n = 496 = 24·31

Number of selected skew morphism classes of C496 is 0
Total number of skew morphisms of C496 is 1200
Total number of skew morphism classes of C496 is 90
Total number of automorphisms of C496 is 240

  1. Skew morphsim class of size 4
  
  of order 5
  with kernel of order 496
  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


  2. Skew morphsim class of size 1
  
  of order 2
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 2
  φ | √φ | φ' | φ2


  3. Skew morphsim class of size 2
  
  of order 3
  with kernel of order 496
  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


  4. Skew morphsim class of size 2
  
  of order 6
  with kernel of order 496
  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


  5. Skew morphsim class of size 4
  
  of order 10
  with kernel of order 496
  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


  6. Skew morphsim class of size 8
  
  of order 15
  with kernel of order 496
  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


  7. Skew morphsim class of size 8
  
  of order 30
  with kernel of order 496
  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 496
  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 496
  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 4
  
  of order 10
  with kernel of order 496
  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


  11. Skew morphsim class of size 8
  
  of order 20
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 20
  φ | √φ | φ' | φ20


  12. Skew morphsim class of size 2
  
  of order 4
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 4
  φ | √φ | φ' | φ4


  13. Skew morphsim class of size 2
  
  of order 6
  with kernel of order 496
  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 4
  
  of order 12
  with kernel of order 496
  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


  15. Skew morphsim class of size 8
  
  of order 20
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 20
  φ | √φ | φ' | φ20


  16. Skew morphsim class of size 8
  
  of order 30
  with kernel of order 496
  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


  17. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 60
  φ | √φ | φ' | φ60


  18. Skew morphsim class of size 4
  
  of order 12
  with kernel of order 496
  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


  19. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 60
  φ | √φ | φ' | φ60


  20. Skew morphsim class of size 2
  
  of order 4
  with kernel of order 496
  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 8
  
  of order 20
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 20
  φ | √φ | φ' | φ20


  22. Skew morphsim class of size 2
  
  of order 4
  with kernel of order 496
  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


  23. Skew morphsim class of size 4
  
  of order 12
  with kernel of order 496
  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


  24. Skew morphsim class of size 8
  
  of order 20
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 20
  φ | √φ | φ' | φ20


  25. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 60
  φ | √φ | φ' | φ60


  26. Skew morphsim class of size 4
  
  of order 12
  with kernel of order 496
  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


  27. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 496
  and smallest kernel generator 1
  and power function values [ 1 ]
  and with periodicity 1
  and with complexity 1
  and with auto-order 60
  φ | √φ | φ' | φ60


  28. Skew morphsim class of size 1
  
  of order 2
  with kernel of order 496
  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 4
  
  of order 10
  with kernel of order 496
  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


  30. Skew morphsim class of size 1
  
  of order 2
  with kernel of order 496
  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 496
  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 4
  
  of order 10
  with kernel of order 496
  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


  33. Skew morphsim class of size 8
  
  of order 30
  with kernel of order 496
  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


  34. Skew morphsim class of size 2
  
  of order 6
  with kernel of order 496
  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 8
  
  of order 30
  with kernel of order 496
  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


  36. Skew morphsim class of size 1
  
  of order 2
  with kernel of order 496
  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 496
  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 4
  
  of order 10
  with kernel of order 496
  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


  39. Skew morphsim class of size 8
  
  of order 30
  with kernel of order 496
  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


  40. Skew morphsim class of size 1
  
  of order 2
  with kernel of order 496
  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 4
  
  of order 10
  with kernel of order 496
  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


  42. Skew morphsim class of size 1
  
  of order 2
  with kernel of order 496
  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


  43. Skew morphsim class of size 2
  
  of order 6
  with kernel of order 496
  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


  44. Skew morphsim class of size 4
  
  of order 10
  with kernel of order 496
  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


  45. Skew morphsim class of size 8
  
  of order 30
  with kernel of order 496
  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


  46. Skew morphsim class of size 2
  
  of order 6
  with kernel of order 496
  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


  47. Skew morphsim class of size 8
  
  of order 30
  with kernel of order 496
  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


  48. Skew morphsim class of size 2
  
  of order 4
  with kernel of order 248
  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 4
  
  of order 8
  with kernel of order 248
  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>


  50. Skew morphsim class of size 30
  
  of order 31
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 30 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  51. Skew morphsim class of size 30
  
  of order 62
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 61 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  52. Skew morphsim class of size 60
  
  of order 124
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 123 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  53. Skew morphsim class of size 120
  
  of order 248
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 247 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  54. Skew morphsim class of size 8
  
  of order 20
  with kernel of order 248
  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>


  55. Skew morphsim class of size 16
  
  of order 40
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  56. Skew morphsim class of size 2
  
  of order 4
  with kernel of order 248
  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>


  57. Skew morphsim class of size 4
  
  of order 8
  with kernel of order 248
  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>


  58. Skew morphsim class of size 4
  
  of order 12
  with kernel of order 248
  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>


  59. Skew morphsim class of size 8
  
  of order 24
  with kernel of order 248
  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>


  60. Skew morphsim class of size 4
  
  of order 12
  with kernel of order 248
  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 248
  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 8
  
  of order 20
  with kernel of order 248
  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>


  63. Skew morphsim class of size 16
  
  of order 40
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  64. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  65. Skew morphsim class of size 32
  
  of order 120
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  66. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  67. Skew morphsim class of size 32
  
  of order 120
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  68. Skew morphsim class of size 2
  
  of order 4
  with kernel of order 248
  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>


  69. Skew morphsim class of size 60
  
  of order 124
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 123 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  70. Skew morphsim class of size 60
  
  of order 124
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 61 ]
  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 20
  with kernel of order 248
  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>


  72. Skew morphsim class of size 2
  
  of order 4
  with kernel of order 248
  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 4
  
  of order 12
  with kernel of order 248
  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>


  74. Skew morphsim class of size 8
  
  of order 20
  with kernel of order 248
  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>


  75. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  76. Skew morphsim class of size 4
  
  of order 12
  with kernel of order 248
  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>


  77. Skew morphsim class of size 16
  
  of order 60
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  78. Skew morphsim class of size 4
  
  of order 8
  with kernel of order 248
  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 60
  
  of order 124
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 61 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  80. Skew morphsim class of size 120
  
  of order 248
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 247 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  81. Skew morphsim class of size 16
  
  of order 40
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  82. Skew morphsim class of size 4
  
  of order 8
  with kernel of order 248
  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>


  83. Skew morphsim class of size 8
  
  of order 24
  with kernel of order 248
  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>


  84. Skew morphsim class of size 16
  
  of order 40
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  85. Skew morphsim class of size 32
  
  of order 120
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  86. Skew morphsim class of size 8
  
  of order 24
  with kernel of order 248
  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>


  87. Skew morphsim class of size 32
  
  of order 120
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 31 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  88. Skew morphsim class of size 30
  
  of order 62
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 61 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>


  89. Skew morphsim class of size 30
  
  of order 62
  with kernel of order 248
  and smallest kernel generator 2
  and power function values [ 1, 61 ]
  and with periodicity 1
  and with complexity 2
  and with auto-order 2
  φ | √φ | φ' | φ|<2>