Number of selected skew morphism classes of C675 is 0
Total number of skew morphisms of C675 is 5576
Total number of skew morphism classes of C675 is 80
Total number of automorphisms of C675 is 360

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 675
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 675
     φ | √φ | φ' | φ|<675>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 675
     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 4
     with kernel of order 675
     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
   
   

4. Skew morphsim class of size 4
     
     of order 5
     with kernel of order 675
     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 4
     
     of order 10
     with kernel of order 675
     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
   
   

6. Skew morphsim class of size 8
     
     of order 20
     with kernel of order 675
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 20
     φ | √φ | φ' | φ20
   
   

7. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 675
     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
   
   

8. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 675
     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 675
     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 6
      
      of order 9
      with kernel of order 675
      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
    
    

11. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 675
      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 8
      
      of order 15
      with kernel of order 675
      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
    
    

13. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 675
      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
    
    

14. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    

15. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 675
      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
    
    

16. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 675
      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
    
    

17. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 45
      φ | √φ | φ' | φ45
    
    

18. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    

19. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

20. Skew morphsim class of size 48
      
      of order 180
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 180
      φ | √φ | φ' | φ180
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 675
      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 675
      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 10
      with kernel of order 675
      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
    
    

24. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 675
      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 8
      
      of order 30
      with kernel of order 675
      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
    
    

26. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

27. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 675
      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
    
    

28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 675
      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
    
    

29. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 675
      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
    
    

30. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 675
      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
    
    

31. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 675
      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
    
    

32. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    

33. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 675
      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
    
    

34. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 675
      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
    
    

35. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    

36. Skew morphsim class of size 48
      
      of order 180
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 180
      φ | √φ | φ' | φ180
    
    

37. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 225
      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 48
      
      of order 45
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 16, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

39. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 225
      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>
    
    

40. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

41. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 225
      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>
    
    

42. Skew morphsim class of size 96
      
      of order 180
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 61, 121 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

43. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 225
      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
    
    

44. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 225
      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
    
    

45. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

46. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ]
      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 225
      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 225
      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 225
      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 32
      
      of order 20
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

51. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

52. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 225
      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
    
    

53. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 225
      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
    
    

54. Skew morphsim class of size 32
      
      of order 30
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

55. Skew morphsim class of size 32
      
      of order 30
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

56. Skew morphsim class of size 64
      
      of order 30
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

57. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 225
      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
    
    

58. Skew morphsim class of size 32
      
      of order 60
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 21, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

59. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

60. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

61. Skew morphsim class of size 128
      
      of order 60
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

62. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

63. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

64. Skew morphsim class of size 96
      
      of order 90
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 19, 37, 55, 73 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

65. Skew morphsim class of size 96
      
      of order 90
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 19, 37, 55, 73 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

66. Skew morphsim class of size 192
      
      of order 90
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

67. Skew morphsim class of size 192
      
      of order 90
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

68. Skew morphsim class of size 96
      
      of order 180
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 61, 121 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

69. Skew morphsim class of size 192
      
      of order 180
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 37, 73, 109, 145 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

70. Skew morphsim class of size 192
      
      of order 180
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 37, 73, 109, 145 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

71. Skew morphsim class of size 384
      
      of order 180
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 157, 169 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

72. Skew morphsim class of size 384
      
      of order 180
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145, 157, 169 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

73. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 75
      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 75
      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 75
      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
    
    

76. Skew morphsim class of size 144
      
      of order 90
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 21, 11, 61, 81, 71, 31, 51, 41 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

77. Skew morphsim class of size 144
      
      of order 90
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 21, 11, 61, 81, 71, 31, 51, 41 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

78. Skew morphsim class of size 576
      
      of order 90
      with kernel of order 15
      and smallest kernel generator 45
      and power function values [ 1, 3, 35, 7, 9, 41, 13, 15, 47, 19, 21, 53, 25, 27, 59, 31, 33, 65, 37, 39, 71, 43, 45, 77, 49, 51, 83, 55, 57, 89, 61, 63, 5, 67, 69, 11, 73, 75, 17, 79, 81, 23, 85, 87, 29 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

79. Skew morphsim class of size 288
      
      of order 180
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 21, 101, 61, 81, 161, 121, 141, 41 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

80. Skew morphsim class of size 1152
      
      of order 180
      with kernel of order 15
      and smallest kernel generator 45
      and power function values [ 1, 5, 129, 13, 17, 141, 25, 29, 153, 37, 41, 165, 49, 53, 177, 61, 65, 9, 73, 77, 21, 85, 89, 33, 97, 101, 45, 109, 113, 57, 121, 125, 69, 133, 137, 81, 145, 149, 93, 157, 161, 105, 169, 173, 117 ]
      and with periodicity 12
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2