Number of selected skew morphism classes of C189 is 0
Total number of skew morphisms of C189 is 584
Total number of skew morphism classes of C189 is 53
Total number of automorphisms of C189 is 108

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 189
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 189
     φ | √φ | φ' | φ|<189>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 189
     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 189
     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 189
     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 1
     
     of order 2
     with kernel of order 189
     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
   
   

6. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 189
     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
   
   

7. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 189
     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
   
   

8. Skew morphsim class of size 6
     
     of order 9
     with kernel of order 189
     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
   
   

9. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 189
     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 6
      
      of order 9
      with kernel of order 189
      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
    
    

11. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 189
      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
    
    

12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 189
      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
    
    

13. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 189
      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
    
    

14. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 189
      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
    
    

15. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 189
      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
    
    

16. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 189
      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 6
      
      of order 18
      with kernel of order 189
      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
    
    

18. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 189
      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
    
    

19. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 189
      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
    
    

20. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 189
      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
    
    

21. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 189
      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
    
    

22. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 189
      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 2
      
      of order 3
      with kernel of order 189
      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
    
    

24. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 189
      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
    
    

25. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 189
      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
    
    

26. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 189
      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 2
      
      of order 6
      with kernel of order 189
      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
    
    

28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 189
      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 2
      
      of order 6
      with kernel of order 189
      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
    
    

30. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 189
      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
    
    

31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 189
      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 2
      
      of order 6
      with kernel of order 189
      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 12
      
      of order 7
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 2, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

34. Skew morphsim class of size 24
      
      of order 21
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 4, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

35. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

36. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

37. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

38. Skew morphsim class of size 72
      
      of order 63
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 4, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

39. Skew morphsim class of size 72
      
      of order 63
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 37, 46 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

40. Skew morphsim class of size 72
      
      of order 63
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 25, 58 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

41. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

42. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

43. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

44. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

45. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

46. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

47. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

48. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

49. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

50. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

51. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 63
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

52. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 21
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

53. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 21
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2