Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 7 | a | Primitive | 2 | 2 | 1, 6 | m b g M | view | ||
| 7 | b | Primitive | 2 | 2 | 1, 6 | m b g M | view | ||
| 8 | Primitive | 2 | 2 | 1, 7 | m b g M | view | |||
| 14 | a | Trans but imp | 1 | 3 | 12, 12 | m b g M | view | ||
| 14 | b | Trans but imp | 1 | 3 | 12, 12 | m b g M | view | ||
| 21 | Trans but imp | 1 | 6 | 1, 22, 42, 8 | m b g M | view | |||
| 24 | Trans but imp | 1 | 6 | 13, 73 | m b g M | view | |||
| 28 | Trans but imp | 1 | 7 | 1, 33, 63 | m b g M | view | |||
| 42 | a | Trans but imp | 1 | 15 | 16, 49 | m b g M | view | ||
| 42 | b | Trans but imp | 1 | 15 | 16, 49 | m b g M | view | ||
| 42 | c | Trans but imp | 1 | 12 | 12, 410 | m b g M | view | ||
| 56 | Trans but imp | 1 | 20 | 12, 318 | m b g M | view | |||
| 84 | Trans but imp | 1 | 44 | 14, 240 | m b g M | view | |||
| 168 | Trans but imp | 1 | 168 | 1168 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | C | 3 | a | o | χ2 | ? | m b g M | view | ||||
| 0 | C | 3 | b | o | χ3 | ? | m b g M | view | ||||
| 0 | Z | 6 | a | o | χ2+χ3 | ? | m b g M | view | ||||
| 0 | Z | 6 | b | + | χ4 | ? | m b g M | view | ||||
| 0 | Z | 7 | + | χ5 | ? | m b g M | view | |||||
| 0 | Z | 8 | + | χ6 | ? | m b g M | view | |||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(2) | 3 | a | o | 1 | 1 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 3 | b | o | 1 | 1 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 8 | + | 0 | 0 | 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 | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(9) | 3 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 6 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 6 | b | 0 | 0 | Irr not abs irr | m b g M | view | ||||
| 3 | GF(3) | 7 | + | 1 | 1 | Abs irr | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 3 | + | 0 | 1 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 5 | + | 1 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 7 | + | 0 | 0 | Abs irr | m b g M | view |