n = 20 = 22·5

Number of selected skew morphism classes of C20 is 0
Total number of skew morphisms of C20 is 24
Total number of skew morphism classes of C20 is 9
Total number of automorphisms of C20 is 8
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 20
      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 4
      with kernel of order 20
      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
    
    
  3. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 20
      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 4
      with kernel of order 20
      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
    
    
  5. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 20
      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
    
    
  6. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 10
      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>
    
    
  7. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 10
      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>
    
    
  8. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 5
      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>