Number of selected skew morphism classes of C627 is 0
Total number of skew morphisms of C627 is 720
Total number of skew morphism classes of C627 is 52
Total number of automorphisms of C627 is 360

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 627
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 627
     φ | √φ | φ' | φ|<627>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 627
     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 627
     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 4
     
     of order 5
     with kernel of order 627
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 5
     φ | √φ | φ' | φ5
   
   

5. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 627
     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
   
   

6. Skew morphsim class of size 6
     
     of order 9
     with kernel of order 627
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 9
     φ | √φ | φ' | φ9
   
   

7. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 627
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 10
     φ | √φ | φ' | φ10
   
   

8. Skew morphsim class of size 8
     
     of order 15
     with kernel of order 627
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 15
     φ | √φ | φ' | φ15
   
   

9. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 627
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 18
     φ | √φ | φ' | φ18
   
   

10. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

11. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 45
      φ | √φ | φ' | φ45
    
    

12. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 627
      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
    
    

14. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 627
      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 4
      
      of order 10
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

16. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

17. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

18. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

19. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 627
      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
    
    

20. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 627
      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
    
    

21. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

22. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

23. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

24. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 627
      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
    
    

26. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 627
      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
    
    

27. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

28. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

29. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

30. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

31. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 627
      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
    
    

32. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 627
      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
    
    

33. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

34. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

35. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

36. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

37. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 627
      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
    
    

38. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 627
      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
    
    

39. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

40. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

41. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

42. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

43. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 627
      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
    
    

44. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 627
      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
    
    

45. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

46. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

47. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

48. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 627
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

49. Skew morphsim class of size 36
      
      of order 19
      with kernel of order 209
      and smallest kernel generator 3
      and power function values [ 1, 7, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

50. Skew morphsim class of size 36
      
      of order 38
      with kernel of order 209
      and smallest kernel generator 3
      and power function values [ 1, 7, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

51. Skew morphsim class of size 144
      
      of order 95
      with kernel of order 209
      and smallest kernel generator 3
      and power function values [ 1, 11, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

52. Skew morphsim class of size 144
      
      of order 190
      with kernel of order 209
      and smallest kernel generator 3
      and power function values [ 1, 11, 121 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>