Conjugacy Classes ----------------- [1] Order 1 Length 1 Rep [1 0 0 0 0 0 0] [0 1 0 0 0 0 0] [0 0 1 0 0 0 0] [0 0 0 1 0 0 0] [0 0 0 0 1 0 0] [0 0 0 0 0 1 0] [0 0 0 0 0 0 1] [2] Order 2 Length 7 Rep [ 1 2 2 2 2 1 1] [ 0 -1 0 0 0 0 0] [ 0 0 -1 0 0 0 0] [ 0 0 0 -1 0 0 0] [ 0 0 0 0 -1 0 0] [ 0 0 0 0 0 -1 0] [ 0 0 0 0 0 0 -1] [3] Order 2 Length 21 Rep [ 1 0 0 0 0 0 0] [ 0 1 0 0 0 0 0] [ 0 0 1 0 0 0 0] [ 0 0 0 1 0 0 0] [ 0 0 0 0 1 1 1] [ 0 0 0 0 0 -1 0] [ 0 0 0 0 0 0 -1] [4] Order 2 Length 35 Rep [ 1 0 0 0 0 0 0] [ 0 1 0 0 0 0 0] [ 0 0 1 2 2 1 1] [ 0 0 0 -1 0 0 0] [ 0 0 0 0 -1 0 0] [ 0 0 0 0 0 -1 0] [ 0 0 0 0 0 0 -1] [5] Order 2 Length 42 Rep [ 1 0 0 0 0 0 0] [ 0 1 1 1 1 0 0] [ 0 0 0 -1 -1 0 0] [ 0 0 0 1 0 0 0] [ 0 0 -1 -1 0 0 0] [ 0 0 1 1 1 1 0] [ 0 0 1 1 1 0 1] [6] Order 2 Length 210 Rep [ 1 2 2 2 2 1 1] [ 0 -1 -1 -1 -1 -1 -1] [ 0 0 0 1 1 1 1] [ 0 0 0 -1 0 0 0] [ 0 0 -1 -1 -2 -1 -1] [ 0 0 1 1 1 0 1] [ 0 0 1 1 1 1 0] [7] Order 2 Length 420 Rep [ 1 0 0 0 0 0 0] [ 0 1 1 1 1 0 0] [ 0 0 0 -1 -1 0 0] [ 0 0 0 1 2 1 1] [ 0 0 -1 -1 -2 -1 -1] [ 0 0 1 1 1 0 1] [ 0 0 1 1 1 1 0] [8] Order 2 Length 420 Rep [ 0 -1 -1 0 0 0 0] [ 0 1 1 1 0 0 0] [-1 -1 -1 -1 0 0 0] [ 1 1 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] [9] Order 2 Length 840 Rep [ 0 -1 -1 -1 0 0 0] [ 0 1 1 1 1 0 0] [ 0 0 0 0 0 1 0] [-1 -1 -1 -1 -1 -1 0] [ 1 1 0 0 0 0 0] [ 0 0 1 0 0 0 0] [ 0 0 1 2 2 1 1] [10] Order 2 Length 1260 Rep [ 0 -1 -1 0 0 0 0] [ 0 1 1 1 0 0 0] [-1 -1 -1 -1 0 0 0] [ 1 1 0 0 0 0 0] [ 0 0 1 1 1 1 1] [ 0 0 0 0 0 -1 0] [ 0 0 0 0 0 0 -1] [11] Order 3 Length 280 Rep [ 1 1 1 1 1 1 0] [ 0 0 -1 -1 -1 -1 0] [ 0 -1 0 0 0 0 0] [ 0 1 1 1 0 0 0] [ 0 0 0 0 1 0 0] [ 0 0 0 -1 -1 0 0] [ 0 0 0 1 1 1 1] [12] Order 3 Length 4480 Rep [ 0 -1 0 0 0 0 0] [ 0 1 1 1 1 1 0] [ 0 0 0 0 -1 -1 0] [ 0 0 0 0 1 0 0] [ 0 0 0 -1 -1 0 0] [-1 -1 -1 0 0 0 0] [ 1 1 1 2 2 1 1] [13] Order 4 Length 42 Rep [-1 0 0 0 0 0 0] [ 0 -1 -1 -1 -1 0 0] [ 0 0 0 1 1 0 0] [ 0 0 0 -1 0 0 0] [ 0 0 -1 -1 -2 -1 -1] [ 0 0 1 1 1 0 1] [ 0 0 1 1 1 1 0] [14] Order 4 Length 210 Rep [ 1 0 0 0 0 0 0] [ 0 1 1 1 1 1 1] [ 0 0 0 -1 -1 -1 -1] [ 0 0 0 1 0 0 0] [ 0 0 -1 -1 0 0 0] [ 0 0 1 1 1 0 1] [ 0 0 1 1 1 1 0] [15] Order 4 Length 420 Rep [ 1 