Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
1782 Primitive 1 3 1, 416, 1365 1 + 780 + 1001 G2(4) m b g M view
22880 Primitive 1 5 1, 280, 486, 8505, 13608 1 + 364 + 780 + 5940 + 15795 32.U4(3).23' m b g M view
32760 Primitive 1 6 1, 891, 1980, 2816, 6336, 20736 1 + 143 + 364 + 5940 + 12012 + 14300 U5(2) m b g M view
135135 Primitive 1 9 1, 54, 360, 1728, 5120, 9216, 17280, 46080, 55296 21+6.U4(2) m b g M view
232960 Primitive 1 13 1, 165, 891, 26732, 2916, 160382, 17820, 400953, 53460 35:M11 m b g M view
370656 Primitive 0 0 J2:2 m b g M view
405405 Primitive 0 0 24+6:3A6 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 143 + χ2 Z 1 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(4) 110 a Abs irr m b g M view
2 GF(2) 142 Abs irr m b g M view
2 GF(4) 572 a Abs irr m b g M view
2 GF(4) 572 b Abs irr m b g M view
2 GF(2) 638 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 64 Abs irr m b g M view
3 GF(3) 78 Abs irr m b g M view
3 GF(3) 286 Abs irr m b g M view
3 GF(3) 429 Abs irr m b g M view
3 GF(3) 649 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 143 Abs irr m b g M view
5 GF(5) 363 Abs irr m b g M view
5 GF(5) 780 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(7) 143 Abs irr m b g M view
7 GF(7) 364 Abs irr m b g M view
7 GF(7) 780 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
11 GF(11) 143 Abs irr m b g M view
11 GF(11) 364 Abs irr m b g M view
11 GF(11) 779 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
13 GF(13) 143 Abs irr m b g M view
13 GF(13) 364 Abs irr m b g M view
13 GF(13) 780 Abs irr m b g M view