n = 108 = 22·33

Number of selected skew morphism classes of C108 is 0
Total number of skew morphisms of C108 is 528
Total number of skew morphism classes of C108 is 32
Total number of automorphisms of C108 is 36
  1. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 108
      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
    
    
  2. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 108
      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
    
    
  3. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 108
      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
    
    
  4. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 108
      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 18
      with kernel of order 108
      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
    
    
  6. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 108
      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
    
    
  7. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 108
      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
    
    
  8. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 108
      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 1
      
      of order 2
      with kernel of order 108
      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 6
      with kernel of order 108
      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
    
    
  11. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 108
      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
    
    
  12. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 54
      and smallest kernel generator 2
      and power function values [ 1, 2 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  13. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 54
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  14. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 54
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  15. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 54
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  16. Skew morphsim class of size 18
      
      of order 27
      with kernel of order 54
      and smallest kernel generator 2
      and power function values [ 1, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  17. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 54
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  18. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 36
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  19. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 36
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  20. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 18
      and smallest kernel generator 6
      and power function values [ 1, 2, 4, 8, 7, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  21. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 18
      and smallest kernel generator 6
      and power function values [ 1, 5, 7, 17, 13, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  22. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 36
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  23. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 36
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  24. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 36
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  25. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 36
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  26. Skew morphsim class of size 36
      
      of order 27
      with kernel of order 18
      and smallest kernel generator 6
      and power function values [ 1, 8, 19, 17, 10, 26 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  27. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 18
      and smallest kernel generator 6
      and power function values [ 1, 17, 37, 35, 19, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  28. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 12
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  29. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 12
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  30. Skew morphsim class of size 108
      
      of order 27
      with kernel of order 6
      and smallest kernel generator 18
      and power function values [ 1, 2, 16, 14, 13, 17, 19, 11, 7, 23, 4, 26, 10, 20, 25, 5, 22, 8 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  31. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 6
      and smallest kernel generator 18
      and power function values [ 1, 11, 7, 5, 49, 17, 19, 47, 25, 41, 13, 53, 37, 29, 43, 23, 31, 35 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>