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 21     
        Rep [ 1  1  1  1  0  0]
        [ 0  0 -1 -1  0  0]
        [ 0  0  1  0  0  0]
        [ 0 -1 -1  0  0  0]
        [ 0  1  1  1  1  0]
        [ 0  0  0  0  0  1]

[3]     Order 2       Length 105    
        Rep [ 1  1  0  0  0  0]
        [ 0 -1  0  0  0  0]
        [ 0  1  1  0  0  0]
        [ 0  0  0  1  1  0]
        [ 0  0  0  0 -1  0]
        [ 0  0  0  0  1  1]

[4]     Order 2       Length 105    
        Rep [ 0  0  0  0  1  1]
        [ 0  0  0 -1 -1 -1]
        [ 0  0 -1  0  0  0]
        [-1 -1  0  0  0  0]
        [ 1  1  1  1  1  0]
        [ 0 -1 -1 -1 -1  0]

[5]     Order 3       Length 70     
        Rep [ 0 -1  0  0  0  0]
        [ 0  1  1  1  1  0]
        [ 0  0  0 -1 -1  0]
        [ 0  0  0  1  0  0]
        [-1 -1 -1 -1  0  0]
        [ 1  1  1  1  1  1]

[6]     Order 3       Length 280    
        Rep [ 0  1  1  1  0  0]
        [ 0  0  0  0  1  1]
        [ 0  0  0 -1 -1 -1]
        [-1 -1 -1  0  0  0]
        [ 1  1  0  0  0  0]
        [ 0  0  1  1  1  0]

[7]     Order 4       Length 210    
        Rep [ 0 -1 -1 -1 -1  0]
        [ 0  1  0  0  0  0]
        [ 0  0  1  0  0  0]
        [ 0  0  0  1  1  1]
        [ 0  0  0  0 -1 -1]
        [-1 -1 -1 -1  0  0]

[8]     Order 4       Length 630    
        Rep [ 1  1  1  0  0  0]
        [ 0  0  0  1  1  1]
        [ 0  0 -1 -1 -1 -1]
        [ 0  0  1  1  1  0]
        [ 0  0  0  0 -1  0]
        [ 0 -1 -1 -1  0  0]

[9]     Order 5       Length 504    
        Rep [ 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  1  1]
        [ 0 -1 -1 -1 -1 -1]

[10]    Order 6       Length 210    
        Rep [ 0  0  0  0 -1  0]
        [ 0  0  0 -1  0  0]
        [ 0  0 -1  0  0  0]
        [ 0  0  1  1  1  1]
        [-1 -1 -1 -1 -1 -1]
        [ 1  0  0  0  0  0]

[11]    Order 6       Length 420    
        Rep [ 0  0  0  0 -1  0]
        [-1 -1 -1 -1  0  0]
        [ 1  1  1  0  0  0]
        [ 0 -1 -1  0  0  0]
        [ 0  1  0  0  0  0]
        [ 0  0  1  1  1  1]

[12]    Order 6       Length 840    
        Rep [ 0  1  0  0  0  0]
        [ 0  0  1  1  0  0]
        [-1 -1 -1 -1  0  0]
        [ 1  1  1  1  1  1]
        [ 0  0  0  0  0 -1]
        [ 0  0  0 -1 -1  0]

[13]    Order 7       Length 720    
        Rep [ 0  0  0  0  1  1]
        [ 0 -1 -1 -1 -1 -1]
        [ 0  1  1  1  1  0]
        [ 0  0  0 -1 -1  0]
        [ 0  0 -1  0  0  0]
        [-1 -1  0  0  0  0]

[14]    Order 10      Length 504    
        Rep [-1 -1  0  0  0  0]
        [ 1  1  1  0  0  0]
        [ 0  0  0  1  1  0]
        [ 0  0  0  0  0  1]
        [ 0 -1 -1 -1 -1 -1]
        [ 0  1  1  1  0  0]

[15]    Order 12      Length 420    
        Rep [ 0  0  0  1  1  1]
        [-1 -1 -1 -1 -1 -1]
        [ 1  1  1  1  1  0]
        [ 0 -1 -1 -1 -1  0]
        [ 0  1  0  0  0  0]
        [ 0  0  1  1  0  0]