Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
24 Trans but imp 1 8 14, 54 (1 + 3ab + 5) + (6 + 6) 5 m b g M view
40 Trans but imp 1 16 14, 312 (1 + 3ab + 2.4 + 5) + (2.4' + 2.6) 3 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 H 1 a ? m b g M view
0 Z[z5] 2 a − χ6 Z[b5] 2 Abs irr m b g M view
0 Z[i] 4 a − χ8 Z 2 Abs irr m b g M view
0 Z[i6] 4 a − χ8 Z 2 Abs irr m b g M view
0 Z[i] 6 − χ9 Z 2 Abs irr m b g M view
0 Z[ω] 6 − χ9 Z 2 Abs irr m b g M view
0 Z 8 b 2χ8 Irr not abs irr m b g M view
0 Z 12 2χ9 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) 5 a Indec not irr m b g M view
2 GF(4) 5 b Indec not irr m b g M view
2 GF(2) 8 φ4 + φ4 0 0 Indec not irr m b g M view
2 GF(2) 9 Indec not irr m b g M view
2 GF(2) 10 Indec not irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(9) 2 a − φ5 Z[b5] 0 0 1 Abs irr m b g M view
3 GF(9) 2 b − φ6 Z[b5] 0 0 1 Abs irr m b g M view
3 GF(3) 4 φ5 + φ6 Z 0 0 Irr not abs irr m b g M view
3 GF(3) 6 − φ7 Z 0 0 1 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 2 − φ4 Z 0 0 1 Abs irr m b g M view
5 GF(5) 4 − φ5 Z 0 0 1 Abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(49) 2 a − χ6 Z[b5] 0 0 1 Abs irr m b g M view
7 GF(49) 2 b − χ7 Z[b5] 0 0 1 Abs irr m b g M view
7 GF(7) 4 a − χ8 Z 0 0 1 Abs irr m b g M view
7 GF(7) 4 b χ6 + χ7 Z 0 0 Irr not abs irr m b g M view
7 GF(7) 6 − χ9 Z 0 0 1 Abs irr m b g M view