Conjugacy Classes ----------------- [1] Order 1 Length 1 Rep [1 0 0 0 0 0 0 0] [0 1 0 0 0 0 0 0] [0 0 1 0 0 0 0 0] [0 0 0 1 0 0 0 0] [0 0 0 0 1 0 0 0] [0 0 0 0 0 1 0 0] [0 0 0 0 0 0 1 0] [0 0 0 0 0 0 0 1] [2] Order 2 Length 36 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 1 0 0] [ 0 0 0 -1 -1 -1 0 0] [ 0 0 0 1 0 0 0 0] [ 0 0 0 0 1 0 0 0] [ 0 0 -1 -1 -1 0 0 0] [ 0 0 1 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [3] Order 2 Length 378 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 -1 0 0 0] [ 0 0 0 0 1 1 1 0] [ 0 0 0 0 0 0 0 1] [4] Order 2 Length 945 Rep [ 1 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 1 1] [ 0 0 0 0 0 0 -1 -1] [ 0 0 0 0 0 0 1 0] [ 0 -1 -1 -1 -1 -1 -1 0] [ 0 1 1 0 0 0 0 0] [ 0 0 0 1 0 0 0 0] [ 0 0 -1 -1 0 0 0 0] [5] Order 2 Length 1260 Rep [-1 0 0 0 0 0 0 0] [ 1 1 1 1 1 1 1 1] [ 0 0 0 -1 -1 -1 -1 -1] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [ 0 0 0 0 0 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 -1 -1 0 0 0 0] [6] Order 3 Length 168 Rep [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 0 0 0 0 0] [ 0 0 0 1 0 0 0 0] [ 0 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 -1 -1] [ 0 0 0 0 0 0 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [7] Order 3 Length 2240 Rep [ 0 0 0 0 0 0 0 1] [-1 -1 -1 -1 -1 -1 -1 -1] [ 1 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 0 0 0] [8] Order 3 Length 3360 Rep [ 0 -1 -1 -1 -1 -1 -1 -1] [ 0 1 1 1 1 1 1 0] [ 0 0 0 -1 -1 -1 -1 0] [ 0 0 -1 0 0 0 0 0] [-1 -1 0 0 0 0 0 0] [ 1 1 1 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 0 0 0] [9] Order 4 Length 756 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 -1 -1 0 0 0 0] [ 0 0 1 1 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [10] Order 4 Length 7560 Rep [ 0 0 0 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 0 1 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 0 0 0] [ 0 0 0 0 0 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 0 0 0 0 0 0 0] [11] Order 4 Length 11340 Rep [ 0 0 0 -1 0 0 0 0] [ 0 -1 -1 0 0 0 0 0] [ 0 1 1 1 1 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 -1 -1 -1 0 0 0] [ 0 0 1 1 1 1 1 1] [12] Order 4 Length 11340 Rep [ 1 1 1 1 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1 -1] [ 0 1 1 1 1 1 1 0] [ 0 0 0 -1 -1 -1 -1 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [13] Order 5 Length 3024 Rep [ 1 1 1 1 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1 -1] [ 0 1 1 0 0 0 0 0] [ 0 0 0 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 0 -1 -1 -1 -1 0 0] [ 0 0 1 1 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [14] Order 6 Length 2520 Rep [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 1 0 0] [ 0 0 0 0 0 0 1 1] [ 0 0 0 0 0 -1 -1 -1] [ 0 0 0 0 -1 0 0 0] [ 0 0 -1 -1 0 0 0 0] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [15] Order 6 Length 2520 Rep [ 1 1 0 0 0 0 0 0] [ 0 0 1 1 1 1 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 0 0 0] [ 0 0 0 0 0 1 0 0] [ 0 0 0 -1 -1 -1 0 0] [ 0 -1 -1 0 0 0 0 0] [16] Order 6 Length 7560 Rep [ 0 -1 -1 -1 -1 -1 -1 -1] [ 0 1 1 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 0 