Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
1600 Primitive 1 4 1, 312, 351, 936 m b g M view
1755 Primitive 1 5 1, 10, 80, 640, 1024 m b g M view
2304 Primitive 1 7 1, 78, 3002, 3252, 975 m b g M view
2925 Primitive 1 6 1, 12, 96, 768, 10242 m b g M view
12480 Primitive 1 24 1, 20, 45, 90, 120, 144, 180, 3605, 72010, 14402 m b g M view
14976 Primitive 1 25 1, 75, 100, 1502, 300, 4004, 6009, 12006 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 C 26 a o χ2 ? m b g M view
0 C 26 b o χ3 ? m b g M view
0 Q(i) 27 a o χ4 ? m b g M view
0 Q(i) 27 b o χ5 ? m b g M view
0 Z 52 o χ2+χ3 ? m b g M view
0 Z 78 + χ6 ? m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(2) 26 Abs irr m b g M view
2 GF(2) 246 Abs irr m b g M view
2 GF(4) 2048 a Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 26 a Abs irr m b g M view
3 GF(3) 26 b Abs irr m b g M view
3 GF(9) 27 a Abs irr m b g M view
3 GF(9) 27 b Abs irr m b g M view
3 GF(3) 54 Irr not abs irr m b g M view
3 GF(3) 77 Abs irr m b g M view
3 GF(3) 124 a Abs irr m b g M view
3 GF(3) 124 b Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(25) 26 a Abs irr m b g M view
5 GF(25) 26 b Abs irr m b g M view
5 GF(5) 27 a Abs irr m b g M view
5 GF(5) 27 b Abs irr m b g M view
5 GF(5) 52 Irr not abs irr m b g M view
5 GF(5) 78 Abs irr m b g M view
5 GF(25) 109 a Abs irr m b g M view
5 GF(25) 109 b Abs irr m b g M view
5 GF(5) 218 Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
13 GF(169) 26 Abs irr m b g M view
13 GF(13) 27 a Abs irr m b g M view
13 GF(13) 27 b Abs irr m b g M view
13 GF(13) 52 Irr not abs irr m b g M view
13 GF(13) 78 Abs irr m b g M view