Number of selected skew morphism classes of C234 is 0
Total number of skew morphisms of C234 is 768
Total number of skew morphism classes of C234 is 56
Total number of automorphisms of C234 is 72

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 234
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 234
     φ | √φ | φ' | φ|<234>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 234
     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 234
     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 4
     with kernel of order 234
     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
   
   

5. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 234
     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 4
     
     of order 12
     with kernel of order 234
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 12
     φ | √φ | φ' | φ12
   
   

7. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 234
     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
   
   

8. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 234
     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
   
   

9. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 234
     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
   
   

10. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 234
      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 4
      
      of order 12
      with kernel of order 234
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

12. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 234
      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
    
    

13. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 234
      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 4
      
      of order 12
      with kernel of order 234
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

15. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 234
      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
    
    

16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 234
      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
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 234
      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
    
    

18. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 234
      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 2
      
      of order 6
      with kernel of order 234
      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 2
      
      of order 6
      with kernel of order 234
      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 2
      
      of order 4
      with kernel of order 234
      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
    
    

22. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 234
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

23. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 234
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

24. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 234
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

25. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 234
      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 234
      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 234
      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 4
      
      of order 12
      with kernel of order 234
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

29. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 234
      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 4
      
      of order 12
      with kernel of order 234
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

31. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 2 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 12
      
      of order 13
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 12 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 38 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 72
      
      of order 117
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 116 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

37. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      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 12
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 117
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 78
      and smallest kernel generator 3
      and power function values [ 1, 3, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

44. Skew morphsim class of size 48
      
      of order 39
      with kernel of order 78
      and smallest kernel generator 3
      and power function values [ 1, 16, 22 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

45. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 4, 3, 12, 9, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

46. Skew morphsim class of size 48
      
      of order 39
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 4, 16, 25, 22, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

47. Skew morphsim class of size 48
      
      of order 39
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 17, 16, 38, 22, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

48. Skew morphsim class of size 48
      
      of order 39
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 29, 22, 14, 16, 35 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

49. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 78
      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
    
    

50. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 78
      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
    
    

51. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 78
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

52. Skew morphsim class of size 48
      
      of order 78
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 51, 53, 25, 27, 77 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

53. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 2, 7, 5, 4, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

54. Skew morphsim class of size 144
      
      of order 117
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 38, 79, 77, 40, 116 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

55. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

56. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 39
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 29, 25, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>