n = 224 = 25·7

Number of selected skew morphism classes of C224 is 0
Total number of skew morphisms of C224 is 912
Total number of skew morphism classes of C224 is 90
Total number of automorphisms of C224 is 96
  1. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 224
      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
    
    
  2. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 224
      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 6
      with kernel of order 224
      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
    
    
  4. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 224
      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
    
    
  5. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 224
      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
    
    
  6. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 224
      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
    
    
  7. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 224
      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 12
      with kernel of order 224
      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
    
    
  9. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 224
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  10. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 224
      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 8
      
      of order 24
      with kernel of order 224
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  12. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 224
      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 8
      
      of order 24
      with kernel of order 224
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  14. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 224
      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
    
    
  15. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 224
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 224
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  17. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 224
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    
  18. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 224
      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 4
      
      of order 12
      with kernel of order 224
      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
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 224
      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 12
      with kernel of order 224
      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
    
    
  22. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 224
      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 2
      
      of order 6
      with kernel of order 224
      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
    
    
  24. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 224
      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
    
    
  25. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 224
      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
    
    
  26. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 224
      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 2
      
      of order 6
      with kernel of order 224
      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
    
    
  28. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 224
      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
    
    
  29. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 224
      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
    
    
  30. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 224
      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
    
    
  31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 224
      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
    
    
  32. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 112
      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>
    
    
  33. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  34. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 112
      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>
    
    
  35. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  36. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 112
      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>
    
    
  37. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  38. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  39. Skew morphsim class of size 48
      
      of order 112
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 111 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  40. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 112
      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>
    
    
  41. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      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>
    
    
  42. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 112
      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>
    
    
  43. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 112
      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>
    
    
  44. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 112
      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>
    
    
  45. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 112
      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>
    
    
  46. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 112
      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>
    
    
  47. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      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>
    
    
  48. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 112
      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>
    
    
  49. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 112
      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>
    
    
  50. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 112
      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>
    
    
  51. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 48
      
      of order 112
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 111 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 112
      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>
    
    
  55. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  56. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      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>
    
    
  58. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 112
      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>
    
    
  59. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 112
      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>
    
    
  61. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      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 8
      with kernel of order 112
      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>
    
    
  63. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  65. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  66. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 112
      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>
    
    
  67. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      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 112
      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 12
      
      of order 28
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  70. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  71. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 112
      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>
    
    
  72. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 112
      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 4
      
      of order 12
      with kernel of order 112
      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>
    
    
  74. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 112
      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>
    
    
  75. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 112
      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>
    
    
  76. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 112
      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>
    
    
  77. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 112
      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 6
      
      of order 14
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  79. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 112
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  80. Skew morphsim class of size 8
      
      of order 8
      with kernel of order 56
      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
    
    
  81. Skew morphsim class of size 8
      
      of order 8
      with kernel of order 56
      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
    
    
  82. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 56
      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
    
    
  83. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 56
      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
    
    
  84. Skew morphsim class of size 16
      
      of order 24
      with kernel of order 56
      and smallest kernel generator 4
      and power function values [ 1, 7, 13, 19 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  85. Skew morphsim class of size 16
      
      of order 24
      with kernel of order 56
      and smallest kernel generator 4
      and power function values [ 1, 7, 13, 19 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  86. Skew morphsim class of size 32
      
      of order 48
      with kernel of order 56
      and smallest kernel generator 4
      and power function values [ 1, 7, 25, 31 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  87. Skew morphsim class of size 32
      
      of order 48
      with kernel of order 56
      and smallest kernel generator 4
      and power function values [ 1, 7, 25, 31 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  88. Skew morphsim class of size 48
      
      of order 56
      with kernel of order 56
      and smallest kernel generator 4
      and power function values [ 1, 27, 29, 55 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  89. Skew morphsim class of size 96
      
      of order 112
      with kernel of order 56
      and smallest kernel generator 4
      and power function values [ 1, 55, 57, 111 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2