Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 240 | a | Trans but imp | 1 | 10 | 12, 142, 284, 42, 56 | m b g M | view | ||
| 240 | b | Trans but imp | 1 | 7 | 12, 14, 564 | m b g M | view | ||
| 240 | c | Trans but imp | 1 | 7 | 12, 14, 564 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Undefined | Z4 | 4 | a | ? | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 0 | Z | 8 | ? | m b g M | view | |||||||
| 0 | C | 24 | a | o | χ16 | ? | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 8 | Abs irr | m b g M | view | |||||||
| 3 | GF(9) | 24 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 24 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 48 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 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(5) | 8 | Abs irr | m b g M | view | |||||||
| 5 | GF(25) | 24 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 24 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 32 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 32 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 48 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 48 | b | Irr not abs irr | m b g M | view | ||||||
| 5 | GF(5) | 64 | 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) | 8 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 16 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 48 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 56 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 56 | b | Abs irr | m b g M | view | ||||||
| 7 | GF(49) | 56 | c | Abs irr | m b g M | view | ||||||
| 7 | GF(49) | 56 | d | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 112 | Irr not abs irr | m b g M | view |