Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 1080 | a | Primitive | 1 | 3 | 1, 351, 728 | m b g M | view | ||
| 1080 | b | Primitive | 1 | 3 | 1, 351, 728 | m b g M | view | ||
| 1080 | c | Primitive | 1 | 3 | 1, 351, 728 | m b g M | view | ||
| 1080 | d | Primitive | 1 | 3 | 1, 351, 728 | m b g M | view | ||
| 1080 | e | Primitive | 1 | 3 | 1, 351, 728 | m b g M | view | ||
| 1080 | f | Primitive | 1 | 3 | 1, 351, 728 | m b g M | view | ||
| 1120 | a | Primitive | 1 | 3 | 1, 390, 729 | m b g M | view | ||
| 1120 | b | Primitive | 1 | 3 | 1, 390, 729 | m b g M | view | ||
| 1120 | c | Primitive | 1 | 3 | 1, 390, 729 | m b g M | view | ||
| 28431 | a | Primitive | 1 | 6 | 1, 9603, 3150, 22400 | m b g M | view | ||
| 28431 | b | Primitive | 1 | 6 | 1, 9603, 3150, 22400 | m b g M | view | ||
| 28431 | c | Primitive | 1 | 6 | 1, 9603, 3150, 22400 | m b g M | view | ||
| 28431 | d | Primitive | 1 | 6 | 1, 9603, 3150, 22400 | m b g M | view | ||
| 36400 | Primitive | 1 | 7 | 1, 192, 3243, 15552, 19683 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | GF(2) | 298 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 28 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 35 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 35 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 35 | c | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 195 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 322 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 518 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 518 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 518 | c | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 567 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 567 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 567 | c | Abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 300 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 299 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 13 | GF(13) | 300 | Abs irr | m b g M | view |