n = 1178 = 2·19·31

Number of selected skew morphism classes of C1178 is 0
Total number of skew morphisms of C1178 is 2160
Total number of skew morphism classes of C1178 is 79
Total number of automorphisms of C1178 is 540
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1178
      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 1178
      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 4
      
      of order 5
      with kernel of order 1178
      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
    
    
  4. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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 9
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    
  6. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    
  7. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 1178
      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
    
    
  8. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  9. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  10. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 45
      φ | √φ | φ' | φ45
    
    
  11. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1178
      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
    
    
  13. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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 6
      
      of order 9
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    
  15. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1178
      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
    
    
  16. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  17. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  18. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 45
      φ | √φ | φ' | φ45
    
    
  19. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  20. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    
  21. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  22. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 45
      φ | √φ | φ' | φ45
    
    
  23. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  24. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  25. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  26. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  27. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  28. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  29. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  30. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1178
      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 1178
      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 1178
      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 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  34. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  35. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  36. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  37. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  38. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  39. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1178
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 90
      φ | √φ | φ' | φ90
    
    
  40. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1178
      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
    
    
  41. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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 8
      
      of order 15
      with kernel of order 1178
      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
    
    
  43. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  44. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1178
      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
    
    
  45. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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 8
      
      of order 15
      with kernel of order 1178
      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
    
    
  47. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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 6
      with kernel of order 1178
      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
    
    
  49. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  50. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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
    
    
  51. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  52. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1178
      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
    
    
  53. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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
    
    
  54. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 1178
      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
    
    
  55. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  56. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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
    
    
  57. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  58. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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
    
    
  59. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  60. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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
    
    
  61. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  62. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1178
      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
    
    
  63. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1178
      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
    
    
  64. Skew morphsim class of size 18
      
      of order 19
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 18 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  65. Skew morphsim class of size 30
      
      of order 31
      with kernel of order 589
      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>
    
    
  66. Skew morphsim class of size 540
      
      of order 589
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 588 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  67. Skew morphsim class of size 36
      
      of order 57
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  68. Skew morphsim class of size 72
      
      of order 95
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 56 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  69. Skew morphsim class of size 144
      
      of order 285
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 151 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  70. Skew morphsim class of size 18
      
      of order 38
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  71. Skew morphsim class of size 36
      
      of order 114
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  72. Skew morphsim class of size 72
      
      of order 190
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 151 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  73. Skew morphsim class of size 144
      
      of order 570
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 151 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  74. Skew morphsim class of size 30
      
      of order 62
      with kernel of order 589
      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>
    
    
  75. Skew morphsim class of size 60
      
      of order 93
      with kernel of order 589
      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>
    
    
  76. Skew morphsim class of size 60
      
      of order 186
      with kernel of order 589
      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>
    
    
  77. Skew morphsim class of size 180
      
      of order 279
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 154 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  78. Skew morphsim class of size 180
      
      of order 558
      with kernel of order 589
      and smallest kernel generator 2
      and power function values [ 1, 433 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>