] R264.24 : Type {134,536}_8 Order 2144 mV = 536 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^-3 * R * S^4, R^112 * S^-1 * R * S^-1 * R^19 ] R264.25 : Type {178,534}_6 Order 2136 mV = 534 mF = 89 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^156 * S^-1 * R * S^-1 * R^19 ] R264.26 : Type {266,532}_4 Order 2128 mV = 532 mF = 133 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^240 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^19 ] R264.27 : Type {267,267}_4 Order 2136 mV = 89 mF = 89 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^76 * S^-2 * R^14 * S^-1 * R * S^-170 * R ] R264.28 : Type {529,1058}_2 Order 2116 mV = 1058 mF = 529 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^255 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * R^2 * S^-1 * R * T * R^-249 * S ] R264.29 : Type {530,530}_2 Order 2120 mV = 530 mF = 530 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^253 * T * R^-1 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-254 ] R264.30 : Type {1056,1056}_2 Order 2112 mV = 1056 mF = 1056 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^250 * T * R^-1 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-255 ] Genus 265 R265.1 : Type {3,10}_24 Order 15840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-2 ] R265.2 : Type {3,10}_132 Order 15840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S^4 * R * S^-2 * R^2 * S^3 * R^-1 * S^3 * R^-1 * S^-2 * R * S ] R265.3 : Type {3,28}_24 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^4, S * R * S^-6 * R * S^-1 * R * S^-6 * R * S^2 ] R265.4 : Type {3,30}_12 Order 7920 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3, 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 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 * R^-1 * S^3 * R^-1 * S^2 ] R265.5 : Type {3,30}_22 Order 7920 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2, S^-2 * R * S^-4 * R^-1 * S^5 * R^-1 * S^-4 * R * S^-1 ] R265.6 : Type {4,15}_12 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-3 * R^2 * S^4 * R^-1 * S * R^-1 ] R265.7 : Type {4,20}_6 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * R)^5, R^-1 * S^4 * R^-1 * S * R * S^-1 * R * S^-3 * R * S * R^-1 * S^2, S^3 * R^-1 * S * R * S^-3 * R * S^2 * R^-1 * S^-2 * R * S^2 ] R265.8 : Type {4,20}_6 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-2 * R^-1 * S^2 * R * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-3 * R ] R265.9 : Type {4,20}_12 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, S^3 * R * S^-1 * R * S^-1 * R * S^6, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-2 ] R265.10 : Type {4,20}_12 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-2, 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 ] R265.11 : Type {4,48}_4 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R265.12 : Type {4,48}_8 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S, S^-11 * R * S^-1 * R^-1 * S * R^2 * S^-11 ] R265.13 : Type {4,48}_16 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^6 * R * S^-1 * R^-1 * S^6 * R^-1 * S^-1 * R * S^2, (R * S^-1)^12 ] R265.14 : Type {4,48}_16 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^6 * R * S^-1 * R^-1 * S^6 * R^-1 * S^-1 * R * S^2, S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S * R^-1 * S^4 * R^-1 * S^-5 ] R265.15 : Type {4,48}_16 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, (R * S^-2)^4, R * S^-5 * R^-1 * S^2 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 * R * S^-1 ] R265.16 : Type {4,48}_16 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, (R * S^-2)^4, R * S^-5 * R^-1 * S^2 * R^-1 * S * R * S^-2 * R * S^-2 * R * S * R^-1 * S^2 * R^-1 * S^-5 ] R265.17 : Type {4,70}_70 Order 4480 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^70 ] R265.18 : Type {4,70}_140 Order 4480 mV = 14 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-18 * R * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-10 ] R265.19 : Type {4,136}_68 Order 4352 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^34 * R^2 * S * R^-1 * S^-1 * R * S^32 ] R265.20 : Type {4,136}_136 Order 4352 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^34 * R^2 * S * R^-1 * S^-5 * R * S^28 ] R265.21 : Type {4,136}_136 Order 4352 mV = 34 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^136 ] R265.22 : Type {4,136}_136 Order 4352 mV = 34 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^34 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^25 ] R265.23 : Type {4,268}_268 Order 4288 mV = 67 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^268 ] R265.24 : Type {4,532}_532 Order 4256 mV = 266 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^532 ] R265.25 : Type {4,1060}_530 Order 4240 mV = 1060 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^265 * R^2 * S^265 ] R265.26 : Type {5,10}_24 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1, S^-1 * R^2 * S^-3 * R^-2 * S^5 * R * S^-1 * R ] R265.27 : Type {5,10}_44 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R ] R265.28 : Type {6,14}_18 Order 4032 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, S * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^3 * R^-1 * S ] R265.29 : Type {6,14}_24 Order 4032 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^14, (R * S^-3)^4, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R265.30 : Type {6,14}_42 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R265.31 : Type {6,15}_6 Order 3960 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-4 * R * S^5, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1, R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S * R^-2 * S^2 ] R265.32 : Type {6,15}_12 Order 3960 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^3 * R^-1, (R^-2 * S)^5 ] R265.33 : Type {6,36}_18 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^-2 * S * R * S^-1 * R^2 * S^-4 * R * S ] R265.34 : Type {6,36}_18 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] R265.35 : Type {6,36}_18 Order 3456 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^-6 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-1 * R^2 * S^-4 * R * S^2 * R^-1 * S^-2 ] R265.36 : Type {6,36}_72 Order 3456 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^36 ] R265.37 : Type {6,36}_72 Order 3456 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^36 ] R265.38 : Type {6,69}_276 Order 3312 mV = 23 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-69 ] R265.39 : Type {6,102}_136 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^17 * R^2 * S * R^-1 * S^-4 * R * S^12 ] R265.40 : Type {6,201}_268 Order 3216 mV = 67 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-35 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-29 ] R265.41 : Type {6,267}_534 Order 3204 mV = 89 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-267 ] R265.42 : Type {6,795}_530 Order 3180 mV = 795 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-133 * R^2 * S^-132 ] R265.43 : Type {8,10}_24 Order 3840 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1, R^-1 * S^-5 * R * S^-1 * R * S^5 * R^-1 * S ] R265.44 : Type {8,120}_20 Order 2880 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^-7 * R^2 * S^-1 * R^-1 * S^2 * R^-2 * S^3 * R^-1 * S^-7 ] R265.45 : Type {8,120}_20 Order 2880 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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^2 * S^3 * R^-1 * S^-7 ] R265.46 : Type {9,12}_72 Order 3456 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^2 * R^-1 * S^3 * R * S^-3 * R * S^-2 * R * S^2 ] R265.47 : Type {9,12}_72 Order 3456 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S * R^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^2 ] R265.48 : Type {10,30}_6 Order 2880 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3, (R * S^-3 * R^2)^2 ] R265.49 : Type {12,20}_6 Order 2880 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^12, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R265.50 : Type {12,20}_12 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^12, (R * S^-1 * R^4)^2, S^3 * R^4 * S^3 * R^-2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R265.51 : Type {12,20}_12 Order 2880 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^12, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-3 * R^5 * S^-4 * R * S^-1, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 ] R265.52 : Type {12,20}_20 Order 2880 mV = 5 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^12, S^20 ] R265.53 : Type {12,20}_24 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R265.54 : Type {12,20}_30 Order 2880 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^3 * R^2 * S^-1 * R^2 * S^6, R * S^-2 * R * S^-2 * R^-2 * S^-3 * R * S^-1 * R * S^2 ] R265.55 : Type {12,20}_30 Order 2880 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, (R * S^-3 * R * S^-2)^2, S^5 * R^-6 * S^5 ] R265.56 : Type {12,42}_56 Order 2688 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-3 * R^-1 * S^2 * R * S^-1 * R^-3 * S^6 * R^-1 * S^-2 ] R265.57 : Type {12,42}_56 Order 2688 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^12, (R * S^-1 * R^4)^2, S * R * S^-1 * R^2 * S^-1 * R^3 * S * R^-3 * S^-1 * R * S^2 ] R265.58 : Type {12,108}_108 Order 2592 mV = 18 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^108 ] R265.59 : Type {12,108}_108 Order 2592 mV = 54 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^108 ] R265.60 : Type {12,636}_106 Order 2544 mV = 636 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^53 * R * S^-4 * R * S^49 ] R265.61 : Type {14,28}_6 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-2 * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-1 ] R265.62 : Type {14,28}_12 Order 2688 mV = 4 mF = 1 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^4 * S * R^-1 * S^-1 * R^2 ] R265.63 : Type {15,15}_24 Order 2880 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 * R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^5 * S * R^-1 * S^4, S * R^-1 * S * R^5 * S^-1 * R * S^4, S^-1 * R^-1 * S * R * S^-1 * R^3 * S * R^-1 * S^-2 * R^2, R * S^2 * R^-1 * S * R * S^-1 * R^-5 * S^-1 * R^2 ] R265.64 : Type {16,40}_20 Order 2560 mV = 10 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^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R265.65 : Type {16,40}_40 Order 2560 mV = 10 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^16, (R * S^-1 * R^6)^2, S^-5 * R^-1 * S^4 * R^-2 * S * R * S^-2 * R * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-3 ] R265.66 : Type {16,40}_80 Order 2560 mV = 5 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^40 ] R265.67 : Type {16,40}_80 Order 2560 mV = 5 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^40 ] R265.68 : Type {16,40}_80 Order 2560 mV = 5 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R265.69 : Type {16,40}_80 Order 2560 mV = 5 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^10 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^6 ] R265.70 : Type {16,40}_80 Order 2560 mV = 10 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^16, S^40 ] R265.71 : Type {16,40}_80 Order 2560 mV = 10 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^40 ] R265.72 : Type {16,40}_80 Order 2560 mV = 10 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, R^16, S^10 * R^4 * S^3 * R^-1 * S^-1 * R * S^4 * R^2 * S^2 ] R265.73 : Type {16,40}_80 Order 2560 mV = 10 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^11 * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^3 ] R265.74 : Type {16,40}_80 Order 2560 mV = 10 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, S^10 * R^2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^4 ] R265.75 : Type {16,40}_80 Order 2560 mV = 10 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^10 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^5 ] R265.76 : Type {16,40}_80 Order 2560 mV = 10 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, R^16, S^10 * R^4 * S * R^-1 * S^-1 * R * S * R^-1 * S^-5 * R * S^2 ] R265.77 : Type {16,40}_80 Order 2560 mV = 10 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, R^16, S^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R265.78 : Type {16,304}_76 Order 2432 mV = 152 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^38 * R * S^-1 * R * S^37 ] R265.79 : Type {16,304}_76 Order 2432 mV = 152 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^16, S^38 * R * S^-5 * R * S^33 ] R265.80 : Type {16,304}_152 Order 2432 mV = 152 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^16, S^38 * R * S^-1 * R * S^37 ] R265.81 : Type {16,304}_152 Order 2432 mV = 152 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^38 * R * S^-5 * R * S^33 ] R265.82 : Type {22,55}_110 Order 2420 mV = 5 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^-1 * S * R^-19 * S, S^-55 ] R265.83 : Type {22,583}_106 Order 2332 mV = 583 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^-1 * S * R^-1 * S * R^-18, S^-27 * R^2 * S^-26 ] R265.84 : Type {32,96}_4 Order 2304 mV = 16 mF = 8 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R^2 * S^-1 * R^18 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R^2 ] R265.85 : Type {32,96}_4 Order 2304 mV = 16 mF = 8 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^-6 * R^-2 * S^4 * R^-2 * S^-2, R * S^-1 * R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R265.86 : Type {32,96}_8 Order 2304 mV = 16 mF = 8 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, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, R^10 * S^-2 * R^2 * S^-2 ] R265.87 : Type {32,96}_8 Order 2304 mV = 16 mF = 8 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, S^3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2, R^10 * S^-2 * R^2 * S^-2 ] R265.88 : Type {36,72}_4 Order 2304 mV = 9 mF = 9 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, S^-1 * R^7 * S^-1 * R^16 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-2 * R ] R265.89 : Type {36,72}_4 Order 2304 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, R * S^-1 * R * S^-14 * R^2 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R^2 ] R265.90 : Type {36,72}_4 Order 2304 mV = 12 mF = 6 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 * S^-17 * R * S^-4 * R^8 * S^-2 * R * S^-1 * R ] R265.91 : Type {36,72}_8 Order 2304 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, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^2 * S^-1 * R^11 * S^-2 * R^12 * S^-7 * R ] R265.92 : Type {36,72}_8 Order 2304 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^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^6 * S * R^-1 * S^2 * R^-1, R^-1 * S^3 * R^-1 * S * R^-1 * S^5 * R^-1 * S^2 * R^-1 * S^2 * R^-8 * S * R^-3 * S^4 * R^-2 ] R265.93 : Type {36,72}_8 Order 2304 mV = 12 mF = 6 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, S * R^-7 * S^3 * R^-1 * S * R^-2 * S * R^-9 * S^2 * R^-1 * S * R^-2 * S * R^-4 ] R265.94 : Type {36,72}_8 Order 2304 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^-1 * S * R^4 * S^4 * R^-1 * S^-1, R * S^-3 * T * S^3 * R^-2 * S * R^-1 * S^2 * R^-4 * T * S^-1 ] R265.95 : Type {36,72}_8 Order 2304 mV = 18 mF = 9 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 * R^-4 * S * R^-1 * S * R^-12 * S * R^-2 * S * R^-1 * S^2 * R^-7 * S ] R265.96 : Type {36,72}_8 Order 2304 mV = 18 mF = 9 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^6 * S^-5 * R^3 * S^-1 * R * T * S^4 * R^-7 * S * T * S^-2 * R * S^-3 * R^2 ] R265.97 : Type {36,72}_8 Order 2304 mV = 24 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^-1 * S * R^4 * S^4 * R^-1 * S^-1, R * S^-3 * T * S^3 * R^-2 * S * R^-2 * S * R^-4 * T * R ] R265.98 : Type {36,72}_8 Order 2304 mV = 24 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-2 * R^-1 * S * R^4 * S^4 * R^-1 * S^-1, R * S^-3 * T * S^3 * R^-2 * S * R^-1 * S * R^-2 * S^2 * T * R^2 ] R265.99 : Type {36,72}_16 Order 2304 mV = 12 mF = 12 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 * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R, S^2 * R * S^-3 * R * S^-1 * R * S^-2 * R * S^-1 * R * S ] R265.100 : Type {36,72}_16 Order 2304 mV = 12 mF = 12 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^-2 * R * S^3 * R^-1 * S^2 ] R265.101 : Type {40,280}_28 Order 2240 mV = 140 mF = 20 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^-5 * S * R^-1 * S * R^-29 * S, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R265.102 : Type {40,280}_28 Order 2240 mV = 140 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^-1 * T * S^-1 * R^9 * S^-2 * T * R^-1 * S^3 * R^-1, S^14 * R^2 * S^3 * R^-1 * S^-3 * R * S^8 ] R265.103 : Type {48,48}_6 Order 2304 mV = 8 mF = 12 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^4 * S^2 * R^-3, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R^6)^2 ] R265.104 : Type {48,48}_6 Order 2304 mV = 8 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-1 * R^4 * S^2 * R^-3, S^-4 * R^3 * S * R^-1 * S^-1 * R^2 ] R265.105 : Type {48,48}_6 Order 2304 mV = 12 mF = 16 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^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-3 * R * S^-1 * R * S^-3 * R^7 * S^-1 * R^7 ] R265.106 : Type {48,48}_6 Order 2304 mV = 16 mF = 12 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, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-1 * R^2 * S^-2 * R^4 * S^-3 * R * S^-4 * T * R^-1 * S * R^-1 * S^2 * R^-6 * S * T * S^-1 * R^2 * S^-1 * R * S^-2 * R^2 * S^-1 ] R265.107 : Type {48,48}_12 Order 2304 mV = 8 mF = 12 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^4 * S^2 * R^-3, S^-4 * R^3 * S * R^-1 * S^-1 * R^2 ] R265.108 : Type {48,48}_12 Order 2304 mV = 8 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R * S^-2 * R^3 * S^3 * R^-2 ] R265.109 : Type {48,48}_12 Order 2304 mV = 8 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^7 * R^-2 * S * R^-15 * S * R^-2 * S * R^-2 ] R265.110 : Type {48,48}_12 Order 2304 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^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^7 * S * R^-5, R^2 * S^-5 * R^9 * S^-3 * R^2 * S^-1 * R * S^-1 ] R265.111 : Type {48,48}_12 Order 2304 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^-6 * S^-1 * R^5 * S^2, R^-2 * S * R^-1 * S^4 * R^-1 * S * R^-1 * S^2 * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 ] R265.112 : Type {48,48}_12 Order 2304 mV = 12 mF = 4 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 * S^-1 * R^-6 * S^-1 * R^5 * S^2, S^-1 * R * S^-3 * R * S^-3 * R^5 * S^-3 * R^3 * S^-2 * R^2 ] R265.113 : Type {48,48}_12 Order 2304 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, (R * S^-1 * R^6)^2, R * S^-1 * R^-1 * S * R * S^-3 * R^-8 * S^-6 * R^-1 * S ] R265.114 : Type {48,48}_12 Order 2304 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 * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^4 * S^2 * R^-3, R^2 * S^2 * R^3 * S^-1 * R^-1 * S * R^5 * S^-4 * R * S^4 ] R265.115 : Type {48,48}_12 Order 2304 mV = 12 mF = 16 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, S * R^7 * S * R^-5, R^-5 * S^2 * R^-1 * S * R^-6 * S * R^-4 * S^2 * R^-2 ] R265.116 : Type {48,48}_12 Order 2304 mV = 16 mF = 12 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, R^2 * S^-1 * R^2 * S^-1 * R * S^-2 * R^7 * S^-2 * R * S^-1 * R^2 * S^-1 * R ] R265.117 : Type {48,48}_24 Order 2304 mV = 8 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^-1 * R * S^3 * R^-1 * S, (R^-7 * S^3 * R^-2)^2 ] R265.118 : Type {48,48}_24 Order 2304 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^3 * S^2 * R^-2, S * R^6 * S^5, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^5 * S^-4 * R^7 * S^-1 * R^2 * S^-1 * R * S^-2 * R ] R265.119 : Type {48,48}_24 Order 2304 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^-1 * S^2 * T * R^11 * S^-2 * R * T * S * R^-2 * S^3 * R^-1 ] R265.120 : Type {48,48}_24 Order 2304 mV = 12 mF = 4 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 * S^-1 * R^-8 * S^-3 * R^3, S^-1 * R * S^-3 * R * S^-3 * R^5 * S^-3 * R^3 * S^-2 * R^2 ] R265.121 : Type {48,48}_24 Order 2304 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^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, S * R^7 * S * R^-5, R^-2 * S * R^-1 * S^4 * R^-2 * S^5 * R^-5 * S * R^-8 * S * R^-3 * S^2 * R^-1 * S * R^-2 * S^3 * R^-1 * S^4 * R^-1 ] R265.122 : Type {48,48}_24 Order 2304 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^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R^15 * S^-1 * R^5 * S^-1 * R^2 ] R265.123 : Type {48,48}_24 Order 2304 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, (R * S^-1 * R^6)^2, S * R^-2 * S^3 * R * S^-1 * R^-8 * S^-6 * R^-1 * S ] R265.124 : Type {48,48}_24 Order 2304 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 * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R * S^2 * R^3 * S^-1 * R^-1 * S * R^3 * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R265.125 : Type {48,48}_24 Order 2304 mV = 12 mF = 24 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^11 * S * R^-1 * S, S^12 * R * S^-3 * R * S^9 ] R265.126 : Type {48,48}_24 Order 2304 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 * S^2, R^-1 * S * R^13 * S * R^-10, S^10 * R^-6 * S * R^-14 * S * R^-6 * S^8 * R^-2 ] R265.127 : Type {48,48}_24 Order 2304 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 * S^-3 * R * S^4, R^-2 * S * R^-5 * S * R^-7 * S * R^-4 * S^3, R^17 * S * R^-1 * S^-3 * R^6 ] R265.128 : Type {48,48}_24 Order 2304 mV = 24 mF = 8 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^7 * R * S^-1 * R * S^8, R^17 * S^4 * R * S^-1 * R^-3 * S^3 * R^3 ] R265.129 : Type {48,48}_24 Order 2304 mV = 24 mF = 8 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^2 * S^-1 * R^2 * S^-5, R^13 * S * R^-5 * S * R^6 ] R265.130 : Type {48,48}_24 Order 2304 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 * S^-5 * R * S^6, (R * S^-1 * R^6)^2, R^15 * S * R^-3 * S * R^6 ] R265.131 : Type {48,48}_24 Order 2304 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * T * S^3 * T * S^-2 * R^11 * S^3 * T * R * S * R^-2 * S * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] R265.132 : Type {48,48}_24 Order 2304 mV = 24 mF = 24 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^19 * S * R^-1 * S * R^4, S^12 * R * S^-1 * R * S^11 ] R265.133 : Type {70,70}_4 Order 2240 mV = 14 mF = 14 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^50 * S^-1 * R * S^-1 * R^11 * S^-2 ] R265.134 : Type {70,70}_8 Order 2240 mV = 14 mF = 14 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 * S^-10 * R^2 * S^-2 * R * S^-2 * R^2 * S^-1 * R^7 * S^-1 * R * S^-3 * R * S^-1 ] R265.135 : Type {108,540}_10 Order 2160 mV = 540 mF = 54 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^39 * S^-4 * R^40 * S^-1 * R * S^-1 * R^18 * S^-1 ] R265.136 : Type {135,270}_4 Order 2160 mV = 90 mF = 45 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^109 * R^-2 * S * R^-1 * S^2 * R^-16 * S ] R265.137 : Type {136,136}_4 Order 2176 mV = 34 mF = 34 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^-1 * R^104 * S^-3 * R * S^-1 * R^2 * S^-2 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R265.138 : Type {136,136}_8 Order 2176 mV = 34 mF = 34 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^20 * R^-7 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-6 ] R265.139 : Type {136,136}_8 Order 2176 mV = 34 mF = 34 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^-2 * R^33 * S^-1 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-1 * R^7 * S^-2 * R * S^-3 * R * S^-1 * R^3 ] R265.140 : Type {136,136}_8 Order 2176 mV = 68 mF = 34 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^74 * S^-16 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-18 ] R265.141 : Type {136,136}_8 Order 2176 mV = 68 mF = 68 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 * R^-2 * S^22 * R^-3 * S^2 * R^-3 * S * R^-4 * S * R^-15 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-5 * S ] R265.142 : Type {180,180}_6 Order 2160 mV = 90 mF = 60 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^117 * S^-16 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-17 * R ] R265.143 : Type {214,535}_10 Order 2140 mV = 535 mF = 107 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^44 * R^-24 * T * R^13 * T * R^-4 * S * R^-1 * S * R^-18 * S ] R265.144 : Type {268,268}_4 Order 2144 mV = 134 mF = 134 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^242 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^19 ] R265.145 : Type {531,1062}_2 Order 2124 mV = 1062 mF = 531 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^253 * R^-1 * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-253 * S ] R265.146 : Type {532,532}_2 Order 2128 mV = 532 mF = 532 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^256 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-252 * R ] R265.147 : Type {1060,1060}_2 Order 2120 mV = 1060 mF = 1060 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^253 * T * R^-1 * S * R^-2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-253 * R ] Genus 266 R266.1 : Type {4,110}_44 Order 4400 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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)^10, S^2 * R * S^-1 * R^-1 * S^14 * R^-1 * S^-1 * R * S^4 ] R266.2 : Type {4,534}_1068 Order 4272 mV = 267 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^534 ] R266.3 : Type {4,1064}_1064 Order 4256 mV = 1064 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^266 * R^2 * S^266 ] R266.4 : Type {6,268}_804 Order 3216 mV = 134 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^268 ] R266.5 : Type {6,798}_266 Order 3192 mV = 798 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^133 * R * S^-6 * R * S^127 ] R266.6 : Type {8,356}_712 Order 2848 mV = 178 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^89 * R^4 * S^89 ] R266.7 : Type {10,135}_270 Order 2700 mV = 27 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-135 ] R266.8 : Type {10,665}_266 Order 2660 mV = 665 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-67 * R^2 * S^-66 ] R266.9 : Type {16,78}_624 Order 2496 mV = 39 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^78 ] R266.10 : Type {20,120}_120 Order 2400 mV = 24 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 * R^-17 * S, S^30 * R * S^-4 * R * S^26 ] R266.11 : Type {20,120}_120 Order 2400 mV = 60 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^-2 * S^3 * R * S^-1 * R^-6 * S^-3 * R * S^4 ] R266.12 : Type {20,120}_120 Order 2400 mV = 60 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^30 * R^-4 * S^2 * T * R * S^3 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^21 ] R266.13 : Type {24,60}_8 Order 2400 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-2 * R^2 * S^-1, S^4 * R^4 * S^6 ] R266.14 : Type {30,40}_60 Order 2400 mV = 10 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 * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^-12 * S^-3 * R ] R266.15 : Type {30,40}_120 Order 2400 mV = 4 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^40 ] R266.16 : Type {30,40}_120 Order 2400 mV = 20 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^2 * T * R^5 * S^-1 * R^5 * S^-2 * R * T * S^3 * R^-1, R^30 ] R266.17 : Type {30,40}_120 Order 2400 mV = 20 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^40 ] R266.18 : Type {30,570}_38 Order 2280 mV = 570 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^25 * S^-1 * R * S^-1 * R^2, S^19 * R * S^-3 * R * S^16 ] R266.19 : Type {58,551}_38 Order 2204 mV = 551 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^7 * R^-10 * S^12 ] R266.20 : Type {69,184}_12 Order 2208 mV = 46 mF = 23 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^-1 * S^2 * R^-15 * S * R^-1 * S ] R266.21 : Type {70,80}_112 Order 2240 mV = 40 mF = 35 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^-13 * S^-1, S^-7 * R^-1 * S^7 * R^-1 * S^-2 ] R266.22 : Type {78,546}_14 Order 2184 mV = 546 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^6 * R * S^-6 * R * S^2, S^13 * R^-19 * S * R^-1 * S * R^-42 * S ] R266.23 : Type {110,110}_10 Order 2200 mV = 55 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^6 * S * R^-4, R^52 * S^-12 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-18 ] R266.24 : Type {110,110}_10 Order 2200 mV = 55 mF = 55 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^-3 * R^-5 * S * R^2 * S^3 * R^-1 * S^-3 * R, S * R^-6 * S * R^-6 * S^8 ] R266.25 : Type {268,536}_8 Order 2144 mV = 536 mF = 134 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^109 * S^-1 * R * S^-1 * R^18 * S^-1 ] R266.26 : Type {533,1066}_2 Order 2132 mV = 1066 mF = 533 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^258 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-254 * S ] R266.27 : Type {534,534}_2 Order 2136 mV = 534 mF = 534 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^257 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-257 ] R266.28 : Type {1064,1064}_2 Order 2128 mV = 1064 mF = 1064 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^256 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-253 ] Genus 267 R267.1 : Type {4,270}_270 Order 4320 mV = 90 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^270 ] R267.2 : Type {4,536}_536 Order 4288 mV = 268 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^134 * R * S^-1 * R * S^133 ] R267.3 : Type {4,536}_536 Order 4288 mV = 268 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^536 ] R267.4 : Type {4,1068}_534 Order 4272 mV = 1068 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^267 * R^2 * S^267 ] R267.5 : Type {6,136}_102 Order 3264 mV = 34 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^17 * R^2 * S^2 * R^-1 * S^-1 * R * S^14 ] R267.6 : Type {6,136}_204 Order 3264 mV = 34 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^17 * R * S^-1 * R^2 * S^-5 * R * S^11 ] R267.7 : Type {8,28}_8 Order 3136 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R^-2 * S^3 * R * S^-4 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-1 * R * S^-1 ] R267.8 : Type {8,28}_8 Order 3136 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S, (R * S^-3 * R^2)^2 ] R267.9 : Type {8,28}_8 Order 3136 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3, R * S^-3 * R^-1 * S * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R267.10 : Type {8,28}_8 Order 3136 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R^-2 * S^3 * R * S^-4 * R * S^-6 * R * S^3 * R^-2 * S^-3 * R * S^-1 ] R267.11 : Type {8,180}_90 Order 2880 mV = 60 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^45 * R^4 * S^45 ] R267.12 : Type {8,180}_180 Order 2880 mV = 60 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^45 * R * S^-2 * R * S^43 ] R267.13 : Type {8,180}_360 Order 2880 mV = 45 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^180 ] R267.14 : Type {8,180}_360 Order 2880 mV = 90 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^180 ] R267.15 : Type {8,712}_178 Order 2848 mV = 712 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^89 * R^2 * S^89 ] R267.16 : Type {8,712}_356 Order 2848 mV = 712 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^89 * R * S^-2 * R * S^87 ] R267.17 : Type {14,15}_30 Order 2940 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, R^14, S^-15 ] R267.18 : Type {14,91}_182 Order 2548 mV = 13 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^-91 ] R267.19 : Type {14,623}_178 Order 2492 mV = 623 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^-45 * R^2 * S^-44 ] R267.20 : Type {16,24}_6 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S * R^-1 * S * R^-1 * S, R^2 * S^-2 * R^3 * S^3 * R^-1 * S^-1 ] R267.21 : Type {16,24}_6 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^2 * S^-2 * R^3 * S^3 * R^-1 * S^-1, S * R * S^-5 * R * S^6 ] R267.22 : Type {16,24}_8 Order 2688 mV = 4 mF = 2 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, R * S^-3 * R^3 * S * R^-2 * S^-1 * R ] R267.23 : Type {16,24}_8 Order 2688 mV = 4 mF = 2 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, R * S^-3 * R^3 * S^2 * R^-1 * S^-2 ] R267.24 : Type {28,84}_42 Order 2352 mV = 12 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^23 * S^-1 * R * S^-1 * R^2, S^21 * R * S^-6 * R * S^15 ] R267.25 : Type {28,84}_42 Order 2352 mV = 42 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^-5 * R * S^6, R * S^-1 * R^-10 * S^-1 * R^2 * S^-4 * R, R^3 * S^-2 * R^3 * S^-1 * R^10 * S^-1 * R^5 * S^-1 * R * S^-1 ] R267.26 : Type {28,84}_42 Order 2352 mV = 42 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^21 * R^-3 * S^-3 * T * R^-2 * S^2 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^8 ] R267.27 : Type {56,140}_40 Order 2240 mV = 35 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^8 * R^-8 * S^12 ] R267.28 : Type {56,140}_40 Order 2240 mV = 70 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^2 * S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 * R^5 * S^-1 * R^2, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R267.29 : Type {69,276}_8 Order 2208 mV = 92 mF = 23 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^40 * R^-4 * S^2 * R^-2 * S * R^-1 * S * R^-14 ] R267.30 : Type {92,138}_6 Order 2208 mV = 46 mF = 23 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^5 * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R^9 * S^-2 * R * S^-1 * R * S^-5 * R^2 * S^-1 * R * S^-1 * R^3 * S^-3 ] R267.31 : Type {136,272}_16 Order 2176 mV = 136 mF = 68 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^7 * R^-1 * S^-3, S^-8 * R^38 * S^-1 * R * S^-1 * R^19 ] R267.32 : Type {136,272}_16 Order 2176 mV = 136 mF = 68 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^-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^-5 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-11 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-6 ] R267.33 : Type {270,270}_4 Order 2160 mV = 90 mF = 90 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^171 * R^-1 * S * R^-14 * S^2 * R^-77 * S * R^-1 ] R267.34 : Type {358,537}_6 Order 2148 mV = 537 mF = 179 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^155 * S^-1 * R * S^-1 * R^18 * S^-1 ] R267.35 : Type {535,1070}_2 Order 2140 mV = 1070 mF = 535 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^257 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-258 ] R267.36 : Type {536,536}_2 Order 2144 mV = 536 mF = 536 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^258 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-255 * R ] R267.37 : Type {536,536}_4 Order 2144 mV = 536 mF = 536 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^241 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^18 * S^-1 ] R267.38 : Type {1068,1068}_2 Order 2136 mV = 1068 mF = 1068 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^257 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-256 * S ] Genus 268 R268.1 : Type {4,538}_1076 Order 4304 mV = 269 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^538 ] R268.2 : Type {4,1072}_1072 Order 4288 mV = 1072 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^268 * R^2 * S^268 ] R268.3 : Type {6,92}_92 Order 3312 mV = 23 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^92 ] R268.4 : Type {6,270}_270 Order 3240 mV = 90 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^270 ] R268.5 : Type {6,270}_270 Order 3240 mV = 135 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^270 ] R268.6 : Type {6,804}_268 Order 3216 mV = 804 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^134 * R * S^-1 * R * S^133 ] R268.7 : Type {10,136}_680 Order 2720 mV = 68 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^136 ] R268.8 : Type {10,670}_134 Order 2680 mV = 670 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^67 * R * S^-1 * R * S^66 ] R268.9 : Type {12,216}_216 Order 2592 mV = 72 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^54 * R * S^-2 * R * S^52 ] R268.10 : Type {12,216}_216 Order 2592 mV = 108 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^54 * R^5 * S^-2 * T * S^2 * R^-1 * T * S^50 ] R268.11 : Type {18,603}_134 Order 2412 mV = 603 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^-1 * S * R^-15 * S, S^-34 * R * S^2 * R^-1 * S^-31 ] R268.12 : Type {42,189}_54 Order 2268 mV = 63 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^31 * S^-1 * R * S^-1 * R^8, S^-14 * R * S^3 * R^-1 * S^-10 ] R268.13 : Type {70,112}_80 Order 2240 mV = 56 mF = 35 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^11 * S^-1 * R * S^-1, S^-7 * R^-1 * S^7 * R^-1 * S^-2 ] R268.14 : Type {270,540}_4 Order 2160 mV = 540 mF = 135 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^244 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^19 ] R268.15 : Type {537,1074}_2 Order 2148 mV = 1074 mF = 537 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^514 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R ] R268.16 : Type {538,538}_2 Order 2152 mV = 538 mF = 538 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^515 * T * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^5 ] R268.17 : Type {1072,1072}_2 Order 2144 mV = 1072 mF = 1072 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^258 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-256 ] Genus 269 R269.1 : Type {4,138}_276 Order 4416 mV = 23 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^138 ] R269.2 : Type {4,272}_272 Order 4352 mV = 68 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^272 ] R269.3 : Type {4,272}_272 Order 4352 mV = 68 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^68 * R^2 * S * R^-1 * S^-1 * R * S^66 ] R269.4 : Type {4,540}_540 Order 4320 mV = 270 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^540 ] R269.5 : Type {4,1076}_538 Order 4304 mV = 1076 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^269 * R^2 * S^269 ] R269.6 : Type {6,70}_28 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S^6 * R * S^-1 * R^-2 * S^-7 ] R269.7 : Type {6,70}_56 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R * S^-2 * R^-1 * S * R^-2 * S^2 * R^-2 * S^2 ] R269.8 : Type {6,70}_70 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^3 * R * S^-2 * R^2 * S^-1 * R^-2 * S^-1 * R * S^7 ] R269.9 : Type {6,204}_68 Order 3264 mV = 68 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^34 * R^-2 * S * R^-1 * S^-6 * R^-1 * S^27 ] R269.10 : Type {6,204}_136 Order 3264 mV = 68 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^17 * R^2 * S^4 * R^-1 * S^-1 * R * S^12 ] R269.11 : Type {6,807}_538 Order 3228 mV = 807 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-135 * R * S * R^-1 * S^-133 ] R269.12 : Type {8,25}_50 Order 3200 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-25 ] R269.13 : Type {8,25}_100 Order 3200 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^-25 ] R269.14 : Type {8,92}_92 Order 2944 mV = 23 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^92 ] R269.15 : Type {8,92}_184 Order 2944 mV = 23 mF = 2 Defining relations for automorphism group: [ R^8, 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^92 ] R269.16 : Type {8,360}_180 Order 2880 mV = 180 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^90 * R * S^-1 * R * S^89 ] R269.17 : Type {8,360}_180 Order 2880 mV = 180 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^90 * R^4 * S^90 ] R269.18 : Type {12,56}_42 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^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^-1 * S * R * S^-2 * R * S * R^-1 * S^-5 * R * S^2 ] R269.19 : Type {12,56}_84 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^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^6 * R * S^-1 * R^2 * S^-1 * R * S^6 ] R269.20 : Type {12,56}_84 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^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^-1 * R^-1 * S^5 * R * S^-1 * R * S * R^-1 * S^-6 ] R269.21 : Type {12,56}_84 Order 2688 mV = 14 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^15 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^7 ] R269.22 : Type {12,56}_84 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^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^5 * R^-2 * S^2 * R^-2 * S^2 * R^-2 * S^5 ] R269.23 : Type {12,56}_84 Order 2688 mV = 14 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^14 * R^2 * S^2 * R^-1 * S^-3 * R * S^9 ] R269.24 : Type {12,56}_168 Order 2688 mV = 14 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^14 * R^5 * S^-4 * R * S^10 ] R269.25 : Type {12,56}_168 Order 2688 mV = 14 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^56 ] R269.26 : Type {18,153}_68 Order 2448 mV = 51 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-2 * T * R^14 * T * R^-2, S^-9 * R * S^2 * R^-2 * S * R^-1 * S^-5 ] R269.27 : Type {20,32}_160 Order 2560 mV = 8 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, R^20, S^32 ] R269.28 : Type {20,32}_160 Order 2560 mV = 8 mF = 5 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^-8 * R^2 * S^-1 * R * S^5 * R^-1 * S^-2, R^20 ] R269.29 : Type {32,288}_36 Order 2304 mV = 144 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 * R^-1 * S * R^-1 * S * R^-25 * S, S^18 * R * S^-1 * R * S^17 ] R269.30 : Type {32,288}_36 Order 2304 mV = 144 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, R^13 * S^-1 * R * S^-1, S^18 * R^4 * S^18 ] R269.31 : Type {32,288}_72 Order 2304 mV = 144 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 * R^-1 * S * R^-1 * S * R^-25 * S, S^18 * R^-1 * S^-10 * R * S^8 ] R269.32 : Type {32,288}_72 Order 2304 mV = 144 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, R^13 * S^-1 * R * S^-1, S^18 * R * S^-1 * R * S^17 ] R269.33 : Type {36,144}_16 Order 2304 mV = 36 mF = 9 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, S * R^-1 * S * R^-3 * S^3 * R^-1 * S^2 * R^-2 * S * R^-7 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S ] R269.34 : Type {36,144}_16 Order 2304 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-7 * R^-1 * S^7 * R^-1 * S^-2, R^-1 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 ] R269.35 : Type {36,144}_16 Order 2304 mV = 48 mF = 6 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^7 * R^-8 * S * R^-2 ] R269.36 : Type {36,144}_16 Order 2304 mV = 48 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, (R^-3 * S^2 * R^-4)^2 ] R269.37 : Type {56,280}_20 Order 2240 mV = 140 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^-1 * S * R^-13 * S * R^-1 * S * R^-37 * S ] R269.38 : Type {56,280}_20 Order 2240 mV = 140 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^2 * S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 * R^5 * S^-1 * R^2, S^-2 * R^-1 * S^8 * R^-3 * S^-10 ] R269.39 : Type {80,112}_70 Order 2240 mV = 56 mF = 40 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^6)^2, S^-4 * R^-1 * T * S^-2 * R^2 * S^-1 * R^-6 * S^-3 * T * S^3 * R * S^-1 ] R269.40 : Type {80,112}_140 Order 2240 mV = 56 mF = 40 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^6)^2, S * R^-2 * S^5 * R * S^-1 * R^-6 * S^-6 * R^-1 * S ] R269.41 : Type {92,276}_12 Order 2208 mV = 138 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^-5 * R * S^6, S * R^-1 * S^25 * R^-19 * S * R^-1 * S * R^-43 ] R269.42 : Type {138,138}_4 Order 2208 mV = 46 mF = 46 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^112 * R^-2 * S * R^-1 * S^2 * R^-15 * S * R^-1 ] R269.43 : Type {272,272}_4 Order 2176 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, R^246 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^19 ] R269.44 : Type {272,272}_4 Order 2176 mV = 136 mF = 136 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^104 * S^-3 * R * S^-1 * R^2 * S^-2 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^3 ] R269.45 : Type {272,272}_8 Order 2176 mV = 136 mF = 136 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^72 * S^-16 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-17 * R ] R269.46 : Type {539,1078}_2 Order 2156 mV = 1078 mF = 539 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^516 * T * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^5 ] R269.47 : Type {540,540}_2 Order 2160 mV = 540 mF = 540 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^256 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-260 * R ] R269.48 : Type {1076,1076}_2 Order 2152 mV = 1076 mF = 1076 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^515 * T * S^2 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * S^-1 ] Genus 270 R270.1 : Type {4,273}_546 Order 4368 mV = 91 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-273 ] R270.2 : Type {4,542}_1084 Order 4336 mV = 271 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^542 ] R270.3 : Type {4,1080}_1080 Order 4320 mV = 1080 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^270 * R^2 * S^270 ] R270.4 : Type {6,272}_816 Order 3264 mV = 136 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^272 ] R270.5 : Type {8,182}_728 Order 2912 mV = 91 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^182 ] R270.6 : Type {12,110}_660 Order 2640 mV = 55 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^110 ] R270.7 : Type {14,92}_644 Order 2576 mV = 46 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^92 ] R270.8 : Type {14,630}_90 Order 2520 mV = 630 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^45 * R * S^-2 * R * S^43 ] R270.9 : Type {16,156}_624 Order 2496 mV = 78 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^39 * R^-7 * S^-7 * R * S^32 ] R270.10 : Type {20,62}_620 Order 2480 mV = 31 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^62 ] R270.11 : Type {22,56}_616 Order 2464 mV = 28 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^56 ] R270.12 : Type {22,594}_54 Order 2376 mV = 594 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^-1 * S * R^-1 * S * R^-18, S^27 * R * S^-4 * R * S^23 ] R270.13 : Type {24,100}_600 Order 2400 mV = 50 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^25 * R^-4 * S^2 * T * R * S^3 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^14 ] R270.14 : Type {26,585}_90 Order 2340 mV = 585 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^-23 * R * S^3 * R^-1 * S^-19 ] R270.15 : Type {32,38}_608 Order 2432 mV = 19 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^38 ] R270.16 : Type {38,570}_30 Order 2280 mV = 570 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^29 * S^-1 * R * S^-1 * R^6, S^-2 * R^-1 * S^14 * R^-1 * S^-14 ] R270.17 : Type {57,95}_10 Order 2280 mV = 19 mF = 19 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^-4 * R * S^5, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2, R^-1 * S * R^-10 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R270.18 : Type {62,558}_18 Order 2232 mV = 558 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^41 * S^-1 * R * S^-1 * R^18 ] R270.19 : Type {74,555}_30 