Number of selected skew morphism classes of C243 is 0
Total number of skew morphisms of C243 is 6562
Total number of skew morphism classes of C243 is 26
Total number of automorphisms of C243 is 162

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 243
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 243
     φ | √φ | φ' | φ|<243>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 243
     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 243
     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 243
     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 6
     
     of order 9
     with kernel of order 243
     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
   
   

6. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 243
     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
   
   

7. Skew morphsim class of size 18
     
     of order 27
     with kernel of order 243
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 27
     φ | √φ | φ' | φ27
   
   

8. Skew morphsim class of size 18
     
     of order 54
     with kernel of order 243
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 54
     φ | √φ | φ' | φ54
   
   

9. Skew morphsim class of size 54
     
     of order 81
     with kernel of order 243
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 81
     φ | √φ | φ' | φ81
   
   

10. Skew morphsim class of size 54
      
      of order 162
      with kernel of order 243
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 162
      φ | √φ | φ' | φ162
    
    

11. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 81
      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>
    
    

12. Skew morphsim class of size 36
      
      of order 27
      with kernel of order 81
      and smallest kernel generator 3
      and power function values [ 1, 10, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

13. Skew morphsim class of size 108
      
      of order 81
      with kernel of order 81
      and smallest kernel generator 3
      and power function values [ 1, 28, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

14. Skew morphsim class of size 108
      
      of order 27
      with kernel of order 27
      and smallest kernel generator 9
      and power function values [ 1, 4, 16, 10, 13, 25, 19, 22, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 9
      φ | √φ | φ' | φ|<9>
    
    

15. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 81
      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
    
    

16. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 81
      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
    
    

17. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 27
      and smallest kernel generator 9
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

18. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 81
      and smallest kernel generator 3
      and power function values [ 1, 19, 37 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

19. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 27
      and smallest kernel generator 9
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

20. Skew morphsim class of size 324
      
      of order 81
      with kernel of order 27
      and smallest kernel generator 9
      and power function values [ 1, 10, 19, 28, 37, 46, 55, 64, 73 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

21. Skew morphsim class of size 108
      
      of order 162
      with kernel of order 81
      and smallest kernel generator 3
      and power function values [ 1, 55, 109 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

22. Skew morphsim class of size 324
      
      of order 162
      with kernel of order 27
      and smallest kernel generator 9
      and power function values [ 1, 19, 37, 55, 73, 91, 109, 127, 145 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

23. Skew morphsim class of size 972
      
      of order 81
      with kernel of order 9
      and smallest kernel generator 27
      and power function values [ 1, 4, 16, 64, 13, 52, 46, 22, 7, 28, 31, 43, 10, 40, 79, 73, 49, 34, 55, 58, 70, 37, 67, 25, 19, 76, 61 ]
      and with periodicity 9
      and with complexity 4
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

24. Skew morphsim class of size 324
      
      of order 54
      with kernel of order 9
      and smallest kernel generator 27
      and power function values [ 1, 3, 23, 7, 9, 29, 13, 15, 35, 19, 21, 41, 25, 27, 47, 31, 33, 53, 37, 39, 5, 43, 45, 11, 49, 51, 17 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

25. Skew morphsim class of size 972
      
      of order 162
      with kernel of order 9
      and smallest kernel generator 27
      and power function values [ 1, 7, 121, 19, 25, 139, 37, 43, 157, 55, 61, 13, 73, 79, 31, 91, 97, 49, 109, 115, 67, 127, 133, 85, 145, 151, 103 ]
      and with periodicity 18
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

26. Skew morphsim class of size 2916
      
      of order 162
      with kernel of order 3
      and smallest kernel generator 81
      and power function values [ 1, 3, 83, 79, 45, 89, 49, 141, 149, 73, 129, 101, 151, 9, 107, 121, 105, 5, 145, 93, 119, 61, 135, 125, 31, 69, 23, 55, 57, 137, 133, 99, 143, 103, 33, 41, 127, 21, 155, 43, 63, 161, 13, 159, 59, 37, 147, 11, 115, 27, 17, 85, 123, 77, 109, 111, 29, 25, 153, 35, 157, 87, 95, 19, 75, 47, 97, 117, 53, 67, 51, 113, 91, 39, 65, 7, 81, 71, 139, 15, 131 ]
      and with periodicity 54
      and with complexity 9
      and with auto-order 2
      φ | √φ | φ' | φ2