Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 6 | a | Primitive | 4 | 2 | 1, 5 | m b g M | view | ||
| 6 | b | Primitive | 4 | 2 | 1, 5 | m b g M | view | ||
| 10 | Primitive | 2 | 2 | 1, 9 | m b g M | view | |||
| 15 | a | Primitive | 1 | 3 | 1, 6, 8 | m b g M | view | ||
| 15 | b | Primitive | 1 | 3 | 1, 6, 8 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z | 5 | a | + | χ2 | Z | 1 | Abs irr | m b g M | view | ||
| 0 | Z | 5 | b | + | χ3 | Z | 1 | Abs irr | m b g M | view | ||
| 0 | C | 6 | a | o | χ19 | ? | m b g M | view | ||||
| 0 | Z[b5] | 8 | a | + | χ4 | Z[b5] | 1 | Abs irr | m b g M | view | ||
| 0 | Z[b5] | 8 | b | + | χ5 | Z[b5] | 1 | Abs irr | m b g M | view | ||
| 0 | Z | 9 | + | χ6 | Z | 1 | Abs irr | m b g M | view | |||
| 0 | Z | 10 | + | χ7 | Z | 1 | Abs irr | m b g M | view | |||
| 0 | C | 12 | a | o | χ21 | ? | m b g M | view | ||||
| 0 | Z | 16 | χ4 + χ5 | Z | Irr not abs irr | m b g M | view | |||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(2) | 4 | a | − | 1 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 4 | b | − | 1 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(4) | 8 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(4) | 8 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 16 | 0 | 0 | Irr not abs irr | m b g M | view | |||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(9) | 3 | a | + | 0 | 1 | Abs irr | m b g M | view | |||
| 3 | GF(9) | 3 | b | + | 0 | 1 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 4 | + | 2 | 0 | Abs irr | m b g M | view | ||||
| 3 | GF(3) | 6 | 0 | 2 | Irr not abs irr | m b g M | view | |||||
| 3 | GF(3) | 9 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 5 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 5 | GF(5) | 5 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 5 | GF(5) | 8 | + | 1 | 1 | Abs irr | m b g M | view | ||||
| 5 | GF(5) | 10 | + | 0 | 0 | Abs irr | m b g M | view |