Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 40 | a | Trans but imp | 1 | 11 | 12, 2, 34, 64 | S3 | m b g M | view | |
| 40 | b | Trans but imp | 1 | 9 | 12, 2, 66 | 6 | m b g M | view | |
| 48 | Trans but imp | 1 | 16 | 18, 58 | 5 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z[ω] | 4 | b | o | χ8, 0 | Z[i3] | 1 | Abs irr | m b g M | view | ||
| 0 | Z | 8 | a | 2&chi6+7 | Z | Irr not abs irr | m b g M | view | ||||
| 3 | GF(3) | 4 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 6 | Abs irr | m b g M | view | |||||||
| 5 | GF(25) | 2 | Abs irr | m b g M | view | |||||||
| 5 | GF(25) | 4 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 4 | b | Irr not abs irr | m b g M | view | ||||||
| 5 | GF(5) | 8 | Irr not abs irr | m b g M | view |