Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
5 Primitive 3 2 1, 4 1 + 4 A4 m b g M view
6 Primitive 2 2 1, 5 1 + 5 D10 m b g M view
10 Primitive 1 3 1, 3, 6 1 + 4 + 5 S3 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z[b5] 3 a + χ2 Z[b5] 1 Abs irr m b g M view
0 Z[b5] 3 b + χ3 Z[b5] 1 Abs irr m b g M view
0 Z 4 + χ4 Z 1 Abs irr m b g M view
0 Z 5 + χ5 Z 1 Abs irr m b g M view
0 Z 6 χ2 + χ3 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) 2 a − φ2 Z[b5] 1 0 1 Abs irr m b g M view
2 GF(4) 2 b − φ3 Z[b5] 1 0 1 Abs irr m b g M view
2 GF(2) 4 a + φ4 Z 0 0 1 Abs irr m b g M view
2 GF(2) 4 b φ2 + φ3 Z 2 0 Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
3 GF(9) 3 a + φ2 Z[b5] 0 0 1 Abs irr m b g M view
3 GF(9) 3 b + φ3 Z[b5] 0 0 1 Abs irr m b g M view
3 GF(3) 4 + φ4 Z 1 1 1 Abs irr m b g M view
3 GF(3) 6 φ2 + φ3 Z 0 0 Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
5 GF(5) 3 + φ2 Z 1 1 1 Abs irr m b g M view
5 GF(5) 5 + φ3 Z 0 0 1 Abs irr m b g M view