Number of selected skew morphism classes of C423 is 0
Total number of skew morphisms of C423 is 460
Total number of skew morphism classes of C423 is 20
Total number of automorphisms of C423 is 276

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 423
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 423
     φ | √φ | φ' | φ|<423>
   
   

2. Skew morphsim class of size 22
     
     of order 23
     with kernel of order 423
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 23
     φ | √φ | φ' | φ23
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 423
     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
   
   

4. Skew morphsim class of size 22
     
     of order 46
     with kernel of order 423
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 46
     φ | √φ | φ' | φ46
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 423
     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
   
   

6. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 423
     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
   
   

7. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 423
     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
   
   

8. Skew morphsim class of size 22
     
     of order 46
     with kernel of order 423
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 46
     φ | √φ | φ' | φ46
   
   

9. Skew morphsim class of size 44
     
     of order 69
     with kernel of order 423
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 69
     φ | √φ | φ' | φ69
   
   

10. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 423
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

11. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 423
      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 423
      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 22
      
      of order 46
      with kernel of order 423
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 46
      φ | √φ | φ' | φ46
    
    

14. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 423
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

15. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 423
      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 44
      
      of order 138
      with kernel of order 423
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

17. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 141
      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
    
    

18. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 141
      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
    
    

19. Skew morphsim class of size 88
      
      of order 138
      with kernel of order 141
      and smallest kernel generator 3
      and power function values [ 1, 47, 93 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

20. Skew morphsim class of size 88
      
      of order 138
      with kernel of order 141
      and smallest kernel generator 3
      and power function values [ 1, 47, 93 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2