Number of selected skew morphism classes of C522 is 0
Total number of skew morphisms of C522 is 1680
Total number of skew morphism classes of C522 is 56
Total number of automorphisms of C522 is 168

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 522
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 522
     φ | √φ | φ' | φ|<522>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 522
     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 522
     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 522
     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 522
     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 7
     with kernel of order 522
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 7
     φ | √φ | φ' | φ7
   
   

7. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 522
     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
   
   

8. Skew morphsim class of size 6
     
     of order 14
     with kernel of order 522
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 14
     φ | √φ | φ' | φ14
   
   

9. Skew morphsim class of size 12
     
     of order 21
     with kernel of order 522
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 21
     φ | √φ | φ' | φ21
   
   

10. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

11. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

12. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 522
      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 522
      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 6
      
      of order 14
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

16. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 522
      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 522
      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 6
      
      of order 14
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

20. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 522
      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 522
      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 12
      
      of order 28
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

24. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 522
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    

25. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 261
      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>
    
    

26. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 261
      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>
    
    

27. Skew morphsim class of size 28
      
      of order 29
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 28 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

28. Skew morphsim class of size 56
      
      of order 87
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 86 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

29. Skew morphsim class of size 168
      
      of order 261
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 260 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

30. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 261
      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>
    
    

31. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 261
      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>
    
    

32. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 261
      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 36
      
      of order 63
      with kernel of order 261
      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>
    
    

34. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 36
      
      of order 126
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 261
      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 12
      
      of order 36
      with kernel of order 261
      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 24
      
      of order 84
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 72
      
      of order 252
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 197 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 56
      
      of order 87
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 28 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 261
      and smallest kernel generator 2
      and power function values [ 1, 115 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 174
      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
    
    

44. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 174
      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 8
      
      of order 12
      with kernel of order 174
      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
    
    

46. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 174
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

47. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 174
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

48. Skew morphsim class of size 48
      
      of order 84
      with kernel of order 174
      and smallest kernel generator 3
      and power function values [ 1, 29, 57 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

49. Skew morphsim class of size 112
      
      of order 174
      with kernel of order 87
      and smallest kernel generator 6
      and power function values [ 1, 57, 59, 115, 117, 173 ]
      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 9
      with kernel of order 87
      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>
    
    

51. Skew morphsim class of size 336
      
      of order 261
      with kernel of order 87
      and smallest kernel generator 6
      and power function values [ 1, 86, 175, 173, 88, 260 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

52. Skew morphsim class of size 72
      
      of order 63
      with kernel of order 87
      and smallest kernel generator 6
      and power function values [ 1, 29, 43, 50, 22, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

53. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 87
      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>
    
    

54. Skew morphsim class of size 72
      
      of order 126
      with kernel of order 87
      and smallest kernel generator 6
      and power function values [ 1, 29, 43, 113, 85, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

55. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 87
      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>
    
    

56. Skew morphsim class of size 144
      
      of order 252
      with kernel of order 87
      and smallest kernel generator 6
      and power function values [ 1, 29, 169, 113, 85, 197 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>