Permutation Representations
| Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
|---|---|---|---|---|---|---|---|---|---|
| 100 | Primitive | 1 | 3 | 1, 22, 77 | 1 + 22 + 77 | M22 | m b g M | view | |
| 176 | b | Primitive | 2 | 2 | 1, 175 | U3(5):2 | m b g M | view | |
| 1100 | a | Primitive | 1 | 5 | 1, 42, 105, 280, 672 | L3(4):21 | m b g M | view | |
| 1100 | b | Primitive | 1 | 5 | 1, 28, 105, 336, 630 | S8 | m b g M | view | |
| 3850 | Primitive | 1 | 12 | 1, 15, 32, 90, 120, 160, 192, 2402, 360, 960, 1440 | m b g M | view | |||
| 4125 | Primitive | 1 | 9 | 1, 28, 64, 112, 336, 448, 8962, 1344 | m b g M | view | |||
| 5600 | a | Primitive | 1 | 9 | 1, 55, 132, 165, 495, 660, 792, 1320, 1980 | M11 | m b g M | view | |
| 15400 | Primitive | 1 | 27 | 1, 24, 30, 362, 45, 1442, 1803, 3604, 72010, 28802 | m b g M | view |
Matrix Representations
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Z | 22 | + | χ2 | ? | m b g M | view | |||||
| 0 | Z | 77 | + | χ3 | ? | m b g M | view | |||||
| 0 | Z | 154 | a | + | χ4 | ? | m b g M | view | ||||
| 0 | Z | 154 | b | + | χ5 | ? | m b g M | view | ||||
| 0 | Z | 154 | c | + | χ6 | ? | m b g M | view | ||||
| 0 | Z | 175 | + | χ7 | ? | m b g M | view | |||||
| 0 | Z | 231 | + | χ8 | ? | m b g M | view | |||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 2 | GF(2) | 20 | − | 2 | 0 | Abs irr | m b g M | view | ||||
| 2 | GF(2) | 56 | + | 0 | 1 | Abs irr | m b g M | view | ||||
| 2 | GF(2) | 132 | − | 1 | 1 | Abs irr | m b g M | view | ||||
| 2 | GF(2) | 518 | + | 1 | 2 | Abs irr | m b g M | view | ||||
| 2 | GF(4) | 896 | a | o | 0 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(4) | 896 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 2 | GF(2) | 1000 | + | 1 | 0 | Abs irr | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 3 | GF(3) | 22 | + | 0 | 1 | Abs irr | m b g M | view | ||||
| 3 | GF(3) | 49 | a | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 49 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 77 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 3 | GF(3) | 154 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 154 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 154 | c | + | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 231 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 3 | GF(3) | 321 | + | 0 | Abs irr | m b g M | view | |||||
| 3 | GF(3) | 693 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 3 | GF(3) | 748 | + | 1 | Abs irr | m b g M | view | |||||
| 3 | GF(3) | 770 | a | o | 0 | 0 | Abs irr | m b g M | view | |||
| 3 | GF(3) | 825 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 5 | GF(5) | 21 | + | 1 | 0 | Abs irr | m b g M | view | ||||
| 5 | GF(5) | 55 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 5 | GF(5) | 98 | + | 1 | Abs irr | m b g M | view | |||||
| 5 | GF(5) | 133 | a | + | 0 | Abs irr | m b g M | view | ||||
| 5 | GF(5) | 133 | b | + | 0 | Abs irr | m b g M | view | ||||
| 5 | GF(5) | 175 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 5 | GF(5) | 210 | + | 0 | Abs irr | m b g M | view | |||||
| 5 | GF(5) | 280 | a | o | 0 | Abs irr | m b g M | view | ||||
| 5 | GF(5) | 518 | + | 0 | Abs irr | m b g M | view | |||||
| 5 | GF(5) | 650 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 7 | GF(7) | 22 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 77 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 154 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 154 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 154 | c | + | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 175 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 231 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 605 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 693 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(7) | 770 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 770 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 770 | c | o | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(7) | 803 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 7 | GF(49) | 896 | a | o | 0 | 0 | Abs irr | m b g M | view | |||
| 7 | GF(49) | 896 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
| 11 | GF(11) | 22 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 77 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 154 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 11 | GF(11) | 154 | b | + | 0 | 0 | Abs irr | m b g M | view | |||
| 11 | GF(11) | 154 | c | + | 0 | 0 | Abs irr | m b g M | view | |||
| 11 | GF(11) | 174 | + | 1 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 231 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 693 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 770 | a | + | 0 | 0 | Abs irr | m b g M | view | |||
| 11 | GF(121) | 770 | b | o | 0 | 0 | Abs irr | m b g M | view | |||
| 11 | GF(121) | 770 | c | o | 0 | 0 | Abs irr | m b g M | view | |||
| 11 | GF(11) | 825 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 854 | + | 0 | 0 | Abs irr | m b g M | view | ||||
| 11 | GF(11) | 896 | + | 0 | 0 | Abs irr | m b g M | view |