Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
165 Primitive 1 3 1, 36, 128 m b g M view
176 Primitive 1 3 1, 40, 135 m b g M view
297 Primitive 1 3 1, 40, 256 m b g M view
1408 Primitive 1 7 1, 30, 812, 135, 270, 810 m b g M view
3520 Primitive 1 12 1, 12, 24, 54, 81, 108, 2163, 324, 972, 1296 m b g M view
20736 Primitive 1 76 1, 112, 558, 663, 11010, 1659, 2203, 33029, 66011 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z[i] 10 − χ2 Z 2 Abs irr m b g M view
0 Z[ω] 10 − χ2 Z 2 Abs irr m b g M view
0 Z[i2] 10 − χ2 Z 2 Abs irr m b g M view
0 Z[ω] 11 a o χ3 Z[ω] 1 Abs irr m b g M view
0 Z[ω] 11 b o χ4 Z[ω] 1 Abs irr m b g M view
0 Z 20 2χ2 Irr not abs irr m b g M view
0 Q 44 + χ5 Z 1 Abs irr m b g M view
0 Z 55 + χ6 Z 1 Abs irr m b g M view
0 Q(ω) 55 a o χ7 ? m b g M view
0 Q(ω) 55 b o χ8 ? m b g M view
0 Z[ω] 66 a o χ9 ? m b g M view
0 Z[ω] 66 b o χ10 ? m b g M view
0 Q(ω) 110 b o χ12 ? m b g M view
0 Q(ω) 110 c o χ13 ? m b g M view
0 Z 120 + χ16 ? m b g M view
0 Z 165 + χ17 ? m b g M view
0 Z 176 + χ18 ? m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(4) 5 a Abs irr m b g M view
2 GF(4) 5 b Abs irr m b g M view
2 GF(4) 10 a Abs irr m b g M view
2 GF(4) 10 b Abs irr m b g M view
2 GF(2) 24 Abs irr m b g M view
2 GF(2) 74 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 10 Abs irr m b g M view
3 GF(3) 44 Abs irr m b g M view
3 GF(3) 55 Abs irr m b g M view
3 GF(3) 100 Abs irr m b g M view
3 GF(3) 110 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 43 Abs irr m b g M view
5 GF(5) 55 a Abs irr m b g M view
5 GF(5) 120 Abs irr m b g M view
5 GF(5) 176 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
11 GF(11) 44 Abs irr m b g M view
11 GF(11) 55 a ? m b g M view
11 GF(11) 119 Abs irr m b g M view
11 GF(11) 176 Abs irr m b g M view