n = 1066 = 2·13·41

Number of selected skew morphism classes of C1066 is 0
Total number of skew morphisms of C1066 is 1920
Total number of skew morphism classes of C1066 is 71
Total number of automorphisms of C1066 is 480
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1066
      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 1066
      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 1066
      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 4
      
      of order 5
      with kernel of order 1066
      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
    
    
  5. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1066
      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 4
      
      of order 8
      with kernel of order 1066
      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
    
    
  7. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1066
      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
    
    
  8. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1066
      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
    
    
  9. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 1066
      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
    
    
  10. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1066
      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
    
    
  11. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1066
      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
    
    
  12. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1066
      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
    
    
  13. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    
  14. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 1066
      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
    
    
  15. Skew morphsim class of size 32
      
      of order 120
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 120
      φ | √φ | φ' | φ120
    
    
  16. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1066
      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
    
    
  17. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1066
      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
    
    
  18. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    
  19. Skew morphsim class of size 32
      
      of order 120
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 120
      φ | √φ | φ' | φ120
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1066
      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
    
    
  21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1066
      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
    
    
  22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1066
      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
    
    
  23. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1066
      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
    
    
  24. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1066
      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
    
    
  25. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1066
      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
    
    
  26. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1066
      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
    
    
  27. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 1066
      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 1066
      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 4
      with kernel of order 1066
      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
    
    
  30. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1066
      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
    
    
  31. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1066
      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
    
    
  32. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1066
      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
    
    
  33. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1066
      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
    
    
  34. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1066
      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 16
      
      of order 60
      with kernel of order 1066
      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
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  37. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    
  38. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1066
      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
    
    
  39. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 1066
      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
    
    
  40. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1066
      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
    
    
  41. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1066
      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
    
    
  42. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1066
      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
    
    
  43. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 1066
      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
    
    
  44. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1066
      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
    
    
  45. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1066
      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
    
    
  46. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1066
      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
    
    
  47. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1066
      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
    
    
  48. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1066
      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
    
    
  49. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    
  50. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 1066
      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
    
    
  51. Skew morphsim class of size 32
      
      of order 120
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 120
      φ | √φ | φ' | φ120
    
    
  52. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1066
      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
    
    
  53. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 40
      φ | √φ | φ' | φ40
    
    
  54. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1066
      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
    
    
  55. Skew morphsim class of size 32
      
      of order 120
      with kernel of order 1066
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 120
      φ | √φ | φ' | φ120
    
    
  56. Skew morphsim class of size 12
      
      of order 13
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 12 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 40
      
      of order 41
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 40 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 480
      
      of order 533
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 532 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  61. Skew morphsim class of size 48
      
      of order 65
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 51 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  62. Skew morphsim class of size 48
      
      of order 104
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  63. Skew morphsim class of size 48
      
      of order 130
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 51 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 96
      
      of order 260
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 181 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  65. Skew morphsim class of size 192
      
      of order 520
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 441 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  66. Skew morphsim class of size 80
      
      of order 123
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 40 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  67. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  68. Skew morphsim class of size 80
      
      of order 164
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  69. Skew morphsim class of size 80
      
      of order 246
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 163 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  70. Skew morphsim class of size 160
      
      of order 492
      with kernel of order 533
      and smallest kernel generator 2
      and power function values [ 1, 409 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>