Number of selected skew morphism classes of C216 is 0
Total number of skew morphisms of C216 is 1584
Total number of skew morphism classes of C216 is 80
Total number of automorphisms of C216 is 72

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 216
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 216
     φ | √φ | φ' | φ|<216>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 216
     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 216
     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 6
     with kernel of order 216
     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
   
   

5. Skew morphsim class of size 6
     
     of order 9
     with kernel of order 216
     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
   
   

6. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 216
     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
   
   

7. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 216
     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 6
     with kernel of order 216
     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
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 216
     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 216
      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 6
      
      of order 18
      with kernel of order 216
      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 6
      
      of order 18
      with kernel of order 216
      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
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 216
      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 216
      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 1
      
      of order 2
      with kernel of order 216
      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
    
    

16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 216
      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 6
      
      of order 18
      with kernel of order 216
      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
    
    

18. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 216
      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
    
    

19. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 216
      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 6
      with kernel of order 216
      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
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 216
      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 216
      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 6
      
      of order 18
      with kernel of order 216
      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
    
    

24. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 216
      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
    
    

25. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 108
      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 2
      
      of order 4
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      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 108
      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 108
      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 12
      with kernel of order 108
      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>
    
    

30. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 108
      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>
    
    

31. Skew morphsim class of size 18
      
      of order 27
      with kernel of order 108
      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>
    
    

32. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 35 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 36
      
      of order 108
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 107 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 108
      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>
    
    

37. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 108
      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>
    
    

40. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 108
      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>
    
    

41. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 108
      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>
    
    

42. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 108
      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>
    
    

43. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 108
      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>
    
    

44. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

45. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 108
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

46. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 72
      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>
    
    

47. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 72
      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>
    
    

48. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 72
      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>
    
    

49. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 72
      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>
    
    

50. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 2, 4, 8, 7, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

51. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 5, 7, 17, 13, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

52. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 11, 13, 35, 25, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

53. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 7, 13, 19, 25, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

54. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 5, 7, 17, 13, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

55. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 5, 7, 17, 13, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

56. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 72
      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 72
      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 72
      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 4
      
      of order 6
      with kernel of order 72
      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
    
    

60. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 3, 5, 7, 9, 11 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

61. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 72
      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
    
    

62. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 72
      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
    
    

63. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 72
      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
    
    

64. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 72
      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
    
    

65. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 7, 13, 19, 25, 31 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

66. Skew morphsim class of size 36
      
      of order 27
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 8, 19, 17, 10, 26 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

67. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 17, 37, 35, 19, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 72
      
      of order 108
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 35, 73, 71, 37, 107 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

69. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 17, 37, 35, 19, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

70. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 36
      and smallest kernel generator 6
      and power function values [ 1, 17, 37, 35, 19, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

71. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 24
      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
    
    

72. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 24
      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
    
    

73. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 24
      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
    
    

74. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 24
      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
    
    

75. Skew morphsim class of size 72
      
      of order 36
      with kernel of order 12
      and smallest kernel generator 18
      and power function values [ 1, 3, 17, 7, 9, 23, 13, 15, 29, 19, 21, 35, 25, 27, 5, 31, 33, 11 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

76. Skew morphsim class of size 108
      
      of order 27
      with kernel of order 12
      and smallest kernel generator 18
      and power function values [ 1, 2, 16, 14, 13, 17, 19, 11, 7, 23, 4, 26, 10, 20, 25, 5, 22, 8 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

77. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 12
      and smallest kernel generator 18
      and power function values [ 1, 11, 7, 5, 49, 17, 19, 47, 25, 41, 13, 53, 37, 29, 43, 23, 31, 35 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

78. Skew morphsim class of size 216
      
      of order 108
      with kernel of order 12
      and smallest kernel generator 18
      and power function values [ 1, 11, 61, 59, 49, 71, 73, 47, 25, 95, 13, 107, 37, 83, 97, 23, 85, 35 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

79. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 12
      and smallest kernel generator 18
      and power function values [ 1, 11, 7, 5, 49, 17, 19, 47, 25, 41, 13, 53, 37, 29, 43, 23, 31, 35 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

80. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 12
      and smallest kernel generator 18
      and power function values [ 1, 11, 7, 5, 49, 17, 19, 47, 25, 41, 13, 53, 37, 29, 43, 23, 31, 35 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>