Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
275 Primitive 1 3 1, 112, 162 1+22+252 m b g M view
4050 Trans but imp 1 8 1, 22, 176, 330, 462, 672, 1155, 1232 m b g M view
7128 Primitive 1 5 1, 252, 750, 2625, 3500 m b g M view
22275 a Primitive 1 11 1, 112, 210, 420, 1120, 1260, 25202, 3360, 4032, 6720 m b g M view
44550 Trans but imp 1 26 1, 35, 112, 120, 140, 210, 336, 420, 560, 6722, 8402, 16804, 22402, 2520, 33603, 4032, 5040, 6720 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(2) 22 Abs irr m b g M view
2 GF(2) 230 a Abs irr m b g M view
2 GF(4) 896 a m b g M view
2 GF(4) 896 b ? m b g M view
2 GF(2) 1496 a Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 21 a Abs irr m b g M view
3 GF(3) 104 a Abs irr m b g M view
3 GF(3) 104 b Abs irr m b g M view
3 GF(3) 210 a Abs irr m b g M view
3 GF(3) 560 a Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 21 a Abs irr m b g M view
5 GF(5) 210 a Abs irr m b g M view
5 GF(5) 230 a Abs irr m b g M view
5 GF(5) 560 a Abs irr m b g M view
5 GF(5) 896 a Abs irr m b g M view
5 GF(5) 896 b Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(7) 22 a Abs irr m b g M view
7 GF(7) 231 a Abs irr m b g M view
7 GF(7) 252 a Abs irr m b g M view
7 GF(49) 896 a Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
11 GF(11) 22 a Abs irr m b g M view
11 GF(11) 231 a Abs irr m b g M view
11 GF(11) 251 a Abs irr m b g M view
11 GF(11) 896 a Abs irr m b g M view