Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
14 Primitive 12 2 1, 13 A13 m b g M view
91 Primitive 1 3 1, 24, 66 S12 m b g M view
364 Primitive 1 4 1, 33, 1652 (A11 × 3):2 m b g M view
1001 Primitive 1 5 1, 40, 210, 270, 480 (A10 × A4):2 m b g M view
1716 Primitive 1 4 1, 49, 441, 1225 (A7 × A7):4 m b g M view
2002 Primitive 1 6 1, 45, 126, 360, 630, 840 (A9 × A5):2 m b g M view
3003 Primitive 1 7 1, 28, 48, 336, 420, 1050, 1120 (A8 × A6):2 m b g M view
135135 Primitive 1 15 1, 42, 280, 420, 840, 1680, 33602, 4480, 8064,
10080, 13440, 16128, 26880, 46080		 26:S7 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 13 + χ2 Z 1 Abs irr m b g M view
0 Z 77 + χ3 Z 1 Abs irr m b g M view
0 Z 78 + χ4 Z 1 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(2) 12 Abs irr m b g M view
2 GF(2) 64 a Abs irr m b g M view
2 GF(2) 64 b Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 13 Abs irr m b g M view
3 GF(3) 64 Abs irr m b g M view
3 GF(3) 78 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 13 Abs irr m b g M view
5 GF(5) 77 Abs irr m b g M view
5 GF(5) 78 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(7) 12 Abs irr m b g M view
7 GF(7) 66 Abs irr m b g M view
7 GF(7) 77 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
11 GF(11) 13 Abs irr m b g M view
11 GF(11) 77 Abs irr m b g M view
11 GF(11) 78 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
13 GF(13) 13 Abs irr m b g M view
13 GF(13) 76 Abs irr m b g M view
13 GF(13) 78 Abs irr m b g M view