Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
80 Trans but imp 1 5 12, 24, 272 m b g M view
240 Trans but imp 1 9 12, 22, 272, 542, 72 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z[ω] 4 a o χ21 ? m b g M view
0 Z[ω] 4 b o χ22 ? m b g M view
0 Z 8 o χ2122 ? m b g M view
0 Z[ω] 20 a χ23 ? m b g M view
0 Z[ω] 20 b o χ24 ? m b g M view
0 Z[ω] 20 c o χ25 ? m b g M view
0 Z[ω] 36 a o χ28 ? m b g M view
0 Z[ω] 36 b o χ29 ? m b g M view
0 Z[ω] 60 b o χ31 ? m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(3) 4 Abs irr m b g M view
3 GF(3) 16 Abs irr m b g M view
3 GF(3) 40 Abs irr m b g M view