Number of selected skew morphism classes of C1123 is 0
Total number of skew morphisms of C1123 is 1122
Total number of skew morphism classes of C1123 is 16
Total number of automorphisms of C1123 is 1122

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1123
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1123
     φ | √φ | φ' | φ|<1123>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1123
     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 1123
     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 1123
     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 10
     
     of order 11
     with kernel of order 1123
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 11
     φ | √φ | φ' | φ11
   
   

6. Skew morphsim class of size 16
     
     of order 17
     with kernel of order 1123
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 17
     φ | √φ | φ' | φ17
   
   

7. Skew morphsim class of size 10
     
     of order 22
     with kernel of order 1123
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 22
     φ | √φ | φ' | φ22
   
   

8. Skew morphsim class of size 20
     
     of order 33
     with kernel of order 1123
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 33
     φ | √φ | φ' | φ33
   
   

9. Skew morphsim class of size 16
     
     of order 34
     with kernel of order 1123
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 34
     φ | √φ | φ' | φ34
   
   

10. Skew morphsim class of size 32
      
      of order 51
      with kernel of order 1123
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 51
      φ | √φ | φ' | φ51
    
    

11. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 1123
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    

12. Skew morphsim class of size 32
      
      of order 102
      with kernel of order 1123
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 102
      φ | √φ | φ' | φ102
    
    

13. Skew morphsim class of size 160
      
      of order 187
      with kernel of order 1123
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 187
      φ | √φ | φ' | φ187
    
    

14. Skew morphsim class of size 160
      
      of order 374
      with kernel of order 1123
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 374
      φ | √φ | φ' | φ374
    
    

15. Skew morphsim class of size 320
      
      of order 561
      with kernel of order 1123
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 561
      φ | √φ | φ' | φ561
    
    

16. Skew morphsim class of size 320
      
      of order 1122
      with kernel of order 1123
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 1122
      φ | √φ | φ' | φ1122