Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 45 | a | Trans but imp | 1 | 4 | 13, 42 | m b g M | view | ||
| 45 | b | Trans but imp | 1 | 4 | 13, 42 | m b g M | view | ||
| 63 | Trans but imp | 1 | 7 | 13, 103, 30 | m b g M | view | |||
| 315 | Trans but imp | 1 | 28 | 13, 43, 64, 83, 129, 246 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z[ω] | 6 | o | Z[ω] | 1 | Abs irr | m b g M | view | ||||
| 0 | Z[z3] | 15 | a | ? | m b g M | view | ||||||
| 0 | Z[ω] | 15 | b | o | Z[ω] | 1 | Abs irr | m b g M | view | |||
| 0 | Z[z3] | 21 | a | ? | m b g M | view | ||||||
| 0 | Z[z3] | 21 | b | ? | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(4) | 6 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 12 | Irr not abs irr | m b g M | view | |||||||
| 2 | GF(4) | 15 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(4) | 24 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(4) | 24 | b | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 30 | Irr not abs irr | m b g M | view | |||||||
| 2 | GF(2) | 48 | a | Irr not abs irr | m b g M | view | ||||||
| 2 | GF(2) | 48 | b | Irr not abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(25) | 3 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 6 | Irr not abs irr | m b g M | view | |||||||
| 5 | GF(25) | 6 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 12 | Irr not abs irr | m b g M | view | |||||||
| 5 | GF(25) | 15 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 15 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 18 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 21 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 30 | a | Irr not abs irr | m b g M | view | ||||||
| 5 | GF(5) | 30 | b | Irr not abs irr | m b g M | view | ||||||
| 5 | GF(5) | 36 | Irr not abs irr | m b g M | view | |||||||
| 5 | GF(5) | 42 | Irr not abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 6 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 9 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 15 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 21 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 21 | b | Abs irr | m b g M | view |