n = 160 = 25·5

Number of selected skew morphism classes of C160 is 0
Total number of skew morphisms of C160 is 680
Total number of skew morphism classes of C160 is 78
Total number of automorphisms of C160 is 64
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 160
      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
    
    
  2. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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
    
    
  3. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 160
      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
    
    
  4. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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
    
    
  5. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 160
      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
    
    
  6. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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
    
    
  7. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 160
      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
    
    
  8. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 160
      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
    
    
  9. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 160
      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 4
      
      of order 8
      with kernel of order 160
      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
    
    
  11. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 160
      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
    
    
  12. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 160
      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
    
    
  13. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 160
      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
    
    
  14. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 160
      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
    
    
  15. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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 2
      
      of order 4
      with kernel of order 160
      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 2
      
      of order 4
      with kernel of order 160
      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 2
      
      of order 4
      with kernel of order 160
      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
    
    
  19. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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 2
      
      of order 4
      with kernel of order 160
      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
    
    
  22. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 160
      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
    
    
  23. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 160
      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
    
    
  24. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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
    
    
  25. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 160
      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
    
    
  26. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 160
      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
    
    
  27. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 160
      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 4
      with kernel of order 80
      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>
    
    
  29. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 80
      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>
    
    
  30. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  31. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 80
      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>
    
    
  32. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  33. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 80
      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 16
      
      of order 40
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 39 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  35. Skew morphsim class of size 32
      
      of order 80
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 79 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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>
    
    
  37. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  38. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  39. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  40. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  41. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 80
      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>
    
    
  42. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 80
      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>
    
    
  43. Skew morphsim class of size 32
      
      of order 80
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 79 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  45. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 80
      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>
    
    
  46. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  48. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  50. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  51. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  52. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  53. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 80
      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>
    
    
  54. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 80
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  56. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  57. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 80
      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>
    
    
  58. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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>
    
    
  59. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 80
      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>
    
    
  60. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 80
      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>
    
    
  61. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 80
      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>
    
    
  62. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 80
      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>
    
    
  63. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 80
      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>
    
    
  64. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 40
      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>
    
    
  65. Skew morphsim class of size 8
      
      of order 10
      with kernel of order 40
      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>
    
    
  66. Skew morphsim class of size 16
      
      of order 20
      with kernel of order 40
      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>
    
    
  67. Skew morphsim class of size 16
      
      of order 20
      with kernel of order 40
      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>
    
    
  68. Skew morphsim class of size 32
      
      of order 40
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  69. Skew morphsim class of size 32
      
      of order 40
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 7, 9, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  70. Skew morphsim class of size 32
      
      of order 40
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 13, 9, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  71. Skew morphsim class of size 32
      
      of order 40
      with kernel of order 40
      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>
    
    
  72. Skew morphsim class of size 8
      
      of order 8
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 3, 5, 7 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  73. Skew morphsim class of size 8
      
      of order 8
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 3, 5, 7 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  74. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 7, 9, 15 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  75. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 7, 9, 15 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  76. Skew morphsim class of size 32
      
      of order 40
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 19, 21, 39 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  77. Skew morphsim class of size 64
      
      of order 80
      with kernel of order 40
      and smallest kernel generator 4
      and power function values [ 1, 39, 41, 79 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2