Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 276 | Primitive | 2 | 2 | 1, 275 | 1 + 275 | McL:2 | m b g M | view | |
| 552 | Trans but imp | 1 | 4 | 12, 2752 | (1 + 275) + (23 + 253b) | McL | m b g M | view | |
| 11178 | Primitive | 1 | 5 | 1, 352, 1100, 4125, 5600 | 1 + 23 + 275 + 2024 + 8855 | HS | m b g M | view | |
| 37950 | Primitive | 1 | 8 | 1, 224, 324, 1680, 45362, 8505, 18144 | 1 + 2.275 + 5544 + 8855 + 23000 | U4(3).(22)133 | m b g M | view | |
| 48600 | Primitive | 1 | 8 | 1, 253, 506, 1771, 7590, 8855, 14168, 15456 | 1+23+253b+275+2024+5544+8855+31625c | M23 | m b g M | view | |
| 128800 | Primitive | 1 | 6 | 1, 495, 2673, 32076, 40095, 53460 | 1+275+5544+8855+23000+91125 | 35:(2 × M11) | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z | 23 | + | χ2 | Z | 1 | Abs irr | m b g M | view | |||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(2) | 22 | Abs irr | m b g M | view | |||||||
| 2 | GF(2) | 230 | Abs irr | m b g M | view | |||||||
| 2 | GF(4) | 896 | a | Abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 22 | Abs irr | m b g M | view | |||||||
| 3 | GF(3) | 126 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 126 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 231 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 231 | b | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 770 | a | Abs irr | m b g M | view | ||||||
| 3 | GF(3) | 770 | b | Abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 23 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 230 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 253 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 275 | Abs irr | m b g M | view | |||||||
| 5 | GF(5) | 896 | b | Abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 23 | Abs irr | m b g M | view | |||||||
| 7 | GF(7) | 253 | a | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 253 | b | Abs irr | m b g M | view | ||||||
| 7 | GF(7) | 275 | Abs irr | m b g M | view | |||||||
| 7 | GF(49) | 896 | a | Abs irr | m b g M | view | ||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 11 | GF(11) | 23 | Abs irr | m b g M | view | |||||||
| 11 | GF(11) | 253 | a | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 253 | b | Abs irr | m b g M | view | ||||||
| 11 | GF(11) | 275 | Abs irr | m b g M | view | |||||||
| 11 | GF(11) | 896 | Abs irr | m b g M | view | |||||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 23 | GF(23) | 23 | Abs irr | m b g M | view | |||||||
| 23 | GF(23) | 253 | a | Abs irr | m b g M | view | ||||||
| 23 | GF(23) | 253 | b | Abs irr | m b g M | view | ||||||
| 23 | GF(23) | 274 | Abs irr | m b g M | view | |||||||
| 23 | GF(23) | 896 | b | Abs irr | m b g M | view |