Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
100 Primitive 1 3 1, 36, 63 1 + 36 + 63 U3(3) m b g M view
280 Primitive 1 4 1, 36, 108, 135 1 + 63 + 90 + 126 3.PGL2(9) m b g M view
315 Primitive 1 6 1, 10, 322, 80, 160 1 + 14ab + 36 + 90 + 160 21+4:A5 m b g M view
525 Primitive 1 6 1, 12, 32, 96, 1922 1 + 36 + 63 + 90 + 160 + 175 22+4:(3 × S3) m b g M view
840 Primitive 1 7 1, 15, 20, 24, 180, 240, 360 1 + 63 + 90 + 126 + 160 + 175 + 225 A4 × A5 m b g M view
1008 Primitive 1 11 1, 12, 25, 50, 602, 1002, 1502, 300 1 + 14ab + 2.90 + 126 + 160 + 225 + 288 A5 × D10 m b g M view
1800 Primitive 1 18 1, 142, 21, 28, 423, 843, 1686, 336 1 + 36 + 2.63 + 90 + 2.126 + 160 + 175 + 288 + 2.336 L3(2):2 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z[b5] 14 a + χ2 Z[b5] 1 Abs irr m b g M view
0 Z[b5] 14 b + χ3 Z[b5] 1 Abs irr m b g M view
0 Z[b5] 21 a + χ4 Z[b5] 1 Abs irr m b g M view
0 Z[b5] 21 b + χ5 Z[b5] 1 Abs irr m b g M view
0 Z 28 χ2 + χ3 Z Irr not abs irr m b g M view
0 Z 36 + χ6 Z 1 Abs irr m b g M view
0 Z 42 χ4 + χ5 Z Irr not abs irr m b g M view
0 Z 63 + χ7 Z 1 Abs irr m b g M view
0 Z 90 + χ10 Z 1 Abs irr m b g M view
0 Z 126 + χ11 Z 1 Abs irr m b g M view
0 Z 140 χ8 + χ9 Z Irr not abs irr m b g M view
0 Z 160 + χ12 Z 1 Abs irr m b g M view
0 Z 175 + χ13 Z 1 Abs irr m b g M view
0 Z 225 + χ18 Z 1 Abs irr m b g M view
0 Z 378 χ14 + χ15 Z Irr not abs irr m b g M view
0 Z 448 χ16 + χ17 Z Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(4) 6 a − φ2 Z[b5] 1 0 Abs irr m b g M view
2 GF(4) 14 a + φ4 Z[b5] 0 1 Abs irr m b g M view
2 GF(2) 36 + φ6 Z 0 0 Abs irr m b g M view
2 GF(4) 64 a + φ7 Z[b5] 0 0 Abs irr m b g M view
2 GF(2) 84 + φ9 Z 1 0 Abs irr m b g M view
2 GF(2) 160 + φ10 Z 0 0 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(9) 13 a + φ2 Z[b5] 1 1 Abs irr m b g M view
3 GF(9) 21 a + φ4 Z[b5] 0 0 Abs irr m b g M view
3 GF(3) 36 + φ6 Z 0 0 Abs irr m b g M view
3 GF(9) 57 a + φ7 Z[b5] 0 1 Abs irr m b g M view
3 GF(3) 63 + φ9 Z 0 0 Abs irr m b g M view
3 GF(3) 90 + &phi10 Z 0 0 Abs irr m b g M view
3 GF(3) 133 + φ11 Z 0 0 Abs irr m b g M view
3 GF(9) 189 a + φ12 Z[b5] 0 0 Abs irr m b g M view
3 GF(3) 225 + φ14 Z 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) 14 + φ2 Z 0 0 Abs irr m b g M view
5 GF(5) 21 + φ3 Z 1 1 Abs irr m b g M view
5 GF(5) 41 + φ4 Z 0 0 Abs irr m b g M view
5 GF(5) 70 + φ5 Z 0 0 Abs irr m b g M view
5 GF(5) 85 + φ6 Z 0 0 Abs irr m b g M view
5 GF(5) 90 + φ7 Z 0 0 Abs irr m b g M view
5 GF(5) 175 + φ8 Z 0 0 Abs irr m b g M view
5 GF(5) 189 + φ9 Z 0 1 Abs irr m b g M view
5 GF(5) 225 + φ10 Z 0 0 Abs irr m b g M view
5 GF(5) 300 + φ11 Z 0 0 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(49) 14 a + φ2 Z[b5] 0 0 Abs irr m b g M view
7 GF(49) 21 a + φ4 Z[b5] 0 0 Abs irr m b g M view
7 GF(7) 36 + φ6 Z 0 0 Abs irr m b g M view
7 GF(7) 63 + φ7 Z 0 0 Abs irr m b g M view
7 GF(49) 70 a + φ8 Z[b5] 0 0 Abs irr m b g M view
7 GF(7) 89 + φ10 Z 1 0 Abs irr m b g M view
7 GF(7) 101 + φ11 Z 0 0 Abs irr m b g M view
7 GF(7) 124 + φ12 Z 0 0 Abs irr m b g M view
7 GF(7) 126 + φ13 Z 0 0 Abs irr m b g M view
7 GF(7) 175 + φ14 Z 0 0 Abs irr m b g M view
7 GF(49) 189 a + φ15 Z[b5] 0 0 Abs irr m b g M view
7 GF(7) 199 + φ17 Z 0 1 Abs irr m b g M view
7 GF(49) 224 b + φ19 Z[b5] 0 0 Abs irr m b g M view
7 GF(7) 336 + φ20 Z 0 0 Abs irr m b g M view