Order 2220 mV = 555 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^6 * R^-2 * S * R^-20 * S^8 ] R270.20 : Type {80,140}_112 Order 2240 mV = 70 mF = 40 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^-9 * S^-1 * R^6, S^2 * T * R^5 * S^-1 * R^5 * S^-2 * T * R^-1 * S^3 * R^-1, S^-2 * R^-1 * S^3 * R^5 * S^-1 * R^-2 * S^-8 ] R270.21 : Type {92,552}_24 Order 2208 mV = 552 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^-2 * R^-1 * S^11 * R^-1 * S^-11, S^-7 * R^25 * S^-1 * R * S^-1 * R^6 * S^-5 ] R270.22 : Type {122,549}_18 Order 2196 mV = 549 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^7 * R^-9 * S * R^-1 * S * R^-40 * S^2 ] R270.23 : Type {138,184}_12 Order 2208 mV = 46 mF = 46 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 * R^-4 * S * R^-1 * S * R^-13 * S * R^-1 ] R270.24 : Type {138,184}_24 Order 2208 mV = 92 mF = 69 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^7 * S * R^-5, R^3 * S^-4 * R^2 * S^-3 * R^2 * S^-2 * R^3 * S^-1 * R^8 * S^-1 * R^5 * S^-5 * R^2 * S^-4 * R ] R270.25 : Type {182,546}_6 Order 2184 mV = 546 mF = 91 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^160 * S^-1 * R * S^-1 * R^19 ] R270.26 : Type {218,545}_10 Order 2180 mV = 545 mF = 109 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^83 * S^-1 * R * S^-1 * R^18 * S^-1 ] R270.27 : Type {273,273}_4 Order 2184 mV = 91 mF = 91 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^79 * S^-2 * R^14 * S^-1 * R * S^-173 * R ] R270.28 : Type {362,543}_6 Order 2172 mV = 543 mF = 181 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^157 * S^-1 * R * S^-1 * R^18 * S^-1 ] R270.29 : Type {541,1082}_2 Order 2164 mV = 1082 mF = 541 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^264 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-256 * S ] R270.30 : Type {542,542}_2 Order 2168 mV = 542 mF = 542 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^258 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-265 ] R270.31 : Type {1080,1080}_2 Order 2160 mV = 1080 mF = 1080 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^256 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-261 ] Genus 271 R271.1 : Type {3,30}_18 Order 8100 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S^30 ] R271.2 : Type {3,36}_24 Order 7776 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-3 * R * S^-4 * R * S^-2 * R * S, S^-2 * 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^-1, S^-1 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 * R^-1 * S^-3 ] R271.3 : Type {3,36}_24 Order 7776 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, S^-1 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2, S * R * S^-4 * R^-1 * S^6 * R^-1 * S^-4 * R * S^7 ] R271.4 : Type {3,36}_72 Order 7776 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-2 * R * S^-1, 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 * S^-2 * R * S^-2 * R * S^-3 * R * S^-1 ] R271.5 : Type {3,60}_24 Order 7200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, S^-1 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2, S^-4 * R^-1 * S^4 * R * S^-2 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 * R^-1 * S^-1 ] R271.6 : Type {4,7}_10 Order 10080 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, 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 ] R271.7 : Type {4,7}_12 Order 10080 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 ] R271.8 : Type {4,7}_14 Order 10080 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-1 * S * R^-1 * S^2)^3, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-2 ] R271.9 : Type {4,8}_24 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S * R^-1 * S^-1 * R * S ] R271.10 : Type {4,8}_30 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^4 * R^-1 * S^2 * R^-1 ] R271.11 : Type {4,16}_12 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S^3 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^3 ] R271.12 : Type {4,16}_12 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^3, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-2 ] R271.13 : Type {4,22}_10 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-2)^2 ] R271.14 : Type {4,24}_24 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, (R * S^-1)^6 ] R271.15 : Type {4,24}_24 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^24 ] R271.16 : Type {4,24}_24 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, S^2 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S ] R271.17 : Type {4,24}_24 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2 * R * S^-2 * R * S^-1)^2, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R271.18 : Type {4,24}_24 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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 ] R271.19 : Type {4,24}_24 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^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 * R * S^-5 * R * S^6 ] R271.20 : Type {4,64}_192 Order 4608 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^64 ] R271.21 : Type {4,64}_192 Order 4608 mV = 16 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-14 * R^-1 * S^2 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-5 ] R271.22 : Type {4,124}_186 Order 4464 mV = 31 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^31 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^26 ] R271.23 : Type {4,544}_544 Order 4352 mV = 272 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^136 * R * S^-1 * R * S^135 ] R271.24 : Type {4,544}_544 Order 4352 mV = 272 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^544 ] R271.25 : Type {4,1084}_542 Order 4336 mV = 1084 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^271 * R^2 * S^271 ] R271.26 : Type {6,8}_6 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1, S * R^-2 * S * R^-1 * S * R * S^-2 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 ] R271.27 : Type {6,8}_12 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-1 * R)^6 ] R271.28 : Type {6,8}_18 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, R * S^-1 * R^-1 * S * R^-2 * S * R^-2 * S * R^4 * S * R^-2 * S * R^-1 * S^-1 * R * S^-1 ] R271.29 : Type {6,8}_36 Order 5184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^6 ] R271.30 : Type {6,12}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R271.31 : Type {6,12}_30 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-1)^6, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R ] R271.32 : Type {6,12}_30 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, (R * S^-2 * R^2 * S^-1 * R)^2 ] R271.33 : Type {6,33}_198 Order 3564 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S, S^-33 ] R271.34 : Type {6,93}_186 Order 3348 mV = 31 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-93 ] R271.35 : Type {6,273}_546 Order 3276 mV = 91 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-273 ] R271.36 : Type {6,813}_542 Order 3252 mV = 813 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-136 * R^2 * S^-135 ] R271.37 : Type {7,7}_4 Order 5040 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, 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)^6 ] R271.38 : Type {7,7}_6 Order 5040 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R * S^3 * R^3 * S^2 * R^-1 * S^-1 * R ] R271.39 : Type {7,7}_12 Order 5040 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, S^-1 * R * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 * R * S^-2 ] R271.40 : Type {8,8}_8 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^3 * S^-1)^3, (S^-2 * R * S^-1)^3, S^2 * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2 * S ] R271.41 : Type {8,8}_10 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-2 ] R271.42 : Type {9,54}_6 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S^-9 * R^3 * S^-9 ] R271.43 : Type {9,54}_6 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S^-10 * R * S * R^-2 * S^-7 ] R271.44 : Type {12,24}_10 Order 2880 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, 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 ] R271.45 : Type {12,24}_20 Order 2880 mV = 4 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 * R * S^-5 * R * S^6 ] R271.46 : Type {12,24}_20 Order 2880 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^12, 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 ] R271.47 : Type {12,24}_20 Order 2880 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R271.48 : Type {12,24}_30 Order 2880 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^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-2 * R^-1 * S * R^4 * S * R^-1 * S^-2 * R^2 ] R271.49 : Type {12,24}_60 Order 2880 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^12, (R * S^-1 * R^4)^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 ] R271.50 : Type {15,30}_30 Order 2700 mV = 5 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-15 ] R271.51 : Type {16,28}_6 Order 2688 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^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R ] R271.52 : Type {16,28}_8 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, (R * S^-3 * R^2)^2, S * R^2 * S^-1 * R^4 * S^-1 * R^2 * S * R^-2 ] R271.53 : Type {16,28}_8 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, (R * S^-3 * R^2)^2, (S^-1 * R^2 * S^-1)^3 ] R271.54 : Type {16,28}_12 Order 2688 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^2 * R^2 * S^2 * R^-1 * S^-1, R * S^-1 * R^5 * S^-1 * R * S * R^-1 * S, (R * S^-1)^6, (R * S^-3 * R * S^-2)^2 ] R271.55 : Type {18,36}_6 Order 2592 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-5 * S * R^-1 * S * R^-1 * S^2 ] R271.56 : Type {18,36}_6 Order 2592 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, R^-1 * S * R^-1 * S * R^-11 * S^2 * R^-1, S^4 * R^-6 * S^8 ] R271.57 : Type {18,36}_6 Order 2592 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^4 * R^2 * S^-1 * R^2 * S^7 ] R271.58 : Type {18,36}_8 Order 2592 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^4 * S^-1 * R * S^-3, S * R * S^-2 * R^3 * S^3 * R^-2, R^-7 * S * R^-1 * S^-1 * R * S^2 ] R271.59 : Type {18,36}_18 Order 2592 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^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, S^2 * R^-1 * S * R^-6 * S * R^-4 * S^2 * R^-1, R^18 ] R271.60 : Type {18,36}_18 Order 2592 mV = 9 mF = 3 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^18, S^-9 * R^2 * S^-1 * R^2 * S^-8 ] R271.61 : Type {18,36}_24 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-2 * R * S^-1 * R)^2, S^-2 * R^-5 * S^-2 * R^4 ] R271.62 : Type {18,36}_24 Order 2592 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^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R, 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 ] R271.63 : Type {18,36}_24 Order 2592 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, R^-1 * S * R^-1 * S * R^-4 * S * R^-1 * S * R^-1 * S * R^-1 * S, 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 ] R271.64 : Type {18,36}_72 Order 2592 mV = 6 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S * R * S^-2 * R^6 * S^-2 * R * S ] R271.65 : Type {22,22}_12 Order 2640 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^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, (S^-1 * R^2 * S^-1)^3 ] R271.66 : Type {24,24}_6 Order 2592 mV = 4 mF = 4 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^5, R^2 * S^-2 * R^2 * S^-1 * R^3 * S^-1 * R^6 * S^-1 * R * S^-5 ] R271.67 : Type {24,24}_6 Order 2592 mV = 4 mF = 4 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^6 * S^5, S * R * S^-2 * R^3 * S^3 * R^-2, R * S^-2 * R * S^-1 * R * S^-1 * R^9 * S^-1 * R^2 * S^-1 * R^4 ] R271.68 : Type {24,24}_6 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^2 * S^-2 * R^3 * S * R^-2 * S^-2 * R ] R271.69 : Type {24,24}_6 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-3 * S^3 * T * S^-1 * R * S^-1 * R^7 * S^-1 * R^2 * T * S^4 * R^-1 ] R271.70 : Type {24,24}_6 Order 2592 mV = 6 mF = 6 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^-2 * R * S^-2 * R * S^-2 * R * S^-3 * R^4 * S^-3 * R * S^-4 ] R271.71 : Type {24,24}_6 Order 2592 mV = 6 mF = 6 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 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R271.72 : Type {24,24}_6 Order 2592 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)^2, S * R * S^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R271.73 : Type {24,24}_12 Order 2592 mV = 4 mF = 4 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^-5 ] R271.74 : Type {24,24}_12 Order 2592 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (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^6 * S^-5, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R ] R271.75 : Type {24,24}_12 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 * R * S ] R271.76 : Type {24,24}_12 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, (S^-1 * R^2 * S^-1)^3 ] R271.77 : Type {24,24}_12 Order 2592 mV = 6 mF = 6 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^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R271.78 : Type {24,24}_12 Order 2592 mV = 6 mF = 6 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^-1)^3 ] R271.79 : Type {24,24}_12 Order 2592 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)^2, S * R * S^-3 * R * S^4, (S^-1 * R^2 * S^-1)^3 ] R271.80 : Type {24,24}_18 Order 2592 mV = 4 mF = 4 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^6 * S^5, R * S^-2 * R^4 * S^-2 * R * S^2 ] R271.81 : Type {24,24}_18 Order 2592 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^3 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R * S^-1 * R * S * R^-1, S^5 * R^-1 * S * R^-14 * S * R^-1 * S ] R271.82 : Type {24,24}_36 Order 2592 mV = 4 mF = 4 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^-1 * R^6 * S^-5, S^3 * R^4 * S^3 * R^-2 ] R271.83 : Type {24,24}_36 Order 2592 mV = 4 mF = 8 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^8 * S^-1 * R^2 * S^-1, S^-3 * R^-1 * S^2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R ] R271.84 : Type {30,60}_40 Order 2400 mV = 10 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R^-7 * S * R^-3 * S * R^-1 * S ] R271.85 : Type {30,195}_78 Order 2340 mV = 65 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^25 * S^-1 * R * S^-1 * R^2, S^-20 * R * S^12 * R^-1 * S^-7 ] R271.86 : Type {36,288}_32 Order 2304 mV = 144 mF = 9 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^3 * R^2 * S^5 * R^-1 * S^-3, R^-1 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 ] R271.87 : Type {36,288}_32 Order 2304 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, R^-1 * S * R^-3 * S * R^-1 * S * R^-27 * S, S^-2 * R^-1 * S^15 * R^-1 * S^-15 ] R271.88 : Type {54,189}_42 Order 2268 mV = 63 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^9 * R^-6 * S^12 ] R271.89 : Type {63,126}_6 Order 2268 mV = 21 mF = 21 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 * R^-2 * S^26 * R^-2 * S^8 * R^-2 * S * R^-15 * S * R^-2 * S * R^-2 ] R271.90 : Type {63,126}_6 Order 2268 mV = 21 mF = 21 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^-5 * R * S^6, S^-2 * R^15 * S^-4 ] R271.91 : Type {63,126}_18 Order 2268 mV = 63 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, R^-1 * S * R^10 * S * R^-7, R^6 * S^-11 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-17 * R ] R271.92 : Type {64,64}_6 Order 2304 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-2 * S * R^-28 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-6 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R271.93 : Type {64,64}_12 Order 2304 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^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-2 * R^9 * S^-1 * R * S^-3 * R * S^-1 * R * S^-2 * R^2 * S^-1 ] R271.94 : Type {124,124}_6 Order 2232 mV = 31 mF = 31 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 * R^-1 * S * R^-26 * S^3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-7 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R271.95 : Type {138,276}_8 Order 2208 mV = 92 mF = 46 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^42 * R^-4 * S^2 * R^-2 * S * R^-1 * S * R^-14 ] R271.96 : Type {183,366}_6 Order 2196 mV = 183 mF = 61 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^120 * S^-16 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-17 * R ] R271.97 : Type {543,1086}_2 Order 2172 mV = 1086 mF = 543 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^264 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-258 * S ] R271.98 : Type {544,544}_2 Order 2176 mV = 544 mF = 544 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^260 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-261 * R ] R271.99 : Type {544,544}_4 Order 2176 mV = 544 mF = 544 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^245 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^18 * S^-1 ] R271.100 : Type {1084,1084}_2 Order 2168 mV = 1084 mF = 1084 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^258 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-264 * R ] Genus 272 R272.1 : Type {4,546}_1092 Order 4368 mV = 273 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^546 ] R272.2 : Type {4,1088}_1088 Order 4352 mV = 1088 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^272 * R^2 * S^272 ] R272.3 : Type {6,274}_822 Order 3288 mV = 137 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^274 ] R272.4 : Type {6,816}_272 Order 3264 mV = 816 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^136 * R^2 * S^136 ] R272.5 : Type {8,93}_372 Order 2976 mV = 31 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-93 ] R272.6 : Type {8,364}_728 Order 2912 mV = 182 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^91 * R^4 * S^91 ] R272.7 : Type {10,138}_690 Order 2760 mV = 69 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^138 ] R272.8 : Type {10,680}_136 Order 2720 mV = 680 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^68 * R * S^-2 * R * S^66 ] R272.9 : Type {18,70}_630 Order 2520 mV = 35 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^70 ] R272.10 : Type {18,612}_68 Order 2448 mV = 612 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^-1 * S^3 * R^-11 * S^3, S^34 * R * S^-6 * R * S^28 ] R272.11 : Type {24,150}_200 Order 2400 mV = 75 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^25 * R * S^-3 * R * S^22 ] R272.12 : Type {34,36}_612 Order 2448 mV = 18 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^34, S^36 ] R272.13 : Type {36,576}_64 Order 2304 mV = 576 mF = 18 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^-3 * S * R^-1 * S * R^-27 * S, S^16 * R * S^-6 * R * S^10 ] R272.14 : Type {44,286}_52 Order 2288 mV = 143 mF = 22 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^-7 * S * R^-1 * S * R^-31 * S, S^13 * R * S^-1 * R * S^12 ] R272.15 : Type {66,561}_34 Order 2244 mV = 561 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^-7 * R^16 * S^-10 ] R272.16 : Type {70,560}_16 Order 2240 mV = 560 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^-6 * R^-1 * S^7 * R^-1 * S^-3, R^-2 * S * R^-1 * S * R^-19 * S * R^-1 * S * R^-43 ] R272.17 : Type {112,140}_80 Order 2240 mV = 70 mF = 56 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 * R^2 * S^8 ] R272.18 : Type {138,552}_8 Order 2208 mV = 552 mF = 69 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^72 * R^-19 * S * R^-1 * S * R^-43 ] R272.19 : Type {184,276}_24 Order 2208 mV = 138 mF = 92 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^-5 * R * S^6, S^5 * R^-1 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S^2 * R^-3 * S * R^-5 * S ] R272.20 : Type {274,548}_4 Order 2192 mV = 548 mF = 137 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^248 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^19 ] R272.21 : Type {545,1090}_2 Order 2180 mV = 1090 mF = 545 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^522 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R ] R272.22 : Type {546,546}_2 Order 2184 mV = 546 mF = 546 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^260 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-266 ] R272.23 : Type {1088,1088}_2 Order 2176 mV = 1088 mF = 1088 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^260 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R * S^-262 ] Genus 273 R273.1 : Type {3,18}_8 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^18, S * R * S^-2 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * R^-1 * S^-2 * R * S^2 ] R273.2 : Type {3,18}_16 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] R273.3 : Type {3,18}_16 Order 9792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^7 * R^2 * S^7 * R^-1 * S^-1, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2 ] R273.4 : Type {3,18}_18 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3, S^18, (S^2 * R^-1 * S^2)^4 ] R273.5 : Type {3,18}_18 Order 9792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^4, S^-1 * R^-1 * S^7 * R^2 * S^7 * R^-1 * S^-1 ] R273.6 : Type {3,18}_34 Order 9792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^7 * R^2 * S^7 * R^-1 * S^-1, S^-3 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S ] R273.7 : Type {4,21}_42 Order 5376 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-6)^2, S^-21 ] R273.8 : Type {4,72}_18 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^8 ] R273.9 : Type {4,72}_18 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-4 * R^-1 * S * R * S^-2 * R * S^5 * R^-1 * S^-2 * R * S^2 ] R273.10 : Type {4,72}_36 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-3, S^18 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^14 ] R273.11 : Type {4,72}_36 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^18 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^14 ] R273.12 : Type {4,72}_36 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^4 * R * S^-1 * R^-1 * S^2 * R^2 * S^7 * R^-1 * S^-2 ] R273.13 : Type {4,72}_36 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^3 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S * R * S^-2 * R * S^7 * R^-1 * S^-2 ] R273.14 : Type {4,72}_72 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^72 ] R273.15 : Type {4,72}_72 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^72 ] R273.16 : Type {4,72}_72 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^18 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-4 * R * S^11 ] R273.17 : Type {4,72}_72 Order 4608 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^18 * R^2 * S^2 * R^-1 * S^-1 * R * S^15 ] R273.18 : Type {4,72}_72 Order 4608 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^72 ] R273.19 : Type {4,72}_72 Order 4608 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^72 ] R273.20 : Type {4,72}_72 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^18 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^13 ] R273.21 : Type {4,72}_72 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^18 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^13 ] R273.22 : Type {4,72}_72 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^72 ] R273.23 : Type {4,72}_72 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, (R * S^-2)^4, S^18 * R * S^-1 * R * S^4 * R^-1 * S^-2 * R * S^11 ] R273.24 : Type {4,72}_72 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^72 ] R273.25 : Type {4,72}_72 Order 4608 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^18 * R * S^-5 * R * S^13 ] R273.26 : Type {4,72}_72 Order 4608 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^72 ] R273.27 : Type {4,72}_144 Order 4608 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^18 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^12 ] R273.28 : Type {4,140}_280 Order 4480 mV = 35 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^140 ] R273.29 : Type {4,276}_138 Order 4416 mV = 92 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^69 * R * S^-2 * R * S^67 ] R273.30 : Type {4,276}_276 Order 4416 mV = 69 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^276 ] R273.31 : Type {4,276}_276 Order 4416 mV = 92 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^276 ] R273.32 : Type {4,548}_548 Order 4384 mV = 274 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^548 ] R273.33 : Type {4,1092}_546 Order 4368 mV = 1092 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^273 * R^2 * S^273 ] R273.34 : Type {6,20}_30 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^6 ] R273.35 : Type {6,20}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R, S^-2 * R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R^2 * S^-4 ] R273.36 : Type {6,20}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^20 ] R273.37 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-5 * R^4 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R273.38 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-5 * R^4 * S^-2, (R * S^-2)^4 ] R273.39 : Type {8,14}_28 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-5 * R^4 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1 ] R273.40 : Type {8,14}_28 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-5 * R^4 * S^-2, (R * S^-2)^4 ] R273.41 : Type {8,48}_12 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-5 * R^-2 * S^-5 * R * S^2, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R273.42 : Type {8,48}_12 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R273.43 : Type {8,48}_12 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-5 * R^-2 * S^-5 * R * S^2, (R * S^-1)^8 ] R273.44 : Type {8,48}_12 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * R^-1, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R273.45 : Type {8,48}_12 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, 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^-3 * R^2 * S^4 * R^-1, R * S^-3 * R^-3 * S^-1 * R * S * R^-3 * S^-1, S^4 * R * S^-1 * R^-2 * S^-5 * R * S^2 ] R273.46 : Type {8,48}_24 Order 3072 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R^-1 * S^5 * R^-2 * S^6, S^-5 * R * S^-1 * R^-2 * S^6 * R^-1 * S^-2 ] R273.47 : Type {8,48}_24 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-3 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * S^-1, S * R * S^-2 * R^2 * S^-2 * R * S^7 ] R273.48 : Type {8,48}_24 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^-2 * R * S^7 ] R273.49 : Type {8,48}_24 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^12 * R^4 * S^12 ] R273.50 : Type {8,48}_24 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^12 * R^4 * S^12 ] R273.51 : Type {8,48}_24 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R^-1 * S^5 * R^-2 * S^6, (R * S^-1)^8 ] R273.52 : Type {8,48}_24 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^7 ] R273.53 : Type {8,48}_24 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, S * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * R^-1, S^4 * R * S^-1 * R^-2 * S^-1 * R * S^6 ] R273.54 : Type {8,48}_24 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, 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^-3 * R^2 * S^4 * R^-1, R * S^-3 * R^-3 * S^-1 * R * S * R^-3 * S^-1, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R273.55 : Type {8,48}_24 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^-1 * R, S^12 * R * S^-3 * R * S^9 ] R273.56 : Type {8,48}_24 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2, S^12 * R^4 * S^12 ] R273.57 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^15 * R^-1 * S^-2 * R * S * R^-1 * S^-2 * R * S^4 ] R273.58 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 * R^2 * S^5 * R^-1 * S^-1 * R * S^6 ] R273.59 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 * R^4 * S^12 ] R273.60 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 * R^2 * S^5 * R^-1 * S^-1 * R * S^6 ] R273.61 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 * R^2 * S^5 * R^-1 * S^-1 * R * S^6 ] R273.62 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 * R^-1 * S^-1 * R^2 * S^-6 * R * S^5 ] R273.63 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 * R^2 * S^3 * R^-2 * S^9 ] R273.64 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R^4 * S^12 ] R273.65 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R273.66 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-1 * R * S^4 * R^-1 * S^-2 * R * S^5 ] R273.67 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^48 ] R273.68 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S^12 * R^2 * S^3 * R^-2 * S^9 ] R273.69 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^48 ] R273.70 : Type {8,48}_48 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R273.71 : Type {8,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^48 ] R273.72 : Type {8,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^48 ] R273.73 : Type {8,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R^2 * S^2 * R^-1 * S^-3 * R * S^7 ] R273.74 : Type {8,48}_48 Order 3072 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R^2 * S^2 * R^-2 * S^10 ] R273.75 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^48 ] R273.76 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^48 ] R273.77 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R^3 * S^-4 * R * S^8 ] R273.78 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^12 * R^4 * S^12 ] R273.79 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^12 * R^3 * S^-4 * R * S^8 ] R273.80 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R * S^-8 * R^3 * S^4 ] R273.81 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^12 * R^4 * S^12 ] R273.82 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^12 * R^3 * S^-8 * R * S^4 ] R273.83 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R * S^-8 * R^3 * S^4 ] R273.84 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2, S^-10 * R^-1 * S^2 * R * S^-5 * R * S^2 * R^-1 * S^-5 ] R273.85 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^12 * R^3 * S^-4 * R * S^8 ] R273.86 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2, S^-10 * R^-1 * S^2 * R * S^-1 * R * S^6 * R^-1 * S^-5 ] R273.87 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R^3 * S^-4 * R * S^8 ] R273.88 : Type {8,48}_48 Order 3072 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^12 * R^4 * S^12 ] R273.89 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12 * R^2 * S * R^-3 * S^-1 * R * S^10 ] R273.90 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^48 ] R273.91 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R273.92 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R273.93 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-5 * R * S^6 ] R273.94 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, 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^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-7 ] R273.95 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R273.96 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^-2 * R^2 * S^-3 * R^2 * S^-7 ] R273.97 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^12 * R^3 * S^-6 * R * S^6 ] R273.98 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^12 * R^3 * S^-6 * R * S^6 ] R273.99 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-3 * R^2 * S, S^12 * R^3 * S^-6 * R * S^6 ] R273.100 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^12 * R^3 * S^-6 * R * S^6 ] R273.101 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 * R^2 * S^3 * R^-2 * S^9 ] R273.102 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^48 ] R273.103 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 * R^3 * S^-7 * R^-1 * S^5 ] R273.104 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R273.105 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^48 ] R273.106 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-5 * R * S^7 ] R273.107 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 * R * S^-5 * R * S^7 ] R273.108 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^12 * R * S^-5 * R * S^7 ] R273.109 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S^12 * R * S^-5 * R * S^7 ] R273.110 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 * R * S^-5 * R * S^7 ] R273.111 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R * S^-3 * R * S^9 ] R273.112 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^12 * R * S^-3 * R * S^9 ] R273.113 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^7 ] R273.114 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R^3 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^7 ] R273.115 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^48 ] R273.116 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^48 ] R273.117 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R^2 * S * R^-2 * S * R^-1 * S^-2 * R * S^8 ] R273.118 : Type {8,48}_48 Order 3072 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, 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^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R^2 * S * R^-1 * S^-5 * R * S^6 ] R273.119 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, 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^48 ] R273.120 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^4 * R^-1, S^12 * R * S^-3 * R * S^9 ] R273.121 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R * S^-3 * R * S^9 ] R273.122 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^-10 * R^-1 * S^2 * R * S^-1 * R * S^6 * R^-1 * S^-5 ] R273.123 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^48 ] R273.124 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^12 * R^4 * S^12 ] R273.125 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^-10 * R^-1 * S^2 * R^-3 * S^-5 * R * S^2 * R^-1 * S^-5 ] R273.126 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2, S^12 * R * S^-3 * R * S^9 ] R273.127 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R * S^-3 * R * S^9 ] R273.128 : Type {8,48}_48 Order 3072 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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, S^12 * R * S^-3 * R * S^9 ] R273.129 : Type {8,48}_48 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^12 * R^2 * S * R^-1 * S^-4 * R * S * R^-1 * S^-2 * R^-1 * S^4 ] R273.130 : Type {8,48}_48 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^48 ] R273.131 : Type {8,48}_48 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 * R * S^-2 * R * S^10 ] R273.132 : Type {8,48}_48 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ R^8, 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^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12 * R * S^-2 * R * S^10 ] R273.133 : Type {8,184}_92 Order 2944 mV = 46 mF = 2 Defining relations for automorphism group: [ R^8, 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^46 * R^2 * S * R^-1 * S^-5 * R * S^40 ] R273.134 : Type {8,184}_184 Order 2944 mV = 46 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^46 * R^2 * S^2 * R^-1 * S^-3 * R * S^41 ] R273.135 : Type {8,184}_184 Order 2944 mV = 46 mF = 2 Defining relations for automorphism group: [ R^8, 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^46 * R^2 * S * R^-1 * S^-3 * R * S^42 ] R273.136 : Type {8,184}_184 Order 2944 mV = 46 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^184 ] R273.137 : Type {8,184}_184 Order 2944 mV = 92 mF = 2 Defining relations for automorphism group: [ R^8, 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^46 * R * S^-1 * R * S^45 ] R273.138 : Type {8,184}_184 Order 2944 mV = 92 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^184 ] R273.139 : Type {8,728}_182 Order 2912 mV = 728 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^91 * R * S^-2 * R * S^89 ] R273.140 : Type {8,728}_364 Order 2912 mV = 728 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^91 * R^2 * S^91 ] R273.141 : Type {10,45}_36 Order 2880 mV = 9 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R273.142 : Type {12,16}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-2 * R * S^-1)^2, R^12 ] R273.143 : Type {12,16}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R^12, S * R^-1 * S * R^4 * S * R^-1 * S^3 ] R273.144 : Type {12,16}_6 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, (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, R^-2 * S * R * S^-1 * R^3 * S^-6 ] R273.145 : Type {12,16}_6 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-2 * R^5 * S * R^-1 * S * R^-1 * S^-2, R^-2 * S * R * S^-1 * R^3 * S^-6 ] R273.146 : Type {12,16}_6 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, 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^16 ] R273.147 : Type {12,16}_6 Order 3072 mV = 1 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R * S^-2 * R^4 * S^-2 * R * S^2, S^16 ] R273.148 : Type {12,16}_6 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S^3 ] R273.149 : Type {12,16}_6 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S * R^4 * S * R^-1 * S^3 ] R273.150 : Type {12,16}_6 Order 3072 mV = 1 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, R^12, S^16 ] R273.151 : Type {12,16}_6 Order 3072 mV = 1 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, R * S^-2 * R^4 * S^-2 * R * S^-2, S^16 ] R273.152 : Type {12,16}_6 Order 3072 mV = 2 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, R^12, R * S^-2 * R^4 * S^-2 * R * S^-2, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^4 * R^-1 * S^-1 ] R273.153 : Type {12,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R^-1 * S * R^4 * S * R^-1 * S^3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 ] R273.154 : Type {12,16}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (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, R * S^-2 * R^5 * S * R^-1 * S * R^-1 * S^-2, R^-2 * S * R * S^-1 * R^3 * S^-6 ] R273.155 : Type {12,16}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-2 * R * S^-1 * R^4 * S^2 * R^-2 * S^-1 * R, R^-2 * S * R * S^-1 * R^3 * S^-6 ] R273.156 : Type {12,16}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^16 ] R273.157 : Type {12,16}_12 Order 3072 mV = 1 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^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^12, S^16 ] R273.158 : Type {12,16}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, R^12, (R * S^-1 * R^4)^2, (S^-1 * R^2 * S^-1)^3 ] R273.159 : Type {12,16}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2 ] R273.160 : Type {12,16}_12 Order 3072 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)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, S^16 ] R273.161 : Type {12,16}_12 Order 3072 mV = 1 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, R^12, S^16 ] R273.162 : Type {12,16}_12 Order 3072 mV = 1 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^16 ] R273.163 : Type {12,16}_12 Order 3072 mV = 2 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, R^12, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^4 * R^-1 * S^-1 ] R273.164 : Type {12,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 ] R273.165 : Type {12,16}_12 Order 3072 mV = 2 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^6 * S^-6, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R273.166 : Type {12,16}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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, S^-2 * R^6 * S^-6 ] R273.167 : Type {12,16}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, R^3 * S^-2 * R^3 * S^-6 ] R273.168 : Type {12,16}_24 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-2 * R^-5 * S^-2 * R * S^-2 * R, R^3 * S^-2 * R^3 * S^-6 ] R273.169 : Type {12,16}_24 Order 3072 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)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^-3 * R * S, S^16, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R * S^2 ] R273.170 : Type {12,16}_24 Order 3072 mV = 1 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^16 ] R273.171 : Type {12,16}_24 Order 3072 mV = 1 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^16 ] R273.172 : Type {12,16}_24 Order 3072 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^2 * R^2 * S^-1 * R^2 * S^5, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R273.173 : Type {12,16}_24 Order 3072 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^-4 * R^4 * S * R^-2 * S^-3, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R273.174 : Type {12,16}_24 Order 3072 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^-2 * R^6 * S^-6, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R273.175 : Type {12,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-2 * R^-5 * S^-2 * R * S^-2 * R, S^-2 * R * S^-3 * R^-1 * S^4 * R^-1 * S^-1 ] R273.176 : Type {12,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-2 * R^6 * S^-6 ] R273.177 : Type {12,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-2 * R^6 * S^-6 ] R273.178 : Type {12,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^3 ] R273.179 : Type {12,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (S^-1 * R^2 * S^-1)^3 ] R273.180 : Type {12,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, R^12, (R * S^-1 * R^4)^2 ] R273.181 : Type {12,16}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, R * S^-2 * R^4 * S^-2 * R * S^2, (R * S^-1 * R)^4 ] R273.182 : Type {12,16}_24 Order 3072 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^-3 * R * S, (R * S^-1)^8 ] R273.183 : Type {12,16}_24 Order 3072 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^12, S * R * S^-3 * R^2 * S^-3 * R * S, S^-1 * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R273.184 : Type {12,16}_24 Order 3072 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 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, (R * S^-3)^4 ] R273.185 : Type {12,16}_24 Order 3072 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 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, (R * S^-3)^4 ] R273.186 : Type {12,16}_24 Order 3072 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^-3)^2, R^12, R^-2 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^2 ] R273.187 : Type {12,16}_24 Order 3072 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 * R * S^-3 * R * S^4, R^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R ] R273.188 : Type {12,16}_48 Order 3072 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 * S^-1 * R * S^2 * R^-1 * S, 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^6 * S^-6 ] R273.189 : Type {12,16}_48 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^3 * S * R^-1 * S^2 * R^-1, S^-2 * R^6 * S^-6 ] R273.190 : Type {12,16}_48 Order 3072 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^-2 * R^6 * S^-6 ] R273.191 : Type {12,16}_48 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-2 * R^6 * S^-6 ] R273.192 : Type {12,16}_48 Order 3072 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^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^16 ] R273.193 : Type {12,16}_48 Order 3072 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^16 ] R273.194 : Type {12,16}_48 Order 3072 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^12, 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 ] R273.195 : Type {12,16}_48 Order 3072 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^12, S * R * S^-3 * R^2 * S^-3 * R * S ] R273.196 : Type {12,16}_48 Order 3072 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^12, 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 ] R273.197 : Type {12,16}_48 Order 3072 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^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R273.198 : Type {12,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R * S^3 ] R273.199 : Type {12,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S^16 ] R273.200 : Type {12,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-2 * S * R * S^-1 * R^3 * S^6 ] R273.201 : Type {12,16}_48 Order 3072 mV = 4 mF = 1 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^-1 * R * S * R^-1, R^12, S^16 ] R273.202 : Type {12,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R273.203 : Type {12,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R273.204 : Type {12,16}_48 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R^-1 * S * R^-5 * S * R^-1 * S^-1 * R * S * R^-1 * S, R^-1 * S * R * S^-2 * R^-4 * S^-2 * R * S * R^-1 * S^-2 ] R273.205 : Type {12,16}_48 Order 3072 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^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^16 ] R273.206 : Type {12,16}_48 Order 3072 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^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R273.207 : Type {12,16}_48 Order 3072 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, R^12, (R * S^-1 * R^4)^2, S^-2 * R^6 * S^-6, S^-1 * R^2 * S^-1 * R^-4 * S^2 * R^-2 * S * R^-1 * S * R ] R273.208 : Type {12,16}_48 Order 3072 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, R^12, (R * S^-1 * R^4)^2, S^-2 * R^6 * S^-6, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R273.209 : Type {12,16}_48 Order 3072 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^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R273.210 : Type {12,16}_48 Order 3072 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^-3)^2, R^12, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^16 ] R273.211 : Type {12,16}_48 Order 3072 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 * R * S^-3 * R * S^4, R^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2 ] R273.212 : Type {12,84}_28 Order 2688 mV = 14 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^14 * R^2 * S^4 * R^-1 * S^-1 * R * S^9 ] R273.213 : Type {12,84}_56 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, 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^-3 * R^2 * S^-1 * R^2 * S^-6 * R * S^2 ] R273.214 : Type {12,84}_56 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-5 * R^2 * S^-1 * R^2 * S^-8 ] R273.215 : Type {12,84}_56 Order 2688 mV = 21 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^14 * R * S^-7 * R * S^7 ] R273.216 : Type {12,84}_56 Order 2688 mV = 28 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^14 * R * S^-1 * R^2 * S^-3 * R * S^3 * R * S^-1 * R * S^6 ] R273.217 : Type {12,84}_56 Order 2688 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S * R * S^-6 * R^2 * S^-6 * R * S * R^-1 ] R273.218 : Type {12,220}_330 Order 2640 mV = 110 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^55 * R^5 * S^-2 * T * S^2 * R^-1 * T * S^51 ] R273.219 : Type {16,80}_20 Order 2560 mV = 20 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, R^16, S^11 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R273.220 : Type {16,80}_20 Order 2560 mV = 20 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, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^7 * S^3 * R^-1 * S^2, S^11 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R273.221 : Type {16,80}_20 Order 2560 mV = 20 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, S^11 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R273.222 : Type {16,80}_20 Order 2560 mV = 20 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^10 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^3 ] R273.223 : Type {16,80}_40 Order 2560 mV = 20 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^20 * R * S^-3 * R * S^17 ] R273.224 : Type {16,80}_40 Order 2560 mV = 20 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, R^16, S^10 * R^4 * S^10 ] R273.225 : Type {16,80}_40 Order 2560 mV = 20 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^16, S^20 * R^4 * S * R^-1 * S^-5 * R^2 * S^-1 * R^-1 * S^13 ] R273.226 : Type {16,80}_40 Order 2560 mV = 20 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^20 * R^2 * S^2 * R^-1 * S^-3 * R * S^15 ] R273.227 : Type {16,80}_40 Order 2560 mV = 20 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^20 * R * S^-3 * R * S^17 ] R273.228 : Type {16,80}_40 Order 2560 mV = 20 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, R^16, S^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R273.229 : Type {16,80}_40 Order 2560 mV = 20 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, R^16, S^10 * R^3 * S^-4 * R * S^6 ] R273.230 : Type {16,80}_40 Order 2560 mV = 20 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^10 * R^3 * S^-4 * R * S^6 ] R273.231 : Type {16,80}_40 Order 2560 mV = 20 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^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^16 * R^-1 * S^-1 * R^3 * S^3 ] R273.232 : Type {16,80}_40 Order 2560 mV = 20 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^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^12 * R^-2 * S^6 * R^-2 * S^2 ] R273.233 : Type {16,80}_40 Order 2560 mV = 20 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, S^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R273.234 : Type {16,80}_40 Order 2560 mV = 20 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, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^7 * S^3 * R^-1 * S^2, S^10 * R * S^-2 * R^2 * S^-2 * R * S^6 ] R273.235 : Type {16,80}_80 Order 2560 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^16, S^20 * R^2 * S^3 * R^-1 * S^-3 * R * S^14 ] R273.236 : Type {16,80}_80 Order 2560 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^16, S^20 * R^2 * S * R^-2 * S^19 ] R273.237 : Type {16,80}_80 Order 2560 mV = 10 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^16, S^80 ] R273.238 : Type {16,80}_80 Order 2560 mV = 10 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^80 ] R273.239 : Type {16,80}_80 Order 2560 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, R^16, (R * S^-1 * R^6)^2, S^10 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S^2 * R^-2 * S^3 ] R273.240 : Type {16,80}_80 Order 2560 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, R^16, (R * S^-1 * R^6)^2, S^10 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S * R * S^-2 * R * S^2 ] R273.241 : Type {16,80}_80 Order 2560 mV = 20 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^16, S^20 * R^3 * S^-2 * R * S^5 * R^-4 * S^13 ] R273.242 : Type {16,80}_80 Order 2560 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^80 ] R273.243 : Type {16,80}_80 Order 2560 mV = 40 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^16, (R * S^-1 * R^6)^2, S^10 * R * S^-1 * R * S^9 ] R273.244 : Type {16,80}_80 Order 2560 mV = 40 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^16, (R * S^-1 * R^6)^2, S^10 * R * S^-5 * R * S^5 ] R273.245 : Type {16,80}_80 Order 2560 mV = 40 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^16, S^20 * R * S^-1 * R * S^19 ] R273.246 : Type {16,80}_80 Order 2560 mV = 40 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^80 ] R273.247 : Type {16,624}_78 Order 2496 mV = 624 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^16, S^39 * R * S^-6 * R * S^33 ] R273.248 : Type {16,624}_156 Order 2496 mV = 624 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^16, S^39 * R * S^-2 * R * S^37 ] R273.249 : Type {20,40}_4 Order 2560 mV = 8 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^-2 * R^2)^2, (R * S^-4)^2 ] R273.250 : Type {20,40}_4 Order 2560 mV = 8 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^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2 ] R273.251 : Type {20,40}_8 Order 2560 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^3 * S^-1 * R^3 * S^6, R * S^-2 * R * S^-2 * R^10 * S^-1 * R * S^-1 * R ] R273.252 : Type {20,40}_8 Order 2560 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 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, 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, S^-1 * R^2 * S^-2 * R * S^-3 * R^6 * S^-2 * R * S^-2 ] R273.253 : Type {20,40}_8 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^8 * S^-1 * R * S * R^-1 * S^-2, S * R^7 * S^2 * R^-3 * S ] R273.254 : Type {20,40}_8 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-4)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R273.255 : Type {20,40}_8 Order 2560 mV = 10 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 * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^2 * R^-12 * S * R^-1 * S^3 * R^-1 ] R273.256 : Type {20,40}_16 Order 2560 mV = 10 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 * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^2 * R^-12 * S * R^-1 * S^3 * R^-1 ] R273.257 : Type {21,21}_4 Order 2688 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S^6, R^-3 * S^4 * R^-1 * S * R^-6 * S * R^-1 * S^4 ] R273.258 : Type {24,200}_150 Order 2400 mV = 100 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^11 * S * R^-1 * S, S^25 * R^2 * S * R^-1 * S^-6 * R^-3 * S^18 ] R273.259 : Type {24,200}_300 Order 2400 mV = 100 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^11 * S * R^-1 * S, S^25 * R^3 * S^-2 * R * S^5 * R^-2 * S^18 ] R273.260 : Type {28,44}_308 Order 2464 mV = 22 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^44 ] R273.261 : Type {44,572}_26 Order 2288 mV = 572 mF = 22 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^-7 * S * R^-1 * S * R^-31 * S, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R273.262 : Type {72,72}_4 Order 2304 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^-1 * S * R^-1, R^3 * S^-55 * R^11 * S^-1 * R^2 ] R273.263 : Type {72,72}_4 Order 2304 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^6 * S^5, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, R^-2 * S * R^-2 * S^2 * R^-2 * S * R^-1 * S^3 * R^-2 * S * R^-1 * S^2 * R^-8 * S^2 * R^-3 * S^3 ] R273.264 : Type {72,72}_4 Order 2304 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^2 * S^-1 * R^3 * S^3 * R^-1 * S, S * R^7 * S * R^-5, R^2 * S^-1 * R^2 * S^-2 * R^9 * S^-2 ] R273.265 : Type {72,72}_4 Order 2304 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^2 * S^-1 * R^3 * S^3 * R^-1 * S, S * R^7 * S * R^-5, R^2 * S^-1 * R^2 * S^-2 * R^5 * S^-4 * R^2 ] R273.266 : Type {72,72}_4 Order 2304 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^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^-2 * S^2 * R^-15 * S^2 * R^-11 * S * R^-2 * S * R^-2 * S^34 ] R273.267 : Type {72,72}_4 Order 2304 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^6 * S * R^-1 * S^2 * R^-1, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^5 * R^-2 * S^6 * R^-1 * S * R^-9 * S * R^-1 * S * R^-1 * S^2 * R^-2 * S^4 ] R273.268 : Type {72,72}_4 Order 2304 mV = 18 mF = 9 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^-1 * S * R^-2 * S * R^-2 * S^2 * R^-4 * S * T * S^-1 * R^8 * S^-2 * R^3 * T * R^-1 * S^2 * R^-3 * S^2 ] R273.269 : Type {72,72}_4 Order 2304 mV = 18 mF = 18 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^42 * S^-1 * R^20 * S^-1 * R * S^-3 * R * S^-1 * R^2 ] R273.270 : Type {72,72}_8 Order 2304 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^4 * S^4 * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S * T * R^9 * S^-4 * R * T * S^2 ] R273.271 : Type {72,72}_8 Order 2304 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^4 * S^4 * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, R^2 * S^-1 * T * R^-1 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S^2 * R^-2 * S * T * S^-1 ] R273.272 : Type {72,72}_8 Order 2304 mV = 12 mF = 12 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, S * R * S^-2 * R^3 * S^3 * R^-2, R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^4 * R^-1 * T * S^-1 * R * S^-1 * R^11 * T * R^-2 * S * R^-1 * S * R^-1 ] R273.273 : Type {72,72}_8 Order 2304 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^3 * S * R^-1 * S^2, S * R^6 * S^5, R * S^-1 * R^7 * S^-4 * R * S^-2 * R^3 * S^-1 * R^8 * S^-2 * R * S^-1 * R * S^-3 ] R273.274 : Type {72,72}_8 Order 2304 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^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R * S^-1 * R^11 * S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^10 * S^-1 * R^3 * S^-1 ] R273.275 : Type {72,72}_8 Order 2304 mV = 12 mF = 12 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 * S^-10 * R^3 * S^-1 * R * S^-1 * R^13 * S^-1 * R * S^-1 * R * S^-1 ] R273.276 : Type {72,72}_8 Order 2304 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^2 * R^-52 * S * R^-3 * S * R^-13 ] R273.277 : Type {72,72}_8 Order 2304 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^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^12 * S^-3 * R * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R^3 * S^-1 ] R273.278 : Type {72,72}_8 Order 2304 mV = 18 mF = 9 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 * R^-3 * S * R^-2 * S^4 * R^-6 * S^3 * R^-5 * S^3 * R^-1 * S^2 * R^-2 * S^2 * R^-1 ] R273.279 : Type {72,72}_8 Order 2304 mV = 18 mF = 18 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^24 * R^-8 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-7 ] R273.280 : Type {72,72}_8 Order 2304 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^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-34 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-6 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S ] R273.281 : Type {72,72}_8 Order 2304 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^3, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S * R^-6 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-2 * S^2 ] R273.282 : Type {72,72}_8 Order 2304 mV = 18 mF = 18 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 * R^-5 * S * R^-1 * S * R^-12 * S * R^-2 * S * R^-1 * S^2 * R^-6 * S ] R273.283 : Type {72,72}_8 Order 2304 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, S^47 * R^-24 * S ] R273.284 : Type {72,72}_8 Order 2304 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^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^13 * S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^10 * S^-1 * R^2 * S^-2 ] R273.285 : Type {80,560}_14 Order 2240 mV = 560 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^6 * R * S^-6 * R * S^2, R^-1 * S^14 * R^-19 * S * R^-1 * S * R^-43 ] R273.286 : Type {80,560}_28 Order 2240 mV = 560 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^-7 * R^23 * S^-1 * R * S^-8 ] R273.287 : Type {86,559}_26 Order 2236 mV = 559 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^-2 * R^-1 * S^12 * R^-1 * S^-12, S^7 * R^-1 * S * R^-1 * S * R^-26 * S^6 ] R273.288 : Type {140,140}_4 Order 2240 mV = 35 mF = 35 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^-105 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-10 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 ] R273.289 : Type {158,553}_14 Order 2212 mV = 553 mF = 79 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^-6 * R * S^2, S^20 * R^-13 * S * R^-1 * S * R^-42 * S ] R273.290 : Type {184,552}_6 Order 2208 mV = 552 mF = 92 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^119 * R^-19 * S * R^-1 * S * R^-42 * S ] R273.291 : Type {184,552}_12 Order 2208 mV = 552 mF = 92 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^-5 * R * S^6, S^29 * R^-17 * S * R^-1 * S * R^-42 * S ] R273.292 : Type {276,276}_4 Order 2208 mV = 92 mF = 92 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^112 * R^-2 * S * R^-1 * S^2 * R^-16 * S ] R273.293 : Type {276,276}_4 Order 2208 mV = 92 mF = 92 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^174 * R^-1 * S * R^-14 * S^2 * R^-80 * S * R^-1 ] R273.294 : Type {276,276}_4 Order 2208 mV = 138 mF = 138 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^212 * R^-25 * T * R^11 * S^-1 * R * T * R^-2 * S * R^-1 * S * R^-1 * S * R^-19 ] R273.295 : Type {547,1094}_2 Order 2188 mV = 1094 mF = 547 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^266 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-260 ] R273.296 : Type {548,548}_2 Order 2192 mV = 548 mF = 548 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^261 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-266 * R ] R273.297 : Type {1092,1092}_2 Order 2184 mV = 1092 mF = 1092 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^260 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-265 * R ] Genus 274 R274.1 : Type {3,12}_14 Order 13104 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2, (S * R^-1 * S)^7 ] R274.2 : Type {3,12}_14 Order 13104 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^7, S * R * S^-4 * R * S^-2 * R * S^-1 * R * S^5 * R^-1 * S^2 * R^-1 * S ] R274.3 : Type {3,12}_42 Order 13104 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^-6 * R * S^-1 * R^-1 * S^2 * R^-1 * S^6 * R^-1 * S ] R274.4 : Type {3,12}_42 Order 13104 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S)^2 ] R274.5 : Type {3,24}_14 Order 8736 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, (S * R^-1 * S)^7, S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1 ] R274.6 : Type {3,24}_28 Order 8736 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-4 * R * S^-3 * R^-1 * S^6 * R^-1 * S^-2 ] R274.7 : Type {3,84}_6 Order 7056 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^14 * R * S^-27 * R * S^15 ] R274.8 : Type {4,6}_42 Order 13104 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-1 * S * R^-1 * S^2)^3, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R ] R274.9 : Type {4,95}_114 Order 4560 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-7 * R^-1 * S * R * S^-2 * R^2 * S^-7 * R * S * R^-1 * S^-1 ] R274.10 : Type {4,186}_124 Order 4464 mV = 31 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^31 * R^2 * S^3 * R^-1 * S^-1 * R * S^27 ] R274.11 : Type {4,550}_1100 Order 4400 mV = 275 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^550 ] R274.12 : Type {4,1096}_1096 Order 4384 mV = 1096 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^274 * R^2 * S^274 ] R274.13 : Type {6,6}_12 Order 6552 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1, S^-1 * R^-2 * S^-3 * R^-2 * S^3 * R^-2 * S^-2, S * R^2 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R274.14 : Type {6,12}_6 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-2 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-2 ] R274.15 : Type {6,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^2 * R * S^-2 * R^-2 * S^-2 * R * S^2 * R^-1 ] R274.16 : Type {6,16}_48 Order 4032 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^3 * S^-3, S * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^2 * S^-3 * R * S^-2 * R * S^2 ] R274.17 : Type {6,16}_84 Order 4032 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-5 * R^3 * S^-3, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R274.18 : Type {6,42}_6 Order 3528 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-3 * R^-3 * S^-1 * R^2 * S^3, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^8 ] R274.19 : Type {6,42}_6 Order 3528 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-1 * R * S^-1 * R * S^-5 * R * S^-3 * R * S^-1 * R * S^-1 ] R274.20 : Type {6,42}_6 Order 3528 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-1 * R * S^-1 * R^-1 * S^11 * R^-1 * S^-1 * R ] R274.21 : Type {6,42}_6 Order 3528 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, 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^-9 * R * S^-1 * R^-1 * S^11 * R^-1 * S^-1 * R * S^-6 ] R274.22 : Type {6,276}_276 Order 3312 mV = 92 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^276 ] R274.23 : Type {6,276}_276 Order 3312 mV = 138 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^46 * R * S^-3 * R * S^43 ] R274.24 : Type {6,276}_276 Order 3312 mV = 138 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^276 ] R274.25 : Type {6,822}_274 Order 3288 mV = 822 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^137 * R * S^-1 * R * S^136 ] R274.26 : Type {7,8}_28 Order 4704 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2 ] R274.27 : Type {7,8}_42 Order 4704 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R274.28 : Type {8,20}_30 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, R^-1 * S * R * S^-2 * R^-2 * S * R^-2 * S^-3 ] R274.29 : Type {8,20}_70 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-3 * S * R^-3 * S^-2 ] R274.30 : Type {10,685}_274 Order 2740 mV = 685 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-69 * R * S * R^-1 * S^-67 ] R274.31 : Type {12,57}_114 Order 2736 mV = 19 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^-57 ] R274.32 : Type {12,330}_220 Order 2640 mV = 165 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^55 * R * S^-3 * R * S^52 ] R274.33 : Type {18,207}_138 Order 2484 mV = 69 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^-1 * S^3 * R^-11 * S^3, S^-35 * R * S^3 * R^-1 * S^-31 ] R274.34 : Type {24,27}_108 Order 2592 mV = 9 mF = 6 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^-27 ] R274.35 : Type {24,300}_200 Order 2400 mV = 150 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^25 * R^2 * S^3 * R^-1 * S^-3 * R * S^19 ] R274.36 : Type {42,84}_28 Order 2352 mV = 12 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^31 * S^-1 * R * S^-1 * R^8, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R274.37 : Type {42,84}_28 Order 2352 mV = 42 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^-1 * S * R^15 * S * R^-12, R^6 * S^-1 * R^2 * S^-1 * R^14 * S^-1 * R^6 * S^-9 * R^2 ] R274.38 : Type {42,84}_28 Order 2352 mV = 42 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^4)^2, R * S^-1 * R^-11 * S^-1 * R^2, S^14 * R * S^-1 * R * S^13 ] R274.39 : Type {52,286}_44 Order 2288 mV = 143 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^-2 * S^5 * R^-2 * S^12 ] R274.40 : Type {95,95}_6 Order 2280 mV = 19 mF = 19 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 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-3 * T * S^2 * R^-6 * S * R^-2 * S * R^-2 * T * S^-1 ] R274.41 : Type {186,186}_6 Order 2232 mV = 93 mF = 62 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^120 * S^-1 * R^3 * S^-15 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-17 * R ] R274.42 : Type {186,186}_6 Order 2232 mV = 93 mF = 93 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 * S^-3 * R^24 * S^-1 * R * S^-5 * R^2 * S^-1 * R * T * S^2 * R^-8 * S * R^-2 * T * R * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R274.43 : Type {276,552}_8 Order 2208 mV = 552 mF = 138 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^75 * R^-17 * S * R^-1 * S * R^-42 * S ] R274.44 : Type {549,1098}_2 Order 2196 mV = 1098 mF = 549 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^267 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-260 * S ] R274.45 : Type {550,550}_2 Order 2200 mV = 550 mF = 550 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^262 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-268 ] R274.46 : Type {1096,1096}_2 Order 2192 mV = 1096 mF = 1096 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^261 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-267 ] Genus 275 R275.1 : Type {4,552}_552 Order 4416 mV = 276 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^138 * R * S^-1 * R * S^137 ] R275.2 : Type {4,552}_552 Order 4416 mV = 276 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^552 ] R275.3 : Type {4,1100}_550 Order 4400 mV = 1100 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^275 * R^2 * S^275 ] R275.4 : Type {6,140}_210 Order 3360 mV = 35 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^35 * R^2 * S^2 * R^-1 * S^-1 * R * S^32 ] R275.5 : Type {6,825}_550 Order 3300 mV = 825 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-138 * R * S * R^-1 * S^-136 ] R275.6 : Type {8,368}_368 Order 2944 mV = 184 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^92 * R * S^-1 * R * S^91 ] R275.7 : Type {8,368}_368 Order 2944 mV = 184 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^92 * R^4 * S^92 ] R275.8 : Type {12,112}_336 Order 2688 mV = 56 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^28 * R * S^-1 * R * S^27 ] R275.9 : Type {12,112}_336 Order 2688 mV = 56 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^112 ] R275.10 : Type {12,660}_110 Order 2640 mV = 660 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^55 * R^2 * S^55 ] R275.11 : Type {20,124}_310 Order 2480 mV = 62 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^31 * R^-4 * S^2 * T * R * S^3 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S^22 ] R275.12 : Type {24,52}_312 Order 2496 mV = 13 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^11 * S * R^-1 * S, S^52 ] R275.13 : Type {24,52}_312 Order 2496 mV = 26 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^52 ] R275.14 : Type {24,600}_50 Order 2400 mV = 600 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^24, S^25 * R^2 * S^25 ] R275.15 : Type {24,600}_100 Order 2400 mV = 600 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^24, S^25 * R * S^-6 * R * S^19 ] R275.16 : Type {46,575}_50 Order 2300 mV = 575 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^33 * S^-1 * R * S^-1 * R^10, S^-13 * R * S * R^-1 * S^-11 ] R275.17 : Type {52,572}_22 Order 2288 mV = 572 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^10 * R^-1 * S^-10, R^-1 * S * R^-11 * S * R^-1 * S * R^-35 * S ] R275.18 : Type {102,561}_22 Order 2244 mV = 561 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^-7 * R^27 * S^-1 * R * S^-1 * R^10 * S^-4 ] R275.19 : Type {112,560}_10 Order 2240 mV = 560 mF = 56 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^49 * R^-17 * S * R^-1 * S * R^-42 * S ] R275.20 : Type {112,560}_20 Order 2240 mV = 560 mF = 56 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^9 * R^-1 * S^-9, S^-7 * R^29 * S^-1 * R * S^-1 * R^14 * S^-3 ] R275.21 : Type {140,280}_8 Order 2240 mV = 140 mF = 35 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^75 * S^-17 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-18 ] R275.22 : Type {140,280}_8 Order 2240 mV = 140 mF = 70 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^73 * R^-19 * S * R^-1 * S * R^-43 ] R275.23 : Type {222,555}_10 Order 2220 mV = 555 mF = 111 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^45 * R^-19 * S * R^-1 * S * R^-43 ] R275.24 : Type {551,1102}_2 Order 2204 mV = 1102 mF = 551 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^268 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-262 ] R275.25 : Type {552,552}_2 Order 2208 mV = 552 mF = 552 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^263 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-268 * R ] R275.26 : Type {552,552}_4 Order 2208 mV = 552 mF = 552 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^211 * R^-25 * T * R^11 * S^-1 * R * T * R^-2 * S * R^-1 * S * R^-1 * S * R^-18 * S ] R275.27 : Type {1100,1100}_2 Order 2200 mV = 1100 mF = 1100 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^262 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-267 * R ] Genus 276 R276.1 : Type {3,50}_6 Order 7500 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^50 ] R276.2 : Type {4,15}_6 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-15 ] R276.3 : Type {4,15}_30 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, S^2 * R * S^-5 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-15 ] R276.4 : Type {4,279}_558 Order 4464 mV = 93 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-279 ] R276.5 : Type {4,554}_1108 Order 4432 mV = 277 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^554 ] R276.6 : Type {4,1104}_1104 Order 4416 mV = 1104 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^276 * R^2 * S^276 ] R276.7 : Type {6,278}_834 Order 3336 mV = 139 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^278 ] R276.8 : Type {8,10}_40 Order 4000 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R276.9 : Type {8,10}_40 Order 4000 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R276.10 : Type {8,186}_372 Order 2976 mV = 62 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-47 * R^4 * S^-46 ] R276.11 : Type {8,186}_744 Order 2976 mV = 93 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^186 ] R276.12 : Type {10,30}_6 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-3 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R276.13 : Type {10,30}_6 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-5)^2 ] R276.14 : Type {10,30}_6 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R276.15 : Type {10,30}_6 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R276.16 : Type {10,30}_30 Order 3000 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, 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 ] R276.17 : Type {10,30}_30 Order 3000 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^30 ] R276.18 : Type {10,30}_30 Order 3000 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^30 ] R276.19 : Type {10,30}_30 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^30 ] R276.20 : Type {10,30}_30 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-5)^2, R^-3 * S * R^4 * S^2 * R^-1 * S^-3 ] R276.21 : Type {10,30}_30 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-3 * R)^2 ] R276.22 : Type {10,30}_30 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2 ] R276.23 : Type {10,30}_30 Order 3000 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^30 ] R276.24 : Type {10,30}_30 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^30 ] R276.25 : Type {10,30}_30 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-1 * S * R^-2 * S * R^-4 * S * R^-2 * S^2 ] R276.26 : Type {10,30}_30 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R276.27 : Type {10,30}_30 Order 3000 mV = 10 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-4 * S^-1 * R * S * R^-1 * S^-1 * R ] R276.28 : Type {10,140}_140 Order 2800 mV = 28 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^140 ] R276.29 : Type {10,140}_140 Order 2800 mV = 70 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^14 * R * S^-3 * R * S^11 ] R276.30 : Type {10,140}_140 Order 2800 mV = 70 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^140 ] R276.31 : Type {10,690}_138 Order 2760 mV = 690 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^69 * R * S^-3 * R * S^66 ] R276.32 : Type {14,94}_658 Order 2632 mV = 47 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^94 ] R276.33 : Type {14,644}_92 Order 2576 mV = 644 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^46 * R * S^-3 * R * S^43 ] R276.34 : Type {15,15}_4 Order 3000 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^-15 ] R276.35 : Type {15,15}_20 Order 3000 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^3 * S * R^-1 * S^2, S^-2 * R^5 * S^-2 * R * S^-1 * R, R^-15 ] R276.36 : Type {15,15}_20 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R^-6 * S * R^-1 * S^-3 * R ] R276.37 : Type {25,50}_10 Order 2500 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S^4 * R^-1, R^5 * S^-3 * R^10 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R276.38 : Type {25,50}_10 Order 2500 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (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^-3 * S^-3 * R^2 ] R276.39 : Type {25,50}_10 Order 2500 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^6 * S * R^-4, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R ] R276.40 : Type {25,50}_10 Order 2500 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^6 * S * R^-4, S^2 * R * S^-1 * R^-3 * S^-1 * R * S^4 ] R276.41 : Type {25,50}_10 Order 2500 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3 ] R276.42 : Type {25,50}_50 Order 2500 mV = 25 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^-25 ] R276.43 : Type {26,48}_624 Order 2496 mV = 24 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^48 ] R276.44 : Type {26,598}_46 Order 2392 mV = 598 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^21 * S^-1 * R * S^-1 * R^2, S^23 * R^-1 * S^-10 * R * S^13 ] R276.45 : Type {30,120}_40 Order 2400 mV = 24 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^30, S^20 * R * S^-4 * R * S^16 ] R276.46 : Type {30,120}_40 Order 2400 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 * S^-3 * R * S^4, R^-1 * S * R^11 * S * R^-8, R^3 * S^-1 * R^3 * S^-1 * R^12 * S^-1 * R^5 * S^-1 * R^3 ] R276.47 : Type {30,120}_40 Order 2400 mV = 60 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^20 * R * S^-1 * R * S^19 ] R276.48 : Type {40,60}_120 Order 2400 mV = 6 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^-1 * T * S^-1 * R^9 * S^-2 * R * T * S^3 * R^-1, S^15 * R^2 * S * R^-2 * S^14 ] R276.49 : Type {40,60}_120 Order 2400 mV = 30 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^-5 * R * S^6, S^2 * T * R^5 * S^-1 * R^5 * S^-2 * R * T * S^3 * R^-1, R^14 * S^3 * R^-1 * S^-1 * R * S * R^-2 * S * R^2 ] R276.50 : Type {40,60}_120 Order 2400 mV = 30 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^10 * T * R * S^3 * T * S^-2 * R^10 * S^-2 * T * S^2 * R^-2 * S * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R276.51 : Type {50,575}_46 Order 2300 mV = 575 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^11 * R^-2 * S^12 ] R276.52 : Type {94,564}_12 Order 2256 mV = 564 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^-5 * R * S^6, S^35 * R^-13 * S * R^-1 * S * R^-42 * S ] R276.53 : Type {140,560}_16 Order 2240 mV = 560 mF = 70 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^7 * R^-1 * S^-3, S^7 * R^-17 * S * R^-1 * S * R^-42 * S ] R276.54 : Type {141,188}_6 Order 2256 mV = 47 mF = 47 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, S^18 * R^-1 * S * R^-2 * S * R^-22 * S^2 ] R276.55 : Type {278,556}_4 Order 2224 mV = 556 mF = 139 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^212 * R^-19 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R276.56 : Type {279,279}_4 Order 2232 mV = 93 mF = 93 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^82 * S^-2 * R^14 * S^-1 * R * S^-176 * R ] R276.57 : Type {370,555}_6 Order 2220 mV = 555 mF = 185 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^118 * R^-19 * S * R^-1 * S * R^-43 ] R276.58 : Type {553,1106}_2 Order 2212 mV = 1106 mF = 553 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^269 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-262 * S ] R276.59 : Type {554,554}_2 Order 2216 mV = 554 mF = 554 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^532 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-3 ] R276.60 : Type {1104,1104}_2 Order 2208 mV = 1104 mF = 1104 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^263 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-269 ] Genus 277 R277.1 : Type {4,96}_32 Order 4608 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^6 * R * S^-1 * R^-1 * S * R^-2 * S^8 ] R277.2 : Type {4,96}_32 Order 4608 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^16 * R^2 * S^3 * R^-1 * S^-1 * R * S^12 ] R277.3 : Type {4,280}_140 Order 4480 mV = 70 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^70 * R^2 * S * R^-1 * S^-1 * R * S^68 ] R277.4 : Type {4,280}_280 Order 4480 mV = 70 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^280 ] R277.5 : Type {4,556}_556 Order 4448 mV = 278 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^556 ] R277.6 : Type {4,1108}_554 Order 4432 mV = 1108 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^277 * R^2 * S^277 ] R277.7 : Type {6,72}_18 Order 3456 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^7 * R * S^-2 * R^-2 * S^-2 * R * S^7 ] R277.8 : Type {6,72}_18 Order 3456 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^8, S^4 * R * S^-5 * R^-1 * S^5 * R^-1 * S^-1 * R * S^3 ] R277.9 : Type {6,72}_36 Order 3456 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^18 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^13 ] R277.10 : Type {6,72}_36 Order 3456 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^18 * R * S^-2 * R * S^16 ] R277.11 : Type {6,72}_72 Order 3456 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^72 ] R277.12 : Type {6,72}_72 Order 3456 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^72 ] R277.13 : Type {6,210}_140 Order 3360 mV = 70 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^35 * R^2 * S * R^-1 * S^-4 * R * S^30 ] R277.14 : Type {6,279}_558 Order 3348 mV = 93 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-279 ] R277.15 : Type {6,831}_554 Order 3324 mV = 831 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-139 * R^2 * S^-138 ] R277.16 : Type {10,60}_12 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-2 * R^-1 * S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 * R^-1 * S^-2 ] R277.17 : Type {10,60}_12 Order 2880 mV = 12 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-3 * R^2)^2, S * R^4 * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 ] R277.18 : Type {12,30}_4 Order 2880 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^12, (R * S^-1 * R^4)^2, (R * S^-2)^4, S^-2 * R * S^-1 * R^4 * S^2 * R^-2 * S^-1 * R ] R277.19 : Type {12,30}_8 Order 2880 mV = 3 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^12, R * S^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R277.20 : Type {12,30}_12 Order 2880 mV = 3 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 * R)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-2)^4 ] R277.21 : Type {12,30}_12 Order 2880 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, R^12, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R277.22 : Type {12,30}_20 Order 2880 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, R^12, S * R * S^-4 * R^2 * S^5 * R^-1, R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R277.23 : Type {12,30}_20 Order 2880 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, R^12, S * R * S^-4 * R * S^5, S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R277.24 : Type {12,30}_24 Order 2880 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S^3 * R^4 * S^3 * R^-2, S * R * S^-3 * R^2 * S * R^-1 * S^3 ] R277.25 : Type {12,30}_60 Order 2880 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-3 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R^5 * S^4 * R^-1 * S ] R277.26 : Type {12,30}_60 Order 2880 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^30 ] R277.27 : Type {12,30}_60 Order 2880 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R277.28 : Type {12,30}_60 Order 2880 mV = 5 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^-2 * R^2 * S^3 * R^-1, R^12, S^30 ] R277.29 : Type {12,30}_60 Order 2880 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, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^30 ] R277.30 : Type {12,30}_60 Order 2880 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^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^-2 * R^3 * S^3 * R^-2 ] R277.31 : Type {12,30}_120 Order 2880 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^-2 * R * S * R^-1, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^2 * R * S^-1 * R^-1 * S * R^-3 * S^-2 * R * S^4 ] R277.32 : Type {12,30}_120 Order 2880 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^30 ] R277.33 : Type {12,168}_28 Order 2688 mV = 42 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^15 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R277.34 : Type {12,168}_28 Order 2688 mV = 56 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^14 * R^2 * S * R^-1 * S^-4 * R * S^9 ] R277.35 : Type {12,168}_56 Order 2688 mV = 42 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^28 * R * S^-3 * R * S^25 ] R277.36 : Type {12,168}_56 Order 2688 mV = 56 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^14 * R^2 * S^4 * R^-1 * S^-4 * R * S^6 ] R277.37 : Type {15,20}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^-15 ] R277.38 : Type {16,160}_160 Order 2560 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^40 * R * S^-3 * R * S^37 ] R277.39 : Type {16,160}_160 Order 2560 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^16, S^40 * R * S^-3 * R * S^37 ] R277.40 : Type {16,160}_160 Order 2560 mV = 80 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^40 * R * S^-1 * R * S^39 ] R277.41 : Type {16,160}_160 Order 2560 mV = 80 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^40 * R^-7 * S^-7 * R * S^33 ] R277.42 : Type {72,144}_16 Order 2304 mV = 36 mF = 18 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^-3 * 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^-6 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-7 ] R277.43 : Type {72,144}_16 Order 2304 mV = 36 mF = 18 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 * R^-4 * S^3 * R^-1 * S^2 * R^-2 * S * R^-7 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-2 * S * R^-2 ] R277.44 : Type {72,144}_16 Order 2304 mV = 36 mF = 18 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^-7 * R^-1 * S^7 * R^-1 * S^-2, S^-6 * R * S^-2 * T * R^-1 * S^2 * R^-11 * T * R^2 * S^-1 * R * S^-2 * R^3 * S^-1 * R * S^-2 ] R277.45 : Type {72,144}_16 Order 2304 mV = 36 mF = 36 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^7 * R^-1 * S^-3, R^-1 * S * R^-1 * S * R^-1 * S * R^-20 * S * R^-1 * S * R^-42 * S ] R277.46 : Type {72,144}_16 Order 2304 mV = 72 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, R * S^-1 * R^-9 * S^-1 * R^6, S * R^-8 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^16 * R^-2 ] R277.47 : Type {72,144}_16 Order 2304 mV = 72 mF = 9 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, R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S^4 * R^-1 * S * R^-1 * S^2 * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-2 * S^3 * R^-1 * S^4 * R^-1 ] R277.48 : Type {72,144}_16 Order 2304 mV = 72 mF = 18 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^-7 * R^-1 * S^7 * R^-1 * S^-2, S^-6 * R * S^-2 * T * R^-1 * S^2 * R^-11 * T * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-2 ] R277.49 : Type {72,144}_16 Order 2304 mV = 72 mF = 36 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^-7 * R^-1 * S^7 * R^-1 * S^-2, R^-3 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R277.50 : Type {96,96}_12 Order 2304 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 * S^2, S * R^7 * S * R^-5, R^-1 * S^31 * R^-1 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^16 * R^-2 ] R277.51 : Type {96,96}_12 Order 2304 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 * S^-3 * R * S^4, R * S^-1 * R^-6 * S^-1 * R^5 * S^2, R^-2 * S * R^-1 * S^4 * R^-1 * S * R^-1 * S^2 * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-2 * S^3 * R^-1 * S^4 * R^-1 ] R277.52 : Type {96,96}_12 Order 2304 mV = 48 mF = 48 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^7 * S * R^-5, S * R * S^-5 * R * S^6, R * S^-1 * R^2 * S^-1 * R * S^-2 * R^3 * S^-1 * R^10 * S^-1 * R^5 * S^-2 * R^2 ] R277.53 : Type {96,96}_12 Order 2304 mV = 48 mF = 48 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^13 * S^-1 * R * S^-1, S^-4 * R^2 * S^-1 * R^2 * S^-7 ] R277.54 : Type {96,96}_24 Order 2304 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 * S^2, R^-1 * S * R^13 * S * R^-10, R^7 * S^-1 * R^5 * S^-1 * R^14 * S^-1 * R^6 * S^-11 * R^2 ] R277.55 : Type {96,96}_24 Order 2304 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 * S^-3 * R * S^4, S * R^7 * S * R^-5, R^-2 * S * R^-1 * S^4 * R^-2 * S^5 * R^-5 * S * R^-8 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 ] R277.56 : Type {96,96}_24 Order 2304 mV = 48 mF = 48 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^-5 * R * S^6, R^13 * S^-1 * R * S^-1 ] R277.57 : Type {141,282}_4 Order 2256 mV = 94 mF = 47 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^115 * R^-1 * S * R^-20 * S ] R277.58 : Type {280,280}_4 Order 2240 mV = 140 mF = 140 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^215 * R^-19 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-38 * S ] R277.59 : Type {280,280}_4 Order 2240 mV = 140 mF = 140 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^-105 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-10 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-2 ] R277.60 : Type {555,1110}_2 Order 2220 mV = 1110 mF = 555 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^268 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-266 ] R277.61 : Type {556,556}_2 Order 2224 mV = 556 mF = 556 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^267 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-268 * R ] R277.62 : Type {1108,1108}_2 Order 2216 mV = 1108 mF = 1108 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^532 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-2 * R ] Genus 278 R278.1 : Type {4,558}_1116 Order 4464 mV = 279 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^558 ] R278.2 : Type {4,1112}_1112 Order 4448 mV = 1112 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^278 * R^2 * S^278 ] R278.3 : Type {6,280}_840 Order 3360 mV = 140 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^280 ] R278.4 : Type {6,834}_278 Order 3336 mV = 834 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^139 * R^2 * S^139 ] R278.5 : Type {8,372}_744 Order 2976 mV = 186 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^93 * R^4 * S^93 ] R278.6 : Type {10,695}_278 Order 2780 mV = 695 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-70 * R * S^2 * R^-1 * S^-67 ] R278.7 : Type {12,224}_672 Order 2688 mV = 112 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^56 * R^6 * S^56 ] R278.8 : Type {20,310}_124 Order 2480 mV = 155 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^31 * R * S^-5 * R * S^26 ] R278.9 : Type {32,76}_608 Order 2432 mV = 38 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^19 * R^-4 * S^2 * T * R * S^3 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^4 ] R278.10 : Type {114,190}_30 Order 2280 mV = 95 mF = 57 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^7 * S * R^-5, S^4 * R^5 * S^-2 * R * S^4, R^-7 * S * R^-1 * S^2 * R^-1 * T * R^2 * S^-1 * R^8 * S^-2 * R * T * S * R^-8 * S * R^-2 ] R278.11 : Type {188,282}_12 Order 2256 mV = 141 mF = 94 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^-5 * R * S^6, S^29 * R^-19 * S * R^-1 * S * R^-42 * S ] R278.12 : Type {557,1114}_2 Order 2228 mV = 1114 mF = 557 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^269 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-266 * S ] R278.13 : Type {558,558}_2 Order 2232 mV = 558 mF = 558 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^268 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-270 ] R278.14 : Type {1112,1112}_2 Order 2224 mV = 1112 mF = 1112 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^267 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-269 ] Genus 279 R279.1 : Type {4,282}_282 Order 4512 mV = 94 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^282 ] R279.2 : Type {4,560}_560 Order 4480 mV = 280 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^140 * R * S^-1 * R * S^139 ] R279.3 : Type {4,560}_560 Order 4480 mV = 280 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^560 ] R279.4 : Type {4,1116}_558 Order 4464 mV = 1116 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^279 * R^2 * S^279 ] R279.5 : Type {8,188}_376 Order 3008 mV = 47 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^188 ] R279.6 : Type {8,188}_376 Order 3008 mV = 94 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^188 ] R279.7 : Type {8,744}_186 Order 2976 mV = 744 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^93 * R^2 * S^93 ] R279.8 : Type {8,744}_372 Order 2976 mV = 744 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^93 * R * S^-2 * R * S^91 ] R279.9 : Type {12,336}_112 Order 2688 mV = 168 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^28 * R^2 * S^3 * R^-1 * S^-3 * R * S^22 ] R279.10 : Type {12,336}_112 Order 2688 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^56 * R * S^-1 * R * S^55 ] R279.11 : Type {14,651}_186 Order 2604 mV = 651 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^-47 * R * S * R^-1 * S^-45 ] R279.12 : Type {20,64}_320 Order 2560 mV = 32 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, R^20, S^16 * R * S^-1 * R * S^15 ] R279.13 : Type {20,64}_320 Order 2560 mV = 32 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^64 ] R279.14 : Type {20,620}_62 Order 2480 mV = 620 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^31 * R^2 * S^31 ] R279.15 : Type {38,589}_62 Order 2356 mV = 589 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^29 * S^-1 * R * S^-1 * R^6, S^-16 * R * S^6 * R^-1 * S^-9 ] R279.16 : Type {64,576}_18 Order 2304 mV = 576 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^-1 * S * R^-17 * S * R^-1 * S * R^-41 * S ] R279.17 : Type {64,576}_36 Order 2304 mV = 576 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^-7 * R^14 * S^-11 ] R279.18 : Type {72,288}_32 Order 2304 mV = 144 mF = 36 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 * R^-18 * S^9 ] R279.19 : Type {72,288}_32 Order 2304 mV = 144 mF = 36 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^3 * R^2 * S^5 * R^-1 * S^-3, R^-3 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R279.20 : Type {188,564}_6 Order 2256 mV = 564 mF = 94 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^121 * R^-19 * S * R^-1 * S * R^-43 ] R279.21 : Type {282,282}_4 Order 2256 mV = 94 mF = 94 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^177 * R^-1 * S * R^-14 * S^2 * R^-83 * S * R^-1 ] R279.22 : Type {374,561}_6 Order 2244 mV = 561 mF = 187 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^122 * R^-19 * S * R^-1 * S * R^-42 * S ] R279.23 : Type {559,1118}_2 Order 2236 mV = 1118 mF = 559 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^270 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^4 * T * R^-268 ] R279.24 : Type {560,560}_2 Order 2240 mV = 560 mF = 560 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^269 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-270 * R ] R279.25 : Type {560,560}_4 Order 2240 mV = 560 mF = 560 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^214 * R^-19 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R279.26 : Type {1116,1116}_2 Order 2232 mV = 1116 mF = 1116 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^268 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-269 * R ] Genus 280 R280.1 : Type {4,66}_132 Order 4752 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^66 ] R280.2 : Type {4,66}_132 Order 4752 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^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^7 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-8 * R * S^3 ] R280.3 : Type {4,562}_1124 Order 4496 mV = 281 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^562 ] R280.4 : Type {4,1120}_1120 Order 4480 mV = 1120 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^280 * R^2 * S^280 ] R280.5 : Type {6,96}_32 Order 3456 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S, S^16 * R * S^-3 * R * S^13 ] R280.6 : Type {6,96}_32 Order 3456 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^16 * R^-2 * S^2 * R^-1 * S^-3 * R * S^11 ] R280.7 : Type {6,96}_96 Order 3456 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^16 * R^2 * S^2 * R^-1 * S^-3 * R * S^11 ] R280.8 : Type {6,96}_96 Order 3456 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^96 ] R280.9 : Type {6,96}_96 Order 3456 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^96 ] R280.10 : Type {6,96}_96 Order 3456 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^96 ] R280.11 : Type {6,96}_96 Order 3456 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^16 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^9 ] R280.12 : Type {6,96}_96 Order 3456 mV = 32 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^96 ] R280.13 : Type {6,282}_282 Order 3384 mV = 94 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^282 ] R280.14 : Type {6,282}_282 Order 3384 mV = 141 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^47 * R * S^-1 * R * S^46 ] R280.15 : Type {6,282}_282 Order 3384 mV = 141 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^282 ] R280.16 : Type {6,840}_280 Order 3360 mV = 840 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^140 * R * S^-1 * R * S^139 ] R280.17 : Type {10,142}_710 Order 2840 mV = 71 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^142 ] R280.18 : Type {12,21}_42 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, R^12, S^-21 ] R280.19 : Type {12,114}_228 Order 2736 mV = 19 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^114 ] R280.20 : Type {12,114}_228 Order 2736 mV = 57 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^19 * R * S^-3 * R * S^16 ] R280.21 : Type {12,114}_228 Order 2736 mV = 57 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^114 ] R280.22 : Type {12,672}_224 Order 2688 mV = 672 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^56 * R * S^-4 * R * S^52 ] R280.23 : Type {16,82}_656 Order 2624 mV = 41 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^82 ] R280.24 : Type {18,72}_8 Order 2592 mV = 18 mF = 3 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^-3 * R * S^4, S * R^7 * S * R^-5, R * S^-1 * R^-1 * S * R^4 * S * R^-1 * S^2 * R^-1 * S^-1, S^-2 * R^2 * S^-2 * R^8 * S^-4 ] R280.25 : Type {18,72}_12 Order 2592 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 * R^-1 * S)^3, S^4 * R^2 * S^-1 * R^-1 * S^7 ] R280.26 : Type {18,72}_12 Order 2592 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 * R^-1 * S)^3, S^5 * R^-3 * S^7 ] R280.27 : Type {18,72}_24 Order 2592 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^7 * S * R^-5, R^-1 * S * R^-3 * S * R^-9 * S * R^-1 * S, S^12 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S^7 ] R280.28 : Type {18,72}_24 Order 2592 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^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, S * R^7 * S * R^-5, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-5 * S * R^-1 * S * R^-1 * S^2 ] R280.29 : Type {18,72}_24 Order 2592 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^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, S * R^7 * S * R^-5, S * R * S^-2 * R^4 * S^-2 * R * S^3 ] R280.30 : Type {18,72}_24 Order 2592 mV = 24 mF = 3 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^-1 * S * R^-2 * S * R^-9 * S^2 * R^-2, S^12 * R * S^-2 * R * S^10 ] R280.31 : Type {18,72}_24 Order 2592 mV = 24 mF = 3 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^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, R^3 * S^-1 * R^3 * S * R^-2 * S^-2, S^12 * R * S^-2 * R * S^10 ] R280.32 : Type {18,72}_36 Order 2592 mV = 18 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^-3 * R * S^4, S^-1 * R^-5 * S^2 * R^-1 * S^2 * R^-2 * S^-1 * R ] R280.33 : Type {18,72}_72 Order 2592 mV = 8 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^-1 * S^4 * R^-9 * S^4, S^72 ] R280.34 : Type {18,72}_72 Order 2592 mV = 36 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^18 ] R280.35 : Type {18,72}_72 Order 2592 mV = 36 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^72 ] R280.36 : Type {18,630}_70 Order 2520 mV = 630 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^-1 * S^4 * R^-9 * S^4, S^35 * R * S^-7 * R * S^28 ] R280.37 : Type {21,105}_10 Order 2520 mV = 21 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^-4 * R * S^5, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S^2, R^17 * S^-1 * R^2 * S^-1 ] R280.38 : Type {22,58}_638 Order 2552 mV = 29 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^58 ] R280.39 : Type {22,616}_56 Order 2464 mV = 616 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^28 * R * S^-5 * R * S^23 ] R280.40 : Type {24,36}_24 Order 2592 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2, R^-1 * S * R^10 * S * R^-1 * S^-4 ] R280.41 : Type {24,36}_24 Order 2592 mV = 6 mF = 4 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, (R * S^-1 * R^4)^2, S^-2 * R^5 * S^2 * R^-1 * S^-2 ] R280.42 : Type {24,36}_24 Order 2592 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, (R * S^-3 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 ] R280.43 : Type {24,36}_24 Order 2592 mV = 6 mF = 8 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, (R * S^-1 * R^4)^2, R^10 * S * R^-2 * S, S * R * S^-5 * R * S^6 ] R280.44 : Type {24,36}_72 Order 2592 mV = 6 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 * S^-1 * R^3 * S^-1 * R * S * R^-1, S^5 * R * S^-4 * R^9 * S * R^-1 * S^-7 * R * S ] R280.45 : Type {24,36}_72 Order 2592 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-1 * R^-1 * S^3 * R * S^-1 * R^2 * S^-7, R * S^-1 * R^-1 * S * R^6 * S * R^-2 * S^2 * R^-1 * S^-1 * R ] R280.46 : Type {24,36}_72 Order 2592 mV = 6 mF = 4 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, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, S^9 * R * S^-2 * R^2 * S^-2 * R * S^5 ] R280.47 : Type {24,36}_72 Order 2592 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, (R * S^-3 * R^2)^2, S * R^-2 * S * R^4 * S^4 * R^-2 ] R280.48 : Type {24,36}_72 Order 2592 mV = 6 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, (R * S^-1 * R^4)^2, S^2 * R^-3 * S^-4 * R^-1 * S^3 * R^6 * S^3 * R^-1 * S^-2 * R^-1 * S^4 ] R280.49 : Type {28,88}_616 Order 2464 mV = 44 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^22 * R^-4 * S^2 * T * R * S^3 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^9 ] R280.50 : Type {30,42}_210 Order 2520 mV = 7 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^42 ] R280.51 : Type {30,42}_210 Order 2520 mV = 21 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, (R * S^-1 * R^4)^2, S^-4 * R^-1 * S^3 * R^-1 * S^-7, R^30 ] R280.52 : Type {30,42}_210 Order 2520 mV = 21 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^42 ] R280.53 : Type {34,595}_70 Order 2380 mV = 595 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^27 * S^-1 * R * S^-1 * R^4, S^-18 * R * S^9 * R^-1 * S^-8 ] R280.54 : Type {44,132}_6 Order 2376 mV = 33 mF = 11 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^2 * S^-1 * R * S^-1 * R * S^-1 * R^15 ] R280.55 : Type {58,580}_20 Order 2320 mV = 580 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^39 * S^-1 * R * S^-1 * R^16 ] R280.56 : Type {66,66}_6 Order 2376 mV = 11 mF = 11 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^5, R^-2 * S * R^-3 * S * R^-8 * S * R^-3 * S * R^-2 ] R280.57 : Type {66,66}_6 Order 2376 mV = 11 mF = 11 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 * R^-27 * S * R^-5 * S * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R280.58 : Type {66,66}_6 Order 2376 mV = 11 mF = 22 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^-1 * S^2 * R^-2 * S^26 * R^-2 * S^8 * R^-2 * S * R^-11 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 ] R280.59 : Type {82,574}_14 Order 2296 mV = 574 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^6 * R * S^-6 * R * S^2, R^-1 * S^15 * R^-20 * S * R^-1 * S * R^-42 * S ] R280.60 : Type {114,570}_10 Order 2280 mV = 570 mF = 57 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^50 * R^-18 * S * R^-1 * S * R^-43 ] R280.61 : Type {142,568}_8 Order 2272 mV = 568 mF = 71 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^79 * R^-17 * S * R^-1 * S * R^-42 * S ] R280.62 : Type {162,567}_14 Order 2268 mV = 567 mF = 81 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^-6 * R * S^2, S^-5 * R^10 * S^-2 * R^18 * S^-1 * R * S^-1 * R^3 * S^-1 * T * R^-1 * S * R^-11 * T * R^26 ] R280.63 : Type {189,378}_6 Order 2268 mV = 189 mF = 63 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^126 * S^-17 * R^6 * S^-1 * R^14 * S^-1 * R^6 * S^-17 * R ] R280.64 : Type {226,565}_10 Order 2260 mV = 565 mF = 113 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 * R^-1 * S^46 * R^-19 * S * R^-1 * S * R^-43 ] R280.65 : Type {282,564}_4 Order 2256 mV = 564 mF = 141 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^216 * R^-19 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R280.66 : Type {561,1122}_2 Order 2244 mV = 1122 mF = 561 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^539 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-3 ] R280.67 : Type {562,562}_2 Order 2248 mV = 562 mF = 562 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^274 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-269 ] R280.68 : Type {1120,1120}_2 Order 2240 mV = 1120 mF = 1120 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^269 * T * R^-4 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-271 ] Genus 281 R281.1 : Type {4,24}_8 Order 5376 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2 ] R281.2 : Type {4,24}_8 Order 5376 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, 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 ] R281.3 : Type {4,24}_16 Order 5376 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-2 ] R281.4 : Type {4,24}_16 Order 5376 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2, R^-1 * S^3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^2 ] R281.5 : Type {4,60}_10 Order 4800 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S ] R281.6 : Type {4,60}_12 Order 4800 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S, S^-7 * R * S^-1 * R^-1 * S^3 * R^2 * S^-9 ] R281.7 : Type {4,60}_20 Order 4800 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^-1 * R^-1 * S^8 * R * S^-1 * R * S^8 * R^-1 * S^-2 ] R281.8 : Type {4,84}_12 Order 4704 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S, (R * S^-1)^14 ] R281.9 : Type {4,144}_36 Order 4608 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^18 * R^2 * S * R^-1 * S^-1 * R * S^16 ] R281.10 : Type {4,144}_72 Order 4608 mV = 18 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^18 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^11 ] R281.11 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^36 * R^2 * S^2 * R^-1 * S^-1 * R * S^33 ] R281.12 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^144 ] R281.13 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^36 * R * S^-5 * R * S^31 ] R281.14 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^4 * R^-1, S^36 * R * S^-5 * R * S^31 ] R281.15 : Type {4,144}_144 Order 4608 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^144 ] R281.16 : Type {4,144}_144 Order 4608 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^36 * R * S^-3 * R * S^33 ] R281.17 : Type {4,144}_144 Order 4608 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^36 * R * S^-3 * R * S^33 ] R281.18 : Type {4,144}_144 Order 4608 mV = 36 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^36 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^27 ] R281.19 : Type {4,284}_284 Order 4544 mV = 71 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^284 ] R281.20 : Type {4,564}_564 Order 4512 mV = 282 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^564 ] R281.21 : Type {4,1124}_562 Order 4496 mV = 1124 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^281 * R^2 * S^281 ] R281.22 : Type {6,8}_8 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, (R * S^-2)^4 ] R281.23 : Type {6,8}_8 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^2 * S^-2 * R^-2 * S^4 * R^-2 * S^-1, S * R^2 * S^-1 * R * S^-1 * R^2 * S^3 * R^-1 * S^2 ] R281.24 : Type {6,8}_8 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-2, S^2 * R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-1 ] R281.25 : Type {6,8}_16 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^2, S * R^-1 * S^2 * R^-2 * S * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-1 ] R281.26 : Type {6,8}_24 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^4 * R^-1 ] R281.27 : Type {6,8}_56 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, S^-1 * R * S^-4 * R^-1 * S * R^2 * S * R^-1 * S^4 * R * S^-1 ] R281.28 : Type {6,10}_10 Order 4800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-5 * R^2 * S^5 * R^-1 ] R281.29 : Type {6,10}_40 Order 4800 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R281.30 : Type {6,13}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, S * R^-1 * S * R^-2 * S * R^2 * S^-2 * R * S^2, S^-1 * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S^-2 ] R281.31 : Type {6,13}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-13, (R * S^-4 * R * S^-2)^2, S^-2 * R^-1 * S * R * S^-4 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-3 ] R281.32 : Type {6,18}_14 Order 4032 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-4 * R * S^-2)^2, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R281.33 : Type {6,24}_24 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-4 * R^2 ] R281.34 : Type {6,213}_284 Order 3408 mV = 71 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-36 * R^2 * S^-6 * R * S * R^-3 * S^-28 ] R281.35 : Type {6,843}_562 Order 3372 mV = 843 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-141 * R * S * R^-1 * S^-139 ] R281.36 : Type {8,12}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S^-2 * R * S^-1, (S^-2 * R * S^-1)^3, S^12 ] R281.37 : Type {8,12}_20 Order 3840 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^6, S^12, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S, S^3 * R^-1 * S * R^3 * S^3 * R^-1 * S * R^-1 ] R281.38 : Type {8,12}_20 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^12, S^2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S ] R281.39 : Type {8,12}_40 Order 3840 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^12, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R281.40 : Type {8,12}_40 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^12, S^-2 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R * S^-1 ] R281.41 : Type {8,12}_40 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R281.42 : Type {8,12}_40 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R281.43 : Type {8,12}_40 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R281.44 : Type {8,40}_4 Order 3200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^10 * R^-4 * S^10 ] R281.45 : Type {8,40}_8 Order 3200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * S^-1 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-5 ] R281.46 : Type {8,40}_8 Order 3200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-11 * R^2 * S^5 * R^-1 * S^-1 * R * S^-3 ] R281.47 : Type {8,40}_8 Order 3200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * S^-1 * R * S^-1 * R^2 * S^3 * R^-2 * S^-1 * R * S^-3 ] R281.48 : Type {8,40}_8 Order 3200 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-3 * R * S^-1 ] R281.49 : Type {8,40}_8 Order 3200 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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)^10 ] R281.50 : Type {8,56}_4 Order 3136 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-3 * R * S^-3 * R * S^-1 * R * S^-1 ] R281.51 : Type {8,56}_4 Order 3136 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^14 ] R281.52 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, 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, S^24 * R^3 * S^-6 * R * S^18 ] R281.53 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 * R^4 * S^24 ] R281.54 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 * R * S^-5 * R * S^19 ] R281.55 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 * R * S^-5 * R * S^19 ] R281.56 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 * R^3 * S^-3 * R * S^21 ] R281.57 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^96 ] R281.58 : Type {8,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (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^-3 * R * S^21 ] R281.59 : Type {8,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^24 * R * S^-3 * R * S^21 ] R281.60 : Type {8,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 * R * S^-1 * R * S^2 * R^-1 * S^-3 * R^-1 * S^18 ] R281.61 : Type {8,96}_96 Order 3072 mV = 24 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^24 * R^2 * S * R^-1 * S^-5 * R * S^18 ] R281.62 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, 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^96 ] R281.63 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, 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^24 * R^2 * S^2 * R^-1 * S^-3 * R * S^19 ] R281.64 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^96 ] R281.65 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, 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^24 * R^3 * S^-8 * R * S^16 ] R281.66 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, 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^24 * R^-1 * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^17 ] R281.67 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^24 * R * S^-3 * R * S^21 ] R281.68 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^24 * R^4 * S^24 ] R281.69 : Type {8,96}_96 Order 3072 mV = 24 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 * R * S^-3 * R * S^21 ] R281.70 : Type {8,96}_96 Order 3072 mV = 32 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^96 ] R281.71 : Type {8,96}_96 Order 3072 mV = 32 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^24 * R * S^-2 * R * S^22 ] R281.72 : Type {8,376}_188 Order 3008 mV = 188 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^94 * R * S^-1 * R * S^93 ] R281.73 : Type {8,376}_188 Order 3008 mV = 188 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^94 * R^4 * S^94 ] R281.74 : Type {10,20}_10 Order 3200 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S, S^2 * R^3 * S^-1 * R^4 * S^-1 * R * S^6 ] R281.75 : Type {10,20}_10 Order 3200 mV = 5 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, 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 ] R281.76 : Type {10,20}_20 Order 3200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^-3 * S^-3 * R^2, S * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S ] R281.77 : Type {10,20}_20 Order 3200 mV = 5 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R^-4 * S^2 * R^-1 * S * R^-1 * S^-1, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R281.78 : Type {10,20}_40 Order 3200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-1 * R^-4 * S^-2 * R * S^-1 * R * S^-1 ] R281.79 : Type {20,80}_4 Order 2560 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^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R, R^20 ] R281.80 : Type {20,80}_8 Order 2560 mV = 10 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-2 * R^2 * S^5, R * S^-2 * R * S^-2 * R^10 * S^-1 * R * S^-1 * R ] R281.81 : Type {20,80}_16 Order 2560 mV = 20 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 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-3 * R * S^4, S^-1 * R^15 * S^-1 * R^3 ] R281.82 : Type {20,80}_16 Order 2560 mV = 20 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R * S^-2 * R * S^-2 * R^10 * S^-1 * R * S^-1 * R ] R281.83 : Type {20,80}_16 Order 2560 mV = 20 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 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-3 * R * T * S^2 * R^-8 * S^2 * R^-2 * T * R * S^-1 ] R281.84 : Type {20,80}_16 Order 2560 mV = 20 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 * 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^-7 * R^-1 * S^7 * R^-1 * S^-2, R^-2 * S * R^-2 * S^3 * R^-3 * S^2 * R^-2 * S^3 * R^-1 * S ] R281.85 : Type {24,24}_8 Order 2688 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^6 * S^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, R * S^-3 * R^4 * S * R^-2 * S^-3 ] R281.86 : Type {24,24}_8 Order 2688 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^6 * S^5, R^-2 * S * R^4 * S^2 * R^-1 * S^2 ] R281.87 : Type {24,24}_16 Order 2688 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^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-1 * R^6 * S^-5 ] R281.88 : Type {24,24}_16 Order 2688 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^6 * S^-5, R^3 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R281.89 : Type {24,104}_156 Order 2496 mV = 52 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^11 * S * R^-1 * S, S^26 * R * S^-1 * R * S^25 ] R281.90 : Type {24,104}_156 Order 2496 mV = 52 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^26 * R^-7 * S^-7 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^15 ] R281.91 : Type {36,68}_306 Order 2448 mV = 34 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^17 * R^7 * S^-2 * T * S^2 * R^-2 * S * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R281.92 : Type {40,120}_30 Order 2400 mV = 24 mF = 20 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^-37 * S, S^-2 * R^-1 * S^14 * R^-1 * S^-14 ] R281.93 : Type {40,120}_30 Order 2400 mV = 60 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^-5 * R * S^6, R^-1 * S^3 * R^8 * S^3 * R^-1, S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R281.94 : Type {40,120}_30 Order 2400 mV = 60 mF = 20 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^17 * S * R^-1 * S * R^2, S^15 * R^4 * S * R^-1 * S^-5 * R^2 * S^-2 * R^2 * S^-1 * R^-1 * S^6 ] R281.95 : Type {40,120}_60 Order 2400 mV = 24 mF = 20 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^-37 * S, S^15 * R * S^-4 * R * S^11 ] R281.96 : Type {40,120}_60 Order 2400 mV = 60 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^-5 * R * S^6, R^-1 * S^3 * R^-1 * S * R^-9 * S^4 * R^-1 ] R281.97 : Type {40,120}_60 Order 2400 mV = 60 mF = 20 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^17 * S * R^-1 * S * R^2, S^15 * R^-1 * S^-1 * R * S^6 * R^6 * S * R^-1 * S^-1 * R * S^6 ] R281.98 : Type {60,60}_6 Order 2400 mV = 10 mF = 10 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)^5, S * R^6 * S^5 ] R281.99 : Type {60,60}_6 Order 2400 mV = 10 mF = 10 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^2 * R^-1 * S, S * R^6 * S^5, R^-3 * T * S^-3 * R * S^-1 * R^6 * S^-1 * R * T * S * R^-2 * S ] R281.100 : Type {60,60}_20 Order 2400 mV = 30 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, R^-1 * S * R^11 * S * R^-8, S^16 * R^-6 * S * R^-14 * S * R^-6 * S^14 * R^-2 ] R281.101 : Type {60,60}_20 Order 2400 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, (R * S^-1 * R^4)^2, R^13 * S * R^-3 * S * R^4, S^10 * R * S^-3 * R * S^7 ] R281.102 : Type {84,84}_14 Order 2352 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 * S^2, R * S^-1 * R^-8 * S^-1 * R^5, R^-1 * S * R^-17 * S^18 * R^-6 * S * R^-14 * S * R^-6 * S^19 ] R281.103 : Type {84,84}_14 Order 2352 mV = 42 mF = 42 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, R * S * R^-1 * S^-3 * T * S^3 * R^11 * T * R^-1 * S^-7 ] R281.104 : Type {115,230}_10 Order 2300 mV = 115 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^6 * S * R^-4, R^-2 * S^48 * R^-1 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^19 ] R281.105 : Type {144,144}_4 Order 2304 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, R^-2 * S * R^-109 * S * R^-1 * S^2 * R^-1 * S * R^-2 * S^2 * R^-10 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 ] R281.106 : Type {144,144}_4 Order 2304 mV = 36 mF = 36 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^40 * S^-1 * R^20 * S^-1 * R * S^-3 * R * S^-3 ] R281.107 : Type {144,144}_4 Order 2304 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 * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^118 * R^-1 * S * R^-19 * S * R^-1 ] R281.108 : Type {144,144}_4 Order 2304 mV = 48 mF = 48 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^-2 * S^2 * R^-15 * S^2 * R^-17 * S^34 ] R281.109 : Type {144,144}_8 Order 2304 mV = 36 mF = 36 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 * R^-1 * S^22 * R^-8 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S^2 * R^-3 * S * R^-5 * S ] R281.110 : Type {144,144}_8 Order 2304 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^-1 * S^2 * R^-1 * S * R^-28 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-6 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S ] R281.111 : Type {144,144}_8 Order 2304 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 * R^-2, S * R * S^-2 * R * S^3, R^-2 * S^46 * R^-1 * S * R^-1 * S * R^-20 ] R281.112 : Type {144,144}_8 Order 2304 mV = 48 mF = 48 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^-53 * S^2 * R^-2 * S * R^-13 * S ] R281.113 : Type {144,144}_8 Order 2304 mV = 72 mF = 36 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^79 * R^-1 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^16 * R^-2 ] R281.114 : Type {144,144}_8 Order 2304 mV = 72 mF = 36 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 * R^-1 * S^22 * R^-8 * S * R^-1 * S * R^-1 * S * R^-5 * S * R^-15 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-6 * S ] R281.115 : Type {144,144}_8 Order 2304 mV = 72 mF = 72 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^-1 * S^3 * R^6 * S^3 * R^-1 * S^-2, R^-2 * S * R^-1 * S^3 * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 ] R281.116 : Type {144,144}_8 Order 2304 mV = 72 mF = 72 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^-1 * S^3 * R^6 * S^3 * R^-1 * S^-2, S^6 * R^-6 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 ] R281.117 : Type {284,284}_4 Order 2272 mV = 142 mF = 142 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^219 * R^-19 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-38 * S ] R281.118 : Type {563,1126}_2 Order 2252 mV = 1126 mF = 563 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^269 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-274 ] R281.119 : Type {564,564}_2 Order 2256 mV = 564 mF = 564 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^275 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-269 * R ] R281.120 : Type {1124,1124}_2 Order 2248 mV = 1124 mF = 1124 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^274 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-268 * R ] Genus 282 R282.1 : Type {4,285}_570 Order 4560 mV = 95 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-285 ] R282.2 : Type {4,566}_1132 Order 4528 mV = 283 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^566 ] R282.3 : Type {4,1128}_1128 Order 4512 mV = 1128 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^282 * R^2 * S^282 ] R282.4 : Type {6,284}_852 Order 3408 mV = 142 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^284 ] R282.5 : Type {8,190}_760 Order 3040 mV = 95 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^190 ] R282.6 : Type {10,705}_282 Order 2820 mV = 705 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-71 * R * S^3 * R^-1 * S^-67 ] R282.7 : Type {14,96}_672 Order 2688 mV = 48 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^96 ] R282.8 : Type {14,658}_94 Order 2632 mV = 658 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^47 * R * S^-4 * R * S^43 ] R282.9 : Type {26,611}_94 Order 2444 mV = 611 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^19 * S^-3 * R * S^-1, S^-24 * R * S^4 * R^-1 * S^-19 ] R282.10 : Type {190,570}_6 Order 2280 mV = 570 mF = 95 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^125 * R^-19 * S * R^-1 * S * R^-42 * S ] R282.11 : Type {284,568}_8 Order 2272 mV = 568 mF = 142 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^76 * R^-19 * S * R^-1 * S * R^-43 ] R282.12 : Type {285,285}_4 Order 2280 mV = 95 mF = 95 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^85 * S^-2 * R^14 * S^-1 * R * S^-179 * R ] R282.13 : Type {565,1130}_2 Order 2260 mV = 1130 mF = 565 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^270 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-274 * S ] R282.14 : Type {566,566}_2 Order 2264 mV = 566 mF = 566 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^276 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-271 ] R282.15 : Type {1128,1128}_2 Order 2256 mV = 1128 mF = 1128 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^275 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-270 ] Genus 283 R283.1 : Type {4,192}_64 Order 4608 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^32 * R^2 * S * R^-1 * S^-1 * R * S^30 ] R283.2 : Type {4,192}_64 Order 4608 mV = 32 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^-14 * R^-1 * S^2 * R^-1 * S^-4 * R * S^3 * R^-1 * S^-9 ] R283.3 : Type {4,568}_568 Order 4544 mV = 284 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^142 * R * S^-1 * R * S^141 ] R283.4 : Type {4,568}_568 Order 4544 mV = 284 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^568 ] R283.5 : Type {4,1132}_566 Order 4528 mV = 1132 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^283 * R^2 * S^283 ] R283.6 : Type {6,285}_570 Order 3420 mV = 95 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-285 ] R283.7 : Type {6,849}_566 Order 3396 mV = 849 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-142 * R^2 * S^-141 ] R283.8 : Type {9,63}_8 Order 3024 mV = 9 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, S^6 * R * S^-6 * R * S^2, S^2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^2 ] R283.9 : Type {12,40}_40 Order 2880 mV = 10 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^12, S^9 * R * S^-1 * R^3 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1 * R * S^3 ] R283.10 : Type {12,40}_40 Order 2880 mV = 10 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^40 ] R283.11 : Type {12,87}_232 Order 2784 mV = 29 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^-15 * R^2 * S^-6 * R * S * R^-3 * S^-7 ] R283.12 : Type {12,228}_114 Order 2736 mV = 76 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^57 * R * S^-2 * R * S^55 ] R283.13 : Type {12,228}_114 Order 2736 mV = 114 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^19 * R^3 * S^-4 * R * S^2 * R^2 * S^13 ] R283.14 : Type {12,228}_114 Order 2736 mV = 114 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^57 * R^6 * S^57 ] R283.15 : Type {15,24}_30 Order 2880 mV = 3 mF = 5 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, R^-15, S^7 * R * S^-7 * R * S^2 ] R283.16 : Type {24,156}_104 Order 2496 mV = 39 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^26 * R^-1 * S^-8 * R * S^18 ] R283.17 : Type {24,156}_104 Order 2496 mV = 78 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^26 * R * S^-1 * R * S^25 ] R283.18 : Type {78,195}_30 Order 2340 mV = 65 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^-7 * R^24 * S^-8 ] R283.19 : Type {192,192}_6 Order 2304 mV = 96 mF = 64 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^127 * R^-1 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^16 * R^-2 ] R283.20 : Type {192,192}_6 Order 2304 mV = 96 mF = 96 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^4 * R^-28 * S^3 * R^-5 * S * R^-10 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R283.21 : Type {192,192}_12 Order 2304 mV = 96 mF = 64 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^7 * S * R^-5, R^-2 * S^30 * R^-1 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^17 * R^-1 ] R283.22 : Type {192,192}_12 Order 2304 mV = 96 mF = 96 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^7 * S * R^-5, S * R * S^-5 * R * S^6, S^-3 * R^2 * S^-1 * R * S^-2 * R^3 * S^-1 * R^10 * S^-1 * R^3 * S^-1 * R * S^-3 ] R283.23 : Type {567,1134}_2 Order 2268 mV = 1134 mF = 567 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^271 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-276 ] R283.24 : Type {568,568}_2 Order 2272 mV = 568 mF = 568 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^277 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-271 * R ] R283.25 : Type {568,568}_4 Order 2272 mV = 568 mF = 568 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^218 * R^-19 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R283.26 : Type {1132,1132}_2 Order 2264 mV = 1132 mF = 1132 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^276 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-270 * R ] Genus 284 R284.1 : Type {4,570}_1140 Order 4560 mV = 285 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^570 ] R284.2 : Type {4,1136}_1136 Order 4544 mV = 1136 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^284 * R^2 * S^284 ] R284.3 : Type {6,286}_858 Order 3432 mV = 143 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^286 ] R284.4 : Type {6,852}_284 Order 3408 mV = 852 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^142 * R^2 * S^142 ] R284.5 : Type {8,380}_760 Order 3040 mV = 190 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^95 * R^4 * S^95 ] R284.6 : Type {10,144}_720 Order 2880 mV = 72 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^144 ] R284.7 : Type {10,710}_142 Order 2840 mV = 710 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^71 * R^2 * S^71 ] R284.8 : Type {16,164}_656 Order 2624 mV = 82 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^41 * R^-7 * S^-7 * R * S^34 ] R284.9 : Type {18,639}_142 Order 2556 mV = 639 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^-1 * S^4 * R^-9 * S^4, S^-36 * R * S^4 * R^-1 * S^-31 ] R284.10 : Type {20,128}_640 Order 2560 mV = 64 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^32 * R^-7 * S^-7 * R * S * R^-1 * S^-1 * R * S^23 ] R284.11 : Type {44,56}_616 Order 2464 mV = 28 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-6 * R^-1 * S * R * S^-7 * R^-11 * S^2 * T * R * S^3 * R^-2 * T * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R284.12 : Type {116,290}_20 Order 2320 mV = 145 mF = 58 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^9 * R^-1 * S^-9, S^7 * R^-7 * S * R^-1 * S * R^-38 * S^3 ] R284.13 : Type {286,572}_4 Order 2288 mV = 572 mF = 143 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^220 * R^-19 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R284.14 : Type {569,1138}_2 Order 2276 mV = 1138 mF = 569 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^272 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-276 * S ] R284.15 : Type {570,570}_2 Order 2280 mV = 570 mF = 570 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^278 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-273 ] R284.16 : Type {1136,1136}_2 Order 2272 mV = 1136 mF = 1136 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^277 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-272 ] Genus 285 R285.1 : Type {4,75}_150 Order 4800 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-75 ] R285.2 : Type {4,288}_288 Order 4608 mV = 72 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^288 ] R285.3 : Type {4,288}_288 Order 4608 mV = 72 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^72 * R^2 * S * R^-1 * S^-1 * R * S^70 ] R285.4 : Type {4,288}_288 Order 4608 mV = 96 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^288 ] R285.5 : Type {4,288}_288 Order 4608 mV = 96 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^72 * R * S^-2 * R * S^70 ] R285.6 : Type {4,572}_572 Order 4576 mV = 286 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^572 ] R285.7 : Type {4,1140}_570 Order 4560 mV = 1140 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^285 * R^2 * S^285 ] R285.8 : Type {8,50}_50 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-13 * R^4 * S^-12 ] R285.9 : Type {8,50}_100 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^-13 * R^4 * S^-12 ] R285.10 : Type {8,192}_192 Order 3072 mV = 48 mF = 2 Defining relations for automorphism group: [ R^8, 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^48 * R^3 * S^-2 * R * S^46 ] R285.11 : Type {8,192}_192 Order 3072 mV = 48 mF = 2 Defining relations for automorphism group: [ R^8, 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^48 * R^3 * S^-8 * R * S^40 ] R285.12 : Type {8,192}_192 Order 3072 mV = 48 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^48 * R * S^-1 * R * S^5 * R^-1 * S^-2 * R * S^40 ] R285.13 : Type {8,192}_192 Order 3072 mV = 48 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^192 ] R285.14 : Type {8,192}_192 Order 3072 mV = 64 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^48 * R^4 * S^48 ] R285.15 : Type {8,192}_192 Order 3072 mV = 64 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^48 * R * S^-2 * R * S^46 ] R285.16 : Type {8,192}_192 Order 3072 mV = 96 mF = 2 Defining relations for automorphism group: [ R^8, 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^48 * R * S^-1 * R * S^47 ] R285.17 : Type {8,192}_192 Order 3072 mV = 96 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^192 ] R285.18 : Type {8,760}_190 Order 3040 mV = 760 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^95 * R * S^-2 * R * S^93 ] R285.19 : Type {8,760}_380 Order 3040 mV = 760 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^95 * R^2 * S^95 ] R285.20 : Type {12,116}_348 Order 2784 mV = 58 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^116 ] R285.21 : Type {14,665}_190 Order 2660 mV = 665 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^-48 * R * S^2 * R^-1 * S^-45 ] R285.22 : Type {18,20}_180 Order 2880 mV = 5 mF = 3 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^18, S^20 ] R285.23 : Type {20,160}_32 Order 2560 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, R^-1 * S * R^-1 * T * S^-1 * R^12 * T * R^-1 * S * R^-1 * S, S^16 * R^2 * S * R^-1 * S^-5 * R * S^10 ] R285.24 : Type {20,160}_32 Order 2560 mV = 40 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 * 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^-2 * S * R^-2 * S^3 * R^-3 * S^2 * R^-2 * S^3 * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-5 * R^3 * S^8 ] R285.25 : Type {22,627}_114 Order 2508 mV = 627 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^-29 * R * S * R^-1 * S^-27 ] R285.26 : Type {24,28}_42 Order 2688 mV = 7 mF = 4 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^-1 * R * S * R^-1, S * R^7 * S * R^-5, R * S^-1 * R^-1 * S^5 * R^2 * S * R^-1 * S^-5 * R * S^2 ] R285.27 : Type {24,28}_84 Order 2688 mV = 7 mF = 4 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^-1 * R * S * R^-1, S * R^7 * S * R^-5, S * R^-2 * S^4 * R^-2 * S^2 * R^-1 * S^-5 * R * S^2 ] R285.28 : Type {24,28}_84 Order 2688 mV = 7 mF = 6 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^-9 * S^2 * R^-2 * S^-2 * R^-1, S^28 ] R285.29 : Type {24,28}_168 Order 2688 mV = 7 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 * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-1 * R^2 * S^-5 * R^-1 * S * R^7 * S^-2 * R * S * R^-1 * S^-4 ] R285.30 : Type {24,28}_168 Order 2688 mV = 7 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 * S^-1 * R^3 * S^-1 * R * S * R^-1, S^6 * R * S^-1 * R^2 * S^-1 * R * S^6, R^24 ] R285.31 : Type {24,28}_168 Order 2688 mV = 7 mF = 6 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^24, S^28 ] R285.32 : Type {24,312}_52 Order 2496 mV = 156 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^26 * R * S^-1 * R * S^25 ] R285.33 : Type {24,312}_52 Order 2496 mV = 156 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^26 * R^4 * S^26 ] R285.34 : Type {28,308}_44 Order 2464 mV = 154 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^-1 * S^3 * R^-21 * S, S^22 * R^-1 * S^-8 * R * S^14 ] R285.35 : Type {32,40}_160 Order 2560 mV = 10 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, S^-2 * R^-3 * S^7 * R * S^-1 * R^-4 * S^-1 * R * S^6 * R^6 * S * R^-1 * S^-2 ] R285.36 : Type {32,40}_160 Order 2560 mV = 10 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, S^-2 * R^-3 * S^7 * R * S^-1 * R^-5 * S^2 * R^-1 * S^-5 * R^5 * S * R^-1 * S^-2 ] R285.37 : Type {32,40}_160 Order 2560 mV = 10 mF = 8 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^13 * S * R^-1 * S^2 * R^-1 * S * R, S^10 * R^2 * S^2 * R^-1 * S^-3 * R * S^5 ] R285.38 : Type {32,40}_160 Order 2560 mV = 10 mF = 16 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^-14 * S^-1 * R * S^-1 * R^-1, S^40 ] R285.39 : Type {32,40}_160 Order 2560 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, S^10 * R * S^-1 * R * S^9, R^32 ] R285.40 : Type {32,40}_160 Order 2560 mV = 20 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^40 ] R285.41 : Type {32,608}_38 Order 2432 mV = 608 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^-2 * S^3 * R^-1 * S^3 * R^-23, S^19 * R * S^-2 * R * S^17 ] R285.42 : Type {32,608}_76 Order 2432 mV = 608 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^-2 * S^3 * R^-1 * S^3 * R^-23, S^19 * R^-1 * S^-11 * R * S^8 ] R285.43 : Type {62,589}_38 Order 2356 mV = 589 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^-7 * R^12 * S^-12 ] R285.44 : Type {75,75}_4 Order 2400 mV = 15 mF = 15 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^55 * S^-1 * R * S^-1 * R^11 * S^-2 ] R285.45 : Type {116,580}_10 Order 2320 mV = 580 mF = 58 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^50 * R^-20 * S * R^-1 * S * R^-43 ] R285.46 : Type {288,288}_4 Order 2304 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^2, R^-2 * S^180 * R^-1 * S * R^-14 * S^2 * R^-86 * S * R^-1 ] R285.47 : Type {288,288}_4 Order 2304 mV = 96 mF = 96 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^118 * R^-1 * S * R^-20 * S ] R285.48 : Type {288,288}_4 Order 2304 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^221 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-38 * S ] R285.49 : Type {288,288}_4 Order 2304 mV = 144 mF = 144 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^-109 * S * R^-1 * S^2 * R^-1 * S * R^-2 * S^2 * R^-10 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-2 ] R285.50 : Type {288,288}_8 Order 2304 mV = 96 mF = 96 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^45 * R^-25 ] R285.51 : Type {288,288}_8 Order 2304 mV = 144 mF = 144 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, S^80 * R^-1 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^17 * R^-1 ] R285.52 : Type {382,573}_6 Order 2292 mV = 573 mF = 191 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^124 * R^-20 * S * R^-1 * S * R^-42 * S ] R285.53 : Type {571,1142}_2 Order 2284 mV = 1142 mF = 571 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^273 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-278 ] R285.54 : Type {572,572}_2 Order 2288 mV = 572 mF = 572 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^279 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-273 * R ] R285.55 : Type {1140,1140}_2 Order 2280 mV = 1140 mF = 1140 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^278 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-272 * R ] Genus 286 R286.1 : Type {3,9}_10 Order 20520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * R * S^-3 * R * S^-1 * R * S^-4 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2 ] R286.2 : Type {3,9}_18 Order 20520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * 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^2 * R^-1 * S^-2 ] R286.3 : Type {3,9}_20 Order 20520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R286.4 : Type {3,120}_12 Order 7200 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-10 * R^-1 * S^19 * R^-1 * S^-11 ] R286.5 : Type {4,6}_18 Order 13680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R * S^-1 * R^-2 * S^-2 * R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^3 * R * S^-2 * R^-1 * S ] R286.6 : Type {4,574}_1148 Order 4592 mV = 287 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^574 ] R286.7 : Type {4,1144}_1144 Order 4576 mV = 1144 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^286 * R^2 * S^286 ] R286.8 : Type {6,60}_12 Order 3600 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-7 * R^-1 * S^9 * R^-1 * S^-4 ] R286.9 : Type {6,60}_12 Order 3600 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^4 * R^2 * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R^2 * S, S^4 * R^-2 * S * R^-2 * S^7 ] R286.10 : Type {6,60}_12 Order 3600 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^-3 * R ] R286.11 : Type {6,60}_12 Order 3600 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2, S^3 * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 ] R286.12 : Type {6,288}_288 Order 3456 mV = 96 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^288 ] R286.13 : Type {6,288}_288 Order 3456 mV = 144 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^288 ] R286.14 : Type {6,858}_286 Order 3432 mV = 858 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^143 * R * S^-1 * R * S^142 ] R286.15 : Type {8,66}_88 Order 3168 mV = 11 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^11 * R^2 * S^2 * R^-2 * S^9 ] R286.16 : Type {10,145}_290 Order 2900 mV = 29 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-145 ] R286.17 : Type {10,715}_286 Order 2860 mV = 715 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-72 * R^2 * S^-71 ] R286.18 : Type {24,54}_108 Order 2592 mV = 18 mF = 6 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^-15 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-7 ] R286.19 : Type {24,54}_216 Order 2592 mV = 9 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^54 ] R286.20 : Type {24,54}_216 Order 2592 mV = 27 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^54 ] R286.21 : Type {28,46}_644 Order 2576 mV = 23 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^46 ] R286.22 : Type {28,616}_88 Order 2464 mV = 616 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^-1 * S^3 * R^-21 * S, S^22 * R^2 * S^22 ] R286.23 : Type {46,598}_26 Order 2392 mV = 598 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^33 * S^-1 * R * S^-1 * R^10, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R286.24 : Type {54,594}_22 Order 2376 mV = 594 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^-2 * R^-1 * S^10 * R^-1 * S^-10, R^37 * S^-1 * R * S^-1 * R^14 ] R286.25 : Type {60,120}_40 Order 2400 mV = 24 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^-8 * R^10 * S^-12 ] R286.26 : Type {60,120}_40 Order 2400 mV = 60 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^-1 * S * R^11 * S * R^-8, R * S^-2 * R * S^-1 * R^3 * S^-1 * R^12 * S^-1 * R^3 * S^-1 * R * S^-2 * R ] R286.27 : Type {60,120}_40 Order 2400 mV = 60 mF = 30 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, R^13 * S * R^-3 * S * R^4, S^-8 * R^-1 * S^2 * R^-7 * S^-1 * R * S * R^-1 * S^-8 ] R286.28 : Type {66,198}_18 Order 2376 mV = 66 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^43 * S^-1 * R * S^-1 * R^20 ] R286.29 : Type {66,198}_18 Order 2376 mV = 99 mF = 33 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^7 * S * R^-5, R^-6 * S * R^-13 * S * R^-1, S^-3 * R^-1 * S^6 * R^4 * S^3 * R^-1 * S^-1 * R * S^2 * R * S^-3 ] R286.30 : Type {90,585}_26 Order 2340 mV = 585 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^-2 * R^-1 * S^12 * R^-1 * S^-12, S^-7 * R^25 * S^-1 * R * S^-1 * R^4 * S^-6 ] R286.31 : Type {106,583}_22 Order 2332 mV = 583 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^-2 * R^-1 * S^10 * R^-1 * S^-10, S^7 * R^-5 * S * R^-1 * S * R^-34 * S^4 ] R286.32 : Type {573,1146}_2 Order 2292 mV = 1146 mF = 573 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^274 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-278 * S ] R286.33 : Type {574,574}_2 Order 2296 mV = 574 mF = 574 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^280 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-275 ] R286.34 : Type {1144,1144}_2 Order 2288 mV = 1144 mF = 1144 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^279 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-274 ] Genus 287 R287.1 : Type {3,28}_14 Order 8736 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, (S * R^-1 * S)^7, (S^2 * R^-1 * S^5 * R^-1 * S^2)^2 ] R287.2 : Type {3,28}_24 Order 8736 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, S * R^-1 * S^2 * R * S^-2 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-2 * R * S^2 * R^-1 * S ] R287.3 : Type {3,28}_52 Order 8736 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R * S^7, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 * R^-1 * S^3 * R^-1 * S^2, (S^2 * R^-1 * S^5 * R^-1 * S^2)^2 ] R287.4 : Type {4,576}_576 Order 4608 mV = 288 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^144 * R * S^-1 * R * S^143 ] R287.5 : Type {4,576}_576 Order 4608 mV = 288 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^576 ] R287.6 : Type {4,1148}_574 Order 4592 mV = 1148 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^287 * R^2 * S^287 ] R287.7 : Type {6,14}_4 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, 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^-5 * R)^2, (S * R^-2 * S * R^-1)^3 ] R287.8 : Type {6,14}_4 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, 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^-5 * R)^2, (S^-1 * R)^7 ] R287.9 : Type {6,14}_12 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-2 * R^-2 * S * R * S^-1 * R * S^3 * R^-1 * S^-1 ] R287.10 : Type {6,14}_12 Order 4368 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 ] R287.11 : Type {6,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^14, (S^2 * R^-1 * S^2)^3 ] R287.12 : Type {6,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, (R * S^-4 * R)^2, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R^2 * S ] R287.13 : Type {6,14}_14 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R287.14 : Type {6,14}_14 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-1 * R * S^-2 * R^-1 * S^5 ] R287.15 : Type {6,14}_14 Order 4368 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S ] R287.16 : Type {6,14}_26 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^6 ] R287.17 : Type {6,14}_26 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^6, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R^2 * S^2 ] R287.18 : Type {6,14}_26 Order 4368 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-2 * R * S^-1 * R * S^3 ] R287.19 : Type {6,861}_574 Order 3444 mV = 861 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-144 * R * S * R^-1 * S^-142 ] R287.20 : Type {8,384}_384 Order 3072 mV = 192 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^96 * R * S^-1 * R * S^95 ] R287.21 : Type {8,384}_384 Order 3072 mV = 192 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^96 * R^4 * S^96 ] R287.22 : Type {12,174}_232 Order 2784 mV = 58 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^-15 * R^2 * S^-1 * R^2 * S^-13 ] R287.23 : Type {16,84}_336 Order 2688 mV = 21 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^84 ] R287.24 : Type {16,84}_336 Order 2688 mV = 42 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^84 ] R287.25 : Type {16,656}_82 Order 2624 mV = 656 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^16, S^41 * R^2 * S^41 ] R287.26 : Type {16,656}_164 Order 2624 mV = 656 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^16, S^41 * R * S^-4 * R * S^37 ] R287.27 : Type {20,320}_64 Order 2560 mV = 160 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, R^-1 * S * R^-1 * T * S^-1 * R^12 * T * R^-1 * S * R^-1 * S, S^16 * R * S^-5 * R * S^11 ] R287.28 : Type {20,320}_64 Order 2560 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, S^-2 * R^13 * S^-3 * R * S^-1, S^32 * R * S^-1 * R * S^31 ] R287.29 : Type {30,615}_82 Order 2460 mV = 615 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^3 * R^-1 * S^4 * R^-21 * S, S^-21 * R * S^13 * R^-1 * S^-7 ] R287.30 : Type {55,110}_22 Order 2420 mV = 55 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^-1 * S * R^12 * S * R^-9, R^-8 * S^3 * R^-6 * S * R^-14 * S * R^-6 * S^15 * R^-1 ] R287.31 : Type {166,581}_14 Order 2324 mV = 581 mF = 83 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^-6 * R * S^2, S^21 * R^-16 * S * R^-1 * S * R^-43 ] R287.32 : Type {575,1150}_2 Order 2300 mV = 1150 mF = 575 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^275 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-280 ] R287.33 : Type {576,576}_2 Order 2304 mV = 576 mF = 576 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^281 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-275 * R ] R287.34 : Type {576,576}_4 Order 2304 mV = 576 mF = 576 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^222 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R287.35 : Type {1148,1148}_2 Order 2296 mV = 1148 mF = 1148 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^280 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-274 * R ] Genus 288 R288.1 : Type {4,291}_582 Order 4656 mV = 97 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-291 ] R288.2 : Type {4,578}_1156 Order 4624 mV = 289 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^578 ] R288.3 : Type {4,1152}_1152 Order 4608 mV = 1152 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^288 * R^2 * S^288 ] R288.4 : Type {6,290}_870 Order 3480 mV = 145 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^290 ] R288.5 : Type {8,194}_776 Order 3104 mV = 97 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^194 ] R288.6 : Type {10,146}_730 Order 2920 mV = 73 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^146 ] R288.7 : Type {10,720}_144 Order 2880 mV = 720 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^72 * R * S^-1 * R * S^71 ] R288.8 : Type {12,232}_696 Order 2784 mV = 116 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^58 * R^6 * S^58 ] R288.9 : Type {14,16}_16 Order 3136 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^16 ] R288.10 : Type {14,16}_16 Order 3136 mV = 2 mF = 1 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, (R * S^-3 * R^2)^2, S^16 ] R288.11 : Type {14,16}_16 Order 3136 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 * S * R^-1 * S^-1, R^14, S^16 ] R288.12 : Type {14,98}_98 Order 2744 mV = 14 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^98 ] R288.13 : Type {14,98}_98 Order 2744 mV = 49 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^98 ] R288.14 : Type {14,672}_96 Order 2688 mV = 672 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^48 * R * S^-5 * R * S^43 ] R288.15 : Type {18,74}_666 Order 2664 mV = 37 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^74 ] R288.16 : Type {20,66}_660 Order 2640 mV = 33 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^66 ] R288.17 : Type {20,640}_128 Order 2560 mV = 640 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^32 * R * S^-6 * R * S^26 ] R288.18 : Type {26,50}_650 Order 2600 mV = 25 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^50 ] R288.19 : Type {26,624}_48 Order 2496 mV = 624 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^19 * S^-3 * R * S^-1, S^24 * R^-1 * S^-11 * R * S^13 ] R288.20 : Type {34,38}_646 Order 2584 mV = 19 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^34, S^38 ] R288.21 : Type {34,612}_36 Order 2448 mV = 612 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^24 * S^-3 * R * S^-3 * R^3, S^18 * R^2 * S^18 ] R288.22 : Type {36,306}_68 Order 2448 mV = 153 mF = 18 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^-2 * S^3 * R^-1 * S^3 * R^-24 * S, S^17 * R^-1 * S^-8 * R * S^9 ] R288.23 : Type {38,608}_32 Order 2432 mV = 608 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^26 * S^-3 * R * S^-3 * R^5, S^-2 * R^-1 * S^15 * R^-1 * S^-15 ] R288.24 : Type {48,52}_624 Order 2496 mV = 26 mF = 24 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^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * T * S^3 * T * S^-2 * R^12 * S^-2 * T * S^2 * R^-2 * S * T * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R288.25 : Type {50,600}_24 Order 2400 mV = 600 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^-2 * R^-1 * S^11 * R^-1 * S^-11, R^50 ] R288.26 : Type {74,592}_16 Order 2368 mV = 592 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^-6 * R^-1 * S^7 * R^-1 * S^-3, S^4 * R^-1 * S^4 * R^-19 * S * R^-1 * S * R^-43 ] R288.27 : Type {98,588}_12 Order 2352 mV = 588 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^-5 * R * S^6, S^36 * R^-16 * S * R^-1 * S * R^-43 ] R288.28 : Type {130,585}_18 Order 2340 mV = 585 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^8 * R^-11 * S * R^-1 * S * R^-42 * S ] R288.29 : Type {146,584}_8 Order 2336 mV = 584 mF = 73 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^80 * R^-20 * S * R^-1 * S * R^-43 ] R288.30 : Type {147,196}_6 Order 2352 mV = 49 mF = 49 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^23 * R^-1 * S^3 * R^-21 ] R288.31 : Type {194,582}_6 Order 2328 mV = 582 mF = 97 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^127 * R^-20 * S * R^-1 * S * R^-42 * S ] R288.32 : Type {290,580}_4 Order 2320 mV = 580 mF = 145 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^224 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R288.33 : Type {291,291}_4 Order 2328 mV = 97 mF = 97 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^88 * S^-2 * R^14 * S^-1 * R * S^-182 * R ] R288.34 : Type {386,579}_6 Order 2316 mV = 579 mF = 193 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^125 * R^-20 * S * R^-1 * S * R^-42 * S ] R288.35 : Type {577,1154}_2 Order 2308 mV = 1154 mF = 577 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^276 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-280 * S ] R288.36 : Type {578,578}_2 Order 2312 mV = 578 mF = 578 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^282 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-277 ] R288.37 : Type {1152,1152}_2 Order 2304 mV = 1152 mF = 1152 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^281 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-276 ] Genus 289 R289.1 : Type {3,12}_24 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-6 * R * S^-1 * R * S^6 * R^-1 * S, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R289.2 : Type {3,12}_24 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S^4 * R * S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R289.3 : Type {3,12}_48 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S^4 * R * S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-3 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R289.4 : Type {3,12}_48 Order 13824 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R289.5 : Type {3,24}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * 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 ] R289.6 : Type {3,24}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^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, S^-1 * R^-1 * S^2 * R * S^-4 * R^-1 * S * R^-1 * S^-2 * R * S^4 * R^-1 * S^-2 ] R289.7 : Type {3,24}_24 Order 9216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2, S^-2 * 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^-1 ] R289.8 : Type {3,24}_24 Order 9216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-6 * R^-1 * S^2 * R^-1 * S^5 * R^-1 * S^-2, S^-2 * R * S^-4 * R * S^-3 * R * S^7 * R^-1 * S^-2, S^-1 * R * S^-3 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-1 ] R289.9 : Type {3,24}_24 Order 9216 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^7 * R^-1 * S^-8, S * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S, (S^2 * R^-1 * S^4)^3 ] R289.10 : Type {3,24}_48 Order 9216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, S^-2 * 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^-1 ] R289.11 : Type {3,24}_48 Order 9216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^2 * S^4 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R * S^-3 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-1 ] R289.12 : Type {3,24}_48 Order 9216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^2 * S^4 * R^-1 * S^2 * R^-1 * S^-1, S^-2 * 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^-1, S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^-2 * R * S^-1 ] R289.13 : Type {3,24}_48 Order 9216 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^2 * S^4 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R289.14 : Type {3,30}_16 Order 8640 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^4 * R^-1 * S^2 * R^-1 * S, S^-3 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1 ] R289.15 : Type {3,30}_60 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-4 * R * S^-2 * R^2 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^6 * R * S^-2 * R * S^6 * R^-1 * S^-3 ] R289.16 : Type {3,42}_8 Order 8064 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-6 * R * S^-2 * R * S^7 * R^-1 * S^2, S * R * S^-3 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^3 * R^-1 * S^-2 * R * S^2 ] R289.17 : Type {3,42}_16 Order 8064 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^4 * R^-1 * S^2 * R^-1 * S, S * R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 ] R289.18 : Type {4,6}_12 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (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^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S, 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 ] R289.19 : Type {4,6}_24 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^3 * R^2 * S^-1 * R * S^3 * R^-1 ] R289.20 : Type {4,6}_24 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^3 * R^2 * S * R^-1 * S^-2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S ] R289.21 : Type {4,6}_24 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^-1 * S * R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] R289.22 : Type {4,6}_24 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S^-3 * R * S^-1 * R * S^3 * R^2 * S^3 * R * S^-1, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^3 * R * S^-2 * R^2 * S * R^-1 ] R289.23 : Type {4,8}_12 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ] R289.24 : Type {4,8}_12 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, S * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S ] R289.25 : Type {4,8}_12 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-2 * S^-4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * R^2 * S, R^-1 * S^-4 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-1 * 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 ] R289.26 : Type {4,8}_12 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, R^-1 * S^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1, S^2 * 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^-1 * R * S * R^-1 ] R289.27 : Type {4,8}_12 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S, 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 ] R289.28 : Type {4,8}_12 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1, (R * S^-2 * R * S^-2 * R * S^-1)^2, 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 ] R289.29 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ] R289.30 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^-1 * S^-4 * R * S^-1 * R * S^-1 * R * S^4 * R^-1 * S * R^-1 * S, (R * S^-3)^4, R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R289.31 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^4 * R^2 * S^2 * R^-1 * S^-2 ] R289.32 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^4 * R^2 * S^2 * R^-1 * S^-2 ] R289.33 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2 ] R289.34 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, S^2 * 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^-1 * R * S * R^-1, R^-1 * S^2 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-3 ] R289.35 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S, R^-1 * S^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1 ] R289.36 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1, (R * S^-2 * R * S^-2 * R * S^-1)^2, R^-1 * S^-4 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^4 * R^-1 ] R289.37 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^-1 * S * R^-1 ] R289.38 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, (R * S^-1)^12 ] R289.39 : Type {4,8}_24 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, R * S^-1 * R * S^3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R289.40 : Type {4,8}_48 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (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 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R289.41 : Type {4,8}_48 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, (R * S^-2)^4, R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S ] R289.42 : Type {4,8}_48 Order 9216 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R^-2 * S^-1 * R * S^-1 * R * S^2 * R^-1 ] R289.43 : Type {4,8}_48 Order 9216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^24 ] R289.44 : Type {4,8}_48 Order 9216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * 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 * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R289.45 : Type {4,10}_6 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (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, R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^5 * R^-1 * S^2 ] R289.46 : Type {4,10}_12 Order 7680 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (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 ] R289.47 : Type {4,10}_24 Order 7680 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R289.48 : Type {4,12}_6 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (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^-3 * R * S^-1 * R * S^-1)^2, S * R * S^-4 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R289.49 : Type {4,12}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, S^-2 * R^-1 * S * R * S^-1 * 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 ] R289.50 : Type {4,12}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R^-1 * S^-6 * R^2 * S^6 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R289.51 : Type {4,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] R289.52 : Type {4,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 ] R289.53 : Type {4,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R289.54 : Type {4,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-6 * R^2 * S^6 * R^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R289.55 : Type {4,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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 ] R289.56 : Type {4,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R289.57 : Type {4,12}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R289.58 : Type {4,12}_24 Order 6912 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R289.59 : Type {4,12}_24 Order 6912 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^-1 * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 ] R289.60 : Type {4,12}_24 Order 6912 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 ] R289.61 : Type {4,20}_8 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, 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^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3, S^3 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^2 ] R289.62 : Type {4,20}_8 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-1 * S^2 * R^-1 * S * R^2 * S * R^-1 * S^2 * R^-1 * S, 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^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R289.63 : Type {4,20}_8 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^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 * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S ] R289.64 : Type {4,20}_8 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-3)^4 ] R289.65 : Type {4,20}_10 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^2 ] R289.66 : Type {4,20}_20 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2 ] R289.67 : Type {4,20}_120 Order 5760 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^20, (R * S^-1)^12 ] R289.68 : Type {4,28}_8 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * 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 ] R289.69 : Type {4,28}_16 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R289.70 : Type {4,36}_4 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, S^-17 * R * S^-1 * R^-2 * S^-1 * R * S^-17 ] R289.71 : Type {4,36}_6 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^8 * R * S^-8 * R * S^2 ] R289.72 : Type {4,36}_12 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^2 * S^-4 * R * S^2, (R * S^-2)^6 ] R289.73 : Type {4,36}_18 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, R * S^-4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S^-1, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-5 * R^2 * S^-5 * R * S^2 * R^-1 * S^-2 ] R289.74 : Type {4,36}_18 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, R * S^-1 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R289.75 : Type {4,36}_36 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^-1, S^36 ] R289.76 : Type {4,36}_36 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, S^2 * R * S^-5 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-2)^6 ] R289.77 : Type {4,36}_36 Order 5184 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^36 ] R289.78 : Type {4,40}_10 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, 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 ] R289.79 : Type {4,40}_20 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S ] R289.80 : Type {4,40}_20 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-2 * R^-1 * S^12 * R^-1 * S^-2 * R * S^2 ] R289.81 : Type {4,40}_20 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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^-3 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R^-1 * S^13 * R^-1 * S^-1 * R * S^3 ] R289.82 : Type {4,40}_20 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S^2 * R * S^-1 * R^-1 * S^13 * R^-1 * S^-1 * R * S^3 ] R289.83 : Type {4,40}_20 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^-7 * R^-1 * S^9 * R^-1 * S^-4 ] R289.84 : Type {4,40}_20 Order 5120 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] R289.85 : Type {4,40}_20 Order 5120 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] R289.86 : Type {4,40}_40 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^40 ] R289.87 : Type {4,40}_40 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^6 * R^-1, S^2 * R * S^-1 * R^-1 * S^13 * R^-1 * S^-1 * R * S^3 ] R289.88 : Type {4,40}_40 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-3 * R^-1 * S * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R^-1 * S^13 * R^-1 * S^-1 * R * S^3 ] R289.89 : Type {4,40}_40 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-2 * R^-1 * S^12 * R^-1 * S^-2 * R * S^2 ] R289.90 : Type {4,40}_40 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S^40 ] R289.91 : Type {4,40}_40 Order 5120 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^6 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^6 * R^-1 * S^-2 ] R289.92 : Type {4,40}_40 Order 5120 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^40 ] R289.93 : Type {4,40}_40 Order 5120 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (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, S^40 ] R289.94 : Type {4,40}_40 Order 5120 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^40 ] R289.95 : Type {4,40}_40 Order 5120 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-4 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S^14 * R^-1 * S^-4 ] R289.96 : Type {4,40}_40 Order 5120 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^40 ] R289.97 : Type {4,40}_80 Order 5120 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-2)^4, R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^40 ] R289.98 : Type {4,40}_80 Order 5120 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^40 ] R289.99 : Type {4,40}_80 Order 5120 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^40 ] R289.100 : Type {4,40}_80 Order 5120 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^40 ] R289.101 : Type {4,40}_80 Order 5120 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R * S^-2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-2 * S^-1 * R * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R289.102 : Type {4,68}_204 Order 4896 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^68 ] R289.103 : Type {4,76}_152 Order 4864 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^76 ] R289.104 : Type {4,132}_66 Order 4752 mV = 33 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^-6 * R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-9 ] R289.105 : Type {4,132}_66 Order 4752 mV = 33 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^33 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^28 ] R289.106 : Type {4,148}_296 Order 4736 mV = 37 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^148 ] R289.107 : Type {4,292}_292 Order 4672 mV = 73 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^292 ] R289.108 : Type {4,580}_580 Order 4640 mV = 290 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^580 ] R289.109 : Type {4,1156}_578 Order 4624 mV = 1156 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^289 * R^2 * S^289 ] R289.110 : Type {5,30}_10 Order 4320 mV = 6 mF = 1 Defining relations for automorphism group: [ R^5, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S * R * S^-1 * R^2 * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S ] R289.111 : Type {6,6}_6 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-2 * R * S^-1 * R^3 * S^3 * R^3 * S * R^-1 * S^-2 ] R289.112 : Type {6,6}_6 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^-3 * S^-1 * R * S^3 * R ] R289.113 : Type {6,6}_6 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R289.114 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1, R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R^2 * S * R^-1 * S^-2 ] R289.115 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-2 * S^-2 * R^2 * S^-2, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-2 * S^-1 * R ] R289.116 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2 * S^-1 * R)^2, (R * S^-2 * R * S^-2 * R)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^3 * R^3 * S^-2 ] R289.117 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (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 * R)^4, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-2 * S^-1 * R, R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-2 * S^3 * R^2 * S^-2 * R * S^-1 ] R289.118 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1 * R)^4, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R ] R289.119 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1)^6 ] R289.120 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-1)^6, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1, S^-1 * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-2 * R ] R289.121 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-1)^6, S * R * S^-1 * R^-2 * S * R^3 * S^3 * R^-1 * S * R^-1 * S ] R289.122 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 ] R289.123 : Type {6,6}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-2 * S^-2 * R^2 * S^-2 ] R289.124 : Type {6,6}_24 Order 6912 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-1)^6, R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R^2 * S * R^-1 * S^-2 ] R289.125 : Type {6,6}_24 Order 6912 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R^2 * S * R^-1 * S^-2 ] R289.126 : Type {6,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ] R289.127 : Type {6,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S * R^-1 * S^-2 * R * S^-3 * R * S^-1 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S ] R289.128 : Type {6,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R289.129 : Type {6,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^2 * R^2 * S^2 * R^-1 * S^-3 * R * S^-1 * R * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 ] R289.130 : Type {6,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S, S * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 ] R289.131 : Type {6,9}_8 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1)^6, S * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S ] R289.132 : Type {6,9}_24 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R289.133 : Type {6,9}_24 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-2 * R^-1 * S * R^2 * S^-1 * R ] R289.134 : Type {6,9}_24 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R ] R289.135 : Type {6,9}_72 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-1 * 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^-1 * S * R * S^-1 ] R289.136 : Type {6,9}_72 Order 5184 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-1 * 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^-1 * S * R^2 ] R289.137 : Type {6,12}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, 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^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^3, S * R * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] R289.138 : Type {6,12}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-4 ] R289.139 : Type {6,12}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (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^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.140 : Type {6,12}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R289.141 : Type {6,12}_6 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2 * R^2 * S^-1 * R)^2 ] R289.142 : Type {6,12}_6 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S^2 * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S^-2 ] R289.143 : Type {6,12}_6 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-3 * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S^-1 * R ] R289.144 : Type {6,12}_6 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-5)^2, R * S^-4 * R^-2 * S * R^-2 * S * R^-1 * S, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.145 : Type {6,12}_6 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-5)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.146 : Type {6,12}_6 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (S^-1 * R^2 * S^-1)^3, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S ] R289.147 : Type {6,12}_6 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R289.148 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-3 * R * S^-1)^2 ] R289.149 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, (R * S^-3 * R * S^-1)^2 ] R289.150 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R289.151 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (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^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.152 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R289.153 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] R289.154 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^3 * R^-2 * S^-2 ] R289.155 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2 ] R289.156 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6 ] R289.157 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (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, R * S^-4 * R^-2 * S * R^-2 * S * R^-1 * S ] R289.158 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R289.159 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1 ] R289.160 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S ] R289.161 : Type {6,12}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R289.162 : Type {6,12}_12 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-1 * R)^4, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R ] R289.163 : Type {6,12}_12 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R ] R289.164 : Type {6,12}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S^-3 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R289.165 : Type {6,12}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 ] R289.166 : Type {6,12}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, R^-1 * S^-6 * R * S^-1 * R * S^6 * R^-1 * S, S * R * S^-3 * R * S^-2 * R * S^4 * R^-1 * S^2 ] R289.167 : Type {6,12}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-3 * R * S^-1)^2 ] R289.168 : Type {6,12}_24 Order 4608 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S^-3 * R * S^-1 ] R289.169 : Type {6,12}_24 Order 4608 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S^-3 * R * S^-1 ] R289.170 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1 ] R289.171 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 ] R289.172 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-5)^2, S * R * S^-1 * R * S^-3 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R289.173 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-5)^2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R289.174 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] R289.175 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1 * R)^4, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R289.176 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^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 ] R289.177 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-5)^2, R^2 * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S^-2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R289.178 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-1 * R)^4, (R * S^-3 * R * S^-1)^2 ] R289.179 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2 ] R289.180 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R289.181 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R^-3 * S * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 ] R289.182 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-2)^4, (R * S^-5)^2 ] R289.183 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4 ] R289.184 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4 ] R289.185 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, (R * S^-5)^2, R^2 * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S^-2 ] R289.186 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R289.187 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S ] R289.188 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 ] R289.189 : Type {6,12}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-5)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S^-2 * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S^-2 ] R289.190 : Type {6,12}_24 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R289.191 : Type {6,12}_24 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (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, S^-1 * R^-2 * S * R * S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 ] R289.192 : Type {6,12}_24 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R289.193 : Type {6,12}_24 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-2 * S * R * S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 ] R289.194 : Type {6,12}_48 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S^-3 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S ] R289.195 : Type {6,12}_48 Order 4608 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-4 * R^3 * S^-2, R^-1 * S^-3 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-3 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^3 * R^-1 * S ] R289.196 : Type {6,15}_6 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-4 * R * S^5, (S * R^-2 * S^2)^3 ] R289.197 : Type {6,15}_6 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (S * R^-2 * S^2)^3 ] R289.198 : Type {6,15}_24 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, S^-2 * R^-1 * S * R^-2 * S * R^2 * S^3 * R^-1 * S^-2 ] R289.199 : Type {6,21}_28 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S, R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R289.200 : Type {6,21}_84 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R^-2 * S * R^2 * S^-4 * R * S^-1 ] R289.201 : Type {6,21}_168 Order 4032 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R^2 * S * R^-1, S^-21 ] R289.202 : Type {6,27}_108 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^2 * S^-2 * R^-1 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S^-2 ] R289.203 : Type {6,27}_108 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R289.204 : Type {6,27}_108 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2, S^-27 ] R289.205 : Type {6,30}_20 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1, S^2 * R * S^-1 * R^-1 * S * R^2 * S^6 ] R289.206 : Type {6,30}_40 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^2 * S, R * S^-2 * R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S^-2 * R * S^3 ] R289.207 : Type {6,30}_40 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-2)^4, (R * S^-5)^2, S^3 * R^-2 * S * R * S^-1 * R^3 * S^5 ] R289.208 : Type {6,30}_40 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R^2 * S^-2 * R * S ] R289.209 : Type {6,30}_40 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] R289.210 : Type {6,57}_152 Order 3648 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^2 * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 * R^2 * S^-1, R^2 * S^-1 * R * S^8 * R^-2 * S * R^-2 * S^4 * R^-1 * S^-5 ] R289.211 : Type {6,75}_300 Order 3600 mV = 25 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-75 ] R289.212 : Type {6,99}_66 Order 3564 mV = 33 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S, S^-17 * R * S * R^-1 * S^-4 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-8 ] R289.213 : Type {6,99}_66 Order 3564 mV = 33 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^-17 * R * S^3 * R^-1 * S^-13 ] R289.214 : Type {6,99}_198 Order 3564 mV = 33 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S, S^-17 * R^-1 * S * R^-2 * S^4 * R^-2 * S^5 * R * S^-6 ] R289.215 : Type {6,99}_198 Order 3564 mV = 33 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-99 ] R289.216 : Type {6,219}_292 Order 3504 mV = 73 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-37 * R * S * R^-1 * S^-4 * R * S * R^-1 * S^-30 ] R289.217 : Type {6,291}_582 Order 3492 mV = 97 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-291 ] R289.218 : Type {6,867}_578 Order 3468 mV = 867 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-145 * R^2 * S^-144 ] R289.219 : Type {7,28}_4 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ R^7, 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^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-2 * R^2 * S^-1 * R)^2 ] R289.220 : Type {7,28}_4 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ R^7, 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 * R^2 * S^-1 * R^2)^2, (R * S^-4 * R^2)^2 ] R289.221 : Type {7,28}_8 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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, (R * S^-1 * R^2 * S^-1 * R^2)^2 ] R289.222 : Type {7,28}_8 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ R^7, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-4 * R^2)^2 ] R289.223 : Type {8,8}_6 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R289.224 : Type {8,8}_6 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R289.225 : Type {8,8}_6 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, 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^2 * S * R^-1 * S^-1 * R * S ] R289.226 : Type {8,8}_6 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R289.227 : Type {8,8}_6 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-2 * R^-3 * S * R^3 * S * R^-3 * S^-2, S^2 * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R289.228 : Type {8,8}_6 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R * S^-2 * R^-3 * S * R^3 * S * R^-3 * S^-2 ] R289.229 : Type {8,8}_6 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6 ] R289.230 : Type {8,8}_6 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ] R289.231 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R289.232 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-2 * S * R * S^-1 * R^-3 * S * R^-1 * S^4 * R^-1 * S ] R289.233 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, (R * S^-1 * R)^4, (R * S^-1)^6, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R289.234 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-4 * R^4 * S^4 * R^-3 ] R289.235 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S, S^2 * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R289.236 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-2 * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S ] R289.237 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6 ] R289.238 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S, (R * S^-1)^6, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 * S ] R289.239 : Type {8,8}_12 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R * S^2 ] R289.240 : Type {8,8}_12 Order 4608 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-1 * R * S^2 ] R289.241 : Type {8,8}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-3 * S * R^-2 * S * R^-3 * S^-2 * R^-1 * S ] R289.242 : Type {8,8}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, 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^-3 * S * R^-1 * S^-1 * R^3 * S^2 * R^-2 * S ] R289.243 : Type {8,8}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ] R289.244 : Type {8,8}_12 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6 ] R289.245 : Type {8,8}_24 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 ] R289.246 : Type {8,8}_24 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S^2 * R * T * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * T * R^-1 * S^-2 ] R289.247 : Type {8,8}_24 Order 4608 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R^2 * S^4 * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, 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 ] R289.248 : Type {8,8}_24 Order 4608 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, R * S^-1 * 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 * R * S^-1 ] R289.249 : Type {8,8}_24 Order 4608 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, (R * S^-1)^12 ] R289.250 : Type {8,8}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, 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^-3 * S * R^-2 * S * R^-3 * S^-2 * R^-1 * S ] R289.251 : Type {8,8}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-3 * S * R^-1 * S^-1 * R^3 * S^2 * R^-2 * S ] R289.252 : Type {8,8}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S ] R289.253 : Type {8,8}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S * R^-2 * S^-2 ] R289.254 : Type {8,8}_24 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R * S^2 ] R289.255 : Type {8,8}_24 Order 4608 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^12 ] R289.256 : Type {8,8}_24 Order 4608 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * 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^2 * R^-1 * S^-2 * R * S^-1 ] R289.257 : Type {8,8}_24 Order 4608 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^-1 * S^2 * R^2 * S^2 * R * 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 * R^-1 * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^2 * S^2 * R^-1 ] R289.258 : Type {8,8}_24 Order 4608 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-1 * 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 * R * S^-1 ] R289.259 : Type {8,8}_48 Order 4608 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^-1 * S^2 * R^2 * S^2 * R * 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 * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-2 * S^-1 * R * S^2 * R^2 * S^2 * R^-1 ] R289.260 : Type {8,24}_6 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^2 * S^-2 * R * S^-1 * R^-2 * S^-5 * R * S^2 ] R289.261 : Type {8,24}_6 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-5 * R^3 * S^2 * R^-1 * S^-1 * R^2 ] R289.262 : Type {8,24}_6 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6 ] R289.263 : Type {8,24}_12 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, 