Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
496 Primitive 1 3 1, 240, 255 S8(2) m b g M view
527 Primitive 1 3 1, 256, 270 28:O8+(2) m b g M view
2295 a Primitive 1 3 1, 310, 1984 210:L5(2) m b g M view
2295 b Primitive 1 3 1, 310, 1984 210:L5(2) m b g M view
19840 Primitive 1 5 1, 357, 1632, 6426, 11424 (O8−(2) × 3):2 m b g M view
23715 Primitive 1 6 1, 192, 210, 1680, 8192, 13440 21+12:(S3 × A8) m b g M view
39680 Trans but imp 1 8 12, 3572, 3264, 64262, 22848 O8−(2) × 3 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 155 + χ2 Z 1 Abs irr m b g M view
0 Z 186 + χ3 Z 1 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(2) 10 + φ2 0 1 Abs irr m b g M view
2 GF(2) 16 a o φ3 0 1 Abs irr m b g M view
2 GF(2) 16 b o φ4 0 1 Abs irr m b g M view
2 GF(2) 44 + φ5 1 1 Abs irr m b g M view
2 GF(2) 100 + φ6 1 Abs irr m b g M view
2 GF(2) 144 a o φ7 0 Abs irr m b g M view
2 GF(2) 144 b o φ8 0 Abs irr m b g M view
2 GF(2) 164 − φ9 1 Abs irr m b g M view
2 GF(2) 320 + φ10 0 Abs irr m b g M view
2 GF(2) 416 a o φ11 0 Abs irr m b g M view
2 GF(2) 416 b o φ12 0 Abs irr m b g M view
2 GF(2) 670 + φ13 2 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 155 Abs irr m b g M view
3 GF(3) 185 Abs irr m b g M view
3 GF(3) 868 Abs irr m b g M view