n = 390 = 2·3·5·13

Number of selected skew morphism classes of C390 is 0
Total number of skew morphisms of C390 is 1024
Total number of skew morphism classes of C390 is 85
Total number of automorphisms of C390 is 96
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 390
      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 2
      
      of order 3
      with kernel of order 390
      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 2
      
      of order 6
      with kernel of order 390
      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 390
      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 390
      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 1
      
      of order 2
      with kernel of order 390
      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
    
    
  7. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 390
      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 2
      
      of order 6
      with kernel of order 390
      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
    
    
  9. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 390
      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
    
    
  10. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 390
      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 2
      
      of order 4
      with kernel of order 390
      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
    
    
  12. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 390
      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 4
      
      of order 12
      with kernel of order 390
      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
    
    
  14. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 390
      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
    
    
  15. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      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
    
    
  16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      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 390
      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 6
      with kernel of order 390
      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 4
      
      of order 12
      with kernel of order 390
      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 390
      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 390
      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 390
      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 390
      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 2
      
      of order 4
      with kernel of order 390
      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
    
    
  25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 390
      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
    
    
  26. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 390
      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 4
      
      of order 12
      with kernel of order 390
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  29. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 390
      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
    
    
  30. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      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
    
    
  31. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 390
      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
    
    
  32. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  34. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 390
      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
    
    
  35. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 390
      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
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      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
    
    
  37. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 390
      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
    
    
  38. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 390
      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
    
    
  39. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 390
      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
    
    
  40. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 195
      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 4
      
      of order 5
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 12
      
      of order 13
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 12 ]
      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 15
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 38 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  45. Skew morphsim class of size 48
      
      of order 65
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 64 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  46. Skew morphsim class of size 96
      
      of order 195
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 194 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 195
      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>
    
    
  48. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      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 12
      with kernel of order 195
      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>
    
    
  50. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 195
      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>
    
    
  51. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      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 78
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 77 ]
      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 12
      with kernel of order 195
      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 4
      
      of order 12
      with kernel of order 195
      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 4
      
      of order 12
      with kernel of order 195
      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>
    
    
  56. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 48
      
      of order 156
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 77 ]
      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 6
      with kernel of order 195
      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>
    
    
  59. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 195
      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>
    
    
  60. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      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 12
      with kernel of order 195
      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>
    
    
  62. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 195
      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>
    
    
  63. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 195
      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>
    
    
  65. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 49 ]
      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 12
      with kernel of order 195
      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 24
      
      of order 52
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  68. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 195
      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>
    
    
  69. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  70. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 195
      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>
    
    
  71. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 195
      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>
    
    
  72. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 195
      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>
    
    
  73. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  74. Skew morphsim class of size 48
      
      of order 130
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 129 ]
      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 30
      with kernel of order 195
      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>
    
    
  76. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 195
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  77. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 130
      and smallest kernel generator 3
      and power function values [ 1, 3, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  78. Skew morphsim class of size 24
      
      of order 26
      with kernel of order 130
      and smallest kernel generator 3
      and power function values [ 1, 3, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  79. Skew morphsim class of size 48
      
      of order 52
      with kernel of order 130
      and smallest kernel generator 3
      and power function values [ 1, 9, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  80. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 65
      and smallest kernel generator 6
      and power function values [ 1, 4, 3, 12, 9, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  81. Skew morphsim class of size 96
      
      of order 65
      with kernel of order 65
      and smallest kernel generator 6
      and power function values [ 1, 4, 16, 64, 61, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  82. Skew morphsim class of size 96
      
      of order 65
      with kernel of order 65
      and smallest kernel generator 6
      and power function values [ 1, 9, 16, 14, 61, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  83. Skew morphsim class of size 24
      
      of order 26
      with kernel of order 65
      and smallest kernel generator 6
      and power function values [ 1, 17, 3, 25, 9, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  84. Skew morphsim class of size 48
      
      of order 52
      with kernel of order 65
      and smallest kernel generator 6
      and power function values [ 1, 17, 29, 25, 9, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>