0 0 0 0 0 0] [ 0 1 1 1 1 1 1] [ 0 0 0 1 1 0 0] [ 0 0 0 -1 0 0 0] [ 0 0 -1 -1 -2 -1 -1] [ 0 0 1 1 1 0 1] [ 0 0 1 1 1 1 0] [16] Order 4 Length 420 Rep [ 0 -1 -1 -2 -2 -1 -1] [ 0 1 1 1 0 0 0] [-1 -1 -1 -1 0 0 0] [ 1 1 2 2 2 1 1] [ 0 0 -1 -1 -1 -1 -1] [ 0 0 0 0 0 1 0] [ 0 0 0 0 0 0 1] [17] Order 4 Length 840 Rep [ 0 1 1 0 0 0 0] [ 0 -1 -1 -1 0 0 0] [ 1 1 1 1 0 0 0] [-1 -1 -2 -2 -2 -1 -1] [ 0 0 1 1 1 1 1] [ 0 0 0 0 0 -1 0] [ 0 0 0 0 0 0 -1] [18] Order 4 Length 840 Rep [ 0 1 1 1 2 1 1] [ 0 -1 -1 -1 -1 0 0] [ 0 0 0 0 0 -1 0] [ 1 1 1 1 1 1 0] [-1 -1 -2 -2 -2 -1 -1] [ 0 0 1 0 0 0 0] [ 0 0 1 2 2 1 1] [19] Order 4 Length 1260 Rep [ 0 -1 -1 -2 -2 -1 -1] [ 0 1 1 1 0 0 0] [-1 -1 -1 -1 0 0 0] [ 1 1 2 2 2 1 1] [ 0 0 -1 -1 -1 0 0] [ 0 0 0 0 0 -1 0] [ 0 0 0 0 0 0 -1] [20] Order 4 Length 1680 Rep [ 0 0 0 0 -1 -1 0] [ 0 0 -1 -1 0 0 0] [ 0 0 1 0 0 0 0] [-1 -1 -1 0 0 0 0] [ 1 1 1 1 1 0 0] [ 0 -1 -1 -1 -1 0 0] [ 0 1 1 1 1 1 1] [21] Order 4 Length 2520 Rep [ 0 -1 -1 -1 0 0 0] [ 0 1 1 1 1 1 1] [ 0 0 0 0 0 -1 0] [-1 -1 -1 -1 -1 0 -1] [ 1 1 0 0 0 0 0] [ 0 0 1 0 0 0 0] [ 0 0 1 2 2 1 1] [22] Order 4 Length 2520 Rep [ 0 -1 -1 -2 -2 -1 -1] [ 0 1 1 1 2 1 1] [-1 -1 -1 -1 -2 -1 -1] [ 1 1 2 2 2 1 1] [ 0 0 -1 -1 -1 0 0] [ 0 0 0 0 0 0 -1] [ 0 0 0 0 0 -1 0] [23] Order 4 Length 2520 Rep [ 0 1 1 1 0 0 0] [ 0 -1 -1 -1 -1 0 0] [ 0 0 0 0 0 0 -1] [ 1 1 1 1 1 0 1] [-1 -1 -2 -2 -2 -1 -1] [ 0 0 1 0 0 0 0] [ 0 0 1 2 2 1 1] [24] Order 4 Length 5040 Rep [ 0 0 0 0 -1 -1 0] [ 0 0 1 1 2 1 1] [ 0 0 -1 0 0 0 0] [-1 -1 -1 -2 -2 -1 -1] [ 1 1 1 1 1 0 0] [ 0 -1 -1 -1 -1 0 0] [ 0 1 1 1 1 1 1] [25] Order 4 Length 10080 Rep [ 0 0 0 0 1 0 1] [-1 -1 -1 -1 -1 0 -1] [ 1 1 0 0 0 0 0] [ 0 0 1 0 0 0 0] [ 0 0 0 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1] [ 0 1 1 1 1 0 0] [26] Order 4 Length 10080 Rep [ 0 0 0 0 1 1 0] [-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 0 0] [ 0 -1 -1 -1 -1 0 0] [ 0 1 1 1 1 1 1] [27] Order 5 Length 8064 Rep [ 1 0 0 0 0 0 0] [ 0 1 1 1 1 1 0] [ 0 0 0 0 0 -1 0] [ 0 0 -1 -1 -1 0 0] [ 0 0 1 1 0 0 0] [ 0 0 0 -1 0 0 0] [ 0 0 0 1 2 1 1] [28] Order 6 Length 280 Rep [-1 -1 -1 -1 -1 0 -1] [ 0 0 1 1 1 0 1] [ 0 1 0 0 0 0 0] [ 0 -1 -1 -1 0 0 0] [ 0 0 0 0 -1 0 0] [ 0 0 0 1 1 0 