0] [-1 -1 -1 -1 -1 -1 0 0] [ 1 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [17] Order 6 Length 10080 Rep [ 0 0 0 0 1 1 1 0] [ 0 -1 -1 -1 -1 -1 -1 0] [ 0 1 1 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 0 0 0] [ 0 0 0 0 0 1 0 0] [ 0 0 0 0 0 0 1 1] [-1 -1 -1 -1 -1 -1 -1 -1] [18] Order 6 Length 10080 Rep [ 0 0 1 1 1 1 0 0] [ 0 0 0 -1 -1 -1 0 0] [-1 -1 -1 0 0 0 0 0] [ 1 1 1 1 1 0 0 0] [ 0 0 0 0 -1 0 0 0] [ 0 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 -1 -1 -1 -1 -1 -1 0] [19] Order 6 Length 20160 Rep [ 0 0 0 0 0 0 0 1] [ 0 0 0 0 0 -1 -1 -1] [-1 -1 -1 -1 -1 0 0 0] [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 1 0 0] [ 0 0 -1 -1 -1 -1 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 -1 0 0 0 0] [20] Order 6 Length 30240 Rep [ 0 -1 0 0 0 0 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 0 0 0 0 -1 -1] [-1 -1 -1 -1 -1 -1 0 0] [ 1 1 1 1 0 0 0 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 0 0 0] [ 0 0 0 0 0 1 1 0] [21] Order 7 Length 25920 Rep [ 0 0 0 0 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 1 0] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 -1 -1 -1 0 0] [-1 -1 -1 0 0 0 0 0] [22] Order 8 Length 45360 Rep [ 1 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 0 1 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 -1 -1 -1 -1 -1 -1 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 0 0 0 0 0] [23] Order 9 Length 40320 Rep [ 0 0 0 0 0 0 -1 -1] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 1 1 1 1 0] [ 0 0 -1 -1 -1 -1 -1 0] [ 0 0 1 1 0 0 0 0] [-1 -1 -1 -1 0 0 0 0] [ 1 1 1 1 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [24] Order 10 Length 9072 Rep [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [-1 -1 -1 -1 -1 -1 -1 -1] [ 1 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 1 0 0 0 0] [ 0 0 -1 -1 0 0 0 0] [25] Order 10 Length 18144 Rep [ 0 0 0 0 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 -1 -1 0 0 0] [-1 -1 -1 0 0 0 0 0] [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 0 -1 -1 -1 -1 -1 0] [26] Order 12 Length 15120 Rep [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 -1 -1 -1 0 0] [ 0 0 0 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 0 1 1 1 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [27] Order 12 Length 15120 Rep [ 0 0 0 0 0 0 0 1] [ 0 0 0 0 0 -1 -1 -1] [-1 -1 -1 -1 -1 0 0 0] [ 1 1 0 0 0 0 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [28] Order 14 Length 25920 Rep [ 0 0 0 1 1 0 0 0] [ 0 0 0 0 0 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 -1 -1 -1 0 0 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [-1 -1 0 0 0 0 0 0] [ 1 1 1 1 1 1 1 0] [29] Order 15 Length 24192 Rep [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 1 1 1] [-1 -1 -1 -1 -1 -1 -1 -1] [ 1 1 0 0 0 0 0 0] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [30] Order 20 Length 18144 Rep [ 0 0 0 0 0 -1 -1 -1] [-1 -1 -1 -1 -1 0 0 0] [ 1 1 0 0 0 0 0 0] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 1 1 1 1 0] [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 -1 -1 -1 0 0] Conjugacy Classes ----------------- [1] Order 1 Length 1 Rep [1 0 0 