Number of selected skew morphism classes of C270 is 0
Total number of skew morphisms of C270 is 2112
Total number of skew morphism classes of C270 is 64
Total number of automorphisms of C270 is 72

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 270
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 270
     φ | √φ | φ' | φ|<270>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 270
     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 270
     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 270
     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 270
     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 270
     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 270
     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 270
     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 2
     
     of order 6
     with kernel of order 270
     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
   
   

10. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 270
      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
    
    

11. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 270
      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 12
      
      of order 36
      with kernel of order 270
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 270
      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 270
      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 18
      with kernel of order 270
      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
    
    

16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 270
      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
    
    

17. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 270
      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
    
    

18. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 270
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    

19. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 135
      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>
    
    

20. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 135
      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>
    
    

21. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 135
      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>
    
    

22. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 135
      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>
    
    

23. Skew morphsim class of size 18
      
      of order 27
      with kernel of order 135
      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>
    
    

24. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 135
      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>
    
    

25. Skew morphsim class of size 72
      
      of order 135
      with kernel of order 135
      and smallest kernel generator 2
      and power function values [ 1, 134 ]
      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 6
      with kernel of order 135
      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>
    
    

27. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 135
      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>
    
    

28. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 135
      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>
    
    

29. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 135
      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>
    
    

30. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 135
      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 36
      
      of order 108
      with kernel of order 135
      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>
    
    

32. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 135
      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>
    
    

33. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 135
      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>
    
    

34. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 135
      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>
    
    

35. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 135
      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>
    
    

36. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 135
      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 12
      
      of order 9
      with kernel of order 90
      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>
    
    

38. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 90
      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>
    
    

39. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 90
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

40. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 45
      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>
    
    

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

42. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 45
      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>
    
    

43. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 45
      and smallest kernel generator 6
      and power function values [ 1, 5, 25, 17, 13, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

44. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 45
      and smallest kernel generator 6
      and power function values [ 1, 4, 16, 19, 31, 34 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

45. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 90
      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
    
    

46. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 90
      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
    
    

47. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 90
      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
    
    

48. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 90
      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
    
    

49. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 90
      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
    
    

50. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 45
      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
    
    

51. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 90
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

52. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 45
      and smallest kernel generator 6
      and power function values [ 1, 49, 61, 19, 31, 79 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

53. Skew morphsim class of size 36
      
      of order 27
      with kernel of order 45
      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>
    
    

54. Skew morphsim class of size 144
      
      of order 135
      with kernel of order 45
      and smallest kernel generator 6
      and power function values [ 1, 44, 91, 89, 46, 134 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

55. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 45
      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>
    
    

56. Skew morphsim class of size 72
      
      of order 108
      with kernel of order 45
      and smallest kernel generator 6
      and power function values [ 1, 17, 37, 89, 73, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

57. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 30
      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
    
    

58. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 30
      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
    
    

59. Skew morphsim class of size 72
      
      of order 36
      with kernel of order 30
      and smallest kernel generator 9
      and power function values [ 1, 9, 5, 25, 33, 29, 13, 21, 17 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

60. Skew morphsim class of size 144
      
      of order 90
      with kernel of order 15
      and smallest kernel generator 18
      and power function values [ 1, 9, 11, 79, 51, 89, 31, 39, 41, 19, 81, 29, 61, 69, 71, 49, 21, 59 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

61. Skew morphsim class of size 108
      
      of order 27
      with kernel of order 15
      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>
    
    

62. Skew morphsim class of size 432
      
      of order 135
      with kernel of order 15
      and smallest kernel generator 18
      and power function values [ 1, 29, 16, 14, 121, 44, 46, 119, 61, 104, 31, 134, 91, 74, 106, 59, 76, 89 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

63. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 15
      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>
    
    

64. Skew morphsim class of size 216
      
      of order 108
      with kernel of order 15
      and smallest kernel generator 18
      and power function values [ 1, 29, 97, 41, 13, 17, 73, 65, 61, 77, 85, 53, 37, 101, 25, 5, 49, 89 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>