Number of selected skew morphism classes of C678 is 0
Total number of skew morphisms of C678 is 896
Total number of skew morphism classes of C678 is 33
Total number of automorphisms of C678 is 224

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 678
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 678
     φ | √φ | φ' | φ|<678>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 678
     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 4
     with kernel of order 678
     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 6
     
     of order 7
     with kernel of order 678
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 7
     φ | √φ | φ' | φ7
   
   

5. Skew morphsim class of size 4
     
     of order 8
     with kernel of order 678
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 8
     φ | √φ | φ' | φ8
   
   

6. Skew morphsim class of size 6
     
     of order 14
     with kernel of order 678
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 14
     φ | √φ | φ' | φ14
   
   

7. Skew morphsim class of size 8
     
     of order 16
     with kernel of order 678
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 16
     φ | √φ | φ' | φ16
   
   

8. Skew morphsim class of size 12
     
     of order 28
     with kernel of order 678
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 28
     φ | √φ | φ' | φ28
   
   

9. Skew morphsim class of size 24
     
     of order 56
     with kernel of order 678
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 56
     φ | √φ | φ' | φ56
   
   

10. Skew morphsim class of size 48
      
      of order 112
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 112
      φ | √φ | φ' | φ112
    
    

11. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    

12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 678
      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 6
      
      of order 14
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

14. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 56
      φ | √φ | φ' | φ56
    
    

15. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 678
      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
    
    

16. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 678
      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
    
    

18. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

19. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    

20. Skew morphsim class of size 48
      
      of order 112
      with kernel of order 678
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 112
      φ | √φ | φ' | φ112
    
    

21. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 339
      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>
    
    

22. Skew morphsim class of size 112
      
      of order 113
      with kernel of order 339
      and smallest kernel generator 2
      and power function values [ 1, 112 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

23. Skew morphsim class of size 224
      
      of order 339
      with kernel of order 339
      and smallest kernel generator 2
      and power function values [ 1, 338 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

24. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 339
      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>
    
    

25. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 339
      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 12
      
      of order 21
      with kernel of order 339
      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>
    
    

27. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 339
      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>
    
    

28. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 339
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

29. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 339
      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>
    
    

30. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 339
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 339
      and smallest kernel generator 2
      and power function values [ 1, 113 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 96
      
      of order 336
      with kernel of order 339
      and smallest kernel generator 2
      and power function values [ 1, 113 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 112
      
      of order 226
      with kernel of order 339
      and smallest kernel generator 2
      and power function values [ 1, 225 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>