Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 27 | Primitive | 1 | 3 | 1, 10, 16 | m b g M | view | |||
| 36 | Primitive | 1 | 3 | 1, 15, 20 | m b g M | view | |||
| 40 | a | Primitive | 1 | 3 | 1, 12, 27 | m b g M | view | ||
| 40 | b | Primitive | 1 | 3 | 1, 12, 27 | m b g M | view | ||
| 45 | Primitive | 1 | 3 | 1, 12, 32 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z | 6 | a | ? | m b g M | view | ||||||
| 0 | Z | 6 | a | ? | m b g M | view | ||||||
| 0 | Z | 81 | a | ? | m b g M | view | ||||||
| 2 | GF(2) | 6 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 8 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 14 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 40 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 64 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 5 | Abs irr | m b g M | view |