n = 1666 = 2·72·17

Number of selected skew morphism classes of C1666 is 0
Total number of skew morphisms of C1666 is 16704
Total number of skew morphism classes of C1666 is 84
Total number of automorphisms of C1666 is 672
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1666
      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 1666
      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 4
      with kernel of order 1666
      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
    
    
  4. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1666
      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 6
      
      of order 7
      with kernel of order 1666
      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
    
    
  6. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1666
      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
    
    
  7. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1666
      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
    
    
  8. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 1666
      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
    
    
  9. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 1666
      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
    
    
  10. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1666
      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
    
    
  11. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 1666
      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
    
    
  12. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  13. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  14. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 56
      φ | √φ | φ' | φ56
    
    
  15. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 168
      φ | √φ | φ' | φ168
    
    
  16. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  17. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    
  18. Skew morphsim class of size 48
      
      of order 112
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 112
      φ | √φ | φ' | φ112
    
    
  19. Skew morphsim class of size 96
      
      of order 336
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 336
      φ | √φ | φ' | φ336
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1666
      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 12
      
      of order 28
      with kernel of order 1666
      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
    
    
  22. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  23. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 56
      φ | √φ | φ' | φ56
    
    
  24. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  25. Skew morphsim class of size 48
      
      of order 112
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 112
      φ | √φ | φ' | φ112
    
    
  26. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1666
      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 6
      
      of order 14
      with kernel of order 1666
      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
    
    
  28. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1666
      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 6
      
      of order 14
      with kernel of order 1666
      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
    
    
  30. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1666
      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
    
    
  31. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 1666
      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
    
    
  32. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  33. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 168
      φ | √φ | φ' | φ168
    
    
  34. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    
  35. Skew morphsim class of size 96
      
      of order 336
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 336
      φ | √φ | φ' | φ336
    
    
  36. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  37. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1666
      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
    
    
  38. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  39. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1666
      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 6
      
      of order 7
      with kernel of order 833
      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>
    
    
  41. Skew morphsim class of size 16
      
      of order 17
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 42
      
      of order 49
      with kernel of order 833
      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>
    
    
  43. Skew morphsim class of size 96
      
      of order 119
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 118 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 672
      
      of order 833
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 832 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  45. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 833
      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>
    
    
  46. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 833
      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>
    
    
  47. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 833
      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>
    
    
  48. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 833
      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>
    
    
  49. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 168
      
      of order 392
      with kernel of order 833
      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>
    
    
  51. Skew morphsim class of size 48
      
      of order 112
      with kernel of order 833
      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>
    
    
  52. Skew morphsim class of size 336
      
      of order 784
      with kernel of order 833
      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>
    
    
  53. Skew morphsim class of size 32
      
      of order 51
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 96
      
      of order 119
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 50 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 192
      
      of order 357
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 169 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  56. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 32
      
      of order 102
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 67 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 96
      
      of order 238
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 169 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 192
      
      of order 714
      with kernel of order 833
      and smallest kernel generator 2
      and power function values [ 1, 169 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 238
      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
    
    
  61. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 238
      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
    
    
  62. Skew morphsim class of size 72
      
      of order 21
      with kernel of order 238
      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
    
    
  63. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 238
      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
    
    
  64. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 238
      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
    
    
  65. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 238
      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
    
    
  66. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 238
      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
    
    
  67. Skew morphsim class of size 144
      
      of order 56
      with kernel of order 238
      and smallest kernel generator 7
      and power function values [ 1, 9, 17, 25, 33, 41, 49 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  68. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 238
      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
    
    
  69. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 238
      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
    
    
  70. Skew morphsim class of size 288
      
      of order 112
      with kernel of order 238
      and smallest kernel generator 7
      and power function values [ 1, 17, 33, 49, 65, 81, 97 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  71. Skew morphsim class of size 288
      
      of order 168
      with kernel of order 238
      and smallest kernel generator 7
      and power function values [ 1, 25, 49, 73, 97, 121, 145 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  72. Skew morphsim class of size 288
      
      of order 168
      with kernel of order 238
      and smallest kernel generator 7
      and power function values [ 1, 25, 49, 73, 97, 121, 145 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  73. Skew morphsim class of size 576
      
      of order 238
      with kernel of order 119
      and smallest kernel generator 14
      and power function values [ 1, 33, 205, 237, 171, 203, 137, 169, 103, 135, 69, 101, 35, 67 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  74. Skew morphsim class of size 576
      
      of order 336
      with kernel of order 238
      and smallest kernel generator 7
      and power function values [ 1, 49, 97, 145, 193, 241, 289 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  75. Skew morphsim class of size 576
      
      of order 336
      with kernel of order 238
      and smallest kernel generator 7
      and power function values [ 1, 49, 97, 145, 193, 241, 289 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  76. Skew morphsim class of size 1152
      
      of order 357
      with kernel of order 119
      and smallest kernel generator 14
      and power function values [ 1, 16, 52, 67, 103, 118, 154, 169, 205, 220, 256, 271, 307, 322 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  77. Skew morphsim class of size 1152
      
      of order 714
      with kernel of order 119
      and smallest kernel generator 14
      and power function values [ 1, 67, 511, 577, 307, 373, 103, 169, 613, 679, 409, 475, 205, 271 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  78. Skew morphsim class of size 252
      
      of order 49
      with kernel of order 119
      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>
    
    
  79. Skew morphsim class of size 4032
      
      of order 833
      with kernel of order 119
      and smallest kernel generator 14
      and power function values [ 1, 118, 715, 237, 596, 356, 477, 475, 358, 594, 239, 713, 120, 832 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  80. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 119
      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>
    
    
  81. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 119
      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>
    
    
  82. Skew morphsim class of size 1008
      
      of order 392
      with kernel of order 119
      and smallest kernel generator 14
      and power function values [ 1, 41, 57, 377, 113, 321, 169, 265, 225, 209, 281, 153, 337, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  83. Skew morphsim class of size 2016
      
      of order 784
      with kernel of order 119
      and smallest kernel generator 14
      and power function values [ 1, 209, 673, 321, 561, 433, 449, 545, 337, 657, 225, 769, 113, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>