Number of selected skew morphism classes of C111 is 0
Total number of skew morphisms of C111 is 144
Total number of skew morphism classes of C111 is 19
Total number of automorphisms of C111 is 72

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 111
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 111
     φ | √φ | φ' | φ|<111>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 111
     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 111
     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 111
     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 111
     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 111
     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 2
     
     of order 4
     with kernel of order 111
     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
   
   

8. Skew morphsim class of size 4
     
     of order 12
     with kernel of order 111
     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 12
     
     of order 36
     with kernel of order 111
     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
   
   

10. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 111
      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
    
    

11. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 111
      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
    
    

12. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 111
      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
    
    

13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 111
      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 1
      
      of order 2
      with kernel of order 111
      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 111
      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 111
      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 111
      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 111
      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 72
      
      of order 37
      with kernel of order 37
      and smallest kernel generator 3
      and power function values [ 1, 10, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>