Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 80 | Trans but imp | 1 | 16 | 18, 98 | m b g M | view | |||
| 144 | Trans but imp | 1 | 32 | 14, 528 | m b g M | view | |||
| 240 | a | Trans but imp | 1 | 88 | 112, 376 | m b g M | view | ||
| 240 | b | Trans but imp | 1 | 88 | 112, 376 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | H | 2 | a | ? | m b g M | view | ||||||
| 0 | Z[z3] | 4 | − | Z | 2 | Abs irr | m b g M | view | ||||
| 0 | Z[ω] | 4 | a | − | χ8 | Z | 2 | Abs irr | m b g M | view | ||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(9) | 2 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 2 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 4 | Irr not abs irr | m b g M | view | |||||||
| 3 | GF(9) | 6 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 6 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 12 | Irr not abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 4 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 4 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 10 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 10 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 20 | Irr not abs irr | m b g M | view |