Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 119 | Primitive | 1 | 3 | 1, 54, 64 | m b g M | view | |||
| 136 | Primitive | 1 | 3 | 1, 63, 72 | m b g M | view | |||
| 765 | Primitive | 1 | 4 | 1, 28, 224, 512 | m b g M | view | |||
| 1071 | Primitive | 1 | 5 | 1, 30, 48, 480, 512 | m b g M | view | |||
| 1632 | Primitive | 1 | 5 | 1, 56, 105, 630, 840 | m b g M | view | |||
| 24192 | Primitive | 1 | 16 | 1, 17, 68, 136, 272, 340, 408, 510, 680, 1360, 20402, 40804 | m b g M | view | |||
| 45696 | Primitive | 1 | 47 | 1, 20, 30, 45, 602, 90, 120, 1805, 270, 3605, 5407, 720, 10807, 216012, 4320 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z | 34 | ? | m b g M | view | |||||||
| 0 | Z | 51 | ? | m b g M | view | |||||||
| 0 | Z | 84 | ? | m b g M | view | |||||||
| 0 | Z | 204 | a | + | χ5 | ? | m b g M | view | ||||
| 0 | Z | 204 | b | ? | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(2) | 8 | Abs irr | m b g M | view | |||||||
| 2 | GF(4) | 8 | b | Abs irr | m b g M | view | ||||||
| 2 | GF(4) | 8 | c | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 26 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 48 | Abs irr | m b g M | view | |||||||
| 2 | GF(4) | 48 | b | Abs irr | m b g M | view | ||||||
| 2 | GF(4) | 48 | c | Abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 34 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 50 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 34 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 51 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 84 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 33 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 51 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 84 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 17 | GF(17) | 34 | Abs irr | m b g M | view | |||||||
| 17 | GF(17) | 51 | Abs irr | m b g M | view | |||||||
| 17 | GF(17) | 83 | Abs irr | m b g M | view |