Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 12 | Primitive | 10 | 2 | 1, 11 | A11 | m b g M | view | ||
| 66 | Primitive | 1 | 3 | 1, 20, 45 | S10 | m b g M | view | ||
| 220 | Primitive | 1 | 4 | 1, 27, 84, 108 | (A9 × 3):2 | m b g M | view | ||
| 462 | Primitive | 1 | 4 | 1, 36, 200, 225 | (A6 × A6):22 | m b g M | view | ||
| 495 | Primitive | 1 | 5 | 1, 32, 70, 168, 224 | (A8 × A4):2 | m b g M | view | ||
| 792 | Primitive | 1 | 6 | 1, 21, 35, 175, 210, 350 | (A7 × A5):2 | m b g M | view | ||
| 2520 | Primitive | 1 | 4 | 1, 440, 495, 1584 | M12 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z | 11 | + | χ2 | ? | m b g M | view | |||||
| 0 | Z | 54 | + | χ3 | ? | m b g M | view | |||||
| 0 | Z | 55 | + | χ4 | ? | m b g M | view | |||||
| 0 | Z | 132 | + | χ5 | ? | m b g M | view | |||||
| 0 | Z | 154 | + | χ6 | ? | m b g M | view | |||||
| 0 | Z | 165 | + | χ7 | ? | m b g M | view | |||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(2) | 10 | Abs irr | m b g M | view | |||||||
| 2 | GF(4) | 16 | a | Abs irr | m b g M | view | ||||||
| 2 | GF(4) | 16 | b | Abs irr | m b g M | view | ||||||
| 2 | GF(2) | 44 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 100 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 10 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 45 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 54 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 11 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 43 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 55 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 89 | Abs irr | m b g M | view |