Permutation Representations
Points | ID | Prim | Trans | Rank | Suborbits | Char | Stab | Files | |
---|---|---|---|---|---|---|---|---|---|
275 | Primitive | 1 | 3 | 1, 112, 162 | 1 + 22 + 252 | U4(3) | m b g M | view | |
2025 | a | Primitive | 1 | 4 | 1, 330, 462, 1232 | 1 + 22 + 252 + 1750 | M22 | m b g M | view |
2025 | b | Primitive | 1 | 4 | 1, 330, 462, 1232 | 1 + 22 + 252 + 1750 | M22 | m b g M | view |
7128 | Primitive | 1 | 5 | 1, 252, 750, 2625, 3500 | 1 + 22 + 252 + 1750 + 5103 | U3(5) | m b g M | view | |
15400 | a | Primitive | 1 | 5 | 1, 90, 1215, 2430, 11664 | 1 + 252 + 4500 + 5103 + 5544 | 31+4:2.S5 | m b g M | view |
15400 | b | Primitive | 1 | 10 | 1, 30, 60, 162, 810, 16203, 3645, 5832 | 1 + 22 + 2.252 + 1750 + 3520 + 4500 + 5103 | 34:M10 | m b g M | view |
22275 | a | Primitive | 1 | 13 | 1, 112, 2103, 1120, 1260, 25202, 33603, 4032 | 1 + 22 + 2.252 + 2.1750 + 3520 + 5103 + 9625 | L3(4):21 | m b g M | view |
22275 | b | Primitive | 1 | 6 | 1, 210, 2240, 5040, 6720, 8064 | 1 + 252 + 1750 + 5103 + 5544 + 9625 | 2.A8 | m b g M | view |
22275 | c | Primitive | 1 | 13 | 1, 112, 140, 210, 420, 672, 16802, 2240, 33603, 5040 | 1 + 22 + 2.252 + 2.1750 + 3520 + 5103 + 9625 | 24:A7 | m b g M | view |
22275 | d | Primitive | 1 | 13 | 1, 112, 140, 210, 420, 672, 16802, 2240, 33603, 5040 | 1 + 22 + 2.252 + 2.1750 + 3520 + 5103 + 9625 | 24:A7 | m b g M | view |
113400 | Primitive | 1 | 39 | 1, 165, 2202, 6603, 7922, 990, 19804, 26402, 396022, 7920 | 1 + 22 + 2.252 + 3.1750 + 2.3520 + 4500 + 2.5103 + 8250ab + 3.9625 + 9856ab + 10395ab | M11 | m b g M | view | |
299376 | Primitive | 1 | 114 | 1, 125, 3752, 100012, 15005, 300093 | 51+2:3:8 | m b g M | view |
Matrix Representations
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Z | 22 | + | χ2 | Z | 1 | Abs irr | m b g M | view | |||
0 | Z | 231 | + | χ3 | 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(2) | 748 | a | Abs irr | m b g M | view | ||||||
2 | GF(2) | 748 | b | Abs irr | m b g M | view | ||||||
2 | GF(4) | 896 | a | Abs irr | m b g M | view | ||||||
2 | GF(4) | 896 | b | Abs irr | m b g M | view | ||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
3 | GF(3) | 21 | Abs irr | m b g M | view | |||||||
3 | GF(3) | 104 | a | Abs irr | m b g M | view | ||||||
3 | GF(3) | 104 | b | Abs irr | m b g M | view | ||||||
3 | GF(3) | 210 | Abs irr | m b g M | view | |||||||
3 | GF(3) | 560 | Abs irr | m b g M | view | |||||||
3 | GF(9) | 605 | a | Abs irr | m b g M | view | ||||||
3 | GF(9) | 605 | b | Abs irr | m b g M | view | ||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
5 | GF(5) | 21 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 210 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 230 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 560 | Abs irr | m b g M | view | |||||||
5 | GF(5) | 896 | b | Abs irr | m b g M | view | ||||||
5 | GF(25) | 1200 | a | Abs irr | m b g M | view | ||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
7 | GF(7) | 22 | Abs irr | m b g M | view | |||||||
7 | GF(7) | 231 | Abs irr | m b g M | view | |||||||
7 | GF(7) | 252 | Abs irr | m b g M | view | |||||||
7 | GF(49) | 770 | a | Abs irr | m b g M | view | ||||||
7 | GF(49) | 770 | b | Abs irr | m b g M | view | ||||||
7 | GF(49) | 896 | a | Abs irr | m b g M | view | ||||||
7 | GF(49) | 896 | b | Abs irr | m b g M | view | ||||||
Char | Ring | Dim | ID | Ind | Character | Char Rng | H1 | H2 | Schur | Irr | Files | |
11 | GF(11) | 22 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 231 | Abs irr | m b g M | view | |||||||
11 | GF(11) | 251 | Abs irr | m b g M | view | |||||||
11 | GF(121) | 770 | a | Abs irr | m b g M | view | ||||||
11 | GF(121) | 770 | b | 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) | 896 | b | Abs irr | m b g M | view |