Character Table --------------- ---------------------------------------------------------------- Class | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Size | 1 1 4 4 6 12 12 12 24 32 12 12 12 24 24 48 32 32 32 48 Order | 1 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 6 6 6 8 ---------------------------------------------------------------- p = 2 1 1 1 1 1 1 1 1 1 10 5 5 2 5 5 7 10 10 10 13 p = 3 1 2 3 4 5 6 7 8 9 1 11 12 13 14 15 16 2 4 3 20 ---------------------------------------------------------------- X.1 + 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X.2 + 1 1 1 1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 -1 1 1 1 -1 X.3 + 1 1-1-1 1 1 1 1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 -1 X.4 + 1 1-1-1 1 -1 1 -1 1 1 1 1 1 -1 -1 -1 1 -1 -1 1 X.5 + 2 2-2-2 2 0 2 0 0 -1 0 0 2 -2 0 0 -1 1 1 0 X.6 + 2 2 2 2 2 0 2 0 0 -1 0 0 2 2 0 0 -1 -1 -1 0 X.7 + 3 3-3-3 3 -1 -1 -1 1 0 1 1 -1 1 -1 1 0 0 0 -1 X.8 + 3 3-3-3 3 1 -1 1 -1 0 -1 -1 -1 1 1 -1 0 0 0 1 X.9 + 3 3 3 3 3 1 -1 1 1 0 1 1 -1 -1 1 -1 0 0 0 -1 X.10 + 3 3 3 3 3 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 1 0 0 0 1 X.11 + 4-4-2 2 0 2 0 -2 0 1 -2 2 0 0 0 0 -1 -1 1 0 X.12 + 4-4-2 2 0 -2 0 2 0 1 2 -2 0 0 0 0 -1 -1 1 0 X.13 + 4-4 2-2 0 -2 0 2 0 1 -2 2 0 0 0 0 -1 1 -1 0 X.14 + 4-4 2-2 0 2 0 -2 0 1 2 -2 0 0 0 0 -1 1 -1 0 X.15 + 6 6 0 0-2 2 2 2 0 0 0 0 -2 0 -2 0 0 0 0 0 X.16 + 6 6 0 0-2 -2 2 -2 0 0 0 0 -2 0 2 0 0 0 0 0 X.17 + 6 6 0 0-2 0 -2 0 -2 0 2 2 2 0 0 0 0 0 0 0 X.18 + 6 6 0 0-2 0 -2 0 2 0 -2 -2 2 0 0 0 0 0 0 0 X.19 + 8-8-4 4 0 0 0 0 0 -1 0 0 0 0 0 0 1 1 -1 0 X.20 + 8-8 4-4 0 0 0 0 0 -1 0 0 0 0 0 0 1 -1 1 0