Permutation Representations

Points ID Prim Trans Rank Suborbits Char Stab Files
9 Primitive 3 2 1, 8 m b g M view
28 Primitive 1 4 1, 93 m b g M view
36 Primitive 1 5 1, 73, 14 m b g M view

Matrix Representations

Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
0 Z 7 a + χ2 Z 1 Abs irr m b g M view
0 Z[y9, 1/3] 7 b + χ3 Z[y9] 1 Abs irr m b g M view
0 Z[y9, 1/3] 7 c + χ4 Z[y9] 1 Abs irr m b g M view
0 Z[y9, 1/3] 7 d + χ5 Z[y9] 1 Abs irr m b g M view
0 Z 8 + χ6 Z 1 Abs irr m b g M view
0 Z[y7] 9 a + χ7 Z[y7] 1 Abs irr m b g M view
0 Z[y7] 9 b + χ8 Z[y7] 1 Abs irr m b g M view
0 Z[y7] 9 c + χ9 Z[y7] 1 Abs irr m b g M view
0 Z 27 χ7 + χ8 + χ9 Z Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
2 GF(8) 2 a − 1 1 Abs irr m b g M view
2 GF(8) 2 b − 1 1 Abs irr m b g M view
2 GF(8) 2 c − 1 1 Abs irr m b g M view
2 GF(8) 4 a + 0 0 Abs irr m b g M view
2 GF(8) 4 b + 0 0 Abs irr m b g M view
2 GF(8) 4 c + 0 0 Abs irr m b g M view
2 GF(2) 6 3 3 Irr not abs irr m b g M view
2 GF(2) 8 + 0 0 Abs irr m b g M view
2 GF(2) 12 0 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(3) 7 + 1 1 Abs irr m b g M view
3 GF(27) 9 a + 0 0 Abs irr m b g M view
3 GF(27) 9 b + 0 0 Abs irr m b g M view
3 GF(27) 9 c + 0 0 Abs irr m b g M view
3 GF(3) 27 0 0 Irr not abs irr m b g M view
Char Ring Dim ID Ind Character Char Rng H1 H2 Schur Irr Files
7 GF(7) 7 a + 1 1 Abs irr m b g M view
7 GF(7) 8 + 1 1 Abs irr m b g M view
7 GF(7) 21 0 0 Irr not abs irr m b g M view