n = 1558 = 2·19·41

Number of selected skew morphism classes of C1558 is 0
Total number of skew morphisms of C1558 is 2880
Total number of skew morphism classes of C1558 is 63
Total number of automorphisms of C1558 is 720
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1558
      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 1558
      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 1558
      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 1558
      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 8
      with kernel of order 1558
      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
    
    
  6. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 1558
      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
    
    
  7. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1558
      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
    
    
  8. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1558
      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 24
      with kernel of order 1558
      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
    
    
  10. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  11. Skew morphsim class of size 24
      
      of order 72
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 72
      φ | √φ | φ' | φ72
    
    
  12. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 1558
      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
    
    
  13. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1558
      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
    
    
  14. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 1558
      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
    
    
  15. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1558
      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 1558
      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 40
      with kernel of order 1558
      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
    
    
  18. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 1558
      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 16
      
      of order 60
      with kernel of order 1558
      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 24
      
      of order 90
      with kernel of order 1558
      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
    
    
  21. Skew morphsim class of size 32
      
      of order 120
      with kernel of order 1558
      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
    
    
  22. Skew morphsim class of size 48
      
      of order 180
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 180
      φ | √φ | φ' | φ180
    
    
  23. Skew morphsim class of size 96
      
      of order 360
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 360
      φ | √φ | φ' | φ360
    
    
  24. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1558
      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 1558
      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 36
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  27. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1558
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1558
      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
    
    
  29. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1558
      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 6
      
      of order 18
      with kernel of order 1558
      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
    
    
  31. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1558
      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
    
    
  32. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1558
      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
    
    
  33. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1558
      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 16
      
      of order 60
      with kernel of order 1558
      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
    
    
  35. Skew morphsim class of size 48
      
      of order 180
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 180
      φ | √φ | φ' | φ180
    
    
  36. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1558
      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 1558
      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 1558
      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 6
      
      of order 18
      with kernel of order 1558
      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
    
    
  40. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1558
      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
    
    
  41. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 1558
      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
    
    
  42. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1558
      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
    
    
  43. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1558
      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
    
    
  44. Skew morphsim class of size 24
      
      of order 72
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 72
      φ | √φ | φ' | φ72
    
    
  45. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 1558
      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
    
    
  46. Skew morphsim class of size 32
      
      of order 120
      with kernel of order 1558
      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
    
    
  47. Skew morphsim class of size 96
      
      of order 360
      with kernel of order 1558
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 360
      φ | √φ | φ' | φ360
    
    
  48. Skew morphsim class of size 18
      
      of order 19
      with kernel of order 779
      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>
    
    
  49. Skew morphsim class of size 40
      
      of order 41
      with kernel of order 779
      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>
    
    
  50. Skew morphsim class of size 720
      
      of order 779
      with kernel of order 779
      and smallest kernel generator 2
      and power function values [ 1, 778 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 18
      
      of order 38
      with kernel of order 779
      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>
    
    
  52. Skew morphsim class of size 36
      
      of order 76
      with kernel of order 779
      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>
    
    
  53. Skew morphsim class of size 72
      
      of order 95
      with kernel of order 779
      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>
    
    
  54. Skew morphsim class of size 72
      
      of order 152
      with kernel of order 779
      and smallest kernel generator 2
      and power function values [ 1, 113 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 72
      
      of order 190
      with kernel of order 779
      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>
    
    
  56. Skew morphsim class of size 144
      
      of order 380
      with kernel of order 779
      and smallest kernel generator 2
      and power function values [ 1, 341 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 288
      
      of order 760
      with kernel of order 779
      and smallest kernel generator 2
      and power function values [ 1, 721 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 80
      
      of order 123
      with kernel of order 779
      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>
    
    
  59. Skew morphsim class of size 240
      
      of order 369
      with kernel of order 779
      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>
    
    
  60. Skew morphsim class of size 40
      
      of order 82
      with kernel of order 779
      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>
    
    
  61. Skew morphsim class of size 80
      
      of order 246
      with kernel of order 779
      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>
    
    
  62. Skew morphsim class of size 240
      
      of order 738
      with kernel of order 779
      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>