Conjugacy Classes
-----------------
[1]     Order 1       Length 1      
        Rep [1 0 0 0 0]
        [0 1 0 0 0]
        [0 0 1 0 0]
        [0 0 0 1 0]
        [0 0 0 0 1]

[2]     Order 2       Length 5      
        Rep [ 1  2  2  1  1]
        [ 0 -1  0  0  0]
        [ 0  0 -1  0  0]
        [ 0  0  0 -1  0]
        [ 0  0  0  0 -1]

[3]     Order 2       Length 10     
        Rep [ 1  2  2  1  1]
        [ 0 -1  0  0  0]
        [ 0  0 -1 -1 -1]
        [ 0  0  0  1  0]
        [ 0  0  0  0  1]

[4]     Order 2       Length 20     
        Rep [ 1  1  0  0  0]
        [ 0 -1  0  0  0]
        [ 0  1  1  0  0]
        [ 0  0  0  1  0]
        [ 0  0  0  0  1]

[5]     Order 2       Length 60     
        Rep [ 1  2  2  1  1]
        [ 0 -1 -1 -1 -1]
        [ 0  0 -1  0  0]
        [ 0  0  1  0  1]
        [ 0  0  1  1  0]

[6]     Order 2       Length 60     
        Rep [ 0  0 -1  0  0]
        [ 0 -1  0  0  0]
        [-1  0  0  0  0]
        [ 1  1  1  1  0]
        [ 1  1  1  0  1]

[7]     Order 3       Length 80     
        Rep [ 0  1  0  0  0]
        [-1 -1  0  0  0]
        [ 1  1  1  0  0]
        [ 0  0  0  1  0]
        [ 0  0  0  0  1]

[8]     Order 4       Length 20     
        Rep [-1 -1 -1  0 -1]
        [ 0  0  1  0  1]
        [ 0  0 -1  0  0]
        [ 0  1  1  0  0]
        [ 0 -1 -1 -1 -1]

[9]     Order 4       Length 60     
        Rep [ 0  0  1  0  0]
        [ 0 -1 -2 -1 -1]
        [-1  0  0  0  0]
        [ 1  1  1  1  0]
        [ 1  1  1  0  1]

[10]    Order 4       Length 60     
        Rep [ 1  1  2  1  1]
        [ 0 -1 -2 -1 -1]
        [ 0  1  1  0  0]
        [ 0  0  0  0  1]
        [ 0  0  0  1  0]

[11]    Order 4       Length 120    
        Rep [ 0  0  1  1  1]
        [-1 -1 -1 -1 -1]
        [ 1  0  0  0  0]
        [ 0  1  1  0  1]
        [ 0  1  1  1  0]

[12]    Order 4       Length 240    
        Rep [ 0  1  1  0  0]
        [-1 -1 -1  0  0]
        [ 1  1  0  0  0]
        [ 0  0  1  1  0]
        [ 0  0  1  0  1]

[13]    Order 5       Length 384    
        Rep [ 0  1  1  1  0]
        [-1 -1 -1 -1  0]
        [ 1  1  0  0  0]
        [ 0  0  1  0  0]
        [ 0  0  1  1  1]

[14]    Order 6       Length 80     
        Rep [ 0  1  1  0  0]
        [ 1  0  0  0  0]
        [-1 -1 -2 -1 -1]
        [ 0  0  1  0  1]
        [ 0  0  1  1  0]

[15]    Order 6       Length 160    
        Rep [ 0  0  1  1  0]
        [-1 -1 -1 -1  0]
        [ 1  0  0  0  0]
        [ 0  1  1  0  0]
        [ 0  1  1  1  1]

[16]    Order 6       Length 160    
        Rep [ 1  1  1  1  1]
        [ 0 -1 -1 -1 -1]
        [ 0  1  0  0  0]
        [ 0  0  1  0  1]
        [ 0  0  1  1  0]

[17]    Order 8       Length 240    
        Rep [ 0  1  1  1  1]
        [-1 -1 -1 -1 -1]
        [ 1  1  0  0  0]
        [ 0  0  1  0  1]
        [ 0  0  1  1  0]

[18]    Order 12      Length 160    
        Rep [ 0  0  1  0  1]
        [ 0  0  0  1  0]
        [-1 -1 -1 -1 -1]
        [ 1  0  0  0  0]
        [ 1  2  2  1  1]