n = 555 = 3·5·37

Number of selected skew morphism classes of C555 is 0
Total number of skew morphisms of C555 is 576
Total number of skew morphism classes of C555 is 63
Total number of automorphisms of C555 is 288
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 555
      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 555
      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 555
      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 555
      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 555
      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 12
      with kernel of order 555
      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 18
      with kernel of order 555
      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
    
    
  8. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  9. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 555
      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
    
    
  10. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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
    
    
  11. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 555
      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
    
    
  12. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  13. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 555
      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
    
    
  14. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  15. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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
    
    
  16. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  17. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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
    
    
  18. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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 12
      
      of order 36
      with kernel of order 555
      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
    
    
  20. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 555
      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
    
    
  22. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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 2
      
      of order 6
      with kernel of order 555
      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
    
    
  24. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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 6
      
      of order 18
      with kernel of order 555
      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
    
    
  26. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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 2
      
      of order 4
      with kernel of order 555
      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
    
    
  28. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  29. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  30. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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
    
    
  31. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  32. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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
    
    
  34. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  35. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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 555
      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 2
      
      of order 4
      with kernel of order 555
      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
    
    
  39. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  40. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  41. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  42. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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
    
    
  43. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  44. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  45. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 555
      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
    
    
  46. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 555
      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 6
      
      of order 18
      with kernel of order 555
      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
    
    
  48. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 555
      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
    
    
  49. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 555
      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
    
    
  50. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 555
      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
    
    
  51. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 555
      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
    
    
  52. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 555
      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
    
    
  53. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 555
      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
    
    
  54. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 555
      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
    
    
  55. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 555
      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
    
    
  56. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 555
      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
    
    
  57. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 555
      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
    
    
  58. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 555
      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 6
      
      of order 18
      with kernel of order 555
      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
    
    
  60. Skew morphsim class of size 72
      
      of order 37
      with kernel of order 185
      and smallest kernel generator 3
      and power function values [ 1, 10, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  61. Skew morphsim class of size 72
      
      of order 74
      with kernel of order 185
      and smallest kernel generator 3
      and power function values [ 1, 47, 63 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  62. Skew morphsim class of size 144
      
      of order 148
      with kernel of order 185
      and smallest kernel generator 3
      and power function values [ 1, 121, 137 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>