Number of selected skew morphism classes of C112 is 0
Total number of skew morphisms of C112 is 240
Total number of skew morphism classes of C112 is 50
Total number of automorphisms of C112 is 48

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 112
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 112
     φ | √φ | φ' | φ|<112>
   
   

2. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 112
     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
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 112
     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
   
   

4. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 112
     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 112
     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 4
     with kernel of order 112
     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
   
   

7. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 112
     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
   
   

8. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 112
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 12
     φ | √φ | φ' | φ12
   
   

9. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 112
     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
   
   

10. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 112
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

11. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 112
      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
    
    

12. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 112
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 112
      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
    
    

14. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 112
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

15. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 112
      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 112
      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 1
      
      of order 2
      with kernel of order 112
      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 112
      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 1
      
      of order 2
      with kernel of order 112
      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
    
    

20. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 112
      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
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 112
      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 112
      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 1
      
      of order 2
      with kernel of order 112
      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
    
    

24. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 112
      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
    
    

25. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

26. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 56
      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>
    
    

27. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

28. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 56
      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>
    
    

29. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      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 56
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

37. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 56
      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>
    
    

40. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

44. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 56
      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>
    
    

45. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

46. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

47. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

48. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 56
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

49. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 56
      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>
    
    

50. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 56
      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>