Permutation Representations
Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
---|---|---|---|---|---|---|---|---|---|
11 | Primitive | 9 | 2 | 1, 10 | m b g M | view | |||
55 | Primitive | 1 | 3 | 1, 18, 36 | m b g M | view | |||
165 | Primitive | 1 | 4 | 1, 24, 56, 84 | m b g M | view | |||
330 | Primitive | 1 | 5 | 1, 28, 35, 126, 140 | m b g M | view | |||
462 | Primitive | 1 | 6 | 1, 6, 30, 75, 150, 200 | m b g M | view | |||
2520 | a | Primitive | 1 | 5 | 1, 110, 330, 495, 1584 | m b g M | view | ||
2520 | b | Primitive | 1 | 5 | 1, 110, 330, 495, 1584 | m b g M | view |
Matrix Representations
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Z | 10 | + | χ2 | ? | m b g M | view | |||||
0 | Z | 44 | + | χ3 | ? | m b g M | view | |||||
0 | Z | 45 | + | χ4 | ? | m b g M | view | |||||
0 | Z | 110 | + | χ5 | ? | m b g M | view | |||||
0 | Z | 120 | + | χ6 | ? | m b g M | view | |||||
0 | C | 126 | a | o | χ7 | ? | m b g M | view | ||||
0 | C | 126 | b | o | χ8 | ? | m b g M | view | ||||
0 | Z | 132 | + | χ9 | ? | m b g M | view | |||||
0 | Z | 165 | + | χ10 | ? | m b g M | view | |||||
0 | Z | 210 | + | χ11 | ? | m b g M | view | |||||
0 | Z | 231 | + | χ12 | ? | m b g M | view | |||||
0 | Z | 252 | o | χ7+χ8 | ? | 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) | 32 | Irr not 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 | |||||||
2 | GF(2) | 144 | Abs irr | m b g M | view | |||||||
2 | GF(2) | 164 | Abs irr | m b g M | view | |||||||
2 | GF(2) | 186 | Abs irr | m b g M | view | |||||||
2 | GF(2) | 198 | Abs irr | m b g M | view | |||||||
2 | GF(2) | 416 | Abs irr | m b g M | view | |||||||
2 | GF(4) | 584 | a | Abs irr | m b g M | view | ||||||
2 | GF(2) | 848 | 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) | 34 | Abs irr | m b g M | view | |||||||
3 | GF(3) | 45 | Abs irr | m b g M | view | |||||||
3 | GF(3) | 109 | Abs irr | m b g M | view | |||||||
3 | GF(3) | 120 | 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) | 131 | Abs irr | m b g M | view | |||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
5 | GF(5) | 10 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 43 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 45 | 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 | |||||||
5 | GF(5) | 110 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 120 | Abs irr | m b g M | view | |||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
7 | GF(7) | 10 | Abs irr | m b g M | view | |||||||
7 | GF(7) | 44 | Abs irr | m b g M | view | |||||||
7 | GF(7) | 45 | Abs irr | m b g M | view | |||||||
7 | GF(7) | 66 | Abs irr | m b g M | view | |||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
11 | GF(11) | 9 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 36 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 44 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 84 | Abs irr | m b g M | view |