Number of selected skew morphism classes of C578 is 0
Total number of skew morphisms of C578 is 8752
Total number of skew morphism classes of C578 is 17
Total number of automorphisms of C578 is 272

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 578
     φ | √φ | φ' | φ|<578>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 2
     φ | √φ | φ' | φ2
   
   

3. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 4
     φ | √φ | φ' | φ4
   
   

4. Skew morphsim class of size 4
     
     of order 8
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 8
     φ | √φ | φ' | φ8
   
   

5. Skew morphsim class of size 16
     
     of order 17
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 17
     φ | √φ | φ' | φ17
   
   

6. Skew morphsim class of size 16
     
     of order 34
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 34
     φ | √φ | φ' | φ34
   
   

7. Skew morphsim class of size 32
     
     of order 68
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 68
     φ | √φ | φ' | φ68
   
   

8. Skew morphsim class of size 64
     
     of order 136
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 136
     φ | √φ | φ' | φ136
   
   

9. Skew morphsim class of size 8
     
     of order 16
     with kernel of order 578
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 16
     φ | √φ | φ' | φ16
   
   

10. Skew morphsim class of size 128
      
      of order 272
      with kernel of order 578
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 272
      φ | √φ | φ' | φ272
    
    

11. Skew morphsim class of size 16
      
      of order 17
      with kernel of order 289
      and smallest kernel generator 2
      and power function values [ 1, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

12. Skew morphsim class of size 272
      
      of order 289
      with kernel of order 289
      and smallest kernel generator 2
      and power function values [ 1, 288 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

13. Skew morphsim class of size 256
      
      of order 34
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

14. Skew morphsim class of size 512
      
      of order 68
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

15. Skew morphsim class of size 1024
      
      of order 136
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129 ]
      and with periodicity 8
      and with complexity 3
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

16. Skew morphsim class of size 2048
      
      of order 272
      with kernel of order 34
      and smallest kernel generator 17
      and power function values [ 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 257 ]
      and with periodicity 16
      and with complexity 3
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    

17. Skew morphsim class of size 4352
      
      of order 289
      with kernel of order 17
      and smallest kernel generator 34
      and power function values [ 1, 16, 273, 33, 256, 50, 239, 67, 222, 84, 205, 101, 188, 118, 171, 135, 154, 152, 137, 169, 120, 186, 103, 203, 86, 220, 69, 237, 52, 254, 35, 271, 18, 288 ]
      and with periodicity 17
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>