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