Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 28 | Primitive | 2 | 2 | 1, 27 | 1 + 27 | 31+2:8 | m b g M | view | |
| 36 | Primitive | 1 | 4 | 1, 72, 21 | 1 + 7bc + 21a | L3(2) | m b g M | view | |
| 63 | a | Primitive | 1 | 4 | 1, 6, 24, 32 | 1 + 14 + 21a + 27 | 4.S4 | m b g M | view |
| 63 | b | Primitive | 1 | 5 | 1, 6, 162, 24 | 1 + 7bc + 21a + 27 | 42:S3 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z[i] | 6 | ? | m b g M | view | |||||||
| 0 | Z | 7 | a | ? | m b g M | view | ||||||
| 0 | Z[i] | 7 | b | ? | m b g M | view | ||||||
| 0 | Z[i] | 7 | c | o | χ5 | ? | m b g M | view | ||||
| 0 | Z | 14 | a | ? | m b g M | view | ||||||
| 0 | Z | 14 | b | ? | m b g M | view | ||||||
| 0 | Z | 21 | a | ? | m b g M | view | ||||||
| 0 | Z[i] | 21 | b | ? | m b g M | view | ||||||
| 0 | Z[i] | 21 | c | o | χ9 | ? | m b g M | view | ||||
| 0 | Z | 27 | ? | m b g M | view | |||||||
| 0 | Z[i] | 28 | a | ? | m b g M | view | ||||||
| 0 | Z[i] | 28 | b | o | χ12 | ? | m b g M | view | ||||
| 0 | C | 32 | a | o | χ13 | ? | m b g M | view | ||||
| 0 | C | 32 | b | o | χ14 | ? | m b g M | view | ||||
| 0 | Z | 42 | ? | m b g M | view | |||||||
| 0 | Z | 56 | ? | m b g M | view | |||||||
| 0 | Z | 64 | ? | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(2) | 6 | − | 1 | 1 | Abs irr | m b g M | view | ||||
| 2 | GF(2) | 14 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 2 | GF(2) | 32 | a | o | 0 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 32 | b | o | 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 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(9) | 6 | b | o | 1 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 7 | + | 1 | 2 | Abs irr | m b g M | view | ||||
| 3 | GF(9) | 15 | b | o | 0 | 1 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 27 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 6 | − | 0 | 1 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 7 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(49) | 7 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 14 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 21 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(49) | 21 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 26 | + | 1 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(49) | 28 | a | o | 0 | 0 | Abs irr | m b g M | view |