Number of selected skew morphism classes of C1239 is 0
Total number of skew morphisms of C1239 is 1392
Total number of skew morphism classes of C1239 is 36
Total number of automorphisms of C1239 is 696

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1239
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1239
     φ | √φ | φ' | φ|<1239>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1239
     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 1239
     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 1239
     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 28
     
     of order 29
     with kernel of order 1239
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 29
     φ | √φ | φ' | φ29
   
   

6. Skew morphsim class of size 28
     
     of order 58
     with kernel of order 1239
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 58
     φ | √φ | φ' | φ58
   
   

7. Skew morphsim class of size 56
     
     of order 87
     with kernel of order 1239
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 87
     φ | √φ | φ' | φ87
   
   

8. Skew morphsim class of size 56
     
     of order 174
     with kernel of order 1239
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 174
     φ | √φ | φ' | φ174
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1239
     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 1239
      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 28
      
      of order 58
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 58
      φ | √φ | φ' | φ58
    
    

12. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 174
      φ | √φ | φ' | φ174
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1239
      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 1239
      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 28
      
      of order 58
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 58
      φ | √φ | φ' | φ58
    
    

16. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 174
      φ | √φ | φ' | φ174
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1239
      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 2
      
      of order 6
      with kernel of order 1239
      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
    
    

19. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 58
      φ | √φ | φ' | φ58
    
    

20. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 174
      φ | √φ | φ' | φ174
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1239
      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
    
    

22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1239
      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
    
    

23. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 58
      φ | √φ | φ' | φ58
    
    

24. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 174
      φ | √φ | φ' | φ174
    
    

25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1239
      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
    
    

26. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1239
      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
    
    

27. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 58
      φ | √φ | φ' | φ58
    
    

28. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 174
      φ | √φ | φ' | φ174
    
    

29. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1239
      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
    
    

30. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1239
      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
    
    

31. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 58
      φ | √φ | φ' | φ58
    
    

32. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 1239
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 174
      φ | √φ | φ' | φ174
    
    

33. Skew morphsim class of size 12
      
      of order 7
      with kernel of order 413
      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>
    
    

34. Skew morphsim class of size 336
      
      of order 203
      with kernel of order 413
      and smallest kernel generator 3
      and power function values [ 1, 30, 88 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

35. Skew morphsim class of size 12
      
      of order 14
      with kernel of order 413
      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>
    
    

36. Skew morphsim class of size 336
      
      of order 406
      with kernel of order 413
      and smallest kernel generator 3
      and power function values [ 1, 233, 291 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>