Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
13 a Primitive 2 2 1, 12 1 + 12 32:2S4 m b g M view
13 b Primitive 2 2 1, 12 1 + 12 32:2S4 m b g M view
144 Primitive 1 8 1, 135, 392 13:3 m b g M view
234 Primitive 1 18 1, 3, 42, 6, 128, 245 S4 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 12 + χ2 Z 1 Abs irr m b g M view
0 Z 13 + χ3 Z 1 Abs irr m b g M view
0 Z 26 a + χ8 Z 1 Abs irr m b g M view
0 Z[i2] 26 b o χ9 Z[i2] 1 Abs irr m b g M view
0 Z[i2] 26 c o χ10 Z[i2] 1 Abs irr m b g M view
0 Z 27 + χ11 Z 1 Abs irr m b g M view
0 Z 39 + χ12 Z 1 Abs irr m b g M view
0 Z 52 o χ9 + χ10 Irr not abs irr m b g M view
0 Z 64 o χ4 + χ5 + χ6 + χ7 Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(2) 12 + 1 1 Abs irr m b g M view
2 GF(16) 16 a o 0 0 Abs irr m b g M view
2 GF(2) 26 + 1 1 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 3 a o 0 0 Abs irr m b g M view
3 GF(3) 3 b o 0 0 Abs irr m b g M view
3 GF(3) 6 a o 0 0 Abs irr m b g M view
3 GF(3) 6 b o 0 0 Abs irr m b g M view
3 GF(3) 7 + 1 2 Abs irr m b g M view
3 GF(3) 15 a o 1 0 Abs irr m b g M view
3 GF(3) 15 b o 1 0 Abs irr m b g M view
3 GF(3) 27 + 0 0 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
13 GF(13) 11 + 1 0 Abs irr m b g M view
13 GF(13) 13 + 0 0 Abs irr m b g M view
13 GF(13) 16 + 0 1 Abs irr m b g M view
13 GF(13) 26 a + 0 0 Abs irr m b g M view
13 GF(169) 26 b o 0 0 Abs irr m b g M view
13 GF(169) 26 c o 0 0 Abs irr m b g M view
13 GF(13) 39 + 0 0 Abs irr m b g M view