Number of selected skew morphism classes of C820 is 0
Total number of skew morphisms of C820 is 3648
Total number of skew morphism classes of C820 is 88
Total number of automorphisms of C820 is 320

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 820
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 820
     φ | √φ | φ' | φ|<820>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 820
     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 820
     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 820
     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 820
     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 820
     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 1
     
     of order 2
     with kernel of order 820
     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 820
     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 4
     
     of order 8
     with kernel of order 820
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 8
     φ | √φ | φ' | φ8
   
   

10. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

11. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 820
      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
    
    

13. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 820
      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
    
    

14. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 820
      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
    
    

15. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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 8
      
      of order 20
      with kernel of order 820
      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
    
    

17. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

18. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

19. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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 8
      
      of order 20
      with kernel of order 820
      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
    
    

22. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

23. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

24. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

25. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

26. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

27. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

28. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

29. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

30. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

31. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 820
      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
    
    

32. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

33. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

34. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 820
      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
    
    

35. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 820
      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
    
    

36. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 820
      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
    
    

37. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

38. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

39. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

40. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

41. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

42. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

43. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

44. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

45. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

46. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

47. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

48. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

49. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 820
      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
    
    

50. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 820
      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
    
    

51. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 820
      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
    
    

52. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

53. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 820
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    

54. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 820
      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
    
    

55. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 820
      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
    
    

56. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 820
      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
    
    

57. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 410
      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>
    
    

58. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 410
      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>
    
    

59. Skew morphsim class of size 40
      
      of order 41
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 40 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

60. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

61. Skew morphsim class of size 160
      
      of order 205
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 204 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

62. Skew morphsim class of size 160
      
      of order 410
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 409 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

63. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

64. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

65. Skew morphsim class of size 80
      
      of order 164
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

66. Skew morphsim class of size 80
      
      of order 164
      with kernel of order 410
      and smallest kernel generator 2
      and power function values [ 1, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

67. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 410
      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>
    
    

68. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 410
      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>
    
    

69. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 410
      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>
    
    

70. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 410
      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>
    
    

71. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 410
      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>
    
    

72. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 410
      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>
    
    

73. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 205
      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>
    
    

74. Skew morphsim class of size 80
      
      of order 41
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 9, 40, 32 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

75. Skew morphsim class of size 320
      
      of order 205
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 32, 204, 173 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

76. Skew morphsim class of size 320
      
      of order 205
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 9, 81, 114 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

77. Skew morphsim class of size 320
      
      of order 205
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 122, 124, 163 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

78. Skew morphsim class of size 320
      
      of order 205
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 73, 204, 132 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

79. Skew morphsim class of size 8
      
      of order 10
      with kernel of order 205
      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>
    
    

80. Skew morphsim class of size 16
      
      of order 20
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 13, 9, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

81. Skew morphsim class of size 32
      
      of order 40
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 17, 9, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

82. Skew morphsim class of size 80
      
      of order 82
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 9, 81, 73 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

83. Skew morphsim class of size 160
      
      of order 164
      with kernel of order 205
      and smallest kernel generator 4
      and power function values [ 1, 9, 81, 73 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

84. Skew morphsim class of size 160
      
      of order 41
      with kernel of order 164
      and smallest kernel generator 5
      and power function values [ 1, 10, 18, 16, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

85. Skew morphsim class of size 160
      
      of order 82
      with kernel of order 164
      and smallest kernel generator 5
      and power function values [ 1, 37, 57, 59, 51 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

86. Skew morphsim class of size 160
      
      of order 41
      with kernel of order 82
      and smallest kernel generator 10
      and power function values [ 1, 4, 16, 23, 10, 40, 37, 25, 18, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

87. Skew morphsim class of size 160
      
      of order 82
      with kernel of order 82
      and smallest kernel generator 10
      and power function values [ 1, 23, 37, 31, 57, 81, 59, 45, 51, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

88. Skew morphsim class of size 320
      
      of order 41
      with kernel of order 41
      and smallest kernel generator 20
      and power function values [ 1, 2, 4, 8, 16, 32, 23, 5, 10, 20, 40, 39, 37, 33, 25, 9, 18, 36, 31, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 20
      φ | √φ | φ' | φ|<20>