n = 90 = 2·32·5

Number of selected skew morphism classes of C90 is 0
Total number of skew morphisms of C90 is 240
Total number of skew morphism classes of C90 is 32
Total number of automorphisms of C90 is 24
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 90
      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 90
      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 90
      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 90
      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 12
      with kernel of order 90
      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
    
    
  6. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 90
      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 90
      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 1
      
      of order 2
      with kernel of order 90
      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
    
    
  9. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 90
      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
    
    
  10. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 90
      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 4
      
      of order 12
      with kernel of order 90
      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
    
    
  12. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 45
      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 4
      
      of order 5
      with kernel of order 45
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      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 45
      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 8
      
      of order 15
      with kernel of order 45
      and smallest kernel generator 2
      and power function values [ 1, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  16. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 45
      and smallest kernel generator 2
      and power function values [ 1, 44 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  17. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 45
      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>
    
    
  18. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 45
      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>
    
    
  19. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 45
      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>
    
    
  20. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 45
      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>
    
    
  21. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 45
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  22. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 45
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  23. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 45
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  24. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 30
      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
    
    
  25. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 30
      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
    
    
  26. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 30
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  27. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 15
      and smallest kernel generator 6
      and power function values [ 1, 9, 11, 19, 21, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  28. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 15
      and smallest kernel generator 6
      and power function values [ 1, 2, 7, 5, 4, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  29. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 15
      and smallest kernel generator 6
      and power function values [ 1, 14, 31, 29, 16, 44 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  30. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 15
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  31. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 15
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 29, 25, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>