n = 784 = 24·72

Number of selected skew morphism classes of C784 is 0
Total number of skew morphisms of C784 is 10440
Total number of skew morphism classes of C784 is 140
Total number of automorphisms of C784 is 336
  1. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 784
      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 6
      
      of order 7
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 7
      φ | √φ | φ' | φ7
    
    
  3. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 21
      φ | √φ | φ' | φ21
    
    
  4. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 784
      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 784
      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 6
      
      of order 14
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  7. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  8. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 784
      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 4
      with kernel of order 784
      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
    
    
  10. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 784
      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 4
      
      of order 12
      with kernel of order 784
      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
    
    
  12. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  13. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  14. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  15. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 784
      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 784
      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 12
      
      of order 28
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  19. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 784
      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 784
      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 12
      
      of order 28
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  23. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  24. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 784
      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 4
      
      of order 12
      with kernel of order 784
      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
    
    
  26. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  27. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  28. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 784
      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 784
      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 6
      
      of order 14
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  31. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  32. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 784
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 784
      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 6
      
      of order 14
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  35. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  36. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 784
      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
    
    
  37. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 784
      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 6
      
      of order 14
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  39. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  40. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 784
      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
    
    
  41. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 784
      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
    
    
  42. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  43. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  44. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 784
      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
    
    
  45. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 784
      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
    
    
  46. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  47. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 784
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  48. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 392
      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>
    
    
  49. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 392
      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>
    
    
  50. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 392
      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>
    
    
  51. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 392
      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 28
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 42
      
      of order 49
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 48 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  56. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 195 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 168
      
      of order 392
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 391 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 392
      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>
    
    
  59. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 392
      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>
    
    
  60. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 392
      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>
    
    
  61. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 392
      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>
    
    
  62. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 392
      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>
    
    
  63. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      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 4
      with kernel of order 392
      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>
    
    
  65. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 392
      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>
    
    
  66. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 392
      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>
    
    
  67. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 392
      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>
    
    
  68. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 392
      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>
    
    
  69. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 392
      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>
    
    
  70. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 392
      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>
    
    
  71. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  72. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  73. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  74. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 392
      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>
    
    
  75. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 195 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  76. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  77. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 392
      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>
    
    
  78. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 392
      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>
    
    
  79. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 392
      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>
    
    
  80. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 392
      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>
    
    
  81. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 392
      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>
    
    
  82. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 392
      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>
    
    
  83. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 392
      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>
    
    
  84. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 392
      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>
    
    
  85. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 392
      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>
    
    
  86. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  87. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  88. Skew morphsim class of size 168
      
      of order 392
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 391 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  89. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 392
      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>
    
    
  90. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 392
      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>
    
    
  91. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  92. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 392
      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>
    
    
  93. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 392
      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>
    
    
  94. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 392
      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>
    
    
  95. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  96. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 392
      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>
    
    
  97. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 392
      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>
    
    
  98. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  99. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 392
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  100. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  101. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  102. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  103. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  104. Skew morphsim class of size 72
      
      of order 21
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 4, 7, 10, 13, 16, 19 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  105. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 5, 9, 13, 17, 21, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  106. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 5, 9, 13, 17, 21, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  107. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  108. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  109. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  110. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  111. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  112. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  113. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  114. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  115. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  116. Skew morphsim class of size 144
      
      of order 56
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 41, 47, 25, 31, 9, 15, 49, 55, 33, 39, 17, 23 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  117. Skew morphsim class of size 144
      
      of order 56
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 41, 47, 25, 31, 9, 15, 49, 55, 33, 39, 17, 23 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  118. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 13, 25, 37, 49, 61, 73 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  119. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 13, 25, 37, 49, 61, 73 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  120. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  121. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  122. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 13, 25, 37, 49, 61, 73 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  123. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 112
      and smallest kernel generator 7
      and power function values [ 1, 13, 25, 37, 49, 61, 73 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  124. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  125. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  126. Skew morphsim class of size 288
      
      of order 168
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 97, 103, 25, 31, 121, 127, 49, 55, 145, 151, 73, 79 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  127. Skew morphsim class of size 288
      
      of order 168
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 97, 103, 25, 31, 121, 127, 49, 55, 145, 151, 73, 79 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  128. Skew morphsim class of size 288
      
      of order 168
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 97, 103, 25, 31, 121, 127, 49, 55, 145, 151, 73, 79 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  129. Skew morphsim class of size 288
      
      of order 168
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 7, 97, 103, 25, 31, 121, 127, 49, 55, 145, 151, 73, 79 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  130. Skew morphsim class of size 252
      
      of order 49
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 6, 43, 13, 36, 20, 29, 27, 22, 34, 15, 41, 8, 48 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  131. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 27, 71, 41, 57, 55, 43, 69, 29, 83, 15, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  132. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 27, 169, 55, 141, 83, 113, 111, 85, 139, 57, 167, 29, 195 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  133. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 125, 169, 41, 57, 153, 141, 69, 29, 181, 113, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  134. Skew morphsim class of size 1008
      
      of order 392
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 55, 337, 111, 281, 167, 225, 223, 169, 279, 113, 335, 57, 391 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  135. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 27, 169, 55, 141, 83, 113, 111, 85, 139, 57, 167, 29, 195 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  136. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 125, 169, 41, 57, 153, 141, 69, 29, 181, 113, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  137. Skew morphsim class of size 1008
      
      of order 392
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 55, 337, 111, 281, 167, 225, 223, 169, 279, 113, 335, 57, 391 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  138. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 27, 71, 41, 57, 55, 43, 69, 29, 83, 15, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  139. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 56
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 27, 71, 41, 57, 55, 43, 69, 29, 83, 15, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>