Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
73 a Primitive 2 2 1, 72 m b g M view
73 b Primitive 2 2 1, 72 m b g M view
56064 Primitive 1 220 1, 213, 42, 496, 987, 14730, 294172 m b g M view
75264 Primitive 1 372 1, 7341, 219330 m b g M view
98112 Primitive 1 653 1, 213, 242, 286, 428, 567, 8496, 168530 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 72 + χ2 ? m b g M view
0 C 73 a o χ3 ? m b g M view
0 C 73 b o χ4 ? m b g M view
0 C 73 c o χ5 ? m b g M view
0 C 73 d o χ6 ? m b g M view
0 C 73 e o χ7 ? m b g M view
0 C 73 f o χ8 ? m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(8) 3 Abs irr m b g M view
2 GF(8) 8 Abs irr m b g M view
2 GF(8) 9 a Abs irr m b g M view
2 GF(8) 9 b Abs irr m b g M view
2 GF(8) 24 a Abs irr m b g M view
2 GF(8) 24 b Abs irr m b g M view
2 GF(2) 27 Abs irr m b g M view
2 GF(8) 27 Abs irr m b g M view
2 GF(8) 64 Abs irr m b g M view
2 GF(8) 72 a Abs irr m b g M view
2 GF(8) 72 b Abs irr m b g M view
2 GF(8) 192 Abs irr m b g M view
2 GF(2) 512 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 72 Abs irr m b g M view
3 GF(3) 511 Abs irr m b g M view
3 GF(27) 657 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(7) 72 Abs irr m b g M view
7 GF(7) 511 Abs irr m b g M view
7 GF(343) 511 ? m b g M view
7 GF(7) 512 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
73 GF(73) 71 Abs irr m b g M view
73 GF(73) 441 Abs irr m b g M view
73 GF(73) 511 a Abs irr m b g M view
73 GF(73) 511 b Abs irr m b g M view