Number of selected skew morphism classes of C42 is 0
Total number of skew morphisms of C42 is 64
Total number of skew morphism classes of C42 is 15
Total number of automorphisms of C42 is 12

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 42
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 42
     φ | √φ | φ' | φ|<42>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 42
     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
   
   

3. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 42
     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
   
   

4. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 42
     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 1
     
     of order 2
     with kernel of order 42
     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 2
     
     of order 6
     with kernel of order 42
     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
   
   

7. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 42
     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
   
   

8. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 42
     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
   
   

9. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 21
     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>
   
   

10. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 21
      and smallest kernel generator 2
      and power function values [ 1, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

11. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 21
      and smallest kernel generator 2
      and power function values [ 1, 20 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

12. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 21
      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>
    
    

13. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 21
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

14. Skew morphsim class of size 12
      
      of order 7
      with kernel of order 14
      and smallest kernel generator 3
      and power function values [ 1, 2, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

15. Skew morphsim class of size 12
      
      of order 7
      with kernel of order 7
      and smallest kernel generator 6
      and power function values [ 1, 3, 2, 6, 4, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>