0 0 0 0 0] [0 1 0 0 0 0 0 0] [0 0 1 0 0 0 0 0] [0 0 0 1 0 0 0 0] [0 0 0 0 1 0 0 0] [0 0 0 0 0 1 0 0] [0 0 0 0 0 0 1 0] [0 0 0 0 0 0 0 1] [2] Order 2 Length 36 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [3] Order 2 Length 378 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 1 1 0 0 0] [ 0 0 0 0 -1 0 0 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 0 0 0 1 1] [4] Order 2 Length 945 Rep [ 0 0 -1 0 0 0 0 0] [ 0 -1 0 0 0 0 0 0] [-1 0 0 0 0 0 0 0] [ 1 1 1 1 1 1 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 -1 0 0 0] [5] Order 2 Length 1260 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [ 0 0 0 0 0 0 -1 -1] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 -1 0 0 0] [ 0 0 -1 -1 0 0 0 0] [ 0 0 1 0 0 0 0 0] [6] Order 3 Length 168 Rep [ 1 1 1 1 1 0 0 0] [ 0 0 -1 -1 -1 0 0 0] [ 0 0 1 0 0 0 0 0] [ 0 -1 -1 0 0 0 0 0] [ 0 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 0 0 0 1 0] [ 0 0 0 0 0 0 0 1] [7] Order 3 Length 2240 Rep [ 0 0 0 0 0 0 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 -1 -1 -1 -1 -1 -1 0] [-1 0 0 0 0 0 0 0] [ 1 1 0 0 0 0 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 0 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [8] Order 3 Length 3360 Rep [ 1 1 1 0 0 0 0 0] [ 0 0 0 1 1 0 0 0] [ 0 0 0 0 0 1 1 0] [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 -1 -1] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 0 0 0 0 0 0] [9] Order 4 Length 756 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 1 1 1 1 0] [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 -1 -1 -1 0 0] [ 0 0 0 1 1 0 0 0] [ 0 0 0 0 0 1 1 1] [10] Order 4 Length 7560 Rep [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 1 0 0 0 0 0] [-1 -1 -1 0 0 0 0 0] [ 1 1 1 1 1 1 1 0] [ 0 0 -1 -1 -1 -1 -1 0] [ 0 0 1 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 1 1 1] [11] Order 4 Length 11340 Rep [-1 -1 0 0 0 0 0 0] [ 1 1 1 0 0 0 0 0] [ 0 -1 -1 0 0 0 0 0] [ 0 1 1 1 1 1 1 0] [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 0 0 0 1 1] [ 0 0 0 0 0 -1 -1 -1] [12] Order 4 Length 11340 Rep [ 0 0 0 1 1 1 1 1] [ 0 0 0 0 -1 -1 -1 -1] [-1 -1 -1 -1 0 0 0 0] [ 1 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 1 0] [ 0 0 0 0 0 0 -1 0] [ 0 0 -1 -1 -1 -1 0 0] [ 0 -1 0 0 0 0 0 0] [13] Order 5 Length 3024 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 0 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 0 0 0] [ 0 0 0 0 0 1 1 0] [ 0 0 0 0 0 0 0 1] [ 0 0 -1 -1 -1 -1 -1 -1] [14] Order 6 Length 2520 Rep [ 0 1 1 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 0 0 0] [-1 -1 -1 -1 -1 0 0 0] [ 1 1 1 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [15] Order 6 Length 2520 Rep [ 0 0 0 0 0 0 0 -1] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 -1 0 0 0 0 0 0] [-1 0 0 0 0 0 0 0] [16] Order 6 Length 7560 Rep [ 0 -1 0 0 0 0 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 0 0 0 -1 -1 -1] [ 0 0 0 0 -1 0 0 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 0 -1 0] [-1 -1 -1 -1 -1 -1 0 0] [17] Order 6 Length 10080 Rep [ 1 1 1 0 0 0 0 0] [ 0 0 0 1 1 0 0 0] [ 0 0 -1 -1 -1 0 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 