Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 50 | Primitive | 1 | 3 | 1, 7, 42 | m b g M | view | |||
| 126 | Primitive | 2 | 2 | 1, 125 | m b g M | view | |||
| 175 | Primitive | 1 | 4 | 1, 12, 72, 90 | m b g M | view | |||
| 525 | Primitive | 1 | 7 | 1, 20, 48, 96, 1203 | m b g M | view | |||
| 750 | Primitive | 1 | 9 | 1, 21, 282, 56, 112, 1683 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | GF(2) | 20 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 28 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 56 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 104 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 288 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 20 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 21 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 28 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 56 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 84 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 126 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 252 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 288 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 8 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 19 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 20 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 63 | a | Abs irr | m b g M | view | ||||||
| 5 | GF(5) | 70 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 125 | a | Abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 20 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 21 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 28 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 56 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 84 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 105 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 124 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 126 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 252 | Abs irr | m b g M | view |