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User:Tomruen/Orientable regular maps

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Source Orientable regular maps of genus 2 to 101, filtered to genus 2 to 40, and mV = mF = 1

Name Type Order Self-dual Generators
R10.1 {3,9}_12 648 [ 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 ]
R10.13 {6,6}_6 216 Self-dual [ 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 {6,6}_6 216 Self-dual [ 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 ]
R10.2 {3,12}_6 432 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^12 ]
R10.6 {4,5}_8 720 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (S^-1 * R)^5 ]
R10.7 {4,6}_12 432 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2 * R * S^-1)^2 ]
R10.8 {4,6}_12 432 [ 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 {4,7}_8 336 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-7 ]
R11.1 {4,6}_10 480 [ 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 ]
R11.5 {6,6}_6 240 Self-dual [ 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 ]
R13.1 {3,10}_30 720 [ 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 {3,12}_12 576 [ 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 ]
R14.1 {3,7}_12 2184 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (S * R^-1 * S)^6 ]
R14.2 {3,7}_26 2184 [ 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 {3,7}_14 2184 [ 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 ]
R15.1 {3,9}_14 1008 [ 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 {3,14}_6 588 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^14 ]
R15.4 {4,6}_8 672 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (S * R^-1 * S)^3 ]
R16.1 {3,8}_10 1440 [ 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 {4,5}_30 1200 [ 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 {4,10}_4 400 [ 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 ]
R16.6 {5,5}_6 600 Self-dual [ 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 ]
R17.1 {3,8}_12 1536 [ 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 ]
R17.16 {5,6}_8 480 [ 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 ]
R17.20 {6,6}_4 384 Self-dual [ 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 {6,6}_8 384 Self-dual [ 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 {6,6}_8 384 Self-dual [ 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 ]
R17.3 {4,6}_12 768 [ 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 {4,6}_6 768 [ 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 {4,6}_12 768 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, (R * S^-2)^4 ]
R17.7 {4,8}_8 512 [ 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 {4,8}_8 512 [ 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 ]
R19.13 {5,5}_10 720 Self-dual [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (R * S^-1)^4 ]
R19.23 {7,7}_6 336 Self-dual [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-1)^4, S^-7, (R^-2 * S)^3 ]
R19.3 {4,5}_8 1440 [ 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 {4,7}_8 672 [ 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 ]
R21.1 {3,16}_6 768 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^16 ]
R21.14 {6,6}_6 480 Self-dual [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-2 * R)^2 ]
R21.15 {6,8}_6 384 [ 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 ]
R21.3 {4,6}_20 960 [ 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 ]
R22.1 {3,8}_42 2016 [ 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 {3,8}_24 2016 [ 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 {4,8}_14 672 [ 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 {4,8}_6 672 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^3 ]
R25.1 {3,10}_8 1440 [ 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 ]
R25.18 {6,6}_6 576 [ 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 {6,6}_24 576 [ 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 ]
R25.3 {3,12}_24 1152 [ 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 ]
R25.8 {4,12}_4 576 [ 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 ]
R26.1 {3,10}_30 1500 [ 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 {3,11}_10 1320 [ 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 ]
R26.5 {5,10}_10 500 [ 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 ]
R28.1 {3,12}_18 1296 [ 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 ]
R28.10 {6,6}_6 648 Self-dual [ 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 {6,6}_18 648 [ 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 ]
R28.2 {3,12}_18 1296 [ 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 ]
R28.4 {3,18}_6 972 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^18 ]
R28.6 {4,6}_12 1296 [ 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 ]
R28.9 {6,6}_6 648 [ 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 ]
R29.1 {4,6}_8 1344 [ 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 ]
R29.9 {6,6}_8 672 Self-dual [ 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 ]
R3.1 {3,7}_8 336 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (R * S^-2)^4 ]
R3.2 {3,8}_6 192 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^3 ]
R31.12 {6,6}_6 720 Self-dual [ 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 ]
R31.3 {4,6}_30 1440 [ 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 ]
R33.1 {3,8}_24 3072 [ 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 ]
R33.10 {4,8}_16 1024 [ 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 {4,8}_8 1024 [ 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 {4,8}_8 1024 [ 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 {4,8}_8 1024 [ 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 {4,8}_16 1024 [ 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 {4,8}_16 1024 [ 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 ]
R33.21 {4,12}_12 768 [ 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 ]
R33.23 {4,12}_24 768 [ 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 ]
R33.3 {3,12}_8 1536 [ 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 ]
R33.32 {6,6}_8 768 [ 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 {6,6}_4 768 Self-dual [ 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 {6,6}_8 768 Self-dual [ 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 {6,6}_8 768 Self-dual [ 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 {6,6}_8 768 Self-dual [ 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 {6,7}_14 672 [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-7 ]
R33.39 {8,8}_8 512 Self-dual [ 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 ]
R33.4 {3,12}_16 1536 [ 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 ]
R33.40 {8,8}_8 512 Self-dual [ 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 ]
R33.5 {4,6}_6 1536 [ 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 ]
R33.52 {8,8}_8 512 Self-dual [ 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 {8,8}_4 512 Self-dual [ 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 ]
R33.6 {4,6}_12 1536 [ 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 {4,6}_24 1536 [ 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 {4,6}_24 1536 [ 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 ]
R34.1 {4,5}_22 2640 [ 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 {4,5}_12 2640 [ 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 ]
R34.6 {5,5}_12 1320 Self-dual [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (S^-1 * R^2 * S^-1)^3 ]
R34.7 {5,5}_10 1320 Self-dual [ 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 ]
R36.10 {6,8}_6 672 [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^8, (R * S^-3 * R)^2 ]
R36.12 {6,10}_6 600 [ 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 ]
R36.3 {3,20}_6 1200 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^20 ]
R36.4 {4,14}_4 784 [ 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 ]
R36.9 {6,8}_4 672 [ 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 ]
R37.1 {3,12}_12 1728 [ 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 ]
R37.10 {4,8}_6 1152 [ 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 ]
R37.13 {4,10}_12 960 [ 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 ]
R37.2 {3,15}_20 1440 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, S^-15 ]
R37.23 {6,6}_12 864 Self-dual [ 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 ]
R37.8 {4,6}_12 1728 [ 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 {4,8}_12 1152 [ 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 ]
R4.2 {4,5}_6 240 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-2 * R * S^-1)^2 ]
R4.3 {4,6}_4 144 [ 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 ]
R4.6 {5,5}_6 120 Self-dual [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S^-1 * R)^3 ]
R40.10 {7,8}_6 672 [ 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 ]
R40.9 {7,8}_4 672 [ 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 ]
R5.1 {3,8}_12 384 [ 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 ]
R5.3 {4,5}_10 320 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^4 ]
R5.4 {4,6}_12 192 [ 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 ]
R5.9 {5,5}_4 160 Self-dual [ 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 ]
R6.1 {3,10}_6 300 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^10 ]
R6.2 {4,6}_10 240 [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^6 ]
R7.1 {3,7}_18 1008 [ 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 ]
R8.1 {3,8}_8 672 [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4 ]
R8.2 {3,8}_14 672 [ 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 ]
R9.14 {5,5}_8 320 Self-dual [ 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 ]
R9.16 {5,6}_4 240 [ 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 {6,6}_8 192 Self-dual [ 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 {6,6}_4 192 Self-dual [ 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 ]
R9.2 {4,5}_20 640 [ 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 {4,6}_24 384 [ 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 {4,6}_6 384 [ 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 {4,8}_8 256 [ 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 {4,8}_4 256 [ 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 ]
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