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 |