n = 656 = 24·41

Number of selected skew morphism classes of C656 is 0
Total number of skew morphisms of C656 is 2040
Total number of skew morphism classes of C656 is 88
Total number of automorphisms of C656 is 320
  1. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 656
      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
    
    
  2. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 656
      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 656
      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 8
      with kernel of order 656
      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
    
    
  5. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 656
      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 656
      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 16
      
      of order 40
      with kernel of order 656
      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
    
    
  8. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 656
      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
    
    
  9. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  10. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 656
      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
    
    
  11. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 656
      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 2
      
      of order 4
      with kernel of order 656
      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
    
    
  14. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  15. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 656
      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
    
    
  16. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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 16
      
      of order 40
      with kernel of order 656
      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
    
    
  18. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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 8
      
      of order 20
      with kernel of order 656
      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
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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 4
      
      of order 10
      with kernel of order 656
      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
    
    
  22. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  23. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 656
      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
    
    
  24. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 656
      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
    
    
  25. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  26. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  27. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  29. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 656
      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
    
    
  30. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 656
      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
    
    
  31. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  32. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  34. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  35. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 656
      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
    
    
  36. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 656
      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
    
    
  37. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  38. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 656
      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
    
    
  39. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 656
      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
    
    
  40. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  41. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 656
      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
    
    
  42. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 656
      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
    
    
  43. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 656
      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
    
    
  44. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 656
      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
    
    
  45. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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 656
      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 656
      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 1
      
      of order 2
      with kernel of order 656
      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
    
    
  49. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 656
      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
    
    
  50. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 656
      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
    
    
  51. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 656
      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
    
    
  52. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 656
      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
    
    
  53. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 656
      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
    
    
  54. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 656
      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
    
    
  55. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 656
      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
    
    
  56. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 328
      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>
    
    
  57. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 328
      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>
    
    
  58. Skew morphsim class of size 40
      
      of order 41
      with kernel of order 328
      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>
    
    
  59. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 328
      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>
    
    
  60. Skew morphsim class of size 80
      
      of order 164
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 163 ]
      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 328
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 327 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  62. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 328
      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>
    
    
  63. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 328
      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>
    
    
  64. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 328
      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>
    
    
  65. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  66. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 328
      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>
    
    
  67. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  68. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 328
      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>
    
    
  69. Skew morphsim class of size 80
      
      of order 164
      with kernel of order 328
      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>
    
    
  70. Skew morphsim class of size 80
      
      of order 164
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 163 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  71. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 328
      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>
    
    
  72. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 328
      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>
    
    
  73. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 328
      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>
    
    
  74. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 328
      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>
    
    
  75. Skew morphsim class of size 80
      
      of order 164
      with kernel of order 328
      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>
    
    
  76. Skew morphsim class of size 160
      
      of order 328
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 327 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  77. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  78. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 328
      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>
    
    
  79. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 328
      and smallest kernel generator 2
      and power function values [ 1, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  80. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 328
      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>
    
    
  81. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 328
      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>
    
    
  82. Skew morphsim class of size 80
      
      of order 41
      with kernel of order 164
      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>
    
    
  83. Skew morphsim class of size 80
      
      of order 82
      with kernel of order 164
      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 164
      with kernel of order 164
      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>
    
    
  85. Skew morphsim class of size 160
      
      of order 164
      with kernel of order 164
      and smallest kernel generator 4
      and power function values [ 1, 91, 81, 155 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  86. Skew morphsim class of size 160
      
      of order 41
      with kernel of order 82
      and smallest kernel generator 8
      and power function values [ 1, 3, 9, 27, 40, 38, 32, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 8
      φ | √φ | φ' | φ|<8>
    
    
  87. Skew morphsim class of size 160
      
      of order 82
      with kernel of order 82
      and smallest kernel generator 8
      and power function values [ 1, 3, 9, 27, 81, 79, 73, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 8
      φ | √φ | φ' | φ|<8>