Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 65 | Primitive | 2 | 2 | 1, 64 | m b g M | view | |||
| 520 | Trans but imp | 1 | 12 | 1, 7, 8, 569 | m b g M | view | |||
| 560 | Primitive | 1 | 17 | 1, 133, 266, 527 | m b g M | view | |||
| 1456 | Primitive | 1 | 79 | 1, 53, 106, 2069 | m b g M | view | |||
| 2080 | Primitive | 1 | 165 | 1, 731, 14133 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z[i] | 14 | a | o | χ2 | ? | m b g M | view | ||||
| 0 | Z[i] | 14 | b | o | χ3 | ? | m b g M | view | ||||
| 0 | Z | 64 | + | χ7 | ? | m b g M | view | |||||
| 0 | C | 65 | a | + | χ8 | ? | m b g M | view | ||||
| 0 | C | 65 | b | + | χ9 | ? | m b g M | view | ||||
| 0 | C | 65 | c | + | χ10 | ? | m b g M | view | ||||
| 0 | Z | 91 | + | χ11 | ? | m b g M | view | |||||
| 0 | Z[i] | 105 | + | χ4+χ5+χ6 | ? | m b g M | view | |||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(8) | 4 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(8) | 16 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 64 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 14 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 14 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 35 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 35 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 35 | c | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 63 | Abs irr | m b g M | view | |||||||
| 5 | GF(125) | 65 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(125) | 65 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(125) | 65 | c | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 195 | Irr not abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(49) | 14 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 64 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 91 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 105 | Irr not abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 13 | GF(13) | 14 | a | Abs irr | m b g M | view | ||||||
| 13 | GF(13) | 14 | b | Abs irr | m b g M | view | ||||||
| 13 | GF(13) | 35 | Abs irr | m b g M | view | |||||||
| 13 | GF(13) | 65 | a | Abs irr | m b g M | view | ||||||
| 13 | GF(13) | 65 | b | Abs irr | m b g M | view | ||||||
| 13 | GF(13) | 65 | c | Abs irr | m b g M | view | ||||||
| 13 | GF(13) | 91 | Abs irr | m b g M | view |