Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
6156 Primitive 1 8 1, 85, 120, 510, 680, 13602, 2040 1 + 323ab + 324 + 1140 + 1215ab + 1615 m b g M view
14688 a Primitive 1 14 1, 285, 342, 380, 5702, 8552, 11402, 17103, 3420 m b g M view
14688 b Primitive 1 14 1, 285, 342, 380, 5702, 8552, 11402, 17103, 3420 1+85ab+1140aa+1215ab+1615+1920abc+2432 m b g M view
17442 Primitive 1 19 1, 5, 20, 80, 96, 120, 320, 4802, 9606, 1440, 28803 m b g M view
20520 Primitive 1 22 1, 1022, 153, 272, 3063, 6123, 8163, 12244, 24484 m b g M view
23256 Primitive 1 28 1, 80, 135, 180, 5405, 7207, 108010, 21602 m b g M view
25840 Primitive 1 20 1, 81, 2432, 9726, 194410 m b g M view
26163 Primitive 1 27 1, 10, 80, 120, 192, 3202, 480, 640, 96011, 19207 m b g M view
43605 Primitive 1 57 1, 8, 12, 32, 963, 1282, 1924, 3848, 5764, 115232 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 170 o χ2+χ3 ? m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(4) 78 b Abs irr m b g M view
2 GF(2) 80 Abs irr m b g M view
2 GF(4) 84 a Abs irr m b g M view
2 GF(2) 244 Abs irr m b g M view
2 GF(2) 248 ? m b g M view
2 GF(4) 322 a Abs irr m b g M view
2 GF(2) 966 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(9) 18 b Abs irr m b g M view
3 GF(9) 84 b Abs irr m b g M view
3 GF(9) 153 b Abs irr m b g M view
3 GF(3) 324 Abs irr m b g M view
3 GF(3) 934 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 85 a Abs irr m b g M view
5 GF(5) 323 Abs irr m b g M view
5 GF(5) 646 Abs irr m b g M view
5 GF(5) 816 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
17 GF(17) 85 b Abs irr m b g M view
17 GF(17) 324 Abs irr m b g M view
17 GF(17) 379 Abs irr m b g M view
17 GF(17) 646 c Irr not abs irr m b g M view
17 GF(17) 761 Abs irr m b g M view
17 GF(17) 816 Abs irr m b g M view
17 GF(17) 836 Abs irr m b g M view
17 GF(17) 1292 Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
19 GF(19) 85 Abs irr m b g M view
19 GF(19) 110 Abs irr m b g M view
19 GF(19) 214 Abs irr m b g M view
19 GF(19) 323 a Abs irr m b g M view
19 GF(19) 646 a Abs irr m b g M view
19 GF(19) 706 Abs irr m b g M view
19 GF(19) 919 Abs irr m b g M view
19 GF(19) 1001 Abs irr m b g M view