Number of selected skew morphism classes of C180 is 0
Total number of skew morphisms of C180 is 720
Total number of skew morphism classes of C180 is 72
Total number of automorphisms of C180 is 48

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 180
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 180
     φ | √φ | φ' | φ|<180>
   
   

2. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 180
     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
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 180
     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
   
   

4. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 180
     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 180
     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 180
     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 180
     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 4
     with kernel of order 180
     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
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 180
     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 6
      with kernel of order 180
      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 180
      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 6
      with kernel of order 180
      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
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 180
      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 180
      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 2
      
      of order 4
      with kernel of order 180
      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
    
    

16. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 180
      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
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 180
      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 180
      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 1
      
      of order 2
      with kernel of order 180
      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
    
    

20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 180
      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
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 180
      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
    
    

22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 180
      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
    
    

23. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 180
      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 2
      
      of order 6
      with kernel of order 180
      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 90
      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 4
      
      of order 5
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

27. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 90
      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>
    
    

28. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 90
      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>
    
    

29. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

30. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 14 ]
      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 90
      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 8
      
      of order 30
      with kernel of order 90
      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>
    
    

33. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 44 ]
      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 90
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 90
      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>
    
    

36. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 90
      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 90
      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 6
      
      of order 18
      with kernel of order 90
      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>
    
    

39. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

44. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 90
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

45. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 90
      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>
    
    

46. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 90
      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>
    
    

47. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 90
      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>
    
    

48. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 90
      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>
    
    

49. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 45
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

50. Skew morphsim class of size 16
      
      of order 15
      with kernel of order 45
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

51. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 45
      and smallest kernel generator 4
      and power function values [ 1, 8, 19, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

52. Skew morphsim class of size 16
      
      of order 15
      with kernel of order 45
      and smallest kernel generator 4
      and power function values [ 1, 7, 4, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

53. Skew morphsim class of size 8
      
      of order 10
      with kernel of order 45
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

54. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 45
      and smallest kernel generator 4
      and power function values [ 1, 7, 19, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

55. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 60
      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
    
    

56. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 60
      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
    
    

57. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 60
      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
    
    

58. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 60
      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
    
    

59. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 60
      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
    
    

60. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 60
      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
    
    

61. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 9, 11, 19, 21, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

62. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 9, 11, 19, 21, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

63. Skew morphsim class of size 32
      
      of order 30
      with kernel of order 15
      and smallest kernel generator 12
      and power function values [ 1, 3, 29, 7, 21, 23, 19, 27, 11, 13, 9, 17 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

64. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 30
      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>
    
    

65. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 30
      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>
    
    

66. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 14, 31, 29, 16, 44 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

67. Skew morphsim class of size 96
      
      of order 45
      with kernel of order 15
      and smallest kernel generator 12
      and power function values [ 1, 8, 4, 32, 16, 38, 19, 17, 31, 23, 34, 2 ]
      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 90
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 29, 61, 59, 31, 89 ]
      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 30
      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 12
      
      of order 18
      with kernel of order 30
      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>
    
    

71. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 30
      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>
    
    

72. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 30
      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>