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^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-5 * R * S^2 ] R289.264 : Type {8,24}_12 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-5 * R^-2 * S^-5 * R * S^2, R * S^-1 * R^-1 * S^5 * R^-2 * S^-6 ] R289.265 : Type {8,24}_12 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-2 * R^3 * S^2 * R^-1 * S^-2 * R, R * S^-1 * R^-1 * S^5 * R^-2 * S^-6 ] R289.266 : Type {8,24}_12 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R^2 ] R289.267 : Type {8,24}_12 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^5 * R^-4 * S^7, R^-1 * S * R^2 * S^2 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R289.268 : Type {8,24}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^24 ] R289.269 : Type {8,24}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^6 * R^-2 * S^-5 * R * S * R^-1, R * S^-1 * R^-1 * S^5 * R^-2 * S^6 ] R289.270 : Type {8,24}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R^-3 * S^-5 * R * S^2 ] R289.271 : Type {8,24}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^5 * R^3 * S^5 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R289.272 : Type {8,24}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, S^6 * R^-2 * S^-5 * R * S * R^-1 ] R289.273 : Type {8,24}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R * S^-1 * R^2 * S^3 * R^-2 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R289.274 : Type {8,24}_24 Order 3456 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6 ] R289.275 : Type {8,24}_24 Order 3456 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^24 ] R289.276 : Type {8,24}_24 Order 3456 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R289.277 : Type {8,24}_24 Order 3456 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^6, (R * S^-5)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R^2 * S^-1 ] R289.278 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.279 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R289.280 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, (R * S^-1)^6 ] R289.281 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S * R^-1 * S^-1 * R * S^2 ] R289.282 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^2 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^2 * R^-1 * S * R^-1 ] R289.283 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^24 ] R289.284 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R289.285 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, (R * S^-1)^6, S^24 ] R289.286 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^5 * R^-4 * S^7, R^-1 * S * R^2 * S^2 * R^-1 * S * R^2 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-2 * S^2 ] R289.287 : Type {8,24}_24 Order 3456 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-3 ] R289.288 : Type {8,88}_66 Order 3168 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^-9 * R^-1 * S^4 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-5 ] R289.289 : Type {8,88}_132 Order 3168 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, S^-9 * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-5 ] R289.290 : Type {10,10}_6 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-3 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-2 * R^4 * S^-2 * R * S^3 ] R289.291 : Type {10,10}_6 Order 3840 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6 ] R289.292 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, R * S^-1 * R^-1 * S * R^-3 * S * R^-1 * S^-1 * R * S^2, R * S^-1 * R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R289.293 : Type {12,12}_4 Order 3456 mV = 1 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^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2 ] R289.294 : Type {12,12}_6 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 * R, 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, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 ] R289.295 : Type {12,12}_6 Order 3456 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^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12, (S^-1 * R^2 * S^-1)^3, S^12 ] R289.296 : Type {12,12}_8 Order 3456 mV = 1 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^12, (R * S^-1 * R)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2 ] R289.297 : Type {12,12}_8 Order 3456 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^-3 * R * S^4, R^12, (R * S^-2 * R^3)^2 ] R289.298 : Type {12,12}_8 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, (R * S^-2 * R^3)^2, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] R289.299 : Type {12,12}_12 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S * R * S^-1 * R^4 * S * R^-1 * S^3, (R * S^-1)^6 ] R289.300 : Type {12,12}_12 Order 3456 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^-2 * R^3)^2, S^2 * R^3 * S^-1 * R^-4 * S^-3 * R * S^2 ] R289.301 : Type {12,12}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R * S^-3 * R^2 * S^-3 * R * S, S^12, S * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] R289.302 : Type {12,12}_12 Order 3456 mV = 1 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, R^12, (R * S^-1 * R^4)^2, S^12 ] R289.303 : Type {12,12}_12 Order 3456 mV = 1 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^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^12, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2 ] R289.304 : Type {12,12}_12 Order 3456 mV = 2 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, R^12, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-3, S^12 ] R289.305 : Type {12,12}_12 Order 3456 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^12 ] R289.306 : Type {12,12}_12 Order 3456 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 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 * R * S ] R289.307 : Type {12,12}_24 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R * S^-1 * R^4 * S * R^-1 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R289.308 : Type {12,12}_24 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R * S^-1 * R^4 * S * R^-1 * S^3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R289.309 : Type {12,12}_24 Order 3456 mV = 1 mF = 1 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, R^12, S^12, R * S^-3 * R^4 * S^2 * R^-1 * S^-1 * R^2 ] R289.310 : Type {12,12}_24 Order 3456 mV = 1 mF = 1 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, R^12, S * R * S^-1 * R^4 * S^2 * R^-3, S^12 ] R289.311 : Type {12,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R^3 * S^-1 * R^3 * S^-5 ] R289.312 : Type {12,12}_24 Order 3456 mV = 1 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^-1 * S * R^3 * S * R^-1 * S^2 * R^-1, S^12 ] R289.313 : Type {12,12}_24 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^12, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2 ] R289.314 : Type {12,12}_24 Order 3456 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^3 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 ] R289.315 : Type {12,12}_24 Order 3456 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)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^-3 * R * S, S^12 ] R289.316 : Type {12,12}_24 Order 3456 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^3 * R^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R289.317 : Type {12,12}_24 Order 3456 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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 ] R289.318 : Type {12,12}_24 Order 3456 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-3 * R^3 * S^2 * R^-1 * S^-1 * R, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R289.319 : Type {12,12}_24 Order 3456 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, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R289.320 : Type {12,12}_24 Order 3456 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, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R289.321 : Type {12,12}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^12, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-3 ] R289.322 : Type {12,12}_24 Order 3456 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)^12 ] R289.323 : Type {12,12}_24 Order 3456 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)^12 ] R289.324 : Type {12,12}_24 Order 3456 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^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S^2 * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R289.325 : Type {12,12}_24 Order 3456 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^12, (R * S^-1 * R^4)^2, S^12, R^-1 * S^2 * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 ] R289.326 : Type {12,24}_4 Order 3072 mV = 1 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^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R289.327 : Type {12,24}_4 Order 3072 mV = 1 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^12, S^-2 * R^5 * S^-3 * R * S^-1 ] R289.328 : Type {12,24}_4 Order 3072 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^12, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R289.329 : Type {12,24}_4 Order 3072 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, R^12, (R * S^-2 * R^3)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1 * R)^2 ] R289.330 : Type {12,24}_4 Order 3072 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, R^12, (R * S^-2 * R^3)^2, (R * S^-3 * R^2)^2, (R * S^-3 * R * S^-1)^2 ] R289.331 : Type {12,24}_4 Order 3072 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^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, S^4 * R^4 * S^4 * R^-2 ] R289.332 : Type {12,24}_4 Order 3072 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^12, (R * S^-1 * R^4)^2, (R * S^-2)^4, (R * S^-5)^2, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R289.333 : Type {12,24}_4 Order 3072 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^12, (R * S^-1 * R^4)^2, (R * S^-2)^4, (R * S^-5)^2, S^2 * R^-1 * S * R^4 * S^2 * R^-1 * S * R^-2 ] R289.334 : Type {12,24}_4 Order 3072 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^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-2)^4 ] R289.335 : Type {12,24}_4 Order 3072 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^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-2)^4 ] R289.336 : Type {12,24}_4 Order 3072 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^12, (R * S^-1 * R^4)^2, (R * S^-2 * R * S^-1 * R)^2 ] R289.337 : Type {12,24}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-4 * R)^2, (S * R^-1 * S)^4, S * R * S^-1 * R^5 * S^3 * R^-1 * S * R^-1 ] R289.338 : Type {12,24}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-3 * R * S^-1, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2 ] R289.339 : Type {12,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S * R * S^-3 * R^3 * S^4 * R^-2 ] R289.340 : Type {12,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R289.341 : Type {12,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-2 * R^3)^2, R^3 * S^-1 * R^3 * S^-5, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R289.342 : Type {12,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-3 * R * S^-1, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-4 * R)^2 ] R289.343 : Type {12,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R289.344 : Type {12,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-2 * R^5 * S^-3 * R * S^-1, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S ] R289.345 : Type {12,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-2 * R^3)^2, R^3 * S^-1 * R^3 * S^-5, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R289.346 : Type {12,24}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2)^4, S^-1 * R * S^-1 * R^-4 * S^3 * R^-1 * S^-1 * R ] R289.347 : Type {12,24}_8 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, (R * S^-2)^4 ] R289.348 : Type {12,24}_8 Order 3072 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, R^12, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^-2 ] R289.349 : Type {12,24}_8 Order 3072 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, R^12, S^-3 * R^4 * S^-5, (R * S^-2)^4, R^-1 * S^3 * R * S^-1 * R^2 * S * R^-1 * S^-2 * R * S ] R289.350 : Type {12,24}_8 Order 3072 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^-3 * R^4 * S^-5, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ] R289.351 : Type {12,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2 ] R289.352 : Type {12,24}_8 Order 3072 mV = 4 mF = 1 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^12, S * R^3 * S^-1 * R^3 * S * R^-2 * S * R^-2 ] R289.353 : Type {12,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R * S^-1 * R^2)^2, 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, (R * S^-4 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (S * R^-1 * S)^4, S * R * S^-1 * R^5 * S * R^-4 * S ] R289.354 : Type {12,24}_8 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-2 * R * S^-1 * R)^2 ] R289.355 : Type {12,24}_8 Order 3072 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, (R * S^-2)^4 ] R289.356 : Type {12,24}_8 Order 3072 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, R^12, R^3 * S^-1 * R^3 * S^-5, (R * S^-2)^4 ] R289.357 : Type {12,24}_8 Order 3072 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R289.358 : Type {12,24}_8 Order 3072 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, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R289.359 : Type {12,24}_8 Order 3072 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S^-1 * R^2 * S^-1 * R^-4 * S * R^-1 * S * R^-1 * S^-2 * R^2 ] R289.360 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-3 * R^4 * S * R^-2 * S^-2, (R * S^-2)^4 ] R289.361 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-2)^4, S * R^-2 * S * R^4 * S^6 ] R289.362 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^4 * R^4 * S^4 * R^-2 ] R289.363 : Type {12,24}_8 Order 3072 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^12, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-2)^4 ] R289.364 : Type {12,24}_8 Order 3072 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^12, (R * S^-2 * R * S^-1 * R)^2 ] R289.365 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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^-2 * R * S^-1 * R)^2, S^4 * R^4 * S^4 * R^-2 ] R289.366 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-2)^4, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R289.367 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-2 * R * S^-1 * R)^2 ] R289.368 : Type {12,24}_8 Order 3072 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^12, (R * S^-1 * R)^4, (R * S^-4 * R)^2 ] R289.369 : Type {12,24}_8 Order 3072 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^12, (R * S^-4 * R)^2, (R * S^-2)^4 ] R289.370 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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^-4 * R)^2, S^2 * R^-1 * S * R^4 * S^2 * R^-1 * S * R^-2 ] R289.371 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-4 * R)^2 ] R289.372 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-3 * R^2)^2, (R * S^-1 * R)^4 ] R289.373 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-1 * R)^4 ] R289.374 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S * R^-2 * S * R^4 * S * R^-2 * S * R^-2 ] R289.375 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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^-3 * R * S^-1)^2 ] R289.376 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, 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^4 * S^2 * R^-1 * S * R^-2 ] R289.377 : Type {12,24}_8 Order 3072 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^12, (R * S^-3 * R * S^-1)^2, (R * S^-2)^4, (R * S^-5)^2 ] R289.378 : Type {12,24}_8 Order 3072 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^12, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-2)^4 ] R289.379 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-3 * R * S^-1)^2 ] R289.380 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2, (R * S^-4 * R)^2 ] R289.381 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-4 * R)^2 ] R289.382 : Type {12,24}_8 Order 3072 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, (R * S^-2)^4, (R * S^-5)^2 ] R289.383 : Type {12,24}_8 Order 3072 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, (R * S^-2)^4 ] R289.384 : Type {12,24}_8 Order 3072 mV = 4 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^4, R^12, (R * S^-1 * R^4)^2, (R * S^-2)^4 ] R289.385 : Type {12,24}_8 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] R289.386 : Type {12,24}_8 Order 3072 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, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R289.387 : Type {12,24}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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^-1 * R^-4 * S^3 * R^-1 * S^-1 * R, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R289.388 : Type {12,24}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R289.389 : Type {12,24}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, 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^-1 * R^-4 * S^3 * R^-1 * S^-1 * R, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R289.390 : Type {12,24}_16 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] R289.391 : Type {12,24}_16 Order 3072 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^-3 * R^4 * S^-5 ] R289.392 : Type {12,24}_16 Order 3072 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, R^12, S^-3 * R^4 * S^-5, (R * S^-2)^4, R^-1 * S^3 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 ] R289.393 : Type {12,24}_16 Order 3072 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, R^12, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1, S^2 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-2 ] R289.394 : Type {12,24}_16 Order 3072 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^5 * S^2 * R^-1 * S^-2, (R * S^-1 * R)^4 ] R289.395 : Type {12,24}_16 Order 3072 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, R^-2 * S^2 * R^4 * S^2 * R^-2 * S^2 ] R289.396 : Type {12,24}_16 Order 3072 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^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, (R * S^-1 * R)^4 ] R289.397 : Type {12,24}_16 Order 3072 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^3 * S^2 * R^-2, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R289.398 : Type {12,24}_16 Order 3072 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^3 * S^2 * R^-2, R^12, (R * S^-1 * R^4)^2, S * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S, S^4 * R * S^-1 * R^2 * S^4 * R^-1 * S ] R289.399 : Type {12,24}_16 Order 3072 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^3 * S^2 * R^-2, R^12, (R * S^-1 * R^4)^2, S^2 * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R289.400 : Type {12,24}_16 Order 3072 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 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R289.401 : Type {12,24}_16 Order 3072 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^12, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S * R * S^-5 * R * S^6 ] R289.402 : Type {12,24}_16 Order 3072 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 * R^2 * S^3 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R289.403 : Type {12,24}_16 Order 3072 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^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R289.404 : Type {12,24}_16 Order 3072 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^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] R289.405 : Type {12,24}_16 Order 3072 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^-1 * S * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.406 : Type {12,24}_16 Order 3072 mV = 8 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^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4 ] R289.407 : Type {12,24}_16 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, (R * S^-1 * R^4)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] R289.408 : Type {12,28}_42 Order 3024 mV = 7 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)^2, R^12, (R * S^-1)^6, R^-1 * S^5 * R * S^-1 * R^-2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R289.409 : Type {12,28}_42 Order 3024 mV = 7 mF = 3 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, R^12, (R * S^-1)^6, R^-1 * S^5 * R * S^-1 * R^-2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R289.410 : Type {12,60}_4 Order 2880 mV = 12 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^12, (R * S^-1 * R^4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R289.411 : Type {12,60}_6 Order 2880 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, R^12, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] R289.412 : Type {12,60}_8 Order 2880 mV = 12 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^12, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R289.413 : Type {12,60}_10 Order 2880 mV = 12 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 * R * S^-4 * R * S^5, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S ] R289.414 : Type {12,60}_10 Order 2880 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, R^12, S * R * S^-4 * R^2 * S^5 * R^-1, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S ] R289.415 : Type {12,60}_12 Order 2880 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^12, (R * S^-1 * R^4)^2, S^3 * R^4 * S^3 * R^-2, S * R * S^-3 * R^2 * S * R^-1 * S^3 ] R289.416 : Type {12,60}_12 Order 2880 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, R^12, S^4 * R^3 * S^4 * R^-1, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 ] R289.417 : Type {12,60}_24 Order 2880 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S ] R289.418 : Type {12,60}_30 Order 2880 mV = 10 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^15 * R^-4 * S^2 * R^-1 * S^-4 * R^-1 * S^9 ] R289.419 : Type {12,60}_30 Order 2880 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^3 * R^-2, S^3 * R^5 * S^4 * R^-1 * S ] R289.420 : Type {12,60}_30 Order 2880 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-3 * R^3 * S^2 * R^-1 * S^-1 * R ] R289.421 : Type {12,60}_30 Order 2880 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 * S^-1 * R * S^2 * R^-1 * S, 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^-3 * R^2 * S^4 * R^-1, S^2 * R * S^-1 * R^-4 * S^-5 * R * S^2 ] R289.422 : Type {12,60}_30 Order 2880 mV = 15 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^15 * R^2 * S^5 * R^-2 * S * R^2 * S^9 ] R289.423 : Type {12,60}_30 Order 2880 mV = 20 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^-2 * R^2 * S^3 * R^-1, R^12, S^15 * R * S^-2 * R * S^13 ] R289.424 : Type {12,60}_60 Order 2880 mV = 5 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^60 ] R289.425 : Type {12,60}_60 Order 2880 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-2 * R^-1 * S * R * S^-1 * R^-3 * S^2 * R^-1 * S^-4 ] R289.426 : Type {12,60}_60 Order 2880 mV = 10 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^60 ] R289.427 : Type {12,60}_60 Order 2880 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^12, S^10 * R * S^-3 * R * S^7 ] R289.428 : Type {12,60}_60 Order 2880 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 * S^-1 * R * S^2 * R^-1 * S, 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^-3 * R^2 * S^4 * R^-1, R^-1 * S^3 * R * S^-1 * R^2 * S^-6 ] R289.429 : Type {12,60}_60 Order 2880 mV = 15 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^15 * R^2 * S^2 * R^-1 * S^-1 * R * S^12 ] R289.430 : Type {12,60}_60 Order 2880 mV = 15 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^60 ] R289.431 : Type {12,60}_60 Order 2880 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, S^15 * R * S^-2 * R * S^13 ] R289.432 : Type {12,60}_60 Order 2880 mV = 20 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^60 ] R289.433 : Type {12,60}_120 Order 2880 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R^3 * S^-2 * R * S * R^-1, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] R289.434 : Type {12,60}_120 Order 2880 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^15 * R * S^-1 * R * S^4 * R^-1 * S^-3 * R^-3 * S^7 ] R289.435 : Type {12,348}_116 Order 2784 mV = 174 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^58 * R * S^-3 * R * S^55 ] R289.436 : Type {15,30}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R * S^-1 * R^-5 * S^-1 * R^2 * S^-2 * R ] R289.437 : Type {15,30}_12 Order 2880 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^4 * S * R^-3 * S, S * R * S^-2 * R^3 * S * R^-2 * S^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-15 ] R289.438 : Type {15,30}_24 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-3 ] R289.439 : Type {15,30}_24 Order 2880 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^-15, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-2 * S^-1 ] R289.440 : Type {20,20}_4 Order 2880 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, (R * S^-3 * R^2)^2, (S^-1 * R^2 * S^-1)^3, R^3 * S^-1 * R^4 * S^-2 * R * S^-2 * R ] R289.441 : Type {20,20}_4 Order 2880 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, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 ] R289.442 : Type {20,20}_8 Order 2880 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)^5, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R289.443 : Type {20,20}_8 Order 2880 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^4 * S^-1 * R * S^-3, (R^3 * S^-1)^3 ] R289.444 : Type {20,20}_10 Order 2880 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^4, (R * S^-1 * R)^4 ] R289.445 : Type {20,20}_10 Order 2880 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^-1 * R^5 * S^-4, (R * S^-1 * R)^4 ] R289.446 : Type {20,20}_12 Order 2880 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^-1 * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 * R^-2, R^-3 * S * R^-1 * S * R^-8 * S^2 * R^-1 * S^2 * R^-1 ] R289.447 : Type {24,72}_6 Order 2592 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^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, R * S^-2 * R^4 * S^-2 * R * S^2, S^-2 * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S^2 * R^-1 * S^-1 * R ] R289.448 : Type {24,72}_6 Order 2592 mV = 12 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 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6, R^-1 * S^2 * R^-2 * S * R^-16 * S * R^-1 ] R289.449 : Type {24,72}_6 Order 2592 mV = 24 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^7 * S * R^-5, R * S^-2 * R * S^-1 * R * S^-2 * R^8 * S^-2 * R * S^-1 * R * S^-2 * R ] R289.450 : Type {24,72}_6 Order 2592 mV = 24 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 * S^-2 * R^2 * S^3 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-1 * R * S^-2 * T * R^-2 * S * R^-1 * S * R^-8 * S * T * S^-1 * R * S^-1 * R^2 ] R289.451 : Type {24,72}_12 Order 2592 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^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-3, S^-2 * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S^2 * R^-1 * S^-1 * R ] R289.452 : Type {24,72}_12 Order 2592 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^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^8 * S^-1 * R^2 * S^-1, S * R * S^-5 * R * S^6 ] R289.453 : Type {24,72}_12 Order 2592 mV = 24 mF = 4 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^-2 * R^2 * S^3 * R^-1, S * R^7 * S * R^-5, S * R * S^-5 * R * S^6, R^-1 * S * R * S^-1 * R^-5 * S * R^-2 * S^3 * R^-1 ] R289.454 : Type {24,72}_12 Order 2592 mV = 24 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 * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R^-4 * S * R^-2 * S^2 * R^-1 ] R289.455 : Type {24,72}_18 Order 2592 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^7 * S * R^-5, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R289.456 : Type {24,72}_18 Order 2592 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^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R289.457 : Type {24,72}_18 Order 2592 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^7 * S * R^-5, R^4 * S^-1 * R^10 * S^-1 * R^5 * S^-2 * R, S^-3 * R^-1 * S^6 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S * R * S^-3 ] R289.458 : Type {24,72}_18 Order 2592 mV = 24 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 * S^-2 * R^19 * S^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R289.459 : Type {24,72}_18 Order 2592 mV = 24 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 * S^-2 * R^2 * S^3 * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^-1 * S^2 * R^-1 * S * R^-13 * S^2 * R^-1 * S^3 ] R289.460 : Type {24,72}_36 Order 2592 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^7 * S * R^-5, S^2 * R * S^-1 * R^-1 * S * R * S^-5 * R^-1 * S^6 * R^-1 * S^-1 * R * S^2 ] R289.461 : Type {24,72}_36 Order 2592 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^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S^3 * R^4 * S^3 * R^-2 ] R289.462 : Type {24,72}_36 Order 2592 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^7 * S * R^-5, R^4 * S^-1 * R^10 * S^-1 * R^5 * S^-2 * R, S^9 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S^4 ] R289.463 : Type {24,72}_36 Order 2592 mV = 24 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 * S^-2 * R^19 * S^-1, S^9 * R * S^-2 * R * S^7 ] R289.464 : Type {24,72}_36 Order 2592 mV = 24 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 * S^-2 * R^2 * S^3 * R^-1, R * S^-1 * R^2 * S^-1 * R^2 * S^-4 * R ] R289.465 : Type {28,28}_6 Order 2688 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^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] R289.466 : Type {28,28}_12 Order 2688 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)^2, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R289.467 : Type {36,36}_4 Order 2592 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 * S^-1 * R^4 * S^-1 * R * S^-3, S * R^2 * S^-1 * R^3 * S^3 * R^-1 * S, S^-2 * R^-9 * S^-7 ] R289.468 : Type {36,36}_4 Order 2592 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^9 * S^-8 ] R289.469 : Type {36,36}_4 Order 2592 mV = 9 mF = 6 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^7 * S * R^-5, R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-3 * S * R^-12 * S^2 * R^-2 * S * R^-3 * S ] R289.470 : Type {36,36}_12 Order 2592 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^4 * S * R^-1 * S^3, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^4 * R^-5 * S * R^-2 * S^2 * R^-1 * S^2 ] R289.471 : Type {36,36}_12 Order 2592 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^5 * S^-1 * R * S^3, R^3 * S^-1 * R^3 * S^-5, R^-2 * S^2 * R^3 * S^2 * R^-2 * S ] R289.472 : Type {36,36}_12 Order 2592 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, S^-2 * R^5 * S^-2 * R * S^-1 * R, S^-2 * R^-1 * S^4 * R^6 * S^4 * R^-1 * S^-2 ] R289.473 : Type {36,36}_12 Order 2592 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^3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R * S^-3 * R^4 * S * R^-1 * S^-1 * R * S^2 ] R289.474 : Type {36,36}_12 Order 2592 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^7 * S * R^-5, S * R * S^-5 * R * S^6, S * R^-1 * S * R^-2 * S * R^-1 * S^3 * R^-3 * S * R^-8 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 ] R289.475 : Type {36,36}_12 Order 2592 mV = 6 mF = 6 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, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^7 * S * R^-5, S^3 * R^-2 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S * R^-8 * S * R^-3 * S^3 * R^-1 * S * R^-4 ] R289.476 : Type {36,36}_12 Order 2592 mV = 6 mF = 6 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, R^3 * S^-1 * R^3 * S^-5, S * R^7 * S * R^-5 ] R289.477 : Type {36,36}_12 Order 2592 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^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S * R^-1 * S^3 * R^-1 * S^6 * R^-10 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R289.478 : Type {36,36}_12 Order 2592 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, S * R * S^-3 * R * S^4, R^8 * S^-4, (R * S^-2)^4, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.479 : Type {36,36}_36 Order 2592 mV = 18 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^3 * R^-3 * S * R^-6 * S * R^-11 * S * R^-6 * S^2 * R^-2, R^36 ] R289.480 : Type {36,36}_36 Order 2592 mV = 18 mF = 18 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^36, S^36 ] R289.481 : Type {36,612}_34 Order 2448 mV = 612 mF = 18 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^-2 * S^3 * R^-1 * S^3 * R^-24 * S, S^-2 * R^-1 * S^16 * R^-1 * S^-16 ] R289.482 : Type {39,78}_8 Order 2496 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^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, S^5 * R^-3 * S^4 * R^-3 * S^2 * R^-11 * S * R^-1 * S^6 * R^-1 * S^2 ] R289.483 : Type {40,40}_4 Order 2560 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^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-2 * R * S^-3 * R^5 * S^-3 * R * S^-1 * R * S^-4 * R * T * R^-1 * S * R^-9 * S * R^-2 * T * R * S^-3 ] R289.484 : Type {40,40}_4 Order 2560 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^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^-4 * S^3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-19 ] R289.485 : Type {40,40}_4 Order 2560 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^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^7 * S^2 * R^-3 * S, S * R^3 * S^-1 * R^3 * S^2 * R^-1 * S * R^-1 * S, R * S^-1 * R * S^-1 * R^3 * S^-1 * R^6 * S^-1 * R * S^-4 ] R289.486 : Type {40,40}_4 Order 2560 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^6 * S * R^-4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-1 * R^12 * S^-1 * R * S^-1 * R^2 * S^-1 ] R289.487 : Type {40,40}_4 Order 2560 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^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S^-1 * R * S^-4 * R * S^-1 * R^10 * S^-2 ] R289.488 : Type {40,40}_4 Order 2560 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^6 * S^2 * R^-2 * S, R^-1 * S * R^-3 * S * R^-6 * S * R^-4 * S * T * S^-1 * R^8 * S^-2 * R^3 * T * R^-1 * S^2 * R^-4 * S ] R289.489 : Type {40,40}_8 Order 2560 mV = 5 mF = 5 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^-1 * S^3 * R^6 * S^3 * R^-1 * S^-2, S^5 * R^-2 * S^2 * R^-1 * S * R^-1 * S^3 * R^-3 * S * R^-8 * S * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R289.490 : Type {40,40}_8 Order 2560 mV = 5 mF = 5 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^-1 * S^2 * R^-4 * S * R^-9 * S * R^-9 * S * R^-1 * S^3 * R^-1 * S^2 * R^-3 * S^2 ] R289.491 : Type {40,40}_8 Order 2560 mV = 5 mF = 5 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, S^-1 * R^11 * S^-2 * R^3 * S^-2 * R * S^-2 * R^8 * S^-3 * R^2 * S^-1 * R * S^-1 * R^2 ] R289.492 : Type {40,40}_8 Order 2560 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^3 * R^-1, R^3 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-6 * R * S^-1 * R * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R^2 ] R289.493 : Type {40,40}_8 Order 2560 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R * S^-2 * R^3 * S * R^-2 * S^2, R^-1 * S * R^-1 * S^2 * R^-1 * S^3 * R^-5 * S^3 * R^-1 * S^2 ] R289.494 : Type {40,40}_8 Order 2560 mV = 8 mF = 8 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 * S^-14 * R^2 * S^-2 * R * S^-2 * R^2 * S^-1 * R^11 * S^-4 ] R289.495 : Type {40,40}_8 Order 2560 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R * S^-2 * R^3 * S * R^-2 * S^2, S^-1 * R^2 * S^-3 * R * S^-1 * R^7 * S^-2 * R^3 ] R289.496 : Type {40,40}_8 Order 2560 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^2 * S^-1 * R^2 * S^-2 * R * S^-1, S * R^6 * S * R^-4 ] R289.497 : Type {40,40}_8 Order 2560 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 * S^-1 * R^3 * S^-1 * R * S^-2, S * R^6 * S * R^-4 ] R289.498 : Type {40,40}_8 Order 2560 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^5 * S^-4, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R289.499 : Type {40,40}_8 Order 2560 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)^5, S * R^6 * S * R^-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 ] R289.500 : Type {40,40}_8 Order 2560 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, R^-1 * S * R^-1 * S^3 * R^-2 * S * R^-6 * S^2 * R^-2 * S ] R289.501 : Type {40,40}_8 Order 2560 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S * R^-4, S * R * S^-2 * R^3 * S * R^-2 * S^2, R * S^-1 * R^2 * S^-2 * R^9 * S^-2 * R^2 * S^-1 ] R289.502 : Type {40,40}_8 Order 2560 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^4 * S * R^-3 * S, S * R * S^-2 * R^3 * S * R^-2 * S^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^3 * S^-1 * T * R^-10 * S * R^-3 * T * S^-2 ] R289.503 : Type {40,40}_8 Order 2560 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^4 * S * R^-3 * S, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^-1 * S^3 * R^-1 * S^2 * R^-7 * S^2 * R^-1 * S^3 ] R289.504 : Type {40,40}_8 Order 2560 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^3 * S * R^-2 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-3 * S * R^-2 * S * R^-2 * S * R^-2 * S^2 * R^-2 * S * R^-2 * S * R^-1 * S^2 * R^-6 * S * R^-4 * S * R^-3 * S * R^-1 ] R289.505 : Type {40,40}_8 Order 2560 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 * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^4 * S^-1 * R^6 * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 ] R289.506 : Type {40,40}_8 Order 2560 mV = 10 mF = 5 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^7 * S^3 * R^-1 * S^2, S * R^-2 * T * R^2 * S^-2 * R^7 * S^-1 * R^2 * T * R^-1 * S^2 ] R289.507 : Type {40,40}_8 Order 2560 mV = 10 mF = 5 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^7 * S^3 * R^-1 * S^2, S^-1 * R^2 * S^-1 * R^9 * S^-2 * R^5 ] R289.508 : Type {40,40}_8 Order 2560 mV = 10 mF = 5 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^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^7 * S^3 * R^-1 * S^2, S * R^-1 * S * R^-4 * S * R^-5 * S^2 * R^-3 * S * R^-1 ] R289.509 : Type {40,40}_8 Order 2560 mV = 10 mF = 10 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, S * R^-1 * S^2 * R^-3 * S * R^-2 * S^3 * R^-1 * S * R^-2 * S^3 * R^-9 * S * R^-5 * S * R^-3 * S ] R289.510 : Type {40,40}_8 Order 2560 mV = 10 mF = 10 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, S^-1 * R^4 * S^-1 * R * S^-4 * R^18 * S^-1 * R^2 * S^-5 * R^3 ] R289.511 : Type {40,40}_8 Order 2560 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S^-1 * R^3 * S^-4 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^-1 * R^8 * S^-1 * R * S^-1 * R^3 * S^-1 * R^2 * S^-3 * R ] R289.512 : Type {40,40}_8 Order 2560 mV = 10 mF = 10 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^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R, S * R^-2 * S^2 * R^-9 * S * R^-1 * S^2 * R^-2 ] R289.513 : Type {40,40}_16 Order 2560 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^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R, R^2 * S^-2 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 ] R289.514 : Type {51,102}_12 Order 2448 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^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S * R^-3 * S^3 * R^-1 * S * R^-9 * S^2 * R^-1 * S * R^-2 * S^2 * R^-1 * S * R^-1 ] R289.515 : Type {68,68}_6 Order 2448 mV = 17 mF = 17 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 * R^-32 * S^2 * R^-2 * S * R^-3 * S * R^-1 * S * R^-8 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R289.516 : Type {70,595}_34 Order 2380 mV = 595 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^6 * R^-2 * S * R^-16 * S^10 ] R289.517 : Type {76,76}_8 Order 2432 mV = 19 mF = 19 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^-39 * S^2 * R^-1 * S^3 * R^-1 * S^5 * R^-11 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R289.518 : Type {132,132}_6 Order 2376 mV = 33 mF = 33 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 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^2 * S^-1 * R * S^-1 * R * S^-1 * R^7 * S^-3 * R * S^-3 * R ] R289.519 : Type {132,132}_6 Order 2376 mV = 33 mF = 33 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 * R^-1 * S * R^-30 * S^2 * R^-1 * S^7 * R^-9 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R289.520 : Type {147,294}_4 Order 2352 mV = 98 mF = 49 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^121 * R^-1 * S^2 * R^-2 * S * R^-16 * S ] R289.521 : Type {148,148}_4 Order 2368 mV = 37 mF = 37 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^-112 * S * R^-2 * S * R^-4 * S^2 * R^-11 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^3 ] R289.522 : Type {195,390}_6 Order 2340 mV = 195 mF = 65 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^130 * R^-1 * S^17 * R^-6 * S * R^-14 * S * R^-6 * S^19 ] R289.523 : Type {292,292}_4 Order 2336 mV = 146 mF = 146 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^225 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-38 * S ] R289.524 : Type {579,1158}_2 Order 2316 mV = 1158 mF = 579 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^277 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-282 ] R289.525 : Type {580,580}_2 Order 2320 mV = 580 mF = 580 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^283 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-277 * R ] R289.526 : Type {1156,1156}_2 Order 2312 mV = 1156 mF = 1156 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^282 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-276 * R ] Genus 290 R290.1 : Type {4,582}_1164 Order 4656 mV = 291 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^582 ] R290.2 : Type {4,1160}_1160 Order 4640 mV = 1160 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^290 * R^2 * S^290 ] R290.3 : Type {6,6}_34 Order 6936 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R290.4 : Type {6,292}_876 Order 3504 mV = 146 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^292 ] R290.5 : Type {6,870}_290 Order 3480 mV = 870 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^145 * R^2 * S^145 ] R290.6 : Type {8,8}_34 Order 4624 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, S^2 * R * S^-2 * R^-1 * S * R^-3 * S * R^-1 * S^-2 * R * S ] R290.7 : Type {8,99}_396 Order 3168 mV = 33 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-99 ] R290.8 : Type {8,388}_776 Order 3104 mV = 194 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^97 * R^3 * S^-6 * R * S^91 ] R290.9 : Type {12,118}_708 Order 2832 mV = 59 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^118 ] R290.10 : Type {12,696}_232 Order 2784 mV = 696 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^58 * R^2 * S^58 ] R290.11 : Type {22,60}_660 Order 2640 mV = 30 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^60 ] R290.12 : Type {22,638}_58 Order 2552 mV = 638 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^29 * R * S^-6 * R * S^23 ] R290.13 : Type {42,609}_58 Order 2436 mV = 609 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^28 * S^-3 * R * S^-3 * R^7, S^-15 * R * S^4 * R^-1 * S^-10 ] R290.14 : Type {75,200}_12 Order 2400 mV = 50 mF = 25 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 * R^-3 * S * R^-13 * S * R^-1 * S^2 * R^-1 * S * R^-1 ] R290.15 : Type {118,590}_10 Order 2360 mV = 590 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^-4 * R * S^5, R^-1 * S^51 * R^-20 * S * R^-1 * S * R^-42 * S ] R290.16 : Type {196,294}_12 Order 2352 mV = 147 mF = 98 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^-5 * R * S^6, R^-1 * S^31 * R^-20 * S * R^-1 * S * R^-42 * S ] R290.17 : Type {234,585}_10 Order 2340 mV = 585 mF = 117 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^55 * R^-16 * S * R^-1 * S * R^-43 ] R290.18 : Type {292,584}_8 Order 2336 mV = 584 mF = 146 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^78 * R^-20 * S * R^-1 * S * R^-42 * S ] R290.19 : Type {581,1162}_2 Order 2324 mV = 1162 mF = 581 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^278 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-282 * S ] R290.20 : Type {582,582}_2 Order 2328 mV = 582 mF = 582 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^284 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-279 ] R290.21 : Type {1160,1160}_2 Order 2320 mV = 1160 mF = 1160 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^283 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-278 ] Genus 291 R291.1 : Type {4,120}_24 Order 4800 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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)^10, S^12 * R^2 * S * R^-1 * S^-1 * R * S^10 ] R291.2 : Type {4,120}_24 Order 4800 mV = 12 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^4 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-6 * R * S^3 ] R291.3 : Type {4,294}_294 Order 4704 mV = 98 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^294 ] R291.4 : Type {4,584}_584 Order 4672 mV = 292 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^146 * R * S^-1 * R * S^145 ] R291.5 : Type {4,584}_584 Order 4672 mV = 292 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^584 ] R291.6 : Type {4,1164}_582 Order 4656 mV = 1164 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^291 * R^2 * S^291 ] R291.7 : Type {6,148}_222 Order 3552 mV = 37 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^37 * R^2 * S^2 * R^-1 * S^-1 * R * S^34 ] R291.8 : Type {8,51}_102 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-51 ] R291.9 : Type {8,80}_16 Order 3200 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^4 * R^-1 * S^-5 ] R291.10 : Type {8,80}_16 Order 3200 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-4 * R)^2, (R * S^-1)^10 ] R291.11 : Type {8,196}_392 Order 3136 mV = 49 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^196 ] R291.12 : Type {8,196}_392 Order 3136 mV = 98 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^196 ] R291.13 : Type {8,776}_194 Order 3104 mV = 776 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^97 * R^2 * S^97 ] R291.14 : Type {8,776}_388 Order 3104 mV = 776 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^97 * R * S^-2 * R * S^95 ] R291.15 : Type {14,679}_194 Order 2716 mV = 679 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^-49 * R * S^3 * R^-1 * S^-45 ] R291.16 : Type {16,168}_336 Order 2688 mV = 84 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^42 * R^-7 * S^-7 * R * S^35 ] R291.17 : Type {16,168}_336 Order 2688 mV = 84 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^42 * R * S^-1 * R * S^41 ] R291.18 : Type {39,104}_6 Order 2496 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, R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R291.19 : Type {56,88}_154 Order 2464 mV = 44 mF = 28 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^11 * R^8 * S * R^-1 * S^-5 * R^2 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] R291.20 : Type {56,88}_308 Order 2464 mV = 44 mF = 28 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^11 * R^8 * S * R^-1 * S^-5 * R^2 * S^-2 * R^2 * S^-1 * R^-1 * S^2 ] R291.21 : Type {75,300}_8 Order 2400 mV = 100 mF = 25 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^48 * R^-25 ] R291.22 : Type {100,150}_6 Order 2400 mV = 50 mF = 25 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^-2 * S^8 * R^-1 * S * R^-1 * S * R^-1 * T * S^-2 * R^8 * S^-2 * R * T * S * R^-4 * S^4 * R^-2 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 ] R291.23 : Type {120,120}_10 Order 2400 mV = 60 mF = 24 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^54 * R^-1 * S^18 * R^-6 * S * R^-14 * S * R^-6 * S^18 * R^-1 ] R291.24 : Type {120,120}_10 Order 2400 mV = 60 mF = 60 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^-3 * R^-5 * S * R^2 * S^3 * R^-1 * S^-3 * R, R^-2 * S * R^-5 * S * R^-7 * S * R^-5 * S * R^-1 ] R291.25 : Type {120,120}_20 Order 2400 mV = 60 mF = 24 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^11 * S * R^-8, R^-7 * S^7 * R^-6 * S * R^-14 * S * R^-6 * S^17 * R^-1 ] R291.26 : Type {120,120}_20 Order 2400 mV = 60 mF = 60 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^-1 * S * R * S^-1 * R^-5 * S * R^2 * S^7 * R^-1 ] R291.27 : Type {148,296}_8 Order 2368 mV = 148 mF = 37 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^-3 * S^79 * R^-1 * S^18 * R^-6 * S * R^-14 * S * R^-6 * S^19 ] R291.28 : Type {148,296}_8 Order 2368 mV = 148 mF = 74 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^81 * R^-20 * S * R^-1 * S * R^-42 * S ] R291.29 : Type {196,588}_6 Order 2352 mV = 588 mF = 98 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^128 * R^-20 * S * R^-1 * S * R^-42 * S ] R291.30 : Type {294,294}_4 Order 2352 mV = 98 mF = 98 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^183 * R^-1 * S * R^-14 * S^2 * R^-89 * S * R^-1 ] R291.31 : Type {583,1166}_2 Order 2332 mV = 1166 mF = 583 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^279 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R^2 * S^-1 * T * R^-284 ] R291.32 : Type {584,584}_2 Order 2336 mV = 584 mF = 584 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^285 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-279 * R ] R291.33 : Type {584,584}_4 Order 2336 mV = 584 mF = 584 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^226 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R291.34 : Type {1164,1164}_2 Order 2328 mV = 1164 mF = 1164 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^284 * T * S * R^-2 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-278 * R ] Genus 292 R292.1 : Type {4,586}_1172 Order 4688 mV = 293 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^586 ] R292.2 : Type {4,1168}_1168 Order 4672 mV = 1168 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^292 * R^2 * S^292 ] R292.3 : Type {6,100}_100 Order 3600 mV = 25 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^100 ] R292.4 : Type {6,294}_294 Order 3528 mV = 98 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^294 ] R292.5 : Type {6,294}_294 Order 3528 mV = 147 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^49 * R * S^-3 * R * S^46 ] R292.6 : Type {6,294}_294 Order 3528 mV = 147 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^294 ] R292.7 : Type {6,876}_292 Order 3504 mV = 876 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^146 * R * S^-1 * R * S^145 ] R292.8 : Type {8,35}_20 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, R * S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-2 * R * S^-1 ] R292.9 : Type {8,35}_30 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1)^6, S * R^3 * S^-1 * R^-4 * S^-1 * R^3 * S^2 ] R292.10 : Type {8,35}_42 Order 3360 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, (R * S^-1)^6, R^-1 * S^-3 * R^-2 * S * R^2 * S^-2 * R * S^3 ] R292.11 : Type {8,132}_88 Order 3168 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^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 ] R292.12 : Type {10,148}_740 Order 2960 mV = 74 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^148 ] R292.13 : Type {10,730}_146 Order 2920 mV = 730 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^73 * R * S^-2 * R * S^71 ] R292.14 : Type {12,80}_80 Order 2880 mV = 20 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^20 * R^5 * S^-4 * R * S^16 ] R292.15 : Type {16,30}_80 Order 2880 mV = 5 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 * 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, R^16 ] R292.16 : Type {18,657}_146 Order 2628 mV = 657 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^-1 * S^4 * R^-9 * S^4, S^-37 * R * S^5 * R^-1 * S^-31 ] R292.17 : Type {24,108}_216 Order 2592 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^27 * R^2 * S * R^-2 * S^26 ] R292.18 : Type {24,108}_216 Order 2592 mV = 54 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^27 * R^-7 * S^-7 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^16 ] R292.19 : Type {30,210}_42 Order 2520 mV = 70 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 * R^-1 * S^2 * R^-23 * S * R^-1, S^21 * R * S^-5 * R * S^16 ] R292.20 : Type {30,210}_42 Order 2520 mV = 105 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^7 * S * R^-5, S^-4 * R^-1 * S^3 * R^2 * S * R^-2 * S^2 * R^-1 * S^-4, R^-1 * S^2 * R^-1 * S^3 * R^-3 * S * R^-8 * S * R^-3 * S^2 * R^-1 * S * R^-3 ] R292.21 : Type {30,210}_42 Order 2520 mV = 105 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^21 * R * S^-5 * R * S^16 ] R292.22 : Type {48,78}_208 Order 2496 mV = 39 mF = 24 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, R^-14 * S^-1 * R * S^-1 * R^-1, S^13 * R * S^-3 * R * S^10 ] R292.23 : Type {51,204}_6 Order 2448 mV = 51 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, S^2 * R^-1 * S^20 * R^-3 * S * R^-2 * S * R^-19 * S^2 ] R292.24 : Type {68,102}_4 Order 2448 mV = 17 mF = 17 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 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1, S^-4 * R * S^-1 * R^17 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R^2 ] R292.25 : Type {148,592}_16 Order 2368 mV = 592 mF = 74 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^7 * R^-1 * S^-3, S^3 * R^-2 * S^4 * R^-19 * S * R^-1 * S * R^-42 * S ] R292.26 : Type {198,198}_6 Order 2376 mV = 99 mF = 66 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^132 * R^-1 * S^18 * R^-6 * S * R^-14 * S * R^-6 * S^18 * R^-1 ] R292.27 : Type {294,588}_4 Order 2352 mV = 588 mF = 147 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^228 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R292.28 : Type {585,1170}_2 Order 2340 mV = 1170 mF = 585 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^280 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * S^-2 * R * T * R^-284 * S ] R292.29 : Type {586,586}_2 Order 2344 mV = 586 mF = 586 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^286 * T * R^-1 * S^2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-281 ] R292.30 : Type {1168,1168}_2 Order 2336 mV = 1168 mF = 1168 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^285 * T * R^-3 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-280 ] Genus 293 R293.1 : Type {4,150}_300 Order 4800 mV = 25 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^150 ] R293.2 : Type {4,296}_148 Order 4736 mV = 74 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^74 * R^2 * S * R^-1 * S^-1 * R * S^72 ] R293.3 : Type {4,296}_296 Order 4736 mV = 74 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^296 ] R293.4 : Type {4,588}_588 Order 4704 mV = 294 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^588 ] R293.5 : Type {4,1172}_586 Order 4688 mV = 1172 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^293 * R^2 * S^293 ] R293.6 : Type {6,76}_228 Order 3648 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^76 ] R293.7 : Type {6,222}_148 Order 3552 mV = 74 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^37 * R^-2 * S * R^-1 * S^-6 * R^-1 * S^30 ] R293.8 : Type {6,879}_586 Order 3516 mV = 879 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-147 * R * S * R^-1 * S^-145 ] R293.9 : Type {8,27}_108 Order 3456 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^-27 ] R293.10 : Type {8,100}_100 Order 3200 mV = 25 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^100 ] R293.11 : Type {8,100}_200 Order 3200 mV = 25 mF = 2 Defining relations for automorphism group: [ R^8, 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^100 ] R293.12 : Type {8,392}_196 Order 3136 mV = 196 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^98 * R * S^-1 * R * S^97 ] R293.13 : Type {8,392}_196 Order 3136 mV = 196 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^98 * R^3 * S^-6 * R * S^92 ] R293.14 : Type {10,39}_130 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, S^7 * R * S^-1 * R^-2 * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^2 ] R293.15 : Type {12,236}_354 Order 2832 mV = 118 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^59 * R^6 * S^59 ] R293.16 : Type {16,44}_176 Order 2816 mV = 11 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^44 ] R293.17 : Type {16,44}_176 Order 2816 mV = 11 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^16, S^44 ] R293.18 : Type {16,336}_84 Order 2688 mV = 168 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^16, S^42 * R * S^-1 * R * S^41 ] R293.19 : Type {16,336}_84 Order 2688 mV = 168 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^42 * R * S^-5 * R * S^37 ] R293.20 : Type {16,336}_168 Order 2688 mV = 168 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^16, S^42 * R * S^-5 * R * S^37 ] R293.21 : Type {16,336}_168 Order 2688 mV = 168 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^42 * R * S^-1 * R * S^41 ] R293.22 : Type {20,132}_330 Order 2640 mV = 66 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^33 * R^-7 * S^-7 * R * S * R^-1 * S^-1 * R * S^24 ] R293.23 : Type {21,56}_12 Order 2688 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^-2 * R^6 * S^-6, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S ] R293.24 : Type {24,42}_28 Order 2688 mV = 7 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^-1 * R^6 * S^-1 * R * S^-2 * R, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R^-3 * S^-8 ] R293.25 : Type {24,42}_56 Order 2688 mV = 7 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-5 * R^2 * S^-1 * R^2 * S^-8 ] R293.26 : Type {28,92}_322 Order 2576 mV = 46 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^23 * R^-7 * S^-7 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^10 ] R293.27 : Type {32,80}_160 Order 2560 mV = 40 mF = 8 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^6)^2, R^-12 * S^-1 * R^3 * S^-1 * R^-1, S^10 * R * S^-1 * R * S^9 ] R293.28 : Type {32,80}_160 Order 2560 mV = 40 mF = 8 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^6)^2, R^-12 * S^-1 * R^3 * S^-1 * R^-1, S^10 * R * S^-5 * R * S^5 ] R293.29 : Type {32,80}_160 Order 2560 mV = 40 mF = 16 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^-14 * S^-1 * R * S^-1 * R^-1, S^20 * R * S^-1 * R * S^19 ] R293.30 : Type {32,80}_160 Order 2560 mV = 40 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^20 * R^-7 * S^-7 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^5 ] R293.31 : Type {44,308}_28 Order 2464 mV = 154 mF = 22 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^-5 * S^4 * R^-1 * S^4 * R^-27 * S, S^-2 * R^-1 * S^13 * R^-1 * S^-13 ] R293.32 : Type {52,78}_12 Order 2496 mV = 13 mF = 13 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 * R * S^-5 * R * S^6, R * S^-2 * R^7 * S^-1 * R^7 * S^-5 * R^3 ] R293.33 : Type {76,152}_4 Order 2432 mV = 38 mF = 19 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^46 * S^-1 * R^20 * S^-1 * R * S^-3 * R * S^-1 * R^2 ] R293.34 : Type {76,152}_8 Order 2432 mV = 38 mF = 19 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 * R^-1 * S^25 * R^-9 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^11 * S^-2 * R * T * S * R^-8 * S * R^-7 ] R293.35 : Type {100,300}_12 Order 2400 mV = 150 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^-5 * R * S^6, R^100 ] R293.36 : Type {150,150}_4 Order 2400 mV = 50 mF = 50 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^124 * R^-1 * S * R^-19 * S * R^-1 ] R293.37 : Type {296,296}_4 Order 2368 mV = 148 mF = 148 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^229 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-38 * S ] R293.38 : Type {296,296}_4 Order 2368 mV = 148 mF = 148 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^-112 * S * R^-2 * S * R^-4 * S^2 * R^-11 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 ] R293.39 : Type {587,1174}_2 Order 2348 mV = 1174 mF = 587 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^281 * T * S^-1 * R * S^-1 * R * T * R^-11 * S * T * S^-2 * R * T * R^-286 ] R293.40 : Type {588,588}_2 Order 2352 mV = 588 mF = 588 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^287 * T * R^-1 * S^2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-281 * R ] R293.41 : Type {1172,1172}_2 Order 2344 mV = 1172 mF = 1172 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^286 * T * R^-1 * S^2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-280 * R ] Genus 294 R294.1 : Type {4,297}_594 Order 4752 mV = 99 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-297 ] R294.2 : Type {4,590}_1180 Order 4720 mV = 295 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^590 ] R294.3 : Type {4,1176}_1176 Order 4704 mV = 1176 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^294 * R^2 * S^294 ] R294.4 : Type {6,296}_888 Order 3552 mV = 148 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^296 ] R294.5 : Type {8,198}_396 Order 3168 mV = 66 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-50 * R^4 * S^-49 ] R294.6 : Type {8,198}_792 Order 3168 mV = 99 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^198 ] R294.7 : Type {10,735}_294 Order 2940 mV = 735 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-74 * R * S * R^-1 * S^-72 ] R294.8 : Type {12,354}_236 Order 2832 mV = 177 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^59 * R * S^-1 * R * S^58 ] R294.9 : Type {14,100}_700 Order 2800 mV = 50 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^100 ] R294.10 : Type {16,86}_688 Order 2752 mV = 43 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^86 ] R294.11 : Type {20,165}_66 Order 2640 mV = 55 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, S^-17 * R^3 * S^5 * R^-1 * S^-11 ] R294.12 : Type {26,637}_98 Order 2548 mV = 637 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^17 * S^-4 * R * S^-1, S^-25 * R * S^5 * R^-1 * S^-19 ] R294.13 : Type {30,44}_660 Order 2640 mV = 22 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^44 ] R294.14 : Type {44,616}_56 Order 2464 mV = 616 mF = 22 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^-5 * S^4 * R^-1 * S^4 * R^-27 * S, S^14 * R * S^-2 * R * S^12 ] R294.15 : Type {56,154}_88 Order 2464 mV = 77 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, S^-1 * R^2 * S^-1 * R * S^-1 * R^17 * S^-1 * R * S^-2 * R, S^11 * R * S^-3 * R * S^8 ] R294.16 : Type {58,609}_42 Order 2436 mV = 609 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^-9 * R^8 * S^-12 ] R294.17 : Type {68,153}_18 Order 2448 mV = 51 mF = 17 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 * R^-8 * S^8 ] R294.18 : Type {86,602}_14 Order 2408 mV = 602 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^6 * R * S^-6 * R * S^2, S^-1 * R^17 * S^-2 * R^65 * S^-1 ] R294.19 : Type {100,600}_24 Order 2400 mV = 600 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^-2 * R^-1 * S^11 * R^-1 * S^-11, S^-7 * R^38 * S^-5 ] R294.20 : Type {150,200}_12 Order 2400 mV = 50 mF = 50 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^-2 * S * R^-17 * S^3 ] R294.21 : Type {150,200}_24 Order 2400 mV = 100 mF = 75 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^7 * S * R^-5, S^-3 * R^5 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^3 * S^-1 * R^8 * S^-1 * R^5 * S^-5 * R^2 * S^-9 ] R294.22 : Type {170,595}_14 Order 2380 mV = 595 mF = 85 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^-6 * R * S^2, S^-6 * R^55 * S^-1 * R * S^-1 * R^20 * S^-1 ] R294.23 : Type {297,297}_4 Order 2376 mV = 99 mF = 99 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^91 * S^-2 * R^14 * S^-1 * R * S^-185 * R ] R294.24 : Type {394,591}_6 Order 2364 mV = 591 mF = 197 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^130 * R^-20 * S * R^-1 * S * R^-42 * S ] R294.25 : Type {589,1178}_2 Order 2356 mV = 1178 mF = 589 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^282 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R * S^-1 * R * T * R^-286 * S ] R294.26 : Type {590,590}_2 Order 2360 mV = 590 mF = 590 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^288 * T * R^-1 * S * R^-1 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-283 ] R294.27 : Type {1176,1176}_2 Order 2352 mV = 1176 mF = 1176 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^287 * T * R^-1 * S^2 * T * S^-1 * R^11 * T * R^-1 * S * R^-1 * S * T * S^-282 ] Genus 295 R295.1 : Type {3,12}_168 Order 14112 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * 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^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] R295.2 : Type {4,16}_112 Order 6272 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, (R * S^-1)^14 ] R295.3 : Type {4,16}_112 Order 6272 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, 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 * R^-1 * S^-3 * R^-1 * S^2 * R * S^-1 * R * S^-1 ] R295.4 : Type {4,28}_14 Order 5488 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R295.5 : Type {4,28}_14 Order 5488 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * 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^-1 * R * S^2 ] R295.6 : Type {4,592}_592 Order 4736 mV = 296 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^148 * R * S^-1 * R * S^147 ] R295.7 : Type {4,592}_592 Order 4736 mV = 296 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^592 ] R295.8 : Type {4,1180}_590 Order 4720 mV = 1180 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^295 * R^2 * S^295 ] R295.9 : Type {6,9}_126 Order 5292 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^3 * S * R^-1 * S^-2 * R^3 * S^-1 * R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S * R^-1 * S^-1 * R * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^3 * S^-1 * R ] R295.10 : Type {6,12}_56 Order 4704 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-4 * R^3 * S^-2, S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 ] R295.11 : Type {6,21}_14 Order 4116 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^2 * R^-2 * S * R^-1 * S, R * S * R^-1 * S^-2 * R^-2 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R295.12 : Type {6,21}_14 Order 4116 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R^-2 * S)^7 ] R295.13 : Type {6,24}_4 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, 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 * S^-1 * R^2 * S^3 * R^-1 * S^2, R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 * R^2 * S^-1 ] R295.14 : Type {6,24}_6 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, 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^2 * S * R^-1 * S^-1 * R * S ] R295.15 : Type {6,24}_6 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 ] R295.16 : Type {6,24}_8 Order 4032 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, S^-1 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-3 * R * S * R^-1 * S^-1 * R * S^-2 ] R295.17 : Type {6,24}_12 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^2 * R^-2 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S * R^-1, (R * S^-2 * R^2 * S^-1 * R)^2 ] R295.18 : Type {6,24}_14 Order 4032 mV = 3 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] R295.19 : Type {6,24}_16 Order 4032 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R * S^-3 * R * S^4 ] R295.20 : Type {6,24}_16 Order 4032 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-2 * R * S^-2 * R^-2 * S * R^-2 * S^-2 * R ] R295.21 : Type {6,24}_24 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^2 * R^2 * S^-1 * R^2 * S^5, (R * S^-2)^4 ] R295.22 : Type {6,24}_42 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^2 * R^2 * S^-1 * R^2 * S^5, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R295.23 : Type {6,24}_48 Order 4032 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R^-2 * S)^3 ] R295.24 : Type {6,24}_48 Order 4032 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, R * S^-1 * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S^-1 * R * S^-1 ] R295.25 : Type {6,297}_594 Order 3564 mV = 99 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-297 ] R295.26 : Type {6,885}_590 Order 3540 mV = 885 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-148 * R^2 * S^-147 ] R295.27 : Type {8,12}_6 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (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, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1 ] R295.28 : Type {8,12}_42 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^12, R * S^-1 * R^-3 * S^2 * R^-3 * S^-1 * R^2 * S^-2 * R ] R295.29 : Type {12,120}_30 Order 2880 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^3 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S^3 * R * S^-1 * R^2 * S^-6 ] R295.30 : Type {12,120}_30 Order 2880 mV = 30 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^15 * R^2 * S^2 * R^-1 * S^-1 * R * S^12 ] R295.31 : Type {12,120}_60 Order 2880 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^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^3 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-1 * S^2 * R^2 * S^6 ] R295.32 : Type {12,120}_60 Order 2880 mV = 30 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^15 * R * S^-1 * R^2 * S^-5 * R * S^9 ] R295.33 : Type {12,120}_120 Order 2880 mV = 20 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^30 * R * S^-5 * R * S^25 ] R295.34 : Type {12,120}_120 Order 2880 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^120 ] R295.35 : Type {12,120}_120 Order 2880 mV = 60 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^12, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R295.36 : Type {12,120}_120 Order 2880 mV = 60 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^20 * R * S^-1 * R * S^19 ] R295.37 : Type {12,120}_120 Order 2880 mV = 60 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^30 * R * S^-1 * R * S^29 ] R295.38 : Type {12,120}_120 Order 2880 mV = 60 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^120 ] R295.39 : Type {12,708}_118 Order 2832 mV = 708 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^59 * R * S^-4 * R * S^55 ] R295.40 : Type {15,30}_14 Order 2940 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^-15, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ] R295.41 : Type {16,16}_14 Order 3136 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1, R^3 * S^-1 * R^-4 * S^-1 * R * S^2 * R^-2 * S^-2, R^16 ] R295.42 : Type {16,16}_14 Order 3136 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^16, R * S^-1 * R^2 * 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^2 * R^2 * S^2 ] R295.43 : Type {16,16}_28 Order 3136 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^2 * R^-2 * S, S * R * S^-2 * R^3 * S^2 * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R^3 * S^-1 * R * S^2 * R^-2, R * S^-1 * R^-2 * S * R^-4 * S * R^-2 * S^-1 * R * S^2 ] R295.44 : Type {16,16}_28 Order 3136 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^16, R^2 * S^-2 * R^2 * S^2 * 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 ] R295.45 : Type {20,24}_6 Order 2880 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 * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R295.46 : Type {20,24}_12 Order 2880 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 * S^-1 * R)^2, (S^-1 * R^2 * S^-1)^3 ] R295.47 : Type {20,24}_40 Order 2880 mV = 4 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 * 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, R^20 ] R295.48 : Type {20,24}_40 Order 2880 mV = 4 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 * 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^2 * S^2 * R^-1 * S^-3, R^20 ] R295.49 : Type {22,649}_118 Order 2596 mV = 649 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^-30 * R * S^2 * R^-1 * S^-27 ] R295.50 : Type {24,216}_54 Order 2592 mV = 72 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^15 * S^-4 * R * S^-1, S^27 * R * S^-2 * R * S^25 ] R295.51 : Type {24,216}_54 Order 2592 mV = 108 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^11 * S * R^-1 * S, S^27 * R^3 * S^-2 * R * S^5 * R^-2 * S^20 ] R295.52 : Type {24,216}_108 Order 2592 mV = 72 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^15 * S^-4 * R * S^-1, S^27 * R^-1 * S^-9 * R * S^18 ] R295.53 : Type {24,216}_108 Order 2592 mV = 108 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^11 * S * R^-1 * S, S^27 * R^2 * S * R^-1 * S^-6 * R^-3 * S^20 ] R295.54 : Type {27,108}_24 Order 2592 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-1 * S^5 * R^-1 * S^3 * R^-15 * S^2 ] R295.55 : Type {28,28}_14 Order 2744 mV = 7 mF = 7 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)^7 ] R295.56 : Type {28,28}_14 Order 2744 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^-1 * R)^7 ] R295.57 : Type {28,28}_14 Order 2744 mV = 7 mF = 7 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 * R * S^-3 * R * S^4, (R * S^-1 * R)^4, (S^-1 * R)^7 ] R295.58 : Type {28,28}_14 Order 2744 mV = 7 mF = 7 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^8 * S^-4, S * R^-1 * S^3 * R^2 * S^3 * R^-1 * S, (S^-1 * R)^7 ] R295.59 : Type {40,64}_320 Order 2560 mV = 32 mF = 20 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^17 * S * R^-1 * S * R^2, S^16 * R * S^-1 * R * S^15 ] R295.60 : Type {40,64}_320 Order 2560 mV = 32 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-11 * T * S^3 * R * T * S^2 * R^-11 * S^-7 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R295.61 : Type {76,304}_16 Order 2432 mV = 152 mF = 19 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^-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^-7 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^11 * S^-2 * R * T * S * R^-8 * S * R^-7 ] R295.62 : Type {76,304}_16 Order 2432 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^-7 * R^-1 * S^7 * R^-1 * S^-2, S^-16 * R^33 * S^-3 * R * S^-3 * R^20 ] R295.63 : Type {150,300}_8 Order 2400 mV = 100 mF = 50 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^46 * R^-25 ] R295.64 : Type {238,595}_10 Order 2380 mV = 595 mF = 119 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^91 * S^-1 * R * S^-1 * R^20 * S^-1 ] R295.65 : Type {591,1182}_2 Order 2364 mV = 1182 mF = 591 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^283 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R * S^-1 * R * T * R^-288 ] R295.66 : Type {592,592}_2 Order 2368 mV = 592 mF = 592 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^289 * T * R^-1 * S * R^-1 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-283 * R ] R295.67 : Type {592,592}_4 Order 2368 mV = 592 mF = 592 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^230 * R^-20 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-39 ] R295.68 : Type {1180,1180}_2 Order 2360 mV = 1180 mF = 1180 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^288 * T * R^-1 * S * R^-1 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-282 * R ] Genus 296 R296.1 : Type {4,594}_1188 Order 4752 mV = 297 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^594 ] R296.2 : Type {4,1184}_1184 Order 4736 mV = 1184 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^296 * R^2 * S^296 ] R296.3 : Type {6,298}_894 Order 3576 mV = 149 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^298 ] R296.4 : Type {6,888}_296 Order 3552 mV = 888 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^148 * R^2 * S^148 ] R296.5 : Type {8,396}_792 Order 3168 mV = 198 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^99 * R^3 * S^-6 * R * S^93 ] R296.6 : Type {10,32}_32 Order 3200 mV = 8 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^32 ] R296.7 : Type {10,150}_150 Order 3000 mV = 30 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^150 ] R296.8 : Type {10,150}_150 Order 3000 mV = 75 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^150 ] R296.9 : Type {10,740}_148 Order 2960 mV = 740 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^74 * R * S^-3 * R * S^71 ] R296.10 : Type {18,76}_684 Order 2736 mV = 38 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^76 ] R296.11 : Type {18,666}_74 Order 2664 mV = 666 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^-1 * S^5 * R^-7 * S^5, S^37 * R^2 * S^37 ] R296.12 : Type {20,330}_132 Order 2640 mV = 165 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^33 * R^-1 * S^-8 * R * S^25 ] R296.13 : Type {34,629}_74 Order 2516 mV = 629 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^26 * S^-2 * R * S^-2 * R^3, S^-19 * R * S^10 * R^-1 * S^-8 ] R296.14 : Type {48,156}_208 Order 2496 mV = 78 mF = 24 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, R^-14 * S^-1 * R * S^-1 * R^-1, S^13 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^5 ] R296.15 : Type {56,308}_88 Order 2464 mV = 154 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, S^-1 * R^2 * S^-1 * R * S^-1 * R^17 * S^-1 * R * S^-2 * R, S^11 * R^2 * S^3 * R^-1 * S^-3 * R * S^5 ] R296.16 : Type {68,306}_36 Order 2448 mV = 153 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^9 * R^-1 * S * R^-13 * S^10 ] R296.17 : Type {76,608}_32 Order 2432 mV = 608 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^-7 * R^20 * S^-3 * R^2 * S^-6 ] R296.18 : Type {150,600}_8 Order 2400 mV = 600 mF = 75 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^150 ] R296.19 : Type {200,300}_24 Order 2400 mV = 150 mF = 100 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^-5 * R * S^6, S^5 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^11 * S^-2 * R * T * S * R^-8 * S * R^-6 * S * R^-2 ] R296.20 : Type {298,596}_4 Order 2384 mV = 596 mF = 149 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^271 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^20 ] R296.21 : Type {593,1186}_2 Order 2372 mV = 1186 mF = 593 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^284 * T * S^-1 * R * S^-1 * R * T * R^-12 * T * R * S^-1 * R * T * R^-288 * S ] R296.22 : Type {594,594}_2 Order 2376 mV = 594 mF = 594 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^290 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-285 ] R296.23 : Type {1184,1184}_2 Order 2368 mV = 1184 mF = 1184 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^289 * T * R^-1 * S * R^-1 * T * R^12 * T * R^-1 * S * R^-1 * S * T * S^-284 ] Genus 297 R297.1 : Type {4,78}_78 Order 4992 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^78 ] R297.2 : Type {4,78}_312 Order 4992 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1, S^78 ] R297.3 : Type {4,152}_76 Order 4864 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^38 * R^2 * S * R^-1 * S^-1 * R * S^36 ] R297.4 : Type {4,152}_152 Order 4864 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^-1 * S^2 * R^-1 * S^-1 * R * S^-1, S^38 * R^2 * S * R^-1 * S^-5 * R * S^32 ] R297.5 : Type {4,152}_152 Order 4864 mV = 38 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^152 ] R297.6 : Type {4,152}_152 Order 4864 mV = 38 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^38 * R * S^-1 * R * S^6 * R^-1 * S^-2 * R * S^29 ] R297.7 : Type {4,300}_150 Order 4800 mV = 100 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^75 * R * S^-2 * R * S^73 ] R297.8 : Type {4,300}_300 Order 4800 mV = 75 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^300 ] R297.9 : Type {4,300}_300 Order 4800 mV = 100 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^300 ] R297.10 : Type {4,596}_596 Order 4768 mV = 298 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^596 ] R297.11 : Type {4,1188}_594 Order 4752 mV = 1188 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^297 * R^2 * S^297 ] R297.12 : Type {6,40}_8 Order 3840 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] R297.13 : Type {6,40}_30 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-3 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-3 ] R297.14 : Type {6,40}_30 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, R * S^-2 * R^-2 * S * R^3 * S * R^-2 * S^-2, S^-1 * R^2 * S^-1 * R^-1 * S^2 * R^-2 * S^4 * R^-1 * S^-2 ] R297.15 : Type {6,40}_30 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S^-2 * R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R^2 * S^-4 ] R297.16 : Type {6,40}_30 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R * S^-2 * R^2 * S^-2 * R^2 * S^-2 * R * S^4 ] R297.17 : Type {6,40}_40 Order 3840 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^-4 * R * S^-1 * R^2 * S^3 * R^-1 * S^-2, R * S^-2 * R * S^-2 * R^-2 * S^-3 * R * S^-1 * R * S^2 ] R297.18 : Type {6,40}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-10 * R^-2 * S^-4 * R * S^3 * R^-1 * S^-3 ] R297.19 : Type {6,40}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-3 * R^2 * S^-1 * R^2 * S^-6, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S ] R297.20 : Type {6,40}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^8, S^2 * R * S^-8 * R^3 * S^3 * R^-1 * S^-5 * R * S^2 ] R297.21 : Type {6,40}_60 Order 3840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, R * S^-2 * R^-2 * S * R^3 * S * R^-2 * S^-2, (R * S^-5 * R)^2 ] R297.22 : Type {6,40}_60 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^6 ] R297.23 : Type {6,40}_60 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^6 ] R297.24 : Type {6,40}_120 Order 3840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^40 ] R297.25 : Type {6,114}_152 Order 3648 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^19 * R * S^-1 * R * S^2 * R^-2 * S^16 ] R297.26 : Type {8,15}_60 Order 3840 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^-15 ] R297.27 : Type {8,52}_52 Order 3328 mV = 13 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^52 ] R297.28 : Type {8,52}_104 Order 3328 mV = 13 mF = 1 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^52 ] R297.29 : Type {8,52}_104 Order 3328 mV = 13 mF = 2 Defining relations for automorphism group: [ R^8, 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^52 ] R297.30 : Type {8,52}_104 Order 3328 mV = 13 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^52 ] R297.31 : Type {8,200}_100 Order 3200 mV = 50 mF = 2 Defining relations for automorphism group: [ R^8, 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^50 * R^3 * S^-8 * R * S^42 ] R297.32 : Type {8,200}_200 Order 3200 mV = 50 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^50 * R * S^-1 * R * S^5 * R^-1 * S^-2 * R * S^42 ] R297.33 : Type {8,200}_200 Order 3200 mV = 50 mF = 2 Defining relations for automorphism group: [ R^8, 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^50 * R^3 * S^-2 * R * S^48 ] R297.34 : Type {8,200}_200 Order 3200 mV = 50 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^200 ] R297.35 : Type {8,200}_200 Order 3200 mV = 100 mF = 2 Defining relations for automorphism group: [ R^8, 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^50 * R * S^-1 * R * S^49 ] R297.36 : Type {8,200}_200 Order 3200 mV = 100 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^200 ] R297.37 : Type {8,792}_198 Order 3168 mV = 792 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^99 * R * S^-2 * R * S^97 ] R297.38 : Type {8,792}_396 Order 3168 mV = 792 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^99 * R^2 * S^99 ] R297.39 : Type {12,32}_96 Order 3072 mV = 8 mF = 1 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^-1 * R * S * R^-1, R^12, S * R * S^-6 * R^-1 * S * R^-1 * S^-2 * R * S^6 ] R297.40 : Type {12,32}_96 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S^-1 * R * S^6 * R * S^-1 * R^3 * S^2 * R^-1 * S^-6 ] R297.41 : Type {12,32}_96 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^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^-7 * R^4 * S^-1 * R^-1 * S^2 * R^-1 * S^-6 ] R297.42 : Type {12,32}_96 Order 3072 mV = 8 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^32 ] R297.43 : Type {12,32}_96 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^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^6 * R * S^-1 * R^-1 * S * R^3 * S^-2 * R * S^6 ] R297.44 : Type {12,32}_96 Order 3072 mV = 8 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^32 ] R297.45 : Type {12,32}_96 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^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^-6 * R^-1 * S * R^-1 * S^-2 * R * S^6 ] R297.46 : Type {12,32}_96 Order 3072 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, (R * S^-1)^4, (R * S^-3)^2, R^12, S^32 ] R297.47 : Type {12,32}_96 Order 3072 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, (R * S^-1)^4, R^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^-3 * R^-1 * S^11 * R^-1 * S^-2 ] R297.48 : Type {12,32}_96 Order 3072 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S * R * S^-3 * R^2 * S^4 * R^-1, S^-3 * R^-1 * S^11 * R^-1 * S^-2 ] R297.49 : Type {12,32}_96 Order 3072 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, (R * S^-3)^2, R^12, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R, S^-5 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-6 ] R297.50 : Type {14,693}_198 Order 2772 mV = 693 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^-50 * R * S^4 * R^-1 * S^-45 ] R297.51 : Type {20,68}_340 Order 2720 mV = 34 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^68 ] R297.52 : Type {20,660}_66 Order 2640 mV = 660 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^33 * R * S^-2 * R * S^31 ] R297.53 : Type {21,84}_8 Order 2688 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 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-1 * R^14 * S^-1 * R * S^-1 * R^2 * S^-1 ] R297.54 : Type {24,56}_8 Order 2688 mV = 8 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^3 * R^3 * S^4, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R297.55 : Type {24,56}_8 Order 2688 mV = 8 mF = 8 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 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S * R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S, R * S^-5 * R^-2 * S^-5 * R * S^2 ] R297.56 : Type {24,56}_16 Order 2688 mV = 8 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^2 * S^-1 * R * S^-1 * R^2 * S^5, (R * S^-2)^4 ] R297.57 : Type {24,56}_16 Order 2688 mV = 8 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^-3 * R^3 * S^-4, (R * S^-2)^4 ] R297.58 : Type {24,56}_42 Order 2688 mV = 14 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, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S * R^7 * S * R^-5, R * S^-1 * R^-1 * S^5 * R^2 * S * R^-1 * S^-5 * R * S^2 ] R297.59 : Type {24,56}_84 Order 2688 mV = 14 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, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^2, S * R^7 * S * R^-5, S^2 * R * S^-1 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-5 * R * S^2 ] R297.60 : Type {24,56}_84 Order 2688 mV = 14 mF = 6 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^24, S^14 * R^-1 * S^-1 * R * S^6 * R^6 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^3 ] R297.61 : Type {24,56}_168 Order 2688 mV = 14 mF = 4 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)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-9 * S^-1 * R * S * R^-1 * S, S^6 * R * S^-1 * R^2 * S^-1 * R * S^6 ] R297.62 : Type {24,56}_168 Order 2688 mV = 14 mF = 4 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)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-9 * S^-1 * R * S * R^-1 * S, S^-1 * R^-1 * S^5 * R * S^-1 * R * S * R^-1 * S^-6 ] R297.63 : Type {24,56}_168 Order 2688 mV = 14 mF = 6 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^24, S^14 * R^4 * S^5 * R^-1 * S^-1 * R^2 * S^-2 * R^2 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^3 ] R297.64 : Type {24,56}_168 Order 2688 mV = 14 mF = 6 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^-9 * S^2 * R^-2 * S^-2 * R^-1, S^14 * R^2 * S^2 * R^-1 * S^-3 * R * S^9 ] R297.65 : Type {24,56}_168 Order 2688 mV = 14 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^11 * S * R^-1 * S, S^56 ] R297.66 : Type {24,56}_168 Order 2688 mV = 28 mF = 6 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^24, S^14 * R * S^-1 * R * S^13 ] R297.67 : Type {24,56}_168 Order 2688 mV = 28 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^24, S^56 ] R297.68 : Type {28,42}_6 Order 2688 mV = 7 mF = 7 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, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^8 * S^-6, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R297.69 : Type {28,42}_24 Order 2688 mV = 7 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S, R^8 * S^-6 ] R297.70 : Type {32,160}_20 Order 2560 mV = 40 mF = 8 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^4 * S^-1 * R * S^-1 * R^18 * S^-2 * R * S^-2 * R^2, S^-2 * R^-1 * S^8 * R^-3 * S^-10 ] R297.71 : Type {32,160}_20 Order 2560 mV = 40 mF = 8 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^10 * S^-1 * R * S^-2 * R * S^-1, S^10 * R^4 * S^10 ] R297.72 : Type {32,160}_40 Order 2560 mV = 40 mF = 8 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^4 * S^-1 * R * S^-1 * R^18 * S^-2 * R * S^-2 * R^2, S^10 * R^4 * S^10 ] R297.73 : Type {32,160}_40 Order 2560 mV = 40 mF = 8 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^10 * S^-1 * R * S^-2 * R * S^-1, S^11 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R297.74 : Type {32,160}_40 Order 2560 mV = 40 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^-2 * S^2 * R^-1 * S^2 * R^-25, S^20 * R * S^-3 * R * S^17 ] R297.75 : Type {32,160}_40 Order 2560 mV = 40 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, R^13 * S^-1 * R * S^-1, S^20 * R * S^-3 * R * S^17 ] R297.76 : Type {32,160}_40 Order 2560 mV = 80 mF = 8 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^4 * S^-1 * R * S^-1 * R^18 * S^-2 * R * S^-2 * R^2, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R297.77 : Type {32,160}_40 Order 2560 mV = 80 mF = 8 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^4 * S^-1 * R * S^-1 * R^18 * S^-2 * R * S^-2 * R^2, S^10 * R * S^-1 * R * S^9 ] R297.78 : Type {32,160}_80 Order 2560 mV = 40 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^-2 * S^2 * R^-1 * S^2 * R^-25, S^20 * R^-1 * S^-12 * R * S^8 ] R297.79 : Type {32,160}_80 Order 2560 mV = 40 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, R^13 * S^-1 * R * S^-1, S^20 * R^2 * S^3 * R^-1 * S^-3 * R * S^14 ] R297.80 : Type {32,160}_80 Order 2560 mV = 80 mF = 8 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^11 * S^-1 * R^3 * S^-1, S^10 * R^4 * S^3 * R^-1 * S^-2 * R^-1 * S^2 * R^-2 * S^3 ] R297.81 : Type {32,160}_80 Order 2560 mV = 80 mF = 8 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^11 * S^-1 * R^3 * S^-1, S^10 * R * S^-1 * R * S^9 ] R297.82 : Type {38,627}_66 Order 2508 mV = 627 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^25 * S^-4 * R * S^-4 * R^4, S^-17 * R * S^7 * R^-1 * S^-9 ] R297.83 : Type {40,80}_4 Order 2560 mV = 10 mF = 10 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^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R, S^-3 * R^8 * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R ] R297.84 : Type {40,80}_8 Order 2560 mV = 10 mF = 10 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, S * R^2 * S^-2 * R^2 * S^5, R^2 * S^-1 * R * S^-2 * R^10 * S^-3 * R ] R297.85 : Type {40,80}_16 Order 2560 mV = 20 mF = 5 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, S * R^6 * S * R^-1 * S^2 * R^-1, R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-3 * S^2 * R^-8 * S * R^-3 * S^5 * R^-2 * S * R^-2 ] R297.86 : Type {40,80}_16 Order 2560 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^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-9 * S^-1 * R^6, R^3 * S^-2 * R^2 * S^-1 * R * S^-2 * R^3 * S^-1 * R^8 * S^-1 * R^3 * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R^2 ] R297.87 : Type {40,80}_16 Order 2560 mV = 20 mF = 5 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^4 * S^2 * R^-3, 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, S * R^7 * S^3 * R^-1 * S^2, R^-2 * S * T * R^3 * S^-1 * R^3 * S^-2 * R^2 * S^-2 * T * S^4 ] R297.88 : Type {40,80}_16 Order 2560 mV = 20 mF = 5 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^4 * S^2 * R^-3, 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, S * R^7 * S^3 * R^-1 * S^2, S * R^-1 * S * T * R^3 * S^-1 * R^5 * S^-2 * R^2 * S^-1 * T * R^-1 * S^2 ] R297.89 : Type {40,80}_16 Order 2560 mV = 20 mF = 10 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^-7 * R^-1 * S^7 * R^-1 * S^-2, R * S^-3 * R^8 * S^-3 * R^2 * S^-2 * R ] R297.90 : Type {40,80}_16 Order 2560 mV = 20 mF = 10 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^-7 * R^-1 * S^7 * R^-1 * S^-2, S^-1 * R^2 * S^-1 * R^8 * S^-3 * R^2 * S^-3 ] R297.91 : Type {40,80}_16 Order 2560 mV = 20 mF = 10 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 * S^-3 * R^2 * S^-2 * R^5 * S^-1 * R^2 * S^-3, S^-7 * R^-1 * S^7 * R^-1 * S^-2 ] R297.92 : Type {40,80}_16 Order 2560 mV = 20 mF = 10 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^4 * R^-1 * S^3 * R^-5 * S * R^-11 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-3 * S^2 ] R297.93 : Type {40,80}_16 Order 2560 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-7 * R^-1 * S^7 * R^-1 * S^-2, R^-4 * S * R^-2 * S * R^-1 * S^2 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-4 ] R297.94 : Type {40,80}_16 Order 2560 mV = 20 mF = 10 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^-3 * R * S^4, R^11 * S^-3 * R * S^-3 * R^2 ] R297.95 : Type {40,80}_16 Order 2560 mV = 20 mF = 10 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^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R^-2 * T * S^-3 * R^5 * S^-4 * R * T * S * R^-1 * S * R^-1 ] R297.96 : Type {40,80}_16 Order 2560 mV = 20 mF = 10 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, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R * S^-2 * R^11 * S^-2 * R ] R297.97 : Type {46,621}_54 Order 2484 mV = 621 