n = 252 = 22·32·7

Number of selected skew morphism classes of C252 is 0
Total number of skew morphisms of C252 is 768
Total number of skew morphism classes of C252 is 84
Total number of automorphisms of C252 is 72
  1. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 252
      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 2
      
      of order 3
      with kernel of order 252
      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
    
    
  3. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 252
      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 3
      with kernel of order 252
      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
    
    
  5. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  6. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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 2
      
      of order 6
      with kernel of order 252
      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
    
    
  8. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 252
      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 3
      with kernel of order 252
      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
    
    
  10. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  11. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 252
      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
    
    
  12. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  13. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  14. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  15. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  17. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  18. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  19. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 252
      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
    
    
  21. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  23. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 252
      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 6
      with kernel of order 252
      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
    
    
  25. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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 2
      
      of order 6
      with kernel of order 252
      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
    
    
  27. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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 252
      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 252
      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 252
      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 252
      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 6
      with kernel of order 252
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  34. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  35. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  36. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  37. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  38. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  39. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 252
      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
    
    
  40. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 126
      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>
    
    
  41. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 126
      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 6
      
      of order 7
      with kernel of order 126
      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>
    
    
  43. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 126
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 126
      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>
    
    
  45. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 126
      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>
    
    
  46. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 126
      and smallest kernel generator 2
      and power function values [ 1, 20 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 126
      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 36
      
      of order 63
      with kernel of order 126
      and smallest kernel generator 2
      and power function values [ 1, 62 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 36
      
      of order 126
      with kernel of order 126
      and smallest kernel generator 2
      and power function values [ 1, 125 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 126
      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>
    
    
  51. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 126
      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 12
      
      of order 21
      with kernel of order 126
      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>
    
    
  53. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 126
      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>
    
    
  54. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 126
      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>
    
    
  55. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 126
      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 2
      
      of order 6
      with kernel of order 126
      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 6
      with kernel of order 126
      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 6
      
      of order 18
      with kernel of order 126
      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>
    
    
  59. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 126
      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>
    
    
  60. Skew morphsim class of size 12
      
      of order 7
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 2, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  61. Skew morphsim class of size 24
      
      of order 21
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 4, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  62. Skew morphsim class of size 12
      
      of order 14
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 9, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  63. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 25, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  64. Skew morphsim class of size 12
      
      of order 7
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 3, 2, 6, 4, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  65. Skew morphsim class of size 12
      
      of order 14
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 3, 9, 13, 11, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  66. Skew morphsim class of size 24
      
      of order 21
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 2, 4, 8, 16, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  67. Skew morphsim class of size 24
      
      of order 21
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 5, 4, 20, 16, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  68. Skew morphsim class of size 24
      
      of order 21
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 10, 16, 13, 4, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  69. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 5, 25, 41, 37, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  70. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 11, 37, 29, 25, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  71. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 19, 25, 13, 37, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  72. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  73. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  74. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  75. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 84
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  76. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 27, 29, 13, 15, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  77. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 27, 29, 13, 15, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  78. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 2, 7, 5, 4, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  79. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  80. Skew morphsim class of size 72
      
      of order 63
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 20, 43, 41, 22, 62 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  81. Skew morphsim class of size 72
      
      of order 126
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 41, 85, 83, 43, 125 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  82. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  83. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 42
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>