Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 1025 | Primitive | 2 | 2 | 1, 1024 | 1 + 1024 | 25+5:31 | m b g M | view | |
| 198400 | Primitive | 1 | 1282 | 1, 4115, 82120, 1641146 | 41:4 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z[i, ½] | 124 | a | o | χ2 | Z[i] | 1 | Abs irr | m b g M | view | ||
| 0 | Z[i, ½] | 124 | b | o | χ3 | Z[i] | 1 | Abs irr | m b g M | view | ||
| 2 | GF(32) | 4 | a | − | φ2 | 1 | 1 | 1 | Abs irr | m b g M | view | |
| 5 | GF(5) | 124 | a | o | φ2 | Z[i] | 0 | 1 | Abs irr | m b g M | view | |
| 41 | GF(41) | 124 | b | o | φ3 | Z[i] | 0 | 0 | 1 | Abs irr | m b g M | view |