Number of selected skew morphism classes of C84 is 0
Total number of skew morphisms of C84 is 128
Total number of skew morphism classes of C84 is 30
Total number of automorphisms of C84 is 24

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 84
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 84
     φ | √φ | φ' | φ|<84>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 84
     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 84
     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 84
     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 84
     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 84
     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 84
     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 84
     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 1
     
     of order 2
     with kernel of order 84
     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 84
      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 1
      
      of order 2
      with kernel of order 84
      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
    
    

12. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 84
      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
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 84
      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
    
    

14. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 84
      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
    
    

15. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 84
      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
    
    

16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 84
      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
    
    

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

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

19. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 42
      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>
    
    

20. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 42
      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>
    
    

21. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 42
      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>
    
    

22. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 42
      and smallest kernel generator 2
      and power function values [ 1, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

23. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 42
      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>
    
    

24. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 42
      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>
    
    

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

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

27. Skew morphsim class of size 12
      
      of order 7
      with kernel of order 28
      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>
    
    

28. Skew morphsim class of size 12
      
      of order 14
      with kernel of order 28
      and smallest kernel generator 3
      and power function values [ 1, 9, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

29. Skew morphsim class of size 12
      
      of order 7
      with kernel of order 14
      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>
    
    

30. Skew morphsim class of size 12
      
      of order 14
      with kernel of order 14
      and smallest kernel generator 6
      and power function values [ 1, 3, 9, 13, 11, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>