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