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 15 Rep [-1 0 0 0 0 0] [ 0 -1 0 0 0 0] [ 0 0 -1 0 0 0] [ 0 0 0 -1 -1 -1] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [4] 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 1 1] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [5] 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] [6] 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] [7] Order 2 Length 60 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] [-1 -1 -2 -2 -1 -1] [8] Order 2 Length 60 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] [ 1 1 2 2 1 1] [9] 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 -1 -1] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [10] 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] [11] 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] [12] 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] [13] 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 1 2 1 1] [14] Order 4 Length 120 Rep [-1 -1 -2 -2 -1 -1] [ 0 1 2 2 1 1] [ 0 -1 -1 0 0 0] [ 0 0 0 -1 0 0] [ 0 0 0 0 0 -1] [ 0 0 0 0 -1 0] [15] Order 4 Length 120 Rep [ 1 1 2 2 1 1] [ 0 -1 -2 -2 -1 -1] [ 0 1 1 0 0 0] [ 0 0 0 1 0 0] [ 0 0 0 0 0 1] [ 0 0 0 0 1 0] [16] Order 4 Length 180 Rep [ 0 0 1 2 1 1] [ 0 -1 -2 -2 -1 -1] [ 1 2 2 2 1 1] [-1 -1 -1 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [17] Order 4 Length 180 Rep [ 0 0 -1 -2 -1 -1] [ 0 1 2 2 1 1] [-1 -2 -2 -2 -1 -1] [ 1 1 1 1 0 0] [ 0 0 0 0 1 0] [ 0 0 0 0 0 1] [18] Order 4 Length 360 Rep [ 0 0 0 -1 -1 -1] [ 0 0 0 1 0 1] [ 0 -1 -1 -1 0 -1] [-1 0 0 0 0 0] [ 1 1 0 0 0 0] [ 1 1 2 2 1 1] [19] 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] [20] 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] [21] Order 4 Length 720 Rep [ 0 0 1 2 1 1] [ 0 1 0 0 0 0] [ 1 0 0 0 0 0] [-1 -1 -1 -1 0 0] [ 0 0 0 0 0 -1] [ 0 0 0 0 -1 0] [22] Order 4 Length 720 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 1 1 1] [23] Order 4 Length 720 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 -1 -1 -1] [24] 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 1 0 1] [25] 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] [26] Order 6 Length 480 Rep [ 0 -1 0 0 0 0] [ 1 1 0 0 0 0] [-1 -1 -1 -2 -1 -1] [ 0 0 0 1 1 1] [ 0 0 0 0 0 -1] [ 0 0 0 0 -1 0] [27] Order 6 Length 480 Rep [ 0 1 0 0 0 0] [-1 -1 0 0 0 0] [ 1 1 1 2 1 1] [ 0 0 0 -1 -1 -1] [ 0 0 0 0 0 1] [ 0 0 0 0 1 0] [28] 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 -1 -2 -1 -1] [29] 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 -1 0 -1] [30] 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 1 0 1] [31] Order 6 Length 1920 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 -1 -1 -1] [32] Order 6 Length 1920 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 1 1 1] [33] Order 8 Length 1440 Rep [ 0 1 1 2 1 1] [-1 -1 -1 -2 -1 -1] [ 1 1 0 0 0 0] [ 0 0 1 1 0 0] [ 0 0 0 0 0 1] [ 0 0 0 0 1 0] [34] Order 8 Length 1440 Rep [ 0 0 -1 -1 0 -1] [-1 -1 -1 -1 -1 0] [ 1 0 0 0 0 0] [ 0 1 1 2 1 1] [ 0 0 0 -1 -1 -1] [ 0 0 0 -1 0 0] [35] 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 -1 0 -1] [36] Order 12 Length 960 Rep [ 0 0 -1 -1 -1 -1] [-1 -1 -1 -1 0 0] [ 1 0 0 0 0 0] [ 0 1 1 2 1 1] [ 0 0 0 -1 0 -1] [ 0 0 0 -1 -1 0] [37] Order 12 Length 960 Rep [ 0 0 1 1 1 1] [ 1 1 1 1 0 0] [-1 0 0 0 0 0] [ 0 -1 -1 -2 -1 -1] [ 0 0 0 1 0 1] [ 0 0 0 1 1 0]