Number of selected skew morphism classes of C80 is 0
Total number of skew morphisms of C80 is 184
Total number of skew morphism classes of C80 is 42
Total number of automorphisms of C80 is 32

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 80
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 80
     φ | √φ | φ' | φ|<80>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 80
     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 80
     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 1
     
     of order 2
     with kernel of order 80
     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
   
   

5. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 80
     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
   
   

6. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 80
     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
   
   

7. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 80
     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 2
     
     of order 4
     with kernel of order 80
     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
   
   

9. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 80
     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
   
   

10. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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
    
    

11. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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
    
    

12. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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
    
    

13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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 1
      
      of order 2
      with kernel of order 80
      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
    
    

15. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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
    
    

16. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 80
      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
    
    

17. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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
    
    

18. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 80
      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
    
    

19. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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 1
      
      of order 2
      with kernel of order 80
      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
    
    

21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 40
      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>
    
    

22. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

23. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

24. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

25. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

26. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 39 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

27. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 40
      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>
    
    

28. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      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 40
      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 8
      
      of order 20
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 40
      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>
    
    

33. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 39 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

37. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 40
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 20
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

40. Skew morphsim class of size 8
      
      of order 10
      with kernel of order 20
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

41. Skew morphsim class of size 16
      
      of order 20
      with kernel of order 20
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

42. Skew morphsim class of size 16
      
      of order 20
      with kernel of order 20
      and smallest kernel generator 4
      and power function values [ 1, 13, 9, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>