Number of selected skew morphism classes of C_180 is 0
Total number of skew morphisms of C_180 is 720
Total number of skew morphism classes of C_180 is 72
Total number of automorphisms of C_180 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
   
   

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
   
   

3. 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
   
   

4. 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
   
   

5. 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
   
   

6. 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
   
   

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
   
   

8. 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
   
   

9. 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
   
   

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
    
    

11. 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
    
    

12. 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
    
    

13. 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
    
    

14. 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
    
    

15. 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
    
    

16. 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
    
    

17. 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
    
    

18. 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
    
    

19. 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
    
    

20. 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
    
    

21. 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
    
    

22. 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
    
    

23. 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
    
    

24. 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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

35. 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
    
    

36. 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
    
    

37. 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
    
    

38. 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
    
    

39. 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
    
    

40. 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
    
    

41. 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
    
    

42. 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
    
    

43. 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
    
    

44. 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
    
    

45. 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
    
    

46. 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
    
    

47. 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
    
    

48. 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
    
    

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
    
    

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
    
    

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
    
    

52. 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
    
    

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
    
    

54. 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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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
    
    

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, 27, 29, 13, 21, 17, 19, 3, 11, 7, 9, 23 ] #
      and with periodicity 2
    
    

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, 5, 4, 2, 7, 8 ] #
      and with periodicity 3
    
    

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
    
    

66. Skew morphsim class of size 12 #
      
      of order 18 √
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 17, 7, 11, 13, 5 ] #
      and with periodicity 3
    
    

67. Skew morphsim class of size 12 #
      
      of order 18 √
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 17, 7, 11, 13, 5 ] #
      and with periodicity 3
    
    

68. Skew morphsim class of size 24 #
      
      of order 36 √
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 17, 25, 29, 13, 5 ] #
      and with periodicity 3
    
    

69. Skew morphsim class of size 24 #
      
      of order 36 √
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 17, 25, 29, 13, 5 ] #
      and with periodicity 3
    
    

70. Skew morphsim class of size 48 #
      
      of order 45 √
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 44, 16, 29, 31, 14 ] #
      and with periodicity 3
    
    

71. Skew morphsim class of size 96 #
      
      of order 45 √
      with kernel of order 15
      and smallest kernel generator 12
      and power function values [ 1, 17, 34, 38, 31, 32, 19, 8, 16, 2, 4, 23 ] #
      and with periodicity 3
    
    

72. Skew morphsim class of size 48 #
      
      of order 90 √
      with kernel of order 30
      and smallest kernel generator 6
      and power function values [ 1, 89, 61, 29, 31, 59 ] #
      and with periodicity 3