Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 22 | Primitive | 3 | 2 | 1, 21 | m b g M | view | |||
| 77 | Primitive | 1 | 3 | 1, 16, 60 | m b g M | view | |||
| 231 | Primitive | 1 | 4 | 1, 30, 40, 160 | m b g M | view | |||
| 330 | Primitive | 1 | 5 | 1, 7, 42, 112, 168 | m b g M | view | |||
| 352 | Trans but imp | 1 | 6 | 1, 15, 35, 70, 105, 126 | m b g M | view | |||
| 616 | Primitive | 1 | 5 | 1, 30, 45, 180, 360 | m b g M | view | |||
| 672 | Primitive | 1 | 6 | 1, 552, 66, 165, 330 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | GF(2) | 10 | a | o | φ2 | Z[b7] | 1 | Abs irr | m b g M | view | ||
| 2 | GF(2) | 10 | b | o | φ3 | Z[b7] | 1 | Abs irr | m b g M | view | ||
| 2 | GF(2) | 34 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 98 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 140 | 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(9) | 45 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 45 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 55 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 98 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 99 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 210 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 231 | 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(25) | 45 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 45 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 55 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 98 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 133 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 210 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 385 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 560 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 21 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 45 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 54 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 154 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 210 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 231 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 385 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 560 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 11 | GF(11) | 20 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 45 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 45 | b | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 55 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 99 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 154 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 190 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 231 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 385 | a | Abs irr | m b g M | view |