Number of selected skew morphism classes of C506 is 0
Total number of skew morphisms of C506 is 1120
Total number of skew morphism classes of C506 is 25
Total number of automorphisms of C506 is 220

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 506
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 506
     φ | √φ | φ' | φ|<506>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 506
     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 4
     
     of order 5
     with kernel of order 506
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 5
     φ | √φ | φ' | φ5
   
   

4. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 506
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 10
     φ | √φ | φ' | φ10
   
   

5. Skew morphsim class of size 10
     
     of order 11
     with kernel of order 506
     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 10
     
     of order 22
     with kernel of order 506
     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
   
   

7. Skew morphsim class of size 40
     
     of order 55
     with kernel of order 506
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 55
     φ | √φ | φ' | φ55
   
   

8. Skew morphsim class of size 40
     
     of order 110
     with kernel of order 506
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 110
     φ | √φ | φ' | φ110
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 506
     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
   
   

10. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 506
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

11. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 506
      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
    
    

12. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 506
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 110
      φ | √φ | φ' | φ110
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 506
      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
    
    

14. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 506
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

15. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 506
      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
    
    

16. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 506
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 110
      φ | √φ | φ' | φ110
    
    

17. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 253
      and smallest kernel generator 2
      and power function values [ 1, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

18. Skew morphsim class of size 22
      
      of order 23
      with kernel of order 253
      and smallest kernel generator 2
      and power function values [ 1, 22 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

19. Skew morphsim class of size 220
      
      of order 253
      with kernel of order 253
      and smallest kernel generator 2
      and power function values [ 1, 252 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

20. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 253
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

21. Skew morphsim class of size 88
      
      of order 115
      with kernel of order 253
      and smallest kernel generator 2
      and power function values [ 1, 91 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

22. Skew morphsim class of size 22
      
      of order 46
      with kernel of order 253
      and smallest kernel generator 2
      and power function values [ 1, 45 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

23. Skew morphsim class of size 88
      
      of order 230
      with kernel of order 253
      and smallest kernel generator 2
      and power function values [ 1, 91 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

24. Skew