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 36 Rep [ 1 1 1 1 1 0] [ 0 0 -1 -1 -1 0] [ 0 -1 0 -1 -1 0] [ 0 1 1 2 1 0] [ 0 -1 -1 -1 0 0] [ 0 1 1 1 1 1] [3] Order 2 Length 45 Rep [ 0 0 0 0 1 0] [ 0 -1 0 0 0 0] [ 0 0 0 0 0 1] [-1 0 -1 -1 -1 -1] [ 1 0 0 0 0 0] [ 0 0 1 0 0 0] [4] Order 2 Length 270 Rep [ 0 -1 -1 -1 0 0] [-1 -1 -1 -2 -1 0] [ 0 1 1 1 1 0] [ 0 0 0 1 0 0] [ 1 0 1 0 0 0] [ 0 1 0 1 1 1] [5] Order 2 Length 540 Rep [ 0 1 0 1 1 1] [ 1 1 1 2 1 0] [-1 -1 -1 -1 -1 -1] [ 0 0 0 -1 -1 0] [ 0 0 0 0 1 0] [ 0 -1 -1 -1 -1 0] [6] Order 3 Length 80 Rep [ 0 0 1 1 0 0] [ 0 -1 -1 -1 -1 -1] [ 0 1 0 1 1 0] [-1 -1 -1 -2 -1 0] [ 1 1 1 2 1 1] [ 0 0 0 -1 -1 -1] [7] Order 3 Length 240 Rep [ 1 1 1 1 1 1] [ 0 1 0 1 0 0] [ 0 0 1 1 0 0] [ 0 -1 -1 -2 -1 -1] [ 0 1 1 2 2 1] [ 0 -1 -1 -1 -1 0] [8] Order 3 Length 480 Rep [ 0 -1 0 -1 -1 -1] [-1 -1 -2 -2 -2 -1] [ 0 1 0 1 1 0] [ 0 0 1 1 1 1] [ 1 0 0 0 0 0] [ 0 1 1 1 0 0] [9] Order 4 Length 540 Rep [ 0 0 -1 -1 0 0] [-1 -1 -1 -2 -1 -1] [ 0 -1 0 -1 -1 0] [ 0 1 0 1 0 0] [ 1 0 1 1 1 0] [ 0 1 1 1 1 1] [10] Order 4 Length 540 Rep [ 0 1 0 1 1 1] [ 0 0 0 1 1 0] [ 0 0 0 0 -1 -1] [ 0 0 0 -1 0 0] [-1 -1 -1 -1 -1 0] [ 1 0 0 0 0 0] [11] Order 4 Length 1620 Rep [ 0 0 0 -1 -1 -1] [ 1 1 1 1 1 1] [ 0 -1 -1 -1 0 0] [ 0 0 1 1 0 0] [ 0 1 0 1 1 0] [-1 -1 -1 -2 -1 0] [12] Order 4 Length 3240 Rep [ 1 1 2 2 1 0] [ 0 0 -1 -1 -1 -1] [-1 0 -1 -1 0 0] [ 0 -1 0 -1 -1 0] [ 1 1 1 2 2 1] [-1 -1 -1 -1 -1 -1] [13] Order 5 Length 5184 Rep [ 1 1 1 2 1 1] [-1 0 -1 -1 -1 0] [ 0 0 0 -1 0 0] [ 0 0 0 1 1 0] [ 0 -1 -1 -2 -2 -1] [ 0 0 1 1 1 1] [14] Order 6 Length 720 Rep [ 0 0 0 1 1 0] [ 0 0 -1 -1 -1 -1] [ 1 1 1 1 1 1] [-1 -1 -1 -1 -1 0] [ 1 1 2 2 1 0] [-1 0 -1 -1 0 0] [15] Order 6 Length 1440 Rep [ 1 0 1 1 0 0] [ 0 0 1 1 1 0] [ 0 1 0 1 1 0] [ 0 0 0 -1 -1 0] [ 0 -1 -1 -1 0 0] [ 0 1 1 2 1 1] [16] Order 6 Length 1440 Rep [ 0 1 0 1 1 0] [ 0 0 -1 -1 -1 0] [-1 -2 -2 -3 -2 -1] [ 1 1 2 2 1 0] [ 0 0 0 1 1 1] [ 0 0 0 -1 0 0] [17] Order 6 Length 1440 Rep [ 1 1 2 3 2 1] [ 1 0 0 0 0 0] [ 0 1 0 0 0 0] [-1 -1 -1 -1 0 0] [ 0 0 0 0 -1 0] [ 0 0 0 0 0 -1] [18] Order 6 Length 1440 Rep [ 0 0 0 0 -1 0] [ 0 -1 0 0 0 0] [ 0 1 1 2 2 1] [-1 -1 -2 -3 -2 -1] [ 1 1 2 2 1 0] [ 0 0 -1 0 0 0] [19] Order 6 Length 2160 Rep [ 0 0 0 1 1 1] [-1 -2 -2 -3 -2 -1] [ 0 0 0 0 0 -1] [ 0 1 1 1 1 1] [ 1 0 1 1 0 0] [ 0 0 -1 -1 0 0] [20] Order 6 Length 4320 Rep [ 0 0 0 -1 0 0] [ 0 0 1 1 1 0] [ 0 0 0 0 -1 -1] [ 0 1 0 1 1 1] [-1 -2 -2 -3 -2 -1] [ 1 1 2 2 1 1] [21] Order 8 Length 6480 Rep [ 0 0 0 1 1 0] [ 1 1 2 2 1 0] [-1 -1 -1 -2 -2 -1] [ 0 0 0 0 1 1] [ 0 0 -1 -1 -1 -1] [ 0 1 1 2 1 1] [22] Order 9 Length 5760 Rep [-1 -1 -1 -2 -1 -1] [ 0 0 0 0 -1 -1] [ 1 0 0 0 0 0] [ 0 0 1 1 1 1] [ 0 1 0 0 0 0] [ 0 0 0 1 1 0] [23] Order 10 Length 5184 Rep [-1 -1 -1 -1 -1 -1] [ 0 -1 0 -1 0 0] [ 0 1 1 1 1 1] [ 1 1 1 2 1 0] [-1 -1 -2 -2 -1 0] [ 0 0 0 -1 -1 -1] [24] Order 12 Length 4320 Rep [ 0 -1 -1 -1 -1 0] [ 1 0 1 0 0 0] [-1 -1 -1 -2 -1 -1] [ 0 1 1 2 1 1] [ 0 0 -1 -1 -1 -1] [ 0 0 0 0 1 1] [25] Order 12 Length 4320 Rep [ 1 1 2 2 1 0] [ 0 -1 0 -1 0 0] [-1 -1 -2 -2 -1 -1] [ 0 1 1 2 1 1] [ 1 0 0 0 0 0] [-1 -1 -1 -2 -2 -1]