0 1 1 1 0] [ 0 -1 -1 -1 -1 -1 -1 0] [ 0 1 1 1 1 1 0 0] [ 0 0 0 0 0 0 1 1] [18] Order 6 Length 10080 Rep [ 0 0 0 -1 -1 -1 0 0] [ 0 0 0 1 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1 -1] [-1 0 0 0 0 0 0 0] [ 1 1 0 0 0 0 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 0 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [19] Order 6 Length 20160 Rep [-1 -1 -1 -1 -1 0 0 0] [ 1 1 1 0 0 0 0 0] [ 0 0 0 1 0 0 0 0] [ 0 0 0 0 1 1 1 0] [ 0 -1 -1 -1 -1 -1 -1 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 1 1 1 1 1] [ 0 0 0 0 0 0 -1 -1] [20] Order 6 Length 30240 Rep [ 0 0 0 0 0 0 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 0 -1 -1 -1 -1 -1 0] [ 0 0 1 1 0 0 0 0] [ 0 -1 -1 -1 0 0 0 0] [-1 0 0 0 0 0 0 0] [ 1 1 1 1 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [21] Order 7 Length 25920 Rep [ 0 0 1 1 0 0 0 0] [ 0 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 0 -1] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 0 0 0 0 0] [22] Order 8 Length 45360 Rep [ 0 0 0 0 0 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 0 1 1 1 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 0 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 0 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [23] Order 9 Length 40320 Rep [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 -1 -1] [ 0 0 -1 -1 -1 -1 0 0] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 1 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [-1 -1 -1 0 0 0 0 0] [24] Order 10 Length 9072 Rep [ 0 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 1 0 0] [ 0 0 0 0 0 0 1 1] [ 0 0 0 -1 -1 -1 -1 -1] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 0 0 0] [25] Order 10 Length 18144 Rep [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 0 0 0 0 0 0] [ 0 0 1 1 1 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 1 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [ 0 0 0 1 1 1 1 1] [ 0 0 0 0 -1 -1 -1 -1] [26] Order 12 Length 15120 Rep [ 0 -1 -1 -1 -1 -1 -1 -1] [-1 0 0 0 0 0 0 0] [ 1 1 1 1 1 1 0 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [ 0 0 0 -1 -1 0 0 0] [ 0 0 -1 0 0 0 0 0] [27] Order 12 Length 15120 Rep [ 0 0 0 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 -1 -1 -1 0 0 0] [ 0 0 1 1 1 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 1 1 1] [ 0 0 0 0 -1 -1 -1 -1] [ 0 -1 -1 -1 0 0 0 0] [28] Order 14 Length 25920 Rep [ 0 0 0 0 0 0 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 0 0 0] [-1 -1 -1 -1 -1 0 0 0] [ 1 1 0 0 0 0 0 0] [ 0 0 1 0 0 0 0 0] [ 0 -1 -1 0 0 0 0 0] [29] Order 15 Length 24192 Rep [ 1 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 0 0 0 0 0 1 0] [ 0 0 0 0 0 -1 -1 0] [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 0 1 0 0 0 0 0] [30] Order 20 Length 18144 Rep [ 0 0 0 0 0 0 0 -1] [ 0 0 0 -1 -1 -1 -1 0] [-1 -1 -1 0 0 0 0 0] [ 1 1 1 1 1 0 0 0] [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [ 0 0 -1 -1 -1 -1 0 0] Conjugacy Classes ----------------- [1] Order 1 Length 1 Rep [1 0 0 0 0 0 0 0] [0 1 0 0 0 0 0 0] [0 0 1 0 0 0 0 0] [0 0 0 1 0 0 0 0] [0 0 0 0 1 0 0 0] [0 0 0 0 0 1 0 0] [0 0 0 0 0 0 1 