Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
12 Primitive 12 2 1, 11 1+ + 11+ S11 m b g M view
66 Primitive 1 3 1, 20, 45 S10 × 2 m b g M view
220 Primitive 1 4 1, 27, 84, 108 S9 × S3 m b g M view
462 Primitive 1 4 1, 36, 200, 225 (S6 × S6):2 m b g M view
495 Primitive 1 5 1, 32, 70, 168, 224 S8 × S4 m b g M view
792 Primitive 1 6 1, 21, 35, 175, 210, 350 S7 × S5 m b g M view
5040 Trans but imp 1 8 1, 66, 144, 440, 495, 990, 1320, 1584 M12 m b g M view
5775 Primitive 1 9 1, 48, 54, 128, 216, 576, 1296, 17282 S4 wr S3 m b g M view
10395 Primitive 1 11 1, 30, 120, 160, 180, 640, 720, 960, 1440, 2304, 3840 26:S6 m b g M view
15400 Primitive 1 12 1, 54, 144, 216, 243, 486, 6482, 1296, 38883 S4 wr S3 m b g M view