Number of selected skew morphism classes of C459 is 0
Total number of skew morphisms of C459 is 1312
Total number of skew morphism classes of C459 is 50
Total number of automorphisms of C459 is 288

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 459
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 459
     φ | √φ | φ' | φ|<459>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 459
     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 459
     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 4
     
     of order 8
     with kernel of order 459
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 8
     φ | √φ | φ' | φ8
   
   

5. Skew morphsim class of size 8
     
     of order 16
     with kernel of order 459
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 16
     φ | √φ | φ' | φ16
   
   

6. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 459
     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 459
     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 459
     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 4
     
     of order 12
     with kernel of order 459
     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
   
   

10. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    

11. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 459
      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 8
      
      of order 24
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    

13. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    

14. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    

15. Skew morphsim class of size 24
      
      of order 72
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 72
      φ | √φ | φ' | φ72
    
    

16. Skew morphsim class of size 48
      
      of order 144
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 144
      φ | √φ | φ' | φ144
    
    

17. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 459
      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 4
      
      of order 12
      with kernel of order 459
      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
    
    

19. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    

20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 459
      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 6
      with kernel of order 459
      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
    
    

22. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 459
      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 4
      
      of order 8
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

24. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    

25. Skew morphsim class of size 24
      
      of order 72
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 72
      φ | √φ | φ' | φ72
    
    

26. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 459
      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
    
    

27. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 459
      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 6
      
      of order 18
      with kernel of order 459
      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 16
      
      of order 48
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    

30. Skew morphsim class of size 48
      
      of order 144
      with kernel of order 459
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 144
      φ | √φ | φ' | φ144
    
    

31. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 153
      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>
    
    

32. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 153
      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>
    
    

33. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

34. Skew morphsim class of size 48
      
      of order 72
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 25, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

35. Skew morphsim class of size 96
      
      of order 144
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 49, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

36. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 153
      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
    
    

37. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 153
      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
    
    

38. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 153
      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
    
    

39. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 153
      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
    
    

40. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 153
      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
    
    

41. Skew morphsim class of size 16
      
      of order 24
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 9, 17 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

42. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

43. Skew morphsim class of size 32
      
      of order 48
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 17, 33 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

44. Skew morphsim class of size 48
      
      of order 72
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 25, 49 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

45. Skew morphsim class of size 96
      
      of order 144
      with kernel of order 153
      and smallest kernel generator 3
      and power function values [ 1, 49, 97 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

46. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 51
      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
    
    

47. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 51
      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
    
    

48. Skew morphsim class of size 72
      
      of order 36
      with kernel of order 51
      and smallest kernel generator 9
      and power function values [ 1, 9, 5, 25, 33, 29, 13, 21, 17 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

49. Skew morphsim class of size 144
      
      of order 72
      with kernel of order 51
      and smallest kernel generator 9
      and power function values [ 1, 9, 41, 25, 33, 65, 49, 57, 17 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

50. Skew morphsim class of size 288
      
      of order 144
      with kernel of order 51
      and smallest kernel generator 9
      and power function values [ 1, 33, 17, 97, 129, 113, 49, 81, 65 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2