0] [0 0 0 0 0 0 0 1] [2] Order 2 Length 36 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 0 1 0 0 0] [ 0 0 0 0 0 1 0 0] [ 0 0 0 0 0 0 1 0] [ 0 0 0 0 0 0 0 1] [3] Order 2 Length 378 Rep [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 1 0 0 0 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 0 0 0] [-1 -1 -1 -1 -1 0 0 0] [ 1 1 1 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [4] Order 2 Length 945 Rep [ 0 0 1 0 0 0 0 0] [-1 -1 -1 0 0 0 0 0] [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 1 1 0] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 -1 0 0 0] [ 0 0 0 0 1 1 1 1] [5] Order 2 Length 1260 Rep [ 1 1 1 0 0 0 0 0] [ 0 0 0 1 0 0 0 0] [ 0 -1 -1 -1 0 0 0 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 1 1 0 0 0] [ 0 0 0 0 0 1 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 0 0 0 0 0 -1 0] [6] Order 3 Length 168 Rep [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 0 0 0] [ 0 0 0 -1 -1 0 0 0] [ 0 0 0 1 0 0 0 0] [ 0 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 -1 -1] [ 0 0 0 0 0 0 1 0] [ 0 0 -1 -1 -1 -1 -1 0] [7] Order 3 Length 2240 Rep [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 1 0 0] [ 0 0 -1 -1 -1 -1 0 0] [ 0 0 1 1 1 1 1 1] [-1 -1 -1 -1 -1 -1 -1 -1] [ 1 1 1 0 0 0 0 0] [ 0 0 0 1 1 0 0 0] [ 0 -1 -1 -1 -1 0 0 0] [8] Order 3 Length 3360 Rep [ 0 1 1 1 1 1 1 0] [ 0 0 -1 -1 -1 -1 -1 0] [ 0 0 1 0 0 0 0 0] [ 0 0 0 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 0 1 1 1] [-1 -1 -1 -1 -1 -1 -1 -1] [ 1 1 1 1 0 0 0 0] [9] Order 4 Length 756 Rep [ 1 1 1 1 1 0 0 0] [ 0 0 -1 -1 -1 0 0 0] [ 0 0 1 0 0 0 0 0] [ 0 -1 -1 0 0 0 0 0] [ 0 1 1 1 1 1 1 0] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 1 1 1] [10] Order 4 Length 7560 Rep [ 0 0 0 0 0 0 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 0 1 1 0 0 0 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 0 0 0] [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 1 1 1 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [11] Order 4 Length 11340 Rep [ 0 0 0 0 0 0 -1 0] [ 0 0 0 0 -1 -1 0 0] [ 0 0 0 0 1 0 0 0] [-1 -1 -1 -1 -1 0 0 0] [ 1 0 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 1 1] [12] Order 4 Length 11340 Rep [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 1 1] [-1 -1 -1 -1 -1 -1 -1 -1] [ 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 1 0] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 0 -1 -1 0 0] [13] Order 5 Length 3024 Rep [ 1 1 1 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 0 1 0 0 0 0 0] [ 0 -1 -1 0 0 0 0 0] [ 0 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 1 0] [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 0 1 1 0 0] [14] Order 6 Length 2520 Rep [ 0 0 -1 -1 -1 -1 -1 0] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 0 1 0 0 0 0] [-1 -1 -1 -1 0 0 0 0] [ 1 1 1 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 0 1 1 1] [15] Order 6 Length 2520 Rep [ 0 0 -1 -1 0 0 0 0] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 1 1 1 0 0] [ 0 0 0 0 0 0 1 1] [ 0 0 0 0 0 0 0 -1] [ 0 0 0 -1 -1 -1 -1 0] [ 0 0 0 1 1 0 0 0] [-1 -1 -1 -1 -1 0 0 0] [16] Order 6 Length 7560 Rep [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 0 0 -1 -1 -1 -1] [ 0 0 0 -1 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [-1 -1 0 0 0 0 0 0] [ 1 1 1 1 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [17] Order 6 Length 10080 Rep [ 0 0 0 0 -1 -1 -1 -1] [ 0 0 -1 -1 0 0 0 0] [ 0 0 1 0 0 0 0 0] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [-1 -1 -1 -1 -1 0 0 0] [ 1 1 1 1 1 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [18] Order 6 Length 10080 Rep [ 0 1 1 1 1 1 1 0] [ 0 0 0 0 0 0 -1 0] [ 0 0 0 -1 -1 -1 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 1 1] [ 0 0 0 0 -1 -1 -1 -1] [-1 -1 -1 -1 0 0 0 0] [ 1 1 1 1 1 0 0 0] [19] Order 6 Length 20160 Rep [ 0 0 0 0 0 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 0 -1 -1 -1 -1 -1] [ 0 0 0 1 1 1 1 0] [ 0 0 0 0 -1 -1 -1 0] [-1 -1 -1 -1 0 0 0 0] [ 1 1 0 0 0 0 0 0] [20] Order 6 Length 30240 Rep [ 0 0 0 0 0 0 0 -1] [ 0 0 0 0 -1 -1 -1 0] [ 0 -1 -1 -1 0 0 0 0] [ 0 1 1 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [-1 -1 -1 -1 -1 0 0 0] [21] Order 7 Length 25920 Rep [ 0 -1 -1 0 0 0 0 0] [ 0 1 0 0 0 0 0 0] [ 0 0 1 1 1 1 1 0] [ 0 0 0 0 0 0 0 1] [ 0 0 0 0 0 0 -1 -1] [-1 -1 -1 -1 -1 -1 0 0] [ 1 1 1 1 0 0 0 0] [ 0 0 0 0 1 0 0 0] [22] Order 8 Length 45360 Rep [ 1 1 1 1 1 1 1 0] [ 0 0 0 0 0 -1 -1 0] [ 0 0 0 0 0 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [ 0 0 1 0 0 0 0 0] [ 0 -1 -1 0 0 0 0 0] [ 0 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 0 0] [23] Order 9 Length 40320 Rep [ 0 0 0 0 0 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 1 0 0] [ 0 0 -1 -1 -1 -1 0 0] [ 0 -1 0 0 0 0 0 0] [ 0 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 1 1] [ 0 0 0 -1 -1 -1 -1 -1] [24] Order 10 Length 9072 Rep [ 0 0 -1 -1 -1 -1 0 0] [ 0 0 1 1 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1 -1] [ 0 1 1 0 0 0 0 0] [ 0 0 0 1 1 1 1 0] [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 0 0 0] [ 0 0 0 0 -1 0 0 0] [25] Order 10 Length 18144 Rep [ 1 1 1 1 1 1 1 0] [ 0 0 0 -1 -1 -1 -1 0] [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 1 1 1 1 1 1] [ 0 0 0 0 -1 -1 -1 -1] [26] Order 12 Length 15120 Rep [-1 -1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 0 0 0] [ 0 -1 -1 -1 -1 0 0 0] [ 0 1 1 1 1 1 0 0] [ 0 0 -1 -1 -1 -1 0 0] [ 0 0 1 1 1 1 1 1] [ 0 0 0 -1 -1 -1 -1 -1] [ 0 0 0 1 0 0 0 0] [27] Order 12 Length 15120 Rep [ 0 0 0 1 0 0 0 0] [-1 -1 -1 -1 0 0 0 0] [ 1 1 0 0 0 0 0 0] [ 0 0 1 1 1 1 1 0] [ 0 -1 -1 -1 -1 -1 -1 0] [ 0 1 1 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 0 1 1 1] [28] Order 14 Length 25920 Rep [ 0 0 -1 0 0 0 0 0] [ 0 0 1 1 1 1 0 0] [ 0 0 0 0 0 -1 0 0] [ 0 0 0 0 0 1 1 0] [ 0 0 0 0 0 0 0 1] [-1 -1 -1 -1 -1 -1 -1 -1] [ 1 1 1 1 0 0 0 0] [ 0 -1 -1 -1 0 0 0 0] [29] Order 15 Length 24192 Rep [ 0 0 1 1 1 0 0 0] [ 0 0 0 0 0 1 1 1] [ 0 0 0 -1 -1 -1 -1 -1] [-1 -1 -1 0 0 0 0 0] [ 1 1 1 1 1 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0] [ 0 1 1 1 0 0 0 0] [ 0 0 0 0 1 1 1 0] [30] Order 20 Length 18144 Rep [ 0 0 0 0 -1 -1 -1 0] [ 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1 -1] [-1 -1 0 0 0 0 0 0] [ 1 1 1 1 1 0 0 0] [ 0 0 0 0 0 1 0 0] [ 0 -1 -1 -1 -1 -1 0 0]