Conjugacy Classes ----------------- [1] Order 1 Length 1 Rep [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 0 0 0 1 0] [0 0 0 0 0 1] [2] Order 2 Length 1 Rep [-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 0 0 0 -1 0] [ 0 0 0 0 0 -1] [3] Order 2 Length 6 Rep [ 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 0 0 0 1 2] [ 0 0 0 0 0 -1] [4] Order 2 Length 6 Rep [-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 0 0 0 -1 -2] [ 0 0 0 0 0 1] [5] Order 2 Length 15 Rep [ 1 0 0 0 0 0] [ 0 1 0 0 0 0] [ 0 0 1 0 0 0] [ 0 0 0 1 2 2] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [6] Order 2 Length 15 Rep [-1 0 0 0 0 0] [ 0 -1 0 0 0 0] [ 0 0 -1 0 0 0] [ 0 0 0 -1 -2 -2] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [7] Order 2 Length 20 Rep [ 1 0 0 0 0 0] [ 0 1 0 0 0 0] [ 0 0 1 2 2 2] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [8] Order 2 Length 30 Rep [ 1 1 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 0] [ 0 0 0 0 0 1] [9] Order 2 Length 30 Rep [-1 -1 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 0] [ 0 0 0 0 0 -1] [10] Order 2 Length 120 Rep [ 1 1 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 2] [ 0 0 0 0 0 -1] [11] Order 2 Length 120 Rep [ 0 0 0 1 0 0] [ 0 0 0 -1 -1 0] [ 0 1 1 1 1 0] [ 1 0 0 0 0 0] [-1 -1 0 0 0 0] [ 0 0 -1 -1 -1 -1] [12] Order 2 Length 120 Rep [-1 -1 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 -2] [ 0 0 0 0 0 1] [13] Order 2 Length 180 Rep [ 0 0 -1 0 0 0] [ 0 -1 0 0 0 0] [-1 0 0 0 0 0] [ 1 1 1 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [14] Order 2 Length 180 Rep [-1 -1 0 0 0 0] [ 0 1 0 0 0 0] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 -2 -2] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [15] Order 2 Length 180 Rep [ 0 0 1 0 0 0] [ 0 1 0 0 0 0] [ 1 0 0 0 0 0] [-1 -1 -1 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [16] Order 2 Length 360 Rep [ 0 0 -1 0 0 0] [ 0 -1 0 0 0 0] [-1 0 0 0 0 0] [ 1 1 1 1 0 0] [ 0 0 0 0 1 2] [ 0 0 0 0 0 -1] [17] Order 3 Length 160 Rep [ 0 1 0 0 0 0] [-1 -1 0 0 0 0] [ 1 1 1 0 0 0] [ 0 0 0 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [18] Order 3 Length 640 Rep [ 0 0 0 0 -1 0] [ 0 -1 -1 -1 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 1] [19] Order 4 Length 30 Rep [ 1 1 2 2 2 2] [ 0 -1 -2 -2 -2 -2] [ 0 1 1 0 0 0] [ 0 0 0 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [20] Order 4 Length 30 Rep [-1 -1 -2 -2 -2 -2] [ 0 1 2 2 2 2] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [21] Order 4 Length 120 Rep [ 0 0 0 -1 0 0] [ 0 0 0 1 1 0] [ 0 1 1 1 1 2] [ 1 0 0 0 0 0] [-1 -1 0 0 0 0] [ 0 0 -1 -1 -1 -1] [22] Order 4 Length 120 Rep [ 1 1 2 2 2 2] [ 0 -1 -2 -2 -2 -2] [ 0 1 1 0 0 0] [ 0 0 0 1 0 0] [ 0 0 0 0 1 2] [ 0 0 0 0 0 -1] [23] Order 4 Length 120 Rep [-1 -1 -2 -2 -2 -2] [ 0 1 2 2 2 2] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 -2] [ 0 0 0 0 0 1] [24] Order 4 Length 180 Rep [-1 -1 -2 -2 -2 -2] [ 0 1 2 2 2 2] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 -2 -2] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [25] Order 4 Length 180 Rep [ 0 0 -1 -2 -2 -2] [ 0 1 2 2 2 2] [-1 -2 -2 -2 -2 -2] [ 1 1 1 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [26] Order 4 Length 180 Rep [ 0 0 1 2 2 2] [ 0 -1 -2 -2 -2 -2] [ 1 2 2 2 2 2] [-1 -1 -1 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [27] Order 4 Length 360 Rep [ 0 0 -1 -2 -2 -2] [ 0 -1 0 0 0 0] [-1 0 0 0 0 0] [ 1 1 1 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [28] Order 4 Length 360 Rep [ 0 0 1 2 2 2] [ 0 1 0 0 0 0] [ 1 0 0 0 0 0] [-1 -1 -1 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [29] Order 4 Length 360 Rep [ 0 0 0 1 0 0] [ 0 0 0 -1 -1 -2] [ 0 1 1 1 1 2] [ 1 0 0 0 0 0] [-1 -1 0 0 0 0] [ 0 0 -1 -1 -1 -1] [30] Order 4 Length 360 Rep [ 0 0 0 -1 -2 -2] [ 0 0 0 1 1 2] [ 0 -1 -1 -1 -1 -2] [-1 0 0 0 0 0] [ 1 1 0 0 0 0] [ 0 0 1 1 1 1] [31] Order 4 Length 360 Rep [ 0 0 -1 -2 -2 -2] [ 0 1 2 2 2 2] [-1 -2 -2 -2 -2 -2] [ 1 1 1 1 0 0] [ 0 0 0 0 1 2] [ 0 0 0 0 0 -1] [32] Order 4 Length 720 Rep [ 0 1 1 0 0 0] [-1 -1 -1 0 0 0] [ 1 1 0 0 0 0] [ 0 0 1 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [33] Order 4 Length 720 Rep [ 0 0 -1 -2 -2 -2] [ 0 -1 0 0 0 0] [-1 0 0 0 0 0] [ 1 1 1 1 0 0] [ 0 0 0 0 1 2] [ 0 0 0 0 0 -1] [34] Order 4 Length 720 Rep [ 0 -1 -1 0 0 0] [ 1 1 1 0 0 0] [-1 -1 0 0 0 0] [ 0 0 -1 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [35] Order 4 Length 1440 Rep [ 0 0 1 1 1 0] [ 1 1 1 1 1 2] [-1 0 0 0 0 0] [ 0 -1 -1 -2 -2 -2] [ 0 0 0 1 2 2] [ 0 0 0 0 -1 -1] [36] Order 4 Length 1440 Rep [ 0 1 1 0 0 0] [-1 -1 -1 0 0 0] [ 1 1 0 0 0 0] [ 0 0 1 1 0 0] [ 0 0 0 0 1 2] [ 0 0 0 0 0 -1] [37] Order 4 Length 1440 Rep [ 0 0 -1 -1 -1 0] [ 1 1 1 1 1 0] [-1 0 0 0 0 0] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 -1] [38] Order 5 Length 2304 Rep [ 0 1 1 1 0 0] [-1 -1 -1 -1 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] [39] Order 6 Length 160 Rep [ 0 1 0 0 0 0] [-1 -1 0 0 0 0] [ 1 1 1 2 2 2] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [40] Order 6 Length 160 Rep [ 0 -1 0 0 0 0] [ 1 1 0 0 0 0] [-1 -1 -1 0 0 0] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [41] Order 6 Length 160 Rep [ 0 -1 0 0 0 0] [ 1 1 0 0 0 0] [-1 -1 -1 -2 -2 -2] [ 0 0 0 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [42] Order 6 Length 480 Rep [ 0 -1 0 0 0 0] [ 1 1 0 0 0 0] [-1 -1 -1 -2 -2 -2] [ 0 0 0 1 2 2] [ 0 0 0 0 -1 -2] [ 0 0 0 0 0 1] [43] Order 6 Length 480 Rep [ 0 -1 0 0 0 0] [ 1 1 0 0 0 0] [-1 -1 -1 0 0 0] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 -2] [ 0 0 0 0 0 1] [44] Order 6 