Number of selected skew morphism classes of C_72 is 0
Total number of skew morphisms of C_72 is 180
Total number of skew morphism classes of C_72 is 40
Total number of automorphisms of C_72 is 24

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 2 #
     
     of order 3 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 2 #
     
     of order 6 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 2 #
     
     of order 6 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 2 #
     
     of order 6 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 72
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 72
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 72
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 72
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 72
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 72
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 72
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 72
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 2 #
      
      of order 3 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 2 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 3 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 6 #
      
      of order 9 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 8 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 11 ] #
      and with periodicity 1
    
    

22. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 12 #
      
      of order 36 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 35 ] #
      and with periodicity 1
    
    

24. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 7 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 3 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 7 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

28. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

29. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

30. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 36
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

31. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 24
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

32. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 24
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

33. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 24
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

34. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 24
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

35. Skew morphsim class of size 8 #
      
      of order 12 √
      with kernel of order 12
      and smallest kernel generator 6
      and power function values [ 1, 11, 9, 7, 5, 3 ] #
      and with periodicity 2
    
    

36. Skew morphsim class of size 12 #
      
      of order 9 √
      with kernel of order 12
      and smallest kernel generator 6
      and power function values [ 1, 5, 4, 2, 7, 8 ] #
      and with periodicity 3
    
    

37. Skew morphsim class of size 12 #
      
      of order 18 √
      with kernel of order 12
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ] #
      and with periodicity 3
    
    

38. Skew morphsim class of size 12 #
      
      of order 18 √
      with kernel of order 12
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ] #
      and with periodicity 3
    
    

39. Skew morphsim class of size 12 #
      
      of order 18 √
      with kernel of order 12
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ] #
      and with periodicity 3
    
    

40. Skew morphsim class of size 24 #
      
      of order 36 √
      with kernel of order 12
      and smallest kernel generator 6
      and power function values [ 1, 23, 13, 11, 25, 35 ] #
      and with periodicity 3