Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
672 Primitive 1 3 1, 176, 495 m b g M view
693 Primitive 1 3 1, 180, 512 m b g M view
891 Primitive 1 4 1, 42, 336, 512 m b g M view
1408 a Primitive 1 3 1, 567, 840 m b g M view
1408 b Primitive 1 3 1, 567, 840 m b g M view
1408 c Primitive 1 3 1, 567, 840 m b g M view
2816 a Trans but imp 1 5 12, 5672, 1680 m b g M view
2816 b Trans but imp 1 5 12, 5672, 1680 m b g M view
2816 c Trans but imp 1 5 12, 5672, 1680 m b g M view
6237 Primitive 1 5 1, 60, 160, 1920, 4096 m b g M view
6336 a Primitive 1 4 1, 315, 2240, 3780 m b g M view
6336 b Primitive 1 4 1, 315, 2240, 3780 m b g M view
6336 c Primitive 1 4 1, 315, 2240, 3780 m b g M view
12474 Trans but imp 1 8 12, 120, 1602, 3840, 40962 m b g M view
20736 a Primitive 1 8 1, 77, 231, 1155, 1232, 2640, 6160, 9240 m b g M view
20736 b Primitive 1 8 1, 77, 231, 1155, 1232, 2640, 6160, 9240 m b g M view
20736 c Primitive 1 8 1, 77, 231, 1155, 1232, 2640, 6160, 9240 m b g M view
59136 Primitive 1 15 1, 80, 240, 270, 360, 405, 16203, 2160, 43202, 6480, 9720, 25920 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 22 ? m b g M view
0 Z 231 ? m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(2) 20 Abs irr m b g M view
2 GF(2) 34 Abs irr m b g M view
2 GF(4) 70 a Abs irr m b g M view
2 GF(4) 70 b Abs irr m b g M view
2 GF(2) 140 Irr not abs irr m b g M view
2 GF(2) 154 Abs irr m b g M view
2 GF(2) 400 Abs irr m b g M view
2 GF(4) 896 a Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 21 Abs irr m b g M view
3 GF(3) 210 Abs irr m b g M view
3 GF(3) 229 Abs irr m b g M view
3 GF(3) 364 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 22 Abs irr m b g M view
5 GF(5) 231 Abs irr m b g M view
5 GF(5) 252 Abs irr m b g M view
5 GF(5) 440 Abs irr m b g M view
5 GF(5) 616 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(7) 22 Abs irr m b g M view
7 GF(7) 231 Abs irr m b g M view
7 GF(7) 252 Abs irr m b g M view
7 GF(7) 439 Abs irr m b g M view
7 GF(7) 616 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
11 GF(11) 22 Abs irr m b g M view
11 GF(11) 231 Abs irr m b g M view
11 GF(11) 251 Abs irr m b g M view
11 GF(11) 440 Abs irr m b g M view
11 GF(11) 616 Abs irr m b g M view