n = 220 = 22·5·11

Number of selected skew morphism classes of C220 is 0
Total number of skew morphisms of C220 is 512
Total number of skew morphism classes of C220 is 43
Total number of automorphisms of C220 is 80
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 220
      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 4
      
      of order 5
      with kernel of order 220
      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
    
    
  3. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 220
      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
    
    
  4. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 220
      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
    
    
  5. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 220
      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
    
    
  6. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 220
      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
    
    
  7. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 220
      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
    
    
  8. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 220
      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
    
    
  9. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 220
      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
    
    
  10. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 220
      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
    
    
  11. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 220
      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
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 220
      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
    
    
  13. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 220
      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 1
      
      of order 2
      with kernel of order 220
      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
    
    
  15. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 220
      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
    
    
  16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 220
      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
    
    
  17. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 220
      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
    
    
  18. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 220
      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
    
    
  19. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 220
      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
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 220
      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 4
      
      of order 10
      with kernel of order 220
      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
    
    
  22. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 220
      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
    
    
  23. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 220
      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 5
      with kernel of order 110
      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>
    
    
  25. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 110
      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>
    
    
  26. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  27. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  28. Skew morphsim class of size 40
      
      of order 55
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 54 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  29. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 109 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  30. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  31. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  32. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  33. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 110
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  34. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 110
      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>
    
    
  35. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 110
      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>
    
    
  36. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 55
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  37. Skew morphsim class of size 80
      
      of order 55
      with kernel of order 55
      and smallest kernel generator 4
      and power function values [ 1, 32, 34, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  38. Skew morphsim class of size 8
      
      of order 10
      with kernel of order 55
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  39. Skew morphsim class of size 40
      
      of order 11
      with kernel of order 44
      and smallest kernel generator 5
      and power function values [ 1, 3, 9, 5, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  40. Skew morphsim class of size 40
      
      of order 22
      with kernel of order 44
      and smallest kernel generator 5
      and power function values [ 1, 3, 9, 5, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  41. Skew morphsim class of size 40
      
      of order 11
      with kernel of order 22
      and smallest kernel generator 10
      and power function values [ 1, 2, 4, 8, 5, 10, 9, 7, 3, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    
  42. Skew morphsim class of size 40
      
      of order 22
      with kernel of order 22
      and smallest kernel generator 10
      and power function values [ 1, 7, 5, 13, 3, 21, 15, 17, 9, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>