Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 80 | Trans but imp | 1 | 5 | 12, 24, 272 | m b g M | view | |||
| 240 | Trans but imp | 1 | 9 | 12, 22, 272, 542, 72 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z[ω] | 4 | a | o | χ21 | ? | m b g M | view | ||||
| 0 | Z[ω] | 4 | b | o | χ22 | ? | m b g M | view | ||||
| 0 | Z | 8 | o | χ21+χ22 | ? | m b g M | view | |||||
| 0 | Z[ω] | 20 | a | − | χ23 | ? | m b g M | view | ||||
| 0 | Z[ω] | 20 | b | o | χ24 | ? | m b g M | view | ||||
| 0 | Z[ω] | 20 | c | o | χ25 | ? | m b g M | view | ||||
| 0 | Z[ω] | 36 | a | o | χ28 | ? | m b g M | view | ||||
| 0 | Z[ω] | 36 | b | o | χ29 | ? | m b g M | view | ||||
| 0 | Z[ω] | 60 | b | o | χ31 | ? | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 4 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 16 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 40 | Abs irr | m b g M | view |