Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 112 | a | Trans but imp | 1 | 6 | 12, 102, 452 | m b g M | view | ||
| 112 | b | Trans but imp | 1 | 5 | 12, 20, 452 | m b g M | view | ||
| 112 | c | Trans but imp | 1 | 5 | 12, 20, 452 | m b g M | view | ||
| 240 | a | Trans but imp | 1 | 8 | 12, 212, 422, 562 | m b g M | view | ||
| 240 | b | Trans but imp | 1 | 7 | 12, 212, 562, 84 | m b g M | view | ||
| 240 | c | Trans but imp | 1 | 7 | 12, 212, 562, 84 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | GF(3) | 6 | Abs irr | m b g M | view | |||||||
| 3 | GF(9) | 10 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 10 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 20 | Irr not abs irr | m b g M | view | |||||||
| 3 | GF(9) | 22 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 22 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 36 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 44 | Irr not abs irr | m b g M | view | |||||||
| 3 | GF(3) | 90 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 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 | |||||||
| 5 | GF(5) | 28 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 36 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 70 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 90 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 10 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 26 | Abs irr | m b g M | view | |||||||
| 7 | GF(49) | 28 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(49) | 28 | b | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 56 | Irr not abs irr | m b g M | view | |||||||
| 7 | GF(7) | 64 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 70 | Abs irr | m b g M | view |