0] [ 0 0 0 -1 -1 -1 -1] [29] Order 6 Length 1120 Rep [ 1 1 1 1 1 0 1] [ 0 0 -1 -1 -1 0 -1] [ 0 -1 0 0 0 0 0] [ 0 1 1 1 0 0 0] [ 0 0 0 0 1 1 1] [ 0 0 0 -1 -1 -1 -1] [ 0 0 0 1 1 0 0] [30] Order 6 Length 1120 Rep [ 1 1 1 1 1 1 0] [ 0 0 1 1 1 0 1] [ 0 -1 -2 -2 -2 -1 -1] [ 0 1 1 1 2 1 1] [ 0 0 0 0 -1 0 0] [ 0 0 0 1 1 0 0] [ 0 0 0 -1 -1 -1 -1] [31] Order 6 Length 1680 Rep [ 1 1 1 1 1 1 0] [ 0 0 -1 -1 -1 -1 0] [ 0 -1 0 0 0 0 0] [ 0 1 1 1 2 1 1] [ 0 0 0 0 -1 0 0] [ 0 0 0 -1 -1 -1 -1] [ 0 0 0 1 1 0 0] [32] Order 6 Length 3360 Rep [ 1 1 1 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 0 -1 -1 0 0 0] [ 0 -1 0 0 0 0 0] [ 0 1 2 2 2 1 1] [33] Order 6 Length 3360 Rep [-1 0 0 0 0 0 0] [ 1 1 1 1 1 0 0] [ 0 0 -1 -1 -1 0 0] [ 0 0 1 1 1 1 0] [ 0 0 0 -1 -1 -1 0] [ 0 0 0 1 0 0 0] [ 0 0 0 1 2 1 1] [34] Order 6 Length 3360 Rep [-1 -1 -1 -2 -2 -1 -1] [ 0 0 0 1 1 0 0] [ 0 0 0 0 0 0 1] [ 0 0 0 0 1 1 0] [ 0 0 -1 -1 -2 -1 -1] [ 0 1 2 2 2 1 1] [ 0 -1 0 0 0 0 0] [35] Order 6 Length 4480 Rep [ 0 -1 0 0 0 0 0] [ 0 1 1 1 1 0 1] [ 0 0 0 0 1 1 0] [ 0 0 0 0 -1 -1 -1] [ 0 0 0 -1 -1 0 0] [-1 -1 -1 0 0 0 0] [ 1 1 1 2 2 1 1] [36] Order 6 Length 6720 Rep [ 1 1 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 0] [ 0 0 -1 -1 -2 -1 -1] [ 0 -1 0 0 0 0 0] [ 0 1 2 2 2 1 1] [37] Order 6 Length 8960 Rep [ 0 1 2 2 2 1 1] [ 0 -1 -1 -1 -1 -1 0] [ 0 0 0 0 -1 0 -1] [ 0 0 0 0 1 1 1] [ 0 0 0 -1 -1 -1 -1] [ 1 1 1 2 2 1 1] [-1 -1 -1 0 0 0 0] [38] Order 6 Length 26880 Rep [ 0 -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 1 0] [-1 -1 -1 -1 -1 -1 0] [ 1 1 1 1 1 0 0] [ 1 1 1 1 1 1 1] [39] Order 7 Length 46080 Rep [ 0 1 1 1 1 0 0] [ 0 0 0 -1 -1 0 0] [-1 -1 -1 0 0 0 0] [ 1 1 0 0 0 0 0] [ 0 0 1 1 1 1 0] [ 0 0 0 0 -1 -1 0] [ 0 0 0 0 1 0 1] [40] Order 8 Length 1680 Rep [ 0 0 0 0 -1 0 -1] [ 0 0 1 1 2 1 1] [ 0 0 -1 0 0 0 0] [-1 -1 -1 -2 -2 -1 -1] [ 1 1 1 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1] [ 0 1 1 1 1 0 0] [41] Order 8 Length 5040 Rep [ 0 0 0 0 -1 0 -1] [ 0 0 -1 -1 0 0 0] [ 0 0 1 0 0 0 0] [-1 -1 -1 0 0 0 0] [ 1 1 1 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1] [ 0 1 1 1 1 0 0] [42] Order 8 Length 10080 Rep [ 0 0 0 0 -1 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 -1 -1 -1 -1 -1 -1] [ 0 1 1 1 1 0 0] [43] Order 8 Length 10080 Rep [ 0 0 0 0 -1 -1 0] [-1 -1 -1 -1 -1 0 -1] [ 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 0 0] [ 0 1 1 1 1 1 1] [44] Order 10 Length 8064 Rep [-1 0 0 0 0 0 0] [ 0 -1 -1 -1 -1 0 -1] [ 0 0 0 0 0 -1 0] [ 0 0 -1 -1 -1 0 0] [ 0 0 1 1 0 0 0] [ 0 0 0 -1 0 0 0] [ 0 0 0 1 2 1 1] [45] Order 10 Length 16128 Rep [ 0 0 0 0 1 1 0] [ 0 0 0 -1 -1 -1 0] [ 0 0 0 1 1 0 0] [ 0 0 -1 -1 -1 0 0] [-1 -1 0 0 0 0 0] [ 1 0 0 0 0 0 0] [ 1 2 2 2 2 1 1] [46] Order 10 Length 16128 Rep [ 1 2 2 2 2 1 1] [ 0 -1 -1 -1 -1 0 -1] [ 0 0 0 0 0 -1 0] [ 0 0 -1 -1 -1 0 0] [ 0 0 1 1 0 0 0] [ 0 0 0 1 2 1 1] [ 0 0 0 -1 0 0 0] [47] Order 12 Length 3360 Rep [ 1 1 1 0 0 0 0] [ 0 0 0 1 1 1 1] [ 0 0 0 0 0 -1 0] [ 0 0 0 0 -1 0 -1] [ 0 0 -1 -1 0 0 0] [ 0 -1 0 0 0 0 0] [ 0 1 2 2 2 1 1] [48] Order 12 Length 3360 Rep [-1 -1 -1 -2 -2 -1 -1] [ 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 -1] [ 0 0 0 0 1 0 1] [ 0 0 -1 -1 -2 -1 -1] [ 0 1 2 2 2 1 1] [ 0 -1 0 0 0 0 0] [49] Order 12 Length 3360 Rep [-1 -2 -2 -2 -2 -1 -1] [ 1 1 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1] [ 0 0 1 1 1 0 1] [ 0 0 0 1 1 1 0] [ 0 0 0 -1 -2 -1 -1] [ 0 0 0 -1 0 0 0] [50] Order 12 Length 6720 Rep [ 1 1 1 0 0 0 0] [ 0 0 0 1 1 1 1] [ 0 0 0 0 0 0 -1] [ 0 0 0 0 1 0 1] [ 0 0 -1 -1 -2 -1 -1] [ 0 -1 0 0 0 0 0] [ 0 1 2 2 2 1 1] [51] Order 12 Length 6720 Rep [-1 0 0 0 0 0 0] [ 1 1 1 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1] [ 0 0 1 1 1 0 1] [ 0 0 0 -1 -1 0 -1] [ 0 0 0 1 0 0 0] [ 0 0 0 1 2 1 1] [52] Order 12 Length 13440 Rep [ 0 0 0 0 1 1 0] [ 0 0 0 -1 -1 -1 0] [ 0 0 0 1 1 0 0] [ 0 -1 -1 -1 -1 0 0] [ 0 1 0 0 0 0 0] [-1 -1 0 0 0 0 0] [ 1 1 2 2 2 1 1] [53] Order 12 Length 26880 Rep [ 0 1 1 2 2 1 1] [ 0 -1 -1 -1 -2 -1 -1] [ 0 0 -1 -1 0 0 0] [ 0 0 1 1 1 1 0] [ 1 1 1 1 1 0 1] [-1 -1 -1 -1 -1 -1 -1] [-1 -1 -1 -1 -1 0 0] [54] Order 20 Length 16128 Rep [ 0 0 0 0 1 0 1] [ 0 0 0 -1 -1 0 -1] [ 0 0 0 1 1 1 1] [ 0 0 -1 -1 -1 -1 -1] [-1 -1 0 0 0 0 0] [ 1 0 0 0 0 0 0] [ 1 2 2 2 2 1 1] [55] Order 24 Length 13440 Rep [ 0 0 0 0 1 0 1] [ 0 0 0 -1 -1 0 -1] [ 0 0 0 1 1 1 1] [ 0 -1 -1 -1 -1 -1 -1] [ 0 1 0 0 0 0 0] [-1 -1 0 0 0 0 0] [ 1 1 2 2 2 1 1]