Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
28 Primitive 2 2 1, 27 1 + 27 U4(2):2 m b g M view
36 Primitive 2 2 1, 35 1 + 35b S8 m b g M view
56 Trans but imp 1 4 12, 272 U4(2) m b g M view
63 Primitive 1 3 1, 30, 32 25:S6 m b g M view
72 Trans but imp 1 4 12, 352 A8 m b g M view
120 Primitive 1 3 1, 56, 63 U3(3):2 m b g M view
126 Trans but imp 1 5 12, 322, 60 25:A6 m b g M view
135 Primitive 1 4 1, 14, 56, 64 26:L3(2) m b g M view
240 Trans but imp 1 5 12, 632, 112 U3(3) m b g M view
288 Trans but imp 1 5 1, 7, 35, 105, 140 S7 m b g M view
315 Primitive 1 5 1, 18, 24, 128, 144 (21+4 × 22):(S3 × S3) m b g M view
336 Primitive 1 5 1, 20, 45, 90, 180 S3 × S6 m b g M view
378 a Trans but imp 1 8 1, 5, 20, 32, 402, 80, 160 2 × 24:S5 m b g M view
378 b Trans but imp 1 6 1, 5, 32, 60, 120, 160 25:PGL2(5) m b g M view
960 Primitive 1 6 1, 56, 63, 84, 252, 504 L2(8):3 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 7 + χ2 Z 1 Abs irr m b g M view
0 Z 7 + χ2 Z 1 Abs irr m b g M view
0 Z 7 + χ2 Z 1 Abs irr m b g M view
0 Z[½] 7 + χ2 Z 1 Abs irr m b g M view
0 Z 15 + χ3 Z 1 Abs irr m b g M view
0 Z 21 a + χ4 ? m b g M view
0 Z 21 b + χ5 ? m b g M view
0 Z 27 + χ6 Z 1 Abs irr m b g M view
0 Z 35 a + χ7 ? m b g M view
0 Z 35 b + χ8 Z 1 Abs irr m b g M view
0 Z 56 + χ9 ? m b g M view
0 Z 70 + χ10 ? m b g M view
0 Z 84 + χ11 ? m b g M view
0 Z 105 a + χ12 ? m b g M view
0 Z 105 b + χ13 ? m b g M view
0 Z 105 c + χ14 ? m b g M view
0 Z 120 + χ15 ? m b g M view
0 Z 168 + χ16 ? m b g M view
0 Z 189 a + χ17 ? m b g M view
0 Z 189 b + χ18 ? m b g M view
0 Z 189 c + χ19 ? m b g M view
0 Z 210 a + χ20 ? m b g M view
0 Z 210 b + χ21 ? m b g M view
0 Z 216 + χ22 ? m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(2) 6 − 1 1 Abs irr m b g M view
2 GF(2) 8 + 0 0 Abs irr m b g M view
2 GF(2) 14 + 0 0 Abs irr m b g M view
2 GF(2) 48 + 1 0 Abs irr m b g M view
2 GF(2) 64 + 0 0 Abs irr m b g M view
2 GF(2) 112 + 0 1 Abs irr m b g M view
2 GF(2) 512 + 0 0 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 7 + 0 1 Abs irr m b g M view
3 GF(3) 14 + 1 0 Abs irr m b g M view
3 GF(3) 21 + 0 0 Abs irr m b g M view
3 GF(3) 27 + 0 0 Abs irr m b g M view
3 GF(3) 34 + 1 0 Abs irr m b g M view
3 GF(3) 35 + 0 1 Abs irr m b g M view
3 GF(3) 49 + 0 0 Abs irr m b g M view
3 GF(3) 91 + 0 1 Abs irr m b g M view
3 GF(3) 98 + 1 0 Abs irr m b g M view
3 GF(3) 189 a + 0 0 Abs irr m b g M view
3 GF(3) 189 b + 0 0 Abs irr m b g M view
3 GF(3) 189 c + 0 0 Abs irr m b g M view
3 GF(3) 196 + 0 0 Abs irr m b g M view
3 GF(3) 405 + 0 0 Abs irr m b g M view