Number of selected skew morphism classes of C558 is 0
Total number of skew morphisms of C558 is 1920
Total number of skew morphism classes of C558 is 70
Total number of automorphisms of C558 is 180

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 558
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 558
     φ | √φ | φ' | φ|<558>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 558
     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 558
     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 558
     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 558
     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 10
     with kernel of order 558
     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
   
   

7. Skew morphsim class of size 8
     
     of order 15
     with kernel of order 558
     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
   
   

8. Skew morphsim class of size 8
     
     of order 30
     with kernel of order 558
     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
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 558
     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
   
   

10. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 558
      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
    
    

11. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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
    
    

12. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 558
      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
    
    

13. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 558
      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
    
    

14. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 558
      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
    
    

15. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 558
      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
    
    

16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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 8
      
      of order 15
      with kernel of order 558
      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
    
    

18. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 558
      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
    
    

19. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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 8
      
      of order 30
      with kernel of order 558
      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
    
    

21. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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 8
      
      of order 30
      with kernel of order 558
      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
    
    

23. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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
    
    

24. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 558
      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
    
    

25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 558
      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 558
      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 558
      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 8
      
      of order 30
      with kernel of order 558
      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
    
    

29. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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 8
      
      of order 30
      with kernel of order 558
      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
    
    

31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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 8
      
      of order 30
      with kernel of order 558
      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
    
    

33. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 558
      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
    
    

34. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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
    
    

35. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 558
      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
    
    

36. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 558
      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
    
    

37. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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
    
    

38. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 558
      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
    
    

39. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 558
      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
    
    

40. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 558
      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
    
    

41. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 279
      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>
    
    

42. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 279
      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>
    
    

43. Skew morphsim class of size 30
      
      of order 31
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 30 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

44. Skew morphsim class of size 60
      
      of order 93
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 92 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

45. Skew morphsim class of size 180
      
      of order 279
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 278 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

46. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

47. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

48. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 279
      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>
    
    

49. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 279
      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>
    
    

50. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

51. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 279
      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>
    
    

52. Skew morphsim class of size 30
      
      of order 62
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

53. Skew morphsim class of size 60
      
      of order 93
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

54. Skew morphsim class of size 60
      
      of order 186
      with kernel of order 279
      and smallest kernel generator 2
      and power function values [ 1, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

55. Skew morphsim class of size 60
      
      of order 31
      with kernel of order 186
      and smallest kernel generator 3
      and power function values [ 1, 5, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

56. Skew morphsim class of size 120
      
      of order 93
      with kernel of order 186
      and smallest kernel generator 3
      and power function values [ 1, 25, 67 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

57. Skew morphsim class of size 60
      
      of order 31
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 6, 5, 30, 25, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

58. Skew morphsim class of size 120
      
      of order 93
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 5, 25, 32, 67, 56 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

59. Skew morphsim class of size 120
      
      of order 93
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 26, 25, 92, 67, 68 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

60. Skew morphsim class of size 120
      
      of order 93
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 37, 67, 61, 25, 88 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

61. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 186
      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
    
    

62. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 186
      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
    
    

63. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 186
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

64. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 186
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

65. Skew morphsim class of size 120
      
      of order 186
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 123, 125, 61, 63, 185 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

66. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 93
      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>
    
    

67. Skew morphsim class of size 360
      
      of order 279
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 92, 187, 185, 94, 278 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 11, 16, 41, 31, 26 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

69. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 93
      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>
    
    

70. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 93
      and smallest kernel generator 6
      and power function values [ 1, 11, 61, 41, 31, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>