Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 11 | a | Primitive | 2 | 2 | 1, 10 | m b g M | view | ||
| 11 | b | Primitive | 2 | 2 | 1, 10 | m b g M | view | ||
| 12 | Primitive | 2 | 2 | 1, 11 | m b g M | view | |||
| 55 | Primitive | 1 | 9 | 1, 32, 64, 122 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | C | 5 | a | o | χ2 | ? | m b g M | view | ||||
| 0 | C | 5 | b | o | χ3 | ? | m b g M | view | ||||
| 0 | Z | 10 | a | + | χ4 | ? | m b g M | view | ||||
| 0 | Z | 10 | b | + | χ5 | ? | m b g M | view | ||||
| 0 | Z | 10 | c | o | χ2+χ3 | ? | m b g M | view | ||||
| 0 | Z | 11 | + | χ6 | ? | m b g M | view | |||||
| 0 | C | 12 | a | + | χ7 | ? | m b g M | view | ||||
| 0 | C | 12 | b | + | χ8 | ? | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(4) | 5 | a | o | 1 | 1 | Abs irr | m b g M | view | |||
| 2 | GF(4) | 5 | b | o | 1 | 1 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 10 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 2 | GF(2) | 10 | b | 2 | 2 | Irr not abs irr | m b g M | view | ||||
| 2 | GF(4) | 12 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(4) | 12 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 24 | 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(3) | 5 | a | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 5 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 10 | + | 1 | 1 | Abs irr | m b g M | view | ||||
| 3 | GF(9) | 12 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(9) | 12 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 24 | 0 | 0 | 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) | 5 | a | o | 0 | 0 | Abs irr | m b g M | view | |||
| 5 | GF(5) | 5 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 5 | GF(5) | 10 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 5 | GF(5) | 10 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 5 | GF(5) | 11 | + | 1 | 1 | Abs irr | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 11 | GF(11) | 3 | + | 0 | 1 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 5 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 7 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 9 | + | 1 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 11 | + | 0 | 0 | Abs irr | m b g M | view |