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^29 * S^-4 * R * S^-4 * R^8, S^-14 * R * S^2 * R^-1 * S^-11 ] R297.98 : Type {48,208}_78 Order 2496 mV = 104 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^13 * R^2 * S^3 * R^-1 * S^-3 * R^3 * S^7 ] R297.99 : Type {48,208}_156 Order 2496 mV = 104 mF = 24 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^7 * S * R^-5, R^13 * S^-1 * R * S^-1, S^14 * R^-5 * S^-3 * R * S^9 ] R297.100 : Type {52,156}_6 Order 2496 mV = 52 mF = 13 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^6 * S^-1 * R^5 * S^-2 * R * S^-1 * R^2 * S^-1 * R^8 * S^-2 * R * S^-2 * R^2 * S^-1 * R^3 * S^-1 * R * S^-3 * R * S^-3 * R * S^-2 * R * S^-1 ] R297.101 : Type {52,156}_12 Order 2496 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^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^4 * R * S^-2 * R^2 * S^-2 * R * S^4, S^2 * R^-1 * S^3 * R^-6 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^14 * T * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-7 * S ] R297.102 : Type {52,156}_12 Order 2496 mV = 52 mF = 13 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 * R * S^-5 * R * S^6, S^-2 * R^7 * S^-1 * R^11 * S^-1 * R * S^-2 * R ] R297.103 : Type {56,616}_22 Order 2464 mV = 616 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^-2 * R^-1 * S^10 * R^-1 * S^-10, R^-1 * S * R^-11 * S^4 * R^-1 * S^4 * R^-33 * S ] R297.104 : Type {56,616}_44 Order 2464 mV = 616 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^-10 * R^6 * S^-12 ] R297.105 : Type {68,612}_18 Order 2448 mV = 612 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^-2 * R^-1 * S^8 * R^-1 * S^-8, R^-20 * S^3 * R^-1 * S^3 * R^-41 ] R297.106 : Type {78,78}_4 Order 2496 mV = 13 mF = 13 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^-61 * R^11 * S^-1 * R^2 ] R297.107 : Type {78,78}_8 Order 2496 mV = 13 mF = 13 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^-56 * R^2 * S^-1 * R^11 * S^-5 * R ] R297.108 : Type {134,603}_18 Order 2412 mV = 603 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^-2 * R^-1 * S^8 * R^-1 * S^-8, S^-8 * R^58 * S^-1 ] R297.109 : Type {152,152}_4 Order 2432 mV = 38 mF = 38 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^-116 * S^2 * R^-1 * S * R^-4 * S^2 * R^-11 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^3 ] R297.110 : Type {152,152}_8 Order 2432 mV = 38 mF = 38 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^27 * R^-9 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^11 * S^-2 * R * T * S * R^-8 * S * R^-6 * S ] R297.111 : Type {152,152}_8 Order 2432 mV = 38 mF = 38 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^-33 * S^2 * R^-1 * S^3 * R^-1 * S^5 * R^-11 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R297.112 : Type {152,152}_8 Order 2432 mV = 76 mF = 38 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^84 * S^-18 * R^6 * S^-1 * R^13 * S^-1 * R^6 * S^-1 * R * S^-18 * R ] R297.113 : Type {152,152}_8 Order 2432 mV = 76 mF = 76 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 * R^-1 * S^25 * R^-9 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^11 * S^-2 * R * T * S * R^-4 * S^2 * R^-1 * S * R^-8 ] R297.114 : Type {200,600}_6 Order 2400 mV = 600 mF = 100 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^200 ] R297.115 : Type {200,600}_12 Order 2400 mV = 600 mF = 100 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^-5 * R * S^6, S^-5 * R^94 * S^-1 ] R297.116 : Type {300,300}_4 Order 2400 mV = 100 mF = 100 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^124 * R^-1 * S * R^-20 * S ] R297.117 : Type {300,300}_4 Order 2400 mV = 100 mF = 100 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^186 * R^-1 * S * R^-14 * S^2 * R^-92 * S * R^-1 ] R297.118 : Type {300,300}_4 Order 2400 mV = 150 mF = 150 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^300 ] R297.119 : Type {398,597}_6 Order 2388 mV = 597 mF = 199 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^173 * S^-1 * R * S^-1 * R^20 * S^-1 ] R297.120 : Type {595,1190}_2 Order 2380 mV = 1190 mF = 595 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^285 * T * S^-1 * R^3 * T * S * R^-11 * T * R * S^-1 * R * T * R^-290 ] R297.121 : Type {596,596}_2 Order 2384 mV = 596 mF = 596 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^291 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-285 * R ] R297.122 : Type {1188,1188}_2 Order 2376 mV = 1188 mF = 1188 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^290 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-284 * R ] Genus 298 R298.1 : Type {3,72}_12 Order 7776 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^18 * R * S^-2 * R * S^-2 * R * S^16 ] R298.2 : Type {3,72}_36 Order 7776 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2, S^-2 * R * S^-6 * R^-1 * S * R * S^-5 * R * S^-4, S^-12 * R^-1 * S^11 * R^-1 * S^-1 ] R298.3 : Type {4,598}_1196 Order 4784 mV = 299 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^598 ] R298.4 : Type {4,1192}_1192 Order 4768 mV = 1192 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^298 * R^2 * S^298 ] R298.5 : Type {6,36}_12 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-8 * R^-2 * S * R^-2 * S^-9 ] R298.6 : Type {6,36}_12 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-4 * R^-2 * S^-4 * R * S^2, S^7 * R^-1 * S * R^-2 * S * R^-1 * S^7 ] R298.7 : Type {6,36}_12 Order 3888 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1)^6, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1, S^-3 * R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S^-6 ] R298.8 : Type {6,36}_12 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-5 * R * S^6 ] R298.9 : Type {6,36}_12 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1, R * S^-2 * R^-1 * S^2 * R * S^-1 * R^-3 * S^6 * R^-1 * S^-1 * R ] R298.10 : Type {6,36}_12 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6 ] R298.11 : Type {6,36}_12 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^-3 * R, S^2 * R * S^-2 * R^2 * S^-1 * R^-3 * S^7 ] R298.12 : Type {6,36}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S, S^36 ] R298.13 : Type {6,36}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R298.14 : Type {6,36}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^4 * R * S^-1 * R^-2 * S^-5 * R * S^2 ] R298.15 : Type {6,36}_36 Order 3888 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, 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^-2 * R^2 * S^3 * R^-1, S^36 ] R298.16 : Type {6,36}_36 Order 3888 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1)^6, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-4 * R * S^2 ] R298.17 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, 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^36 ] R298.18 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^36 ] R298.19 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, 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^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^36 ] R298.20 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-4 * R * S^2 ] R298.21 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (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 * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^-3 * R, S^2 * R * S^-3 * R^2 * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^2 ] R298.22 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R * S^-5 * R * S^6, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^3 * R^-1 * S^2 ] R298.23 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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^36 ] R298.24 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^36 ] R298.25 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (R * S^-1)^6, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-7 ] R298.26 : Type {6,36}_36 Order 3888 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (R * S^-1)^6, S^7 * R^-2 * S^3 * R^-2 * S^2 ] R298.27 : Type {6,36}_36 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R, R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-6 ] R298.28 : Type {6,36}_36 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, 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^36 ] R298.29 : Type {6,36}_36 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R, S^-5 * R^2 * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R298.30 : Type {6,36}_36 Order 3888 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^36 ] R298.31 : Type {6,36}_36 Order 3888 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S, S^36 ] R298.32 : Type {6,36}_36 Order 3888 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1)^6, S * R * S^-5 * R * S^6, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] R298.33 : Type {6,102}_102 Order 3672 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^17 * R^2 * S^4 * R^-1 * S^-1 * R * S^12 ] R298.34 : Type {6,102}_102 Order 3672 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^102 ] R298.35 : Type {6,102}_102 Order 3672 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^102 ] R298.36 : Type {6,102}_102 Order 3672 mV = 34 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^102 ] R298.37 : Type {6,300}_300 Order 3600 mV = 100 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^300 ] R298.38 : Type {6,300}_300 Order 3600 mV = 150 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^50 * R * S^-1 * R * S^49 ] R298.39 : Type {6,300}_300 Order 3600 mV = 150 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^300 ] R298.40 : Type {6,894}_298 Order 3576 mV = 894 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^149 * R * S^-1 * R * S^148 ] R298.41 : Type {8,10}_6 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, 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 * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-2 * R * S^-1 ] R298.42 : Type {8,10}_10 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-2 * R^2)^2 ] R298.43 : Type {9,12}_6 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^12, S^-1 * R^-1 * S * R^-4 * S * R^-1 * S^-2 * R * S^-1, R^-1 * S^3 * R^4 * S^3 * R^-1 * S^2, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-4 ] R298.44 : Type {9,12}_6 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R * S^-1 * R^3 * S^2 * R^-2, S^12 ] R298.45 : Type {9,12}_6 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (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, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3 ] R298.46 : Type {9,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (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, S^12, S^-2 * R * S^-1 * R^4 * S^-1 * R * S^-2 * R^2 ] R298.47 : Type {9,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^12, R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^2 ] R298.48 : Type {9,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, S^12 ] R298.49 : Type {9,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, 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^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^12 ] R298.50 : Type {9,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, 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^12 ] R298.51 : Type {9,12}_18 Order 3888 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R298.52 : Type {9,12}_18 Order 3888 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R298.53 : Type {9,12}_18 Order 3888 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^12, S^2 * R * S^-1 * R^-1 * S^3 * R^2 * S^4 * R^-1 * S^2, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^3 * R^-1 * S^2 ] R298.54 : Type {9,12}_18 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, T^2, (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^3 * S^-1 * R^3 * S * R^-2 * S * R^-2, R * S^-2 * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S^-1 * R, R * S^-1 * R^-2 * S * R^-3 * S * R^-2 * S^-1 * R * S^-2 ] R298.55 : Type {10,745}_298 Order 2980 mV = 745 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-75 * R * S^2 * R^-1 * S^-72 ] R298.56 : Type {12,42}_28 Order 3024 mV = 7 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^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^-3 * R^-1 * S^4 * R^-2 * S^4 * R^-1 * S^-3 ] R298.57 : Type {12,42}_28 Order 3024 mV = 7 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^12, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, (R * S^-1)^6, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R298.58 : Type {12,42}_84 Order 3024 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^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R^-2 * S^-8 ] R298.59 : Type {12,42}_84 Order 3024 mV = 7 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^42 ] R298.60 : Type {12,42}_84 Order 3024 mV = 7 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^42 ] R298.61 : Type {12,42}_84 Order 3024 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^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^42 ] R298.62 : Type {12,42}_84 Order 3024 mV = 7 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 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-1)^6, S^4 * R * S^-3 * R^2 * S^-3 * R * S^4 ] R298.63 : Type {12,42}_84 Order 3024 mV = 7 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^12, S^-2 * R^-1 * S * R^3 * S * R^-1 * S^-2 * R, (R * S^-1)^6, S^8 * R^2 * S^3 * R^-1 * S^-1 * R * S^2 ] R298.64 : Type {12,240}_240 Order 2880 mV = 80 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^60 * R * S^-2 * R * S^58 ] R298.65 : Type {12,240}_240 Order 2880 mV = 120 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^20 * R^3 * S^-2 * R * S^5 * R^-1 * S^-1 * R * S^12 ] R298.66 : Type {12,240}_240 Order 2880 mV = 120 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^60 * R^6 * S^60 ] R298.67 : Type {16,172}_688 Order 2752 mV = 86 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^43 * R^-7 * S^-7 * R * S^36 ] R298.68 : Type {18,27}_54 Order 2916 mV = 3 mF = 3 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 * S^-1 * R^-3 * S^2 * R^-3 * S^-1 * R * S^5 ] R298.69 : Type {18,27}_54 Order 2916 mV = 3 mF = 3 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, S^-2 * R^-1 * S * R^-2 * S^4 * R^-2 * S * R^-1 * S^-1 ] R298.70 : Type {18,27}_54 Order 2916 mV = 3 mF = 3 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^-2 * T * R^2 * S^-2 * R^7 * S^-2 * R * T * R^-2, S^-27 ] R298.71 : Type {18,27}_54 Order 2916 mV = 3 mF = 3 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^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, R^3 * S^-1 * R^3 * S * R^-2 * S^-2, S^-27 ] R298.72 : Type {18,27}_54 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, S^-2 * R^-1 * S * R^-2 * S^4 * R^-2 * S * R^-1 * S^-1 ] R298.73 : Type {18,27}_54 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, S * R^-1 * S^2 * R^3 * S^2 * R^-1 * S * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R^-4 * S * R^-1 * S^-5 ] R298.74 : Type {18,27}_54 Order 2916 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S * R^7 * S * R^-5, S^-27 ] R298.75 : Type {18,27}_54 Order 2916 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^7 * S * R^-5, S^7 * R^-2 * S * R^-2 * S * R^-2 ] R298.76 : Type {18,27}_54 Order 2916 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^7 * S * R^-5, R * S^-4 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^2 ] R298.77 : Type {18,225}_150 Order 2700 mV = 75 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^-1 * S^5 * R^-7 * S^5, S^-38 * R * S^6 * R^-1 * S^-31 ] R298.78 : Type {27,216}_12 Order 2592 mV = 54 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^-3 * R * S^4, S^3 * R^-3 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-13 ] R298.79 : Type {28,322}_92 Order 2576 mV = 161 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^-2 * S * R^-23 * S * R^-1, S^23 * R * S^-1 * R * S^22 ] R298.80 : Type {36,72}_8 Order 2592 mV = 18 mF = 6 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^-3 * R * S^4, S * R^7 * S * R^-5, R * S^-1 * R^-1 * S * R^4 * S * R^-1 * S^2 * R^-1 * S^-1, R * S^-1 * R^2 * S^-2 * R^7 * S^-1 * R * S^-2 * R ] R298.81 : Type {36,72}_24 Order 2592 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^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, S * R^7 * S * R^-5, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-6 * S^3 * R^-1 * S ] R298.82 : Type {36,72}_24 Order 2592 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^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, (R * S^-3 * R^2)^2, S^-2 * R^2 * S^-1 * R^2 * S^-5, S * R^7 * S * R^-5, S^-1 * R * S^-1 * R^5 * S^3 * R^-1 * S^-1 * R ] R298.83 : Type {36,72}_24 Order 2592 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^7 * S * R^-5, S^5 * R^-6 * S^7 ] R298.84 : Type {36,72}_24 Order 2592 mV = 24 mF = 6 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^4 * R^-6 * S^8 ] R298.85 : Type {36,72}_24 Order 2592 mV = 24 mF = 6 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^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2, R * S^-1 * R^-1 * S^5 * R^2 * S^5 * R^-1 * S^-1 * R ] R298.86 : Type {36,72}_72 Order 2592 mV = 8 mF = 18 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^-2 * S^2 * R^-1 * S^2 * R^-26 * S, S^18 * R^-1 * S^-9 * R * S^9 ] R298.87 : Type {36,72}_72 Order 2592 mV = 36 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^-14 * S^2 * R^-1 * S^-2 * R^-3 ] R298.88 : Type {36,72}_72 Order 2592 mV = 36 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^36, S^-18 * R^-8 * S^-7 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R298.89 : Type {42,210}_30 Order 2520 mV = 70 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^30 * S^-2 * R * S^-2 * R^7, S^-2 * R^-1 * S^14 * R^-1 * S^-14 ] R298.90 : Type {42,210}_30 Order 2520 mV = 105 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^7 * S * R^-5, S^4 * R^5 * S^-2 * R * S^4, R^8 * S^-2 * R * S^-3 * R * T * R^-2 * S * R^-8 * S * R^-2 * T * R * S^-2 * R * S^-1 * R^8 ] R298.91 : Type {42,210}_30 Order 2520 mV = 105 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^9 * S^-1 * R^3 * S^-1, S^15 * R * S^-7 * R * S^8 ] R298.92 : Type {69,138}_6 Order 2484 mV = 23 mF = 23 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 * R^-1 * S^34 * R^-2 * S * R^-1 * S^2 * R^-3 * S * R^-13 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R298.93 : Type {88,154}_56 Order 2464 mV = 77 mF = 44 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^-2 * S * R^-4 * S * R^-2 * S^6 ] R298.94 : Type {102,204}_12 Order 2448 mV = 68 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^-5 * R * S^6, R^75 * S^-3 * R * S^-3 * R^20 ] R298.95 : Type {102,204}_12 Order 2448 mV = 102 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^7 * S * R^-5, R * S^-1 * R^34 * S^-18 * R^6 * S^-1 * R^12 * S^-1 * R^6 * S^-1 * R^2 * S^-18 * R ] R298.96 : Type {102,204}_12 Order 2448 mV = 102 mF = 51 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^7 * S * R^-5, S * R * S^-5 * R * S^6, R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^3 * S^-1 * R^8 * S^-1 * R^5 * S^-1 * R^5 ] R298.97 : Type {201,402}_6 Order 2412 mV = 201 mF = 67 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^136 * S^-18 * R^6 * S^-1 * T * R^-14 * T * S^-1 * R^6 * S^-18 * R ] R298.98 : Type {300,600}_8 Order 2400 mV = 600 mF = 150 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^146 * S^-1 ] R298.99 : Type {597,1194}_2 Order 2388 mV = 1194 mF = 597 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^286 * T * S^-1 * R^3 * T * S * R^-11 * T * R * S^-1 * R * T * R^-290 * S ] R298.100 : Type {598,598}_2 Order 2392 mV = 598 mF = 598 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^292 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-287 ] R298.101 : Type {1192,1192}_2 Order 2384 mV = 1192 mF = 1192 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^291 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-286 ] Genus 299 R299.1 : Type {4,600}_600 Order 4800 mV = 300 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^150 * R * S^-1 * R * S^149 ] R299.2 : Type {4,600}_600 Order 4800 mV = 300 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^600 ] R299.3 : Type {4,1196}_598 Order 4784 mV = 1196 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^299 * R^2 * S^299 ] R299.4 : Type {6,152}_114 Order 3648 mV = 38 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^19 * R * S^-1 * R^2 * S^-5 * R * S^13 ] R299.5 : Type {6,152}_228 Order 3648 mV = 38 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^19 * R^2 * S^2 * R^-1 * S^-1 * R * S^16 ] R299.6 : Type {6,897}_598 Order 3588 mV = 897 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-150 * R * S * R^-1 * S^-148 ] R299.7 : Type {8,102}_102 Order 3264 mV = 17 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^102 ] R299.8 : Type {8,102}_204 Order 3264 mV = 34 mF = 2 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^102 ] R299.9 : Type {8,400}_400 Order 3200 mV = 200 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^100 * R * S^-1 * R * S^99 ] R299.10 : Type {8,400}_400 Order 3200 mV = 200 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^100 * R^4 * S^3 * T * S^-2 * T * S^95 ] R299.11 : Type {28,48}_336 Order 2688 mV = 24 mF = 7 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^12 * R * S^-1 * R * S^11, R^28 ] R299.12 : Type {28,48}_336 Order 2688 mV = 24 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^28, S^48 ] R299.13 : Type {28,644}_46 Order 2576 mV = 644 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^-2 * S * R^-23 * S * R^-1, S^23 * R^-1 * S^-9 * R * S^14 ] R299.14 : Type {48,624}_26 Order 2496 mV = 624 mF = 24 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^-7 * S^4 * R^-1 * S^4 * R^-29 * S, S^-2 * R^-1 * S^12 * R^-1 * S^-12 ] R299.15 : Type {48,624}_52 Order 2496 mV = 624 mF = 24 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^-7 * S^4 * R^-1 * S^4 * R^-29 * S, S^13 * R^2 * S^13 ] R299.16 : Type {52,312}_24 Order 2496 mV = 156 mF = 13 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^-5 * R * S^6, S^2 * R^-1 * S^3 * R^-6 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^14 * T * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^-7 * S ] R299.17 : Type {52,312}_24 Order 2496 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^-2 * R^-1 * S^11 * R^-1 * S^-11, R^-1 * S * R^-9 * S^4 * R^-1 * S^4 * R^-31 * S ] R299.18 : Type {54,621}_46 Order 2484 mV = 621 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^-11 * R^4 * S^-12 ] R299.19 : Type {78,104}_6 Order 2496 mV = 26 mF = 13 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^-3 * R * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^2 * S^-1 * R * S^-2 * R * S^-2 * R^9 * S^-1 * R^4 * S^-1 * R * S^-1 ] R299.20 : Type {78,104}_12 Order 2496 mV = 26 mF = 26 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, R^-2 * S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-4 * S * R^-1 * S^2 * R^-1 * S^2 ] R299.21 : Type {94,611}_26 Order 2444 mV = 611 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^-2 * R^-1 * S^12 * R^-1 * S^-12, S^11 * R^-1 * S^3 * R^-27 * S^5 ] R299.22 : Type {152,304}_16 Order 2432 mV = 152 mF = 76 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^-1 * S^7 * R^-1 * S^-2, S^-8 * R^41 * S^-3 * R * S^-3 * R^20 ] R299.23 : Type {152,304}_16 Order 2432 mV = 152 mF = 76 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^-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^-7 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * T * R^11 * S^-2 * R * T * S * R^-4 * S^2 * R^-1 * S * R^-8 ] R299.24 : Type {599,1198}_2 Order 2396 mV = 1198 mF = 599 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^287 * T * S^-1 * R^3 * T * S * R^-11 * T * R * S^-1 * R * T * R^-292 ] R299.25 : Type {600,600}_2 Order 2400 mV = 600 mF = 600 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^293 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-287 * R ] R299.26 : Type {600,600}_4 Order 2400 mV = 600 mF = 600 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^298 * S^-1 ] R299.27 : Type {1196,1196}_2 Order 2392 mV = 1196 mF = 1196 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^292 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-286 * R ] Genus 300 R300.1 : Type {3,52}_6 Order 8112 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^52 ] R300.2 : Type {4,303}_606 Order 4848 mV = 101 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-303 ] R300.3 : Type {4,602}_1204 Order 4816 mV = 301 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^602 ] R300.4 : Type {4,1200}_1200 Order 4800 mV = 1200 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^300 * R^2 * S^300 ] R300.5 : Type {6,26}_6 Order 4056 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^-10 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-10 ] R300.6 : Type {6,26}_6 Order 4056 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, 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^26 ] R300.7 : Type {6,302}_906 Order 3624 mV = 151 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^302 ] R300.8 : Type {7,12}_4 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^12, 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 ] R300.9 : Type {7,12}_6 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R ] R300.10 : Type {7,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R^2)^2, S * R * S^-2 * R^-3 * S^-2 * R * S^3 ] R300.11 : Type {7,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-1 * R * S^-1 * R)^2, (R * S^-4 * R^2)^2 ] R300.12 : Type {7,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^3 * R^-1 * S * R^3 * S * R^-1 * S^3 * R^-1 ] R300.13 : Type {7,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R300.14 : Type {8,202}_808 Order 3232 mV = 101 mF = 4 Defining relations for automorphism group: [ R^8, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^202 ] R300.15 : Type {10,152}_760 Order 3040 mV = 76 mF = 5 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^152 ] R300.16 : Type {12,122}_732 Order 2928 mV = 61 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^122 ] R300.17 : Type {14,102}_714 Order 2856 mV = 51 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^102 ] R300.18 : Type {14,700}_100 Order 2800 mV = 700 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^50 * R^2 * S^50 ] R300.19 : Type {22,62}_682 Order 2728 mV = 31 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^62 ] R300.20 : Type {22,660}_60 Order 2640 mV = 660 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^30 * R^-1 * S^-8 * R * S^22 ] R300.21 : Type {26,52}_52 Order 2704 mV = 4 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-26, S^52 ] R300.22 : Type {26,52}_52 Order 2704 mV = 26 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^26 ] R300.23 : Type {26,52}_52 Order 2704 mV = 26 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^52 ] R300.24 : Type {26,650}_50 Order 2600 mV = 650 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^17 * S^-4 * R * S^-1, S^25 * R^-2 * S^25 ] R300.25 : Type {32,42}_672 Order 2688 mV = 21 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^32, S^42 ] R300.26 : Type {52,624}_48 Order 2496 mV = 624 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^-12 * R^2 * S^-12 ] R300.27 : Type {62,620}_20 Order 2480 mV = 620 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^-2 * R^-1 * S^9 * R^-1 * S^-9, R^37 * S^-4 * R * S^-4 * R^16 ] R300.28 : Type {70,90}_126 Order 2520 mV = 45 mF = 35 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^-13 * S^-1, S^-2 * R^-1 * S^13 * R^-1 * S^-3 ] R300.29 : Type {82,615}_30 Order 2460 mV = 615 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^6 * R^-1 * S^2 * R^-1 * S^4 * R^-20 * S^7 ] R300.30 : Type {88,308}_56 Order 2464 mV = 154 mF = 44 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^7 * R^-2 * S * R^-6 * S^6 ] R300.31 : Type {122,610}_10 Order 2440 mV = 610 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^-4 * R * S^5, R^95 * S^-3 * R * S^-3 * R^20 ] R300.32 : Type {202,606}_6 Order 2424 mV = 606 mF = 101 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^175 * S^-3 * R * S^-3 * R^20 ] R300.33 : Type {242,605}_10 Order 2420 mV = 605 mF = 121 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^116 * S^-1 ] R300.34 : Type {302,604}_4 Order 2416 mV = 604 mF = 151 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^302 ] R300.35 : Type {303,303}_4 Order 2424 mV = 101 mF = 101 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^193 * S^-2 * R^15 * S^-89 * R * S^-1 ] R300.36 : Type {601,1202}_2 Order 2404 mV = 1202 mF = 601 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^288 * T * S^-1 * R^3 * T * S * R^-11 * T * R * S^-1 * R * T * R^-292 * S ] R300.37 : Type {602,602}_2 Order 2408 mV = 602 mF = 602 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^294 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-289 ] R300.38 : Type {1200,1200}_2 Order 2400 mV = 1200 mF = 1200 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^293 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-288 ] Genus 301 R301.1 : Type {3,10}_30 Order 18000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-5 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^5 * R * S^-2 * R * S^-1 ] R301.2 : Type {3,12}_60 Order 14400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S ] R301.3 : Type {3,66}_10 Order 7920 mV = 6 mF = 1 Defining relations for automorphism group: [ R^3, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3 ] R301.4 : Type {4,6}_10 Order 14400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, 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, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R ] R301.5 : Type {4,6}_12 Order 14400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^5, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2, (R * S^-2)^6 ] R301.6 : Type {4,12}_20 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R301.7 : Type {4,16}_80 Order 6400 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, R * S^-1 * R^-1 * S * R^-2 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R301.8 : Type {4,16}_80 Order 6400 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, R^-1 * S^-2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 ] R301.9 : Type {4,24}_30 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^-1 ] R301.10 : Type {4,24}_60 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S * R * S^-5 * R * S^6, S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^4 * R^-1 * S * R^-1 ] R301.11 : Type {4,24}_120 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^24 ] R301.12 : Type {4,24}_120 Order 5760 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * R * S * R^-1 * S^-2 ] R301.13 : Type {4,28}_140 Order 5600 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^10, S^28 ] R301.14 : Type {4,52}_130 Order 5200 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^10, S^9 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-5 * R * S * R^-1 * S^-1 * R * S^5 ] R301.15 : Type {4,204}_68 Order 4896 mV = 34 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (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^34 * R^2 * S^3 * R^-1 * S^-1 * R * S^30 ] R301.16 : Type {4,304}_304 Order 4864 mV = 76 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1, S^304 ] R301.17 : Type {4,304}_304 Order 4864 mV = 76 mF = 1 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^76 * R^2 * S * R^-1 * S^-1 * R * S^74 ] R301.18 : Type {4,604}_604 Order 4832 mV = 302 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^604 ] R301.19 : Type {4,1204}_602 Order 4816 mV = 1204 mF = 2 Defining relations for automorphism group: [ R^4, T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^301 * R^2 * S^301 ] R301.20 : Type {5,10}_30 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 ] R301.21 : Type {6,6}_60 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^3 * S^3 * R^-2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ] R301.22 : Type {6,6}_60 Order 7200 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S^-3 * R^-1 * S * R^2 * S^-3 * R^-1 * S * R^2 * S^-3 * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^3 * R^-1 * S ] R301.23 : Type {6,8}_4 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, 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^-2)^4 ] R301.24 : Type {6,8}_20 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S, S * R^-1 * S^-4 * R * S^-2 * R^-1 * S^2 * R^-1 * S^4 * R * S^-1 * R * S^2 ] R301.25 : Type {6,8}_60 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (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 * S^2 * R^-1 * S^-2 * R, (R * S^-1 * R * S^-1 * R^2 * S^-1 * R)^2 ] R301.26 : Type {6,8}_120 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, (R * S^-1 * R * S^-1 * R^2 * S^-1 * R)^2 ] R301.27 : Type {6,12}_20 Order 4800 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^3 * R^-1 * S ] R301.28 : Type {6,12}_20 Order 4800 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] R301.29 : Type {6,12}_40 Order 4800 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-5)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-2 * S^-1 * R * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R301.30 : Type {6,12}_40 Order 4800 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, S^12, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] R301.31 : Type {6,15}_30 Order 4500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-15, S^-1 * R^-2 * S * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S^-1 * R^2 * S * R^-2 * S^-1 * R^2 * S^-1 * R ] R301.32 : Type {6,15}_30 Order 4500 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R * S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S * R^-1 * S * R^2 * S^-1 * R^-2 ] R301.33 : Type {6,18}_18 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^18 ] R301.34 : Type {6,28}_48 Order 4032 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-3, S^-8 * R^3 * S^-6, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R301.35 : Type {6,33}_12 Order 3960 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^2 ] R301.36 : Type {6,39}_130 Order 3900 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R301.37 : Type {6,48}_48 Order 3840 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^8 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^2 ] R301.38 : Type {6,48}_48 Order 3840 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R301.39 : Type {6,78}_156 Order 3744 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^13 * R * S^-1 * R^2 * S^-1 * R * S^11 ] R301.40 : Type {6,78}_156 Order 3744 mV = 26 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^78 ] R301.41 : Type {6,228}_76 Order 3648 mV = 76 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^38 * R^2 * S * R^-1 * S^-4 * R * S^33 ] R301.42 : Type {6,228}_152 Order 3648 mV = 76 mF = 1 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^19 * R * S^-1 * R^2 * S^-1 * R * S^17 ] R301.43 : Type {6,303}_606 Order 3636 mV = 101 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-303 ] R301.44 : Type {6,903}_602 Order 3612 mV = 903 mF = 3 Defining relations for automorphism group: [ R^6, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R, S^-151 * R^2 * S^-150 ] R301.45 : Type {9,18}_20 Order 3600 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, 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^-1 * S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R301.46 : Type {9,24}_36 Order 3456 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R^-1 * S^3 * R * S^-3 * R * S^-2 * R * S^2, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S^8 ] R301.47 : Type {9,24}_36 Order 3456 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^7 * R * S^-7 * R * S^2 ] R301.48 : Type {9,24}_72 Order 3456 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 ] R301.49 : Type {10,15}_6 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-3 * R^-4 * S * R^-4 * S^-1, R * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R ] R301.50 : Type {10,15}_30 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-15 ] R301.51 : Type {10,15}_30 Order 3600 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, S^-15 ] R301.52 : Type {10,15}_30 Order 3600 mV = 5 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^-1 * S * R^-4 * S * R^3 * S * R^-4 * S, S * R^-1 * S^2 * R^-4 * S^2 * R^-1 * S * R^-1 * S * R^-1 ] R301.53 : Type {10,40}_10 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R^-4 * S^2 * R^-1 * S * R^-1 * S^-1, R^-1 * S * R^2 * S^-1 * R^-2 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 ] R301.54 : Type {10,40}_20 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^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^2 * S^-1 * R^-2 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 ] R301.55 : Type {10,65}_78 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ R^10, T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] R301.56 : Type {12,12}_30 Order 3600 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, 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^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R301.57 : Type {12,12}_30 Order 3600 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^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-2 ] R301.58 : Type {12,12}_30 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-3 * R^2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R301.59 : Type {12,12}_30 Order 3600 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^-3)^2, R^12, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R301.60 : Type {12,60}_10 Order 3000 mV = 15 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, R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S ] R301.61 : Type {15,60}_12 Order 2880 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^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-15, S^5 * R^-3 * S^7 ] R301.62 : Type {16,16}_20 Order 3200 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^16, 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 ] R301.63 : Type {16,16}_20 Order 3200 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^16, 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 ] R301.64 : Type {16,16}_40 Order 3200 mV = 4 mF = 4 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 * 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 ] R301.65 : Type {16,88}_176 Order 2816 mV = 11 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^88 ] R301.66 : Type {16,88}_176 Order 2816 mV = 11 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^16, S^88 ] R301.67 : Type {16,88}_176 Order 2816 mV = 22 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^16, S^22 * R^-6 * S^7 * R^2 * S^15 ] R301.68 : Type {16,88}_176 Order 2816 mV = 22 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^22 * R^2 * S^2 * R^-1 * S^-3 * R * S^17 ] R301.69 : Type {16,88}_176 Order 2816 mV = 22 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^16, S^22 * R^-5 * S^-6 * R^-1 * S * R^2 * S^15 ] R301.70 : Type {16,88}_176 Order 2816 mV = 22 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^88 ] R301.71 : Type {16,88}_176 Order 2816 mV = 44 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^16, S^22 * R * S^-1 * R * S^21 ] R301.72 : Type {16,88}_176 Order 2816 mV = 44 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^88 ] R301.73 : Type {16,688}_86 Order 2752 mV = 688 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^16, S^43 * R * S^-2 * R * S^41 ] R301.74 : Type {16,688}_172 Order 2752 mV = 688 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^16, S^43 * R * S^-6 * R * S^37 ] R301.75 : Type {18,171}_76 Order 2736 mV = 57 mF = 3 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, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^-1 * S * T * S^-1 * R^13 * T * S^2, S^-10 * R * S * R^-1 * S^-1 * R * S^4 * R^-1 * S^-3 ] R301.76 : Type {20,30}_12 Order 2880 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^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, (R * S^-1)^6 ] R301.77 : Type {20,30}_12 Order 2880 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R * S^-1 * R^6 * S^-1 * R * S^4 ] R301.78 : Type {24,24}_6 Order 2880 mV = 4 mF = 4 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^2 * R^-1 * S, S * R^6 * S^5, S^4 * R^-2 * S * R^-8 * S * R^-1 * S^3 * R^-2 * S * R^-1 ] R301.79 : Type {24,24}_6 Order 2880 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^6 * S^5, R^3 * S^-1 * R^3 * S^-2 * R * S^-2 ] R301.80 : Type {24,24}_6 Order 2880 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^6 * S^-5, R * S^-2 * R^4 * S * R^-2 * S^-2 ] R301.81 : Type {24,24}_6 Order 2880 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^6 * S^-5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2)^4, S^-1 * R * S^-1 * R^5 * S * R^-1 * S * R^-1 * S^-1 * R ] R301.82 : Type {24,24}_10 Order 2880 mV = 6 mF = 4 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^-3 * R * S^4, S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-2 * R^9 * S^-2 * R^2 ] R301.83 : Type {24,24}_10 Order 2880 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, R^7 * S^-1 * R * S^-1 * R * S^-1, (R^3 * S^-1)^3 ] R301.84 : Type {24,84}_28 Order 2688 mV = 14 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^-1 * R^6 * S^-1 * R * S^-2 * R, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-5 * R^2 * S^-1 * R^2 * S^-8 ] R301.85 : Type {24,84}_28 Order 2688 mV = 21 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^14 * R * S^-7 * R * S^7 ] R301.86 : Type {24,84}_56 Order 2688 mV = 14 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, (R * S^-3 * R^2)^2, S^-3 * R^-1 * S^2 * R * S^-1 * R^-3 * S^6 * R^-1 * S^-2 ] R301.87 : Type {24,84}_56 Order 2688 mV = 21 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^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^11 * S^-1 * R * S^-2 * R, S^14 * R * S^-7 * R * S^7 ] R301.88 : Type {27,54}_10 Order 2700 mV = 9 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^2 * S^-1 * R^2 * S^4, S^-1 * R * S^-3 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2, S * R^-1 * S^5 * R^-1 * S * R^-15 * S^3 ] R301.89 : Type {28,28}_10 Order 2800 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, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R^-3 * S * R^-1 * S * R^-8 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^4 ] R301.90 : Type {30,45}_90 Order 2700 mV = 3 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^-1 * S^2 * R^-25 * S, S^-45 ] R301.91 : Type {30,645}_86 Order 2580 mV = 645 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 * R^-1 * S^2 * R^-23 * S * R^-1, S^-22 * R^2 * S^-21 ] R301.92 : Type {40,160}_32 Order 2560 mV = 40 mF = 10 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 * T * S^-1 * R^-1 * S^3 * R^2 * S^5 * R^-1 * S^-1 * T * S^2, R^-4 * S * R^-2 * S * R^-1 * S^2 * R^-18 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-4 ] R301.93 : Type {40,160}_32 Order 2560 mV = 40 mF = 10 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^7 * R^-2 * S^2 * R^-2 * S^7 ] R301.94 : Type {40,160}_32 Order 2560 mV = 40 mF = 10 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 * S^-3 * R^2 * S^-2 * R^5 * S^-1 * R^2 * S^-3, S * R * S^-1 * R^-1 * S * R * S^-5 * R^3 * S^8 ] R301.95 : Type {40,160}_32 Order 2560 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, R^-1 * S * R^-4 * S^2 * R^-1 * S^2 * R^-28 * S, S^-2 * R^-1 * S^15 * R^-1 * S^-15 ] R301.96 : Type {40,160}_32 Order 2560 mV = 80 mF = 10 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^-2 * S * R^-2 * S^9 ] R301.97 : Type {40,160}_32 Order 2560 mV = 80 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, R^-1 * S * R^-1 * T * S^-1 * R^12 * T * R^-4, S^16 * R * S^-5 * R * S^11 ] R301.98 : Type {52,52}_10 Order 2600 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, R^-2 * S^-1 * T * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * T * S^-1 * R * S^-1, S^-1 * R * S^-1 * R * S^-2 * R * S^-3 * R * S^-1 * R^8 * S^-1 * R * S^-1 * R * S^-1 * R ] R301.99 : Type {54,54}_12 Order 2592 mV = 9 mF = 18 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, S * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^5 * R^-3 * S^2 * R^-11 * S * R^-1 * S^6 * R^-1 * S^2 ] R301.100 : Type {78,156}_4 Order 2496 mV = 52 mF = 13 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^-2 * S^2 * R^-16 * S^2 * R^-17 * S^36 * R^-3 ] R301.101 : Type {78,156}_8 Order 2496 mV = 52 mF = 26 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^52 * R^-3 * S * R^-17 * S ] R301.102 : Type {88,616}_14 Order 2464 mV = 616 mF = 44 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^-6 * R * S^2, S^27 * R^-11 * S^4 * R^-1 * S^4 * R^-40 * S ] R301.103 : Type {88,616}_28 Order 2464 mV = 616 mF = 44 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^13 * R^-1 * S^-13, S^-7 * R^21 * S^-4 * R * S^-11 ] R301.104 : Type {153,306}_4 Order 2448 mV = 102 mF = 51 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^131 * R^-18 * S ] R301.105 : Type {174,609}_14 Order 2436 mV = 609 mF = 87 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^-6 * R * S^2, S^-6 * R^54 * S^-3 * R * S^-3 * R^19 * S^-1 ] R301.106 : Type {204,204}_6 Order 2448 mV = 102 mF = 68 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^136 * S^-18 * R^6 * S^-1 * R^15 * S^-1 * R^3 * S^-1 * R^2 * S^-18 * R ] R301.107 : Type {204,204}_6 Order 2448 mV = 102 mF = 102 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 * R^-29 * S^3 * R^-3 * S * R^-1 * S^2 * R^-1 * T * R^2 * S^-1 * R^8 * S^-1 * R^2 * T * R^-3 * S * R^-2 * S * R^-1 * S^3 ] R301.108 : Type {304,304}_4 Order 2432 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^277 * S^-3 * R * S^-3 * R^20 ] R301.109 : Type {304,304}_4 Order 2432 mV = 152 mF = 152 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^-116 * S^2 * R^-1 * S * R^-4 * S^2 * R^-11 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 ] R301.110 : Type {304,304}_8 Order 2432 mV = 152 mF = 152 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^86 * S^-18 * R^6 * S^-1 * R^13 * S^-1 * R^6 * S^-1 * R * S^-19 ] R301.111 : Type {603,1206}_2 Order 2412 mV = 1206 mF = 603 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^288 * R^-1 * S^2 * T * S^-1 * R^3 * T * S * R^-11 * T * R * S^-1 * R * S^-1 * T * R^-291 ] R301.112 : Type {604,604}_2 Order 2416 mV = 604 mF = 604 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^580 * R^-1 * S^2 * T * S^-1 * R^3 * T * S * R^-11 * T * R * S^-1 * R * S^-1 * T ] R301.113 : Type {1204,1204}_2 Order 2408 mV = 1204 mF = 1204 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^294 * T * R^-1 * S * R^-1 * T * R^11 * S^-1 * T * R^-3 * S * T * S^-288 * R ] Total number of maps in list above: 15824 Marston Conder August 2012 and February 2013