Permutation Representations
Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
---|---|---|---|---|---|---|---|---|---|
12 | a | Primitive | 5 | 2 | 1, 11 | M11 | m b g M | view | |
12 | b | Primitive | 5 | 2 | 1, 11 | M11 | m b g M | view | |
66 | a | Primitive | 1 | 3 | 1, 20, 45 | A6.22 | m b g M | view | |
66 | b | Primitive | 1 | 3 | 1, 20, 45 | A6.22 | m b g M | view |
Matrix Representations
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Z | 11 | a | + | χ2 | ? | m b g M | view | ||||
0 | Z | 11 | b | + | χ3 | ? | m b g M | view | ||||
0 | C | 16 | a | o | χ4 | ? | m b g M | view | ||||
0 | C | 16 | b | o | χ5 | ? | m b g M | view | ||||
0 | Z | 32 | χ4 + χ5 | Z | 1 | Irr not abs irr | m b g M | view | ||||
0 | Z | 45 | + | χ6 | ? | m b g M | view | |||||
0 | Z | 54 | + | χ7 | ? | m b g M | view | |||||
0 | Z | 55 | a | + | χ8 | ? | m b g M | view | ||||
0 | Z | 55 | b | + | χ9 | ? | m b g M | view | ||||
0 | Z | 55 | c | + | χ10 | ? | m b g M | view | ||||
0 | Z | 66 | + | χ11 | ? | m b g M | view | |||||
0 | Z | 99 | + | χ12 | ? | m b g M | view | |||||
0 | Z | 120 | + | χ13 | ? | m b g M | view | |||||
0 | Z | 144 | + | χ14 | ? | m b g M | view | |||||
0 | Z | 176 | + | χ15 | ? | 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) | 144 | Abs irr | m b g M | view | |||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
3 | GF(3) | 10 | a | Abs irr | m b g M | view | ||||||
3 | GF(3) | 15 | b | Abs irr | m b g M | view | ||||||
3 | GF(3) | 34 | Abs irr | m b g M | view | |||||||
3 | GF(3) | 45 | a | Abs irr | m b g M | view | ||||||
3 | GF(3) | 45 | b | Abs irr | m b g M | view | ||||||
3 | GF(3) | 54 | Abs irr | m b g M | view | |||||||
3 | GF(3) | 99 | Abs irr | m b g M | view | |||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
5 | GF(5) | 11 | a | Abs irr | m b g M | view | ||||||
5 | GF(5) | 16 | b | o | Abs irr | m b g M | view | |||||
5 | GF(5) | 45 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 55 | a | Abs irr | m b g M | view | ||||||
5 | GF(5) | 55 | c | Abs irr | m b g M | view | ||||||
5 | GF(5) | 66 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 78 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 98 | 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 | |
11 | GF(11) | 11 | a | + | Z | 0 | 0 | Abs irr | m b g M | view | ||
11 | GF(11) | 16 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 29 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 53 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 55 | a | Abs irr | m b g M | view | ||||||
11 | GF(11) | 55 | c | Abs irr | m b g M | view | ||||||
11 | GF(11) | 66 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 91 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 99 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 176 | Abs irr | m b g M | view |