Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 21 | a | Primitive | 2 | 2 | 1, 20 | m b g M | view | ||
| 21 | b | Primitive | 2 | 2 | 1, 20 | m b g M | view | ||
| 56 | a | Primitive | 1 | 3 | 1, 10, 45 | m b g M | view | ||
| 56 | b | Primitive | 1 | 3 | 1, 10, 45 | m b g M | view | ||
| 56 | c | Primitive | 1 | 3 | 1, 10, 45 | m b g M | view | ||
| 120 | a | Primitive | 1 | 4 | 1, 21, 42, 56 | m b g M | view | ||
| 120 | b | Primitive | 1 | 4 | 1, 21, 42, 56 | m b g M | view | ||
| 120 | c | Primitive | 1 | 4 | 1, 21, 42, 56 | m b g M | view | ||
| 280 | Primitive | 1 | 8 | 1, 9, 183, 723 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z | 20 | + | χ2 | ? | m b g M | view | |||||
| 0 | Z | 35 | a | + | χ3 | ? | m b g M | view | ||||
| 0 | Z | 35 | b | + | χ4 | ? | m b g M | view | ||||
| 0 | Z | 35 | c | + | χ5 | ? | m b g M | view | ||||
| 0 | C | 45 | a | o | χ6 | ? | m b g M | view | ||||
| 0 | C | 45 | b | o | χ7 | ? | m b g M | view | ||||
| 0 | C | 63 | a | + | χ8 | ? | m b g M | view | ||||
| 0 | C | 63 | b | + | χ9 | ? | m b g M | view | ||||
| 0 | Z | 64 | + | χ10 | ? | m b g M | view | |||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(4) | 8 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(4) | 8 | b | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 9 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 9 | b | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 16 | Irr not abs irr | m b g M | view | |||||||
| 2 | GF(2) | 64 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 15 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 15 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 15 | c | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 19 | Abs irr | m b g M | view | |||||||
| 3 | GF(9) | 45 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 45 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 63 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(9) | 63 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 90 | Irr not abs irr | m b g M | view | |||||||
| 3 | GF(3) | 126 | 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) | 20 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 35 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 35 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 35 | c | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 45 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(25) | 45 | b | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 63 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 90 | Irr not abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 19 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 35 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 35 | b | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 35 | c | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 45 | Abs irr | m b g M | view | |||||||
| 7 | GF(49) | 63 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(49) | 63 | b | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 126 | Irr not abs irr | m b g M | view |