Number of selected skew morphism classes of C156 is 0
Total number of skew morphisms of C156 is 400
Total number of skew morphism classes of C156 is 44
Total number of automorphisms of C156 is 48

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 156
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 156
     φ | √φ | φ' | φ|<156>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 156
     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 156
     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 4
     with kernel of order 156
     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
   
   

5. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 156
     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
   
   

6. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 156
     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
   
   

7. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 156
     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 4
     with kernel of order 156
     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
   
   

9. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 156
     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
   
   

10. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 156
      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 156
      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 156
      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 156
      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 4
      with kernel of order 156
      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
    
    

15. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 156
      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
    
    

16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 156
      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 156
      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 156
      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 156
      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 4
      with kernel of order 156
      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
    
    

21. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 156
      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
    
    

22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 156
      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 156
      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 156
      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 3
      with kernel of order 78
      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>
    
    

26. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 78
      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 13
      with kernel of order 78
      and smallest kernel generator 2
      and power function values [ 1, 12 ]
      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 26
      with kernel of order 78
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

29. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 78
      and smallest kernel generator 2
      and power function values [ 1, 38 ]
      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 78
      with kernel of order 78
      and smallest kernel generator 2
      and power function values [ 1, 77 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 78
      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>
    
    

32. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 78
      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>
    
    

33. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 78
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 78
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      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 78
      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>
    
    

36. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 78
      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>
    
    

37. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 52
      and smallest kernel generator 3
      and power function values [ 1, 3, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

38. Skew morphsim class of size 24
      
      of order 26
      with kernel of order 52
      and smallest kernel generator 3
      and power function values [ 1, 3, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

39. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 39
      and smallest kernel generator 4
      and power function values [ 1, 5, 12, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

40. Skew morphsim class of size 48
      
      of order 39
      with kernel of order 39
      and smallest kernel generator 4
      and power function values [ 1, 5, 25, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

41. Skew morphsim class of size 24
      
      of order 26
      with kernel of order 39
      and smallest kernel generator 4
      and power function values [ 1, 5, 25, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

42. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 26
      and smallest kernel generator 6
      and power function values [ 1, 4, 3, 12, 9, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

43. Skew morphsim class of size 24
      
      of order 26
      with kernel of order 26
      and smallest kernel generator 6
      and power function values [ 1, 17, 3, 25, 9, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

44. Skew morphsim class of size 48
      
      of order 13
      with kernel of order 13
      and smallest kernel generator 12
      and power function values [ 1, 2, 4, 8, 3, 6, 12, 11, 9, 5, 10, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 12
      φ | √φ | φ' | φ|<12>