n = 396 = 22·32·11

Number of selected skew morphism classes of C396 is 0
Total number of skew morphisms of C396 is 1200
Total number of skew morphism classes of C396 is 80
Total number of automorphisms of C396 is 120
  1. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 396
      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 4
      
      of order 5
      with kernel of order 396
      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
    
    
  3. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 15
      φ | √φ | φ' | φ15
    
    
  4. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 396
      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 6
      with kernel of order 396
      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 4
      
      of order 10
      with kernel of order 396
      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
    
    
  7. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  8. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 396
      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 4
      
      of order 10
      with kernel of order 396
      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
    
    
  10. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 396
      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
    
    
  11. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 396
      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
    
    
  12. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 396
      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 8
      
      of order 30
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  14. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 396
      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 8
      
      of order 30
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  16. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 396
      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 2
      
      of order 6
      with kernel of order 396
      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 4
      
      of order 10
      with kernel of order 396
      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
    
    
  19. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 396
      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 396
      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 4
      
      of order 10
      with kernel of order 396
      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
    
    
  23. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  24. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 396
      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 4
      
      of order 10
      with kernel of order 396
      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
    
    
  26. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 396
      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 4
      
      of order 10
      with kernel of order 396
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 396
      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
    
    
  29. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  30. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 396
      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
    
    
  31. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 396
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  32. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 198
      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>
    
    
  33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 198
      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>
    
    
  34. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 198
      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>
    
    
  35. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  36. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 198
      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>
    
    
  37. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  38. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 32 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  39. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 65 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  40. Skew morphsim class of size 60
      
      of order 99
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 98 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  41. Skew morphsim class of size 60
      
      of order 198
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 197 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  43. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 43 ]
      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 15
      with kernel of order 198
      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>
    
    
  45. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 198
      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>
    
    
  46. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  48. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 198
      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 2
      
      of order 6
      with kernel of order 198
      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 6
      
      of order 18
      with kernel of order 198
      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>
    
    
  55. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 198
      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 8
      
      of order 30
      with kernel of order 198
      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>
    
    
  57. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 198
      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>
    
    
  58. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 198
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      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 6
      with kernel of order 132
      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
    
    
  61. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 132
      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
    
    
  62. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 132
      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
    
    
  63. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 132
      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
    
    
  64. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 132
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  65. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 132
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  66. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 132
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  67. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 132
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  68. Skew morphsim class of size 40
      
      of order 66
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 21, 23, 43, 45, 65 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  69. Skew morphsim class of size 40
      
      of order 66
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 21, 23, 43, 45, 65 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  70. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 66
      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>
    
    
  71. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 66
      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>
    
    
  72. Skew morphsim class of size 120
      
      of order 99
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 32, 67, 65, 34, 98 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  73. Skew morphsim class of size 120
      
      of order 198
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 65, 133, 131, 67, 197 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  74. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 11, 16, 41, 31, 26 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  75. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 11, 61, 41, 31, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  76. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 66
      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>
    
    
  77. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 66
      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>
    
    
  78. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 11, 61, 41, 31, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  79. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 66
      and smallest kernel generator 6
      and power function values [ 1, 11, 61, 41, 31, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>