Length 480 Rep [ 0 1 0 0 0 0] [-1 -1 0 0 0 0] [ 1 1 1 0 0 0] [ 0 0 0 1 0 0] [ 0 0 0 0 1 2] [ 0 0 0 0 0 -1] [45] Order 6 Length 480 Rep [ 0 1 0 0 0 0] [-1 -1 0 0 0 0] [ 1 1 1 2 2 2] [ 0 0 0 -1 -2 -2] [ 0 0 0 0 1 2] [ 0 0 0 0 0 -1] [46] Order 6 Length 640 Rep [ 0 0 0 0 1 0] [ 0 1 1 1 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 -1] [47] Order 6 Length 960 Rep [ 0 0 -1 -1 0 0] [ 1 1 1 1 0 0] [-1 0 0 0 0 0] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 -1 0] [ 0 0 0 0 0 -1] [48] Order 6 Length 960 Rep [ 0 0 1 1 0 0] [-1 -1 -1 -1 0 0] [ 1 0 0 0 0 0] [ 0 1 1 0 0 0] [ 0 0 0 1 1 2] [ 0 0 0 0 0 -1] [49] Order 6 Length 960 Rep [ 0 0 -1 -1 0 0] [ 1 1 1 1 0 0] [-1 0 0 0 0 0] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 -1 -2] [ 0 0 0 0 0 1] [50] Order 6 Length 960 Rep [ 0 0 1 1 0 0] [-1 -1 -1 -1 0 0] [ 1 0 0 0 0 0] [ 0 1 1 0 0 0] [ 0 0 0 1 1 0] [ 0 0 0 0 0 1] [51] Order 6 Length 1280 Rep [ 0 0 0 0 -1 -2] [ 0 -1 -1 -1 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 1] [52] Order 6 Length 3840 Rep [ 0 -1 -1 -1 -1 0] [ 1 1 1 1 1 0] [-1 -1 0 0 0 0] [ 0 0 -1 0 0 0] [ 0 0 0 -1 0 0] [ 0 0 0 0 -1 -1] [53] Order 8 Length 720 Rep [ 0 -1 -1 -2 -2 -2] [ 1 1 1 2 2 2] [-1 -1 0 0 0 0] [ 0 0 -1 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [54] Order 8 Length 720 Rep [ 0 1 1 2 2 2] [-1 -1 -1 -2 -2 -2] [ 1 1 0 0 0 0] [ 0 0 1 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [55] Order 8 Length 1440 Rep [ 0 0 1 1 1 2] [-1 -1 -1 -1 -1 -2] [ 1 0 0 0 0 0] [ 0 1 1 0 0 0] [ 0 0 0 1 0 0] [ 0 0 0 0 1 1] [56] Order 8 Length 1440 Rep [ 0 0 1 1 1 2] [ 1 1 1 1 1 0] [-1 0 0 0 0 0] [ 0 -1 -1 -2 -2 -2] [ 0 0 0 1 2 2] [ 0 0 0 0 -1 -1] [57] Order 8 Length 1440 Rep [ 0 -1 -1 -2 -2 -2] [ 1 1 1 2 2 2] [-1 -1 0 0 0 0] [ 0 0 -1 -1 0 0] [ 0 0 0 0 -1 -2] [ 0 0 0 0 0 1] [58] Order 10 Length 2304 Rep [ 0 -1 -1 -1 0 0] [ 1 1 1 1 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] [59] Order 10 Length 2304 Rep [ 0 1 1 1 0 0] [-1 -1 -1 -1 0 0] [ 1 1 0 0 0 0] [ 0 0 1 0 0 0] [ 0 0 0 1 1 2] [ 0 0 0 0 0 -1] [60] Order 10 Length 2304 Rep [ 0 -1 -1 -1 0 0] [ 1 1 1 1 0 0] [-1 -1 0 0 0 0] [ 0 0 -1 0 0 0] [ 0 0 0 -1 -1 -2] [ 0 0 0 0 0 1] [61] Order 12 Length 960 Rep [ 0 0 -1 -1 -2 -2] [-1 -1 -1 -1 0 0] [ 1 0 0 0 0 0] [ 0 1 1 2 2 2] [ 0 0 0 -1 -1 -2] [ 0 0 0 0 0 1] [62] Order 12 Length 960 Rep [ 0 0 1 1 2 2] [ 1 1 1 1 0 0] [-1 0 0 0 0 0] [ 0 -1 -1 -2 -2 -2] [ 0 0 0 1 1 0] [ 0 0 0 0 0 1] [63] Order 12 Length 960 Rep [ 0 0 -1 -1 -2 -2] [-1 -1 -1 -1 0 0] [ 1 0 0 0 0 0] [ 0 1 1 2 2 2] [ 0 0 0 -1 -1 0] [ 0 0 0 0 0 -1] [64] Order 12 Length 960 Rep [ 0 0 1 1 2 2] [ 1 1 1 1 0 0] [-1 0 0 0 0 0] [ 0 -1 -1 -2 -2 -2] [ 0 0 0 1 1 2] [ 0 0 0 0 0 -1] [65] Order 12 Length 3840 Rep [ 0 1 1 1 1 2] [-1 -1 -1 -1 -1 -2] [ 1 1 0 0 0 0] [ 0 0 1 0 0 0] [ 0 0 0 1 0 0] [ 0 0 0 0 1 1]