n = 192 = 26·3

Number of selected skew morphism classes of C192 is 0
Total number of skew morphisms of C192 is 1200
Total number of skew morphism classes of C192 is 87
Total number of automorphisms of C192 is 64
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 192
      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 1
      
      of order 2
      with kernel of order 192
      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 192
      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 192
      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 8
      
      of order 16
      with kernel of order 192
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  6. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 192
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  7. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 192
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  8. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 192
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  9. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 192
      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 192
      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 192
      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 2
      
      of order 4
      with kernel of order 192
      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
    
    
  13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 192
      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 192
      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 1
      
      of order 2
      with kernel of order 192
      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
    
    
  16. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 192
      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
    
    
  17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 192
      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
    
    
  18. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 192
      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
    
    
  19. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 192
      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
    
    
  20. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 2 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 96
      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>
    
    
  22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 96
      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>
    
    
  23. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 96
      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>
    
    
  24. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 96
      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>
    
    
  25. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 96
      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>
    
    
  26. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  27. Skew morphsim class of size 16
      
      of order 32
      with kernel of order 96
      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>
    
    
  28. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 47 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  29. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 95 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  30. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 96
      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>
    
    
  31. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 96
      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>
    
    
  32. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 96
      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 16
      
      of order 32
      with kernel of order 96
      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>
    
    
  34. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 96
      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>
    
    
  35. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 96
      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>
    
    
  36. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 96
      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>
    
    
  37. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 96
      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>
    
    
  38. Skew morphsim class of size 16
      
      of order 32
      with kernel of order 96
      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>
    
    
  39. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  40. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 95 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  41. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 96
      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>
    
    
  42. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 96
      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>
    
    
  43. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 96
      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>
    
    
  45. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 96
      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 48
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 96
      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>
    
    
  48. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 96
      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>
    
    
  49. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 96
      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>
    
    
  50. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 96
      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>
    
    
  52. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 96
      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 4
      
      of order 8
      with kernel of order 96
      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>
    
    
  54. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 96
      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 8
      
      of order 24
      with kernel of order 96
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      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 96
      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 2
      
      of order 4
      with kernel of order 96
      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>
    
    
  58. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 96
      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 4
      
      of order 12
      with kernel of order 96
      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>
    
    
  60. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 96
      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>
    
    
  61. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 96
      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 8
      
      of order 16
      with kernel of order 96
      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>
    
    
  63. Skew morphsim class of size 16
      
      of order 32
      with kernel of order 96
      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>
    
    
  64. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 96
      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>
    
    
  65. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 96
      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>
    
    
  66. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  67. Skew morphsim class of size 32
      
      of order 48
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 11, 25, 35 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  68. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 5, 9, 13 ]
      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 48
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 5, 25, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  70. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 5, 9, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  71. Skew morphsim class of size 16
      
      of order 16
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 11 ]
      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 48
      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 48
      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 48
      and smallest kernel generator 4
      and power function values [ 1, 5, 9, 13 ]
      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 48
      and smallest kernel generator 4
      and power function values [ 1, 5, 9, 13 ]
      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 16
      with kernel of order 24
      and smallest kernel generator 8
      and power function values [ 1, 3, 13, 15, 9, 11, 5, 7 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  77. Skew morphsim class of size 32
      
      of order 16
      with kernel of order 24
      and smallest kernel generator 8
      and power function values [ 1, 3, 13, 15, 9, 11, 5, 7 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  78. Skew morphsim class of size 16
      
      of order 24
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 11, 13, 23 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  79. Skew morphsim class of size 32
      
      of order 32
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 15, 17, 31 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  80. Skew morphsim class of size 32
      
      of order 32
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 15, 17, 31 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  81. Skew morphsim class of size 32
      
      of order 48
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 5, 25, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  82. Skew morphsim class of size 64
      
      of order 48
      with kernel of order 24
      and smallest kernel generator 8
      and power function values [ 1, 11, 13, 23, 25, 35, 37, 47 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  83. Skew morphsim class of size 64
      
      of order 96
      with kernel of order 48
      and smallest kernel generator 4
      and power function values [ 1, 47, 49, 95 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  84. Skew morphsim class of size 64
      
      of order 32
      with kernel of order 24
      and smallest kernel generator 8
      and power function values [ 1, 7, 9, 31, 17, 23, 25, 15 ]
      and with periodicity 4
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  85. Skew morphsim class of size 64
      
      of order 32
      with kernel of order 24
      and smallest kernel generator 8
      and power function values [ 1, 7, 9, 31, 17, 23, 25, 15 ]
      and with periodicity 4
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  86. Skew morphsim class of size 128
      
      of order 96
      with kernel of order 24
      and smallest kernel generator 8
      and power function values [ 1, 23, 25, 95, 49, 71, 73, 47 ]
      and with periodicity 4
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>