Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 31671 | Primitive | 1 | 3 | 1, 3510, 28160 | 1 + 782 + 30888 | 2.Fi22 | m b g M | view | |
| 137632 | Primitive | 1 | 3 | 1, 28431, 109200 | 1 + 30888 + 106743 | O8+(3):S3 | m b g M | view | |
| 275264 | Trans but imp | 1 | 5 | 12, 284312, 218400 | 1 + 30888 + 106743 + 25806 + 111826 | O8+(3):3 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | GF(2) | 782 | + | φ2 | Z | 0 | 1 | Abs irr | m b g M | view | ||
| 2 | GF(2) | 1494 | + | φ3 | Z | 2 | 1 | Abs irr | m b g M | view | ||
| 3 | GF(3) | 253 | + | φ2 | Z[b13] | 1 | 1 | Abs irr | m b g M | view | ||
| 3 | GF(3) | 528 | + | φ3 (?) | Z[b13] | 0 | 1 | Abs irr | m b g M | view | ||
| 5 | GF(5) | 782 | + | φ2 | Z | 0 | 0 | 1 | Abs irr | m b g M | view | |
| 7 | GF(7) | 782 | + | φ2 | Z | 0 | 0 | 1 | Abs irr | m b g M | view | |
| 11 | GF(11) | 782 | + | φ2 | Z | 0 | 0 | 1 | Abs irr | m b g M | view | |
| 13 | GF(13) | 782 | + | φ2 | Z | 0 | 0 | 1 | Abs irr | m b g M | view | |
| 17 | GF(17) | 782 | + | φ2 | Z | 0 | 0 | 1 | Abs irr | m b g M | view | |
| 23 | GF(23) | 782 | + | φ2 | Z | 0 | 0 | 1 | Abs irr | m b g M | view |