Number of selected skew morphism classes of C424 is 0
Total number of skew morphisms of C424 is 780
Total number of skew morphism classes of C424 is 35
Total number of automorphisms of C424 is 208

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 424
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 424
     φ | √φ | φ' | φ|<424>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 424
     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 424
     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 12
     
     of order 13
     with kernel of order 424
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 13
     φ | √φ | φ' | φ13
   
   

5. Skew morphsim class of size 12
     
     of order 26
     with kernel of order 424
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 26
     φ | √φ | φ' | φ26
   
   

6. Skew morphsim class of size 24
     
     of order 52
     with kernel of order 424
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 52
     φ | √φ | φ' | φ52
   
   

7. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 424
     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
   
   

8. Skew morphsim class of size 24
     
     of order 52
     with kernel of order 424
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 52
     φ | √φ | φ' | φ52
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 424
     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
   
   

10. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

11. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 424
      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
    
    

12. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 424
      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
    
    

14. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 52
      φ | √φ | φ' | φ52
    
    

15. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 424
      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
    
    

16. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 424
      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
    
    

18. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

19. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 424
      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
    
    

20. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 52
      φ | √φ | φ' | φ52
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 424
      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
    
    

22. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

23. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 424
      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
    
    

24. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 424
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

25. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

26. Skew morphsim class of size 52
      
      of order 53
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 52 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

27. Skew morphsim class of size 52
      
      of order 106
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 105 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

28. Skew morphsim class of size 104
      
      of order 212
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 211 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

29. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

30. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 52
      
      of order 106
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 105 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 52
      
      of order 106
      with kernel of order 212
      and smallest kernel generator 2
      and power function values [ 1, 105 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 104
      
      of order 53
      with kernel of order 106
      and smallest kernel generator 4
      and power function values [ 1, 23, 52, 30 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

35. Skew morphsim class of size 104
      
      of order 106
      with kernel of order 106
      and smallest kernel generator 4
      and power function values [ 1, 23, 105, 83 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>