Character Table --------------- --------------------------------------------------------------------------------------------------------------------------------------------------------------- Class | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 Size | 1 7 21 35 42 210 420 420 840 1260 280 4480 42 210 420 420 840 840 1260 1680 2520 2520 2520 5040 10080 10080 8064 280 1120 1120 1680 3360 3360 3360 Order | 1 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 --------------------------------------------------------------------------------------------------------------------------------------------------------------- p = 2 1 1 1 1 1 1 1 1 1 1 11 12 3 3 3 4 3 2 4 8 4 3 3 8 10 8 27 11 11 11 11 11 11 11 p = 3 1 2 3 4 5 6 7 8 9 10 1 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 4 2 3 5 8 7 p = 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 28 29 30 31 32 33 34 p = 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 --------------------------------------------------------------------------------------------------------------------------------------------------------------- X.1 + 1 1 1 1 1 1 1 1 1 1 1 1 1 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 -1 1 -1 -1 1 1 1 1 1 1 1 -1 1 -1 X.3 + 6 6 6 6 4 4 4 2 0 2 3 0 4 4 4 2 2 0 2 2 0 2 0 2 0 0 1 3 3 3 3 1 -1 1 X.4 + 6 6 6 6 -4 -4 -4 2 0 2 3 0 -4 -4 -4 2 2 0 2 -2 0 2 0 -2 0 0 1 3 3 3 3 -1 -1 -1 X.5 + 7 -5 3 -1 -5 3 -1 3 -1 -1 4 1 5 -3 1 3 -3 1 -1 -3 -1 1 1 1 -1 1 2 -4 2 -2 0 -2 0 2 X.6 + 7 -5 3 -1 5 -3 1 3 1 -1 4 1 -5 3 -1 3 -3 -1 -1 3 1 1 -1 -1 -1 1 2 -4 2 -2 0 2 0 -2 X.7 + 14 14 14 14 4 4 4 2 0 2 -1 2 4 4 4 2 2 0 2 -2 0 2 0 -2 0 0 -1 -1 -1 -1 -1 1 -1 1 X.8 + 14 14 14 14 6 6 6 2 2 2 2 -1 6 6 6 2 2 2 2 0 2 2 2 0 0 0 -1 2 2 2 2 0 2 0 X.9 + 14 14 14 14 -6 -6 -6 2 -2 2 2 -1 -6 -6 -6 2 2 -2 2 0 -2 2 -2 0 0 0 -1 2 2 2 2 0 2 0 X.10 + 14 14 14 14 -4 -4 -4 2 0 2 -1 2 -4 -4 -4 2 2 0 2 2 0 2 0 2 0 0 -1 -1 -1 -1 -1 -1 -1 -1 X.11 + 15 15 15 15 5 5 5 -1 -3 -1 3 0 5 5 5 -1 -1 -3 -1 1 -3 -1 -3 1 -1 -1 0 3 3 3 3 -1 -1 -1 X.12 + 15 15 15 15 -5 -5 -5 -1 3 -1 3 0 -5 -5 -5 -1 -1 3 -1 -1 3 -1 3 -1 -1 -1 0 3 3 3 3 1 -1 1 X.13 + 20 20 20 20 0 0 0 -4 0 -4 2 2 0 0 0 -4 -4 0 -4 0 0 -4 0 0 0 0 0 2 2 2 2 0 2 0 X.14 + 21 9 1 -3 11 3 -1 5 3 1 6 0 9 1 -3 1 3 -3 -3 3 -1 -1 1 -1 -1 1 1 6 0 0 -2 2 2 2 X.15 + 21 9 1 -3 9 1 -3 1 -3 -3 6 0 11 3 -1 5 3 3 1 3 1 -1 -1 -1 1 -1 1 6 0 0 -2 0 -2 0 X.16 + 21 9 1 -3 -9 -1 3 1 3 -3 6 0-11 -3 1 5 3 -3 1 -3 -1 -1 1 1 1 -1 1 6 0 0 -2 0 -2 0 X.17 + 21 9 1 -3-11 -3 1 5 -3 1 6 0 -9 -1 3 1 3 3 -3 -3 1 -1 -1 1 -1 1 1 6 0 0 -2 -2 2 -2 X.18 + 21 21 21 21 1 1 1 1 -3 1 -3 0 1 1 1 1 1 -3 1 -1 -3 1 -3 -1 -1 -1 1 -3 -3 -3 -3 1 1 1 X.19 + 21 21 21 21 -1 -1 -1 1 3 1 -3 0 -1 -1 -1 1 1 3 1 1 3 1 3 1 -1 -1 1 -3 -3 -3 -3 -1 1 -1 X.20 + 35 -5 -5 3-15 1 1 7 -3 -1 5 2 5 5 -3 -5 -1 -3 3 -1 1 -1 1 -1 1 1 0 -3 -3 1 1 -3 1 1 X.21 + 35 -5 -5 3 -5 -5 3 -5 3 3 5 2 15 -1 -1 7 -1 3 -1 -1 -1 -1 -1 -1 -1 -1 0 -3 -3 1 1 1 1 -3 X.22 + 35 -5 -5 3 5 5 -3 -5 -3 3 5 2-15 1 1 7 -1 -3 -1 1 1 -1 1 1 -1 -1 0 -3 -3 1 1 -1 1 3 X.23 + 35 -5 -5 3 15 -1 -1 7 3 -1 5 2 -5 -5 3 -5 -1 3 3 1 -1 -1 -1 1 1 1 0 -3 -3 1 1 3 1 -1 X.24 + 35 35 35 35 5 5 5 -1 1 -1 -1 -1 5 5 5 -1 -1 1 -1 -1 1 -1 1 -1 1 1 0 -1 -1 -1 -1 -1 -1 -1 X.25 + 35 35 35 35 -5 -5 -5 -1 -1 -1 -1 -1 -5 -5 -5 -1 -1 -1 -1 1 -1 -1 -1 1 1 1 0 -1 -1 -1 -1 1 -1 1 X.26 + 35-25 15 -5 -5 3 -1 3 3 -1 -4 2 5 -3 1 3 -3 -3 -1 3 3 1 -3 -1 1 -1 0 4 -2 2 0 -2 0 2 X.27 + 35-25 15 -5-15 9 -3 3 1 -1 8 -1 15 -9 3 3 -3 -1 -1 -3 1 1 -1 1 1 -1 0 -8 4 -4 0 0 0 0 X.28 + 35-25 15 -5 15 -9 3 3 -1 -1 8 -1-15 9 -3 3 -3 1 -1 3 -1 1 1 -1 1 -1 0 -8 4 -4 0 0 0 0 X.29 + 35-25 15 -5 5 -3 1 3 -3 -1 -4 2 -5 3 -1 3 -3 3 -1 -3 -3 1 3 1 1 -1 0 4 -2 2 0 2 0 -2 X.30 + 63-45 27 -9-15 9 -3 3 -3 -1 0 0 15 -9 3 3 -3 3 -1 3 -3 1 3 -1 -1 1 -2 0 0 0 0 0 0 0 X.31 + 63-45 27 -9 15 -9 3 3 3 -1 0 0-15 9 -3 3 -3 -3 -1 -3 3 1 -3 1 -1 1 -2 0 0 0 0 0 0 0 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5 -11 5 -7 -3 1 3 0 25 -7 1 5 1 -3 -3 1 1 1 1 1 1 1 0 3 -3 -3 3 -1 -1 -1 X.44 + 105-15-15 9 -5 11 -5 -7 3 1 3 0-25 7 -1 5 1 3 -3 -1 -1 1 -1 -1 1 1 0 3 -3 -3 3 1 -1 1 X.45 + 105-15-15 9-25 7 -1 5 3 -3 3 0 -5 11 -5 -7 1 3 1 1 -1 1 -1 1 -1 -1 0 3 -3 -3 3 -1 -1 -1 X.46 + 105 45 5-15 15 7 3 5 3 1 -6 0 5 -3 -7 1 3 -3 -3 -3 -1 -1 1 1 1 -1 0 -6 0 0 2 0 2 0 X.47 + 105 45 5-15 5 -3 -7 1 -3 -3 -6 0 15 7 3 5 3 3 1 -3 1 -1 -1 1 -1 1 0 -6 0 0 2 2 -2 2 X.48 + 105 45 5-15 -5 3 7 1 3 -3 -6 0-15 -7 -3 5 3 -3 1 3 -1 -1 1 -1 -1 1 0 -6 0 0 2 -2 -2 -2 X.49 + 105 45 5-15-15 -7 -3 5 -3 1 -6 0 -5 3 7 1 3 3 -3 3 1 -1 -1 -1 1 -1 0 -6 0 0 2 0 2 0 X.50 + 112-80 48-16 0 0 0 0 0 0 -8 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 -4 4 0 0 0 0 X.51 + 126 54 6-18 -6 -6 -6 -6 6 2 0 0 6 6 6 -6 -6 -6 2 0 -2 2 2 0 0 0 1 0 0 0 0 0 0 0 X.52 + 126 54 6-18 6 6 6 -6 -6 2 0 0 -6 -6 -6 -6 -6 6 2 0 2 2 -2 0 0 0 1 0 0 0 0 0 0 0 X.53 + 140-20-20 12 0 0 0 4 0 4 -10 2 0 0 0 4 -4 0 4 0 0 -4 0 0 0 0 0 6 6 -2 -2 0 -2 0 X.54 + 210-30-30 18-20 -4 4 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---------------------------------------------------------------------------------------------------------------------------- X.1 + 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 -1 X.3 + 0 1 0 0 -1 2 2 0 0 1 -1 1 1 1 -1 1 -1 -1 0 -1 -1 X.4 + 0 -1 0 0 -1 -2 -2 0 0 1 1 1 -1 -1 -1 -1 -1 1 0 1 1 X.5 + 1 0 -1 -1 0 3 -1 -1 1 -2 0 0 -2 2 0 0 0 0 1 0 0 X.6 + 1 0 -1 1 0 -3 1 -1 1 -2 0 0 2 -2 0 0 0 0 -1 0 0 X.7 + 2 1 2 0 0 -2 -2 0 0 -1 -1 -1 1 1 -1 1 -1 1 0 -1 1 X.8 + -1 0 -1 -1 0 0 0 0 0 -1 1 -1 0 0 2 0 2 0 -1 1 0 X.9 + -1 0 -1 1 0 0 0 0 0 -1 -1 -1 0 0 2 0 2 0 1 -1 0 X.10 + 2 -1 2 0 0 2 2 0 0 -1 1 -1 -1 -1 -1 -1 -1 -1 0 1 -1 X.11 + 0 -1 0 0 1 1 1 -1 -1 0 0 0 -1 -1 -1 -1 -1 1 0 0 1 X.12 + 0 1 0 0 1 -1 -1 -1 -1 0 0 0 1 1 -1 1 -1 -1 0 0 -1 X.13 + 2 0 2 0 -1 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 X.14 + 0 0 0 0 0 3 -1 1 -1 1 1 -1 0 0 -2 -2 0 0 0 -1 0 X.15 + 0 -2 0 0 0 3 -1 -1 1 1 -1 -1 2 2 2 0 0 0 0 1 0 X.16 + 0 2 0 0 0 -3 1 -1 1 1 1 -1 -2 -2 2 0 0 0 0 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