Number of selected skew morphism classes of C_712 is 0
Total number of skew morphisms of C_712 is 1628
Total number of skew morphism classes of C_712 is 44
Total number of automorphisms of C_712 is 352

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 10 #
     
     of order 11 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 40 #
     
     of order 88 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 20 #
     
     of order 44 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 2 #
     
     of order 4 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 10 #
     
     of order 22 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 4 #
     
     of order 8 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 10 #
     
     of order 22 √
     with kernel of order 712
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 40 #
      
      of order 88 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 20 #
      
      of order 44 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 10 #
      
      of order 22 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 10 #
      
      of order 22 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 40 #
      
      of order 88 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 20 #
      
      of order 44 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

22. Skew morphsim class of size 10 #
      
      of order 22 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

24. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 10 #
      
      of order 22 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 40 #
      
      of order 88 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 20 #
      
      of order 44 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

28. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

29. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

30. Skew morphsim class of size 10 #
      
      of order 22 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

31. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

32. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 712
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

33. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 3 ] #
      and with periodicity 1
    
    

34. Skew morphsim class of size 88 #
      
      of order 89 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 88 ] #
      and with periodicity 1
    
    

35. Skew morphsim class of size 88 #
      
      of order 178 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 177 ] #
      and with periodicity 1
    
    

36. Skew morphsim class of size 176 #
      
      of order 356 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 355 ] #
      and with periodicity 1
    
    

37. Skew morphsim class of size 20 #
      
      of order 44 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 23 ] #
      and with periodicity 1
    
    

38. Skew morphsim class of size 20 #
      
      of order 44 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 23 ] #
      and with periodicity 1
    
    

39. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 3 ] #
      and with periodicity 1
    
    

40. Skew morphsim class of size 88 #
      
      of order 178 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 177 ] #
      and with periodicity 1
    
    

41. Skew morphsim class of size 88 #
      
      of order 178 √
      with kernel of order 356
      and smallest kernel generator 2
      and power function values [ 1, 177 ] #
      and with periodicity 1
    
    

42. Skew morphsim class of size 176 #
      
      of order 89 √
      with kernel of order 178
      and smallest kernel generator 4
      and power function values [ 1, 34, 88, 55 ] #
      and with periodicity 1
    
    

43. Skew morphsim class of size 176 #
      
      of order 178 √
      with kernel of order 178
      and smallest kernel generator 4
      and power function values [ 1, 123, 177, 55 ] #
      and with periodicity 1
    
    

44. Skew morphsim class of size 352 #
      
      of order 89 √
      with kernel of order 89
      and smallest kernel generator 8
      and power function values [ 1, 37, 34, 12, 88, 52, 55, 77 ] #
      and with periodicity 1