Number of selected skew morphism classes of C135 is 0
Total number of skew morphisms of C135 is 328
Total number of skew morphism classes of C135 is 30
Total number of automorphisms of C135 is 72

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 135
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 135
     φ | √φ | φ' | φ|<135>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 135
     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 135
     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 2
     
     of order 3
     with kernel of order 135
     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
   
   

5. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 135
     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
   
   

6. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 135
     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
   
   

7. Skew morphsim class of size 6
     
     of order 9
     with kernel of order 135
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 9
     φ | √φ | φ' | φ9
   
   

8. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 135
     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 6
     
     of order 18
     with kernel of order 135
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 18
     φ | √φ | φ' | φ18
   
   

10. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 135
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    

11. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 135
      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 135
      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 6
      
      of order 18
      with kernel of order 135
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

14. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 135
      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
    
    

15. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 135
      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
    
    

16. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 135
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

17. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 135
      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
    
    

18. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 135
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    

19. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

20. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

21. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

22. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

23. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

24. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

25. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

26. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

27. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 45
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

28. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 15
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

29. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 15
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

30. Skew morphsim class of size 72
      
      of order 36
      with kernel of order 15
      and smallest kernel generator 9
      and power function values [ 1, 9, 5, 25, 33, 29, 13, 21, 17 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2