Number of selected skew morphism classes of C553 is 0
Total number of skew morphisms of C553 is 468
Total number of skew morphism classes of C553 is 40
Total number of automorphisms of C553 is 468

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 553
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 553
     φ | √φ | φ' | φ|<553>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 553
     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 3
     with kernel of order 553
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 3
     φ | √φ | φ' | φ3
   
   

4. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 553
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 6
     φ | √φ | φ' | φ6
   
   

5. Skew morphsim class of size 12
     
     of order 13
     with kernel of order 553
     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
   
   

6. Skew morphsim class of size 12
     
     of order 26
     with kernel of order 553
     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
   
   

7. Skew morphsim class of size 24
     
     of order 39
     with kernel of order 553
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 39
     φ | √φ | φ' | φ39
   
   

8. Skew morphsim class of size 24
     
     of order 78
     with kernel of order 553
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 78
     φ | √φ | φ' | φ78
   
   

9. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 553
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 3
     φ | √φ | φ' | φ3
   
   

10. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

11. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 39
      φ | √φ | φ' | φ39
    
    

12. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

13. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

14. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

15. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 39
      φ | √φ | φ' | φ39
    
    

16. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

17. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

18. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

19. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 39
      φ | √φ | φ' | φ39
    
    

20. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 553
      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 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

23. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 553
      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
    
    

24. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

25. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

26. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

27. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 553
      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
    
    

28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

29. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 553
      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
    
    

30. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

32. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

34. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

35. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

36. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

37. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

38. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

39. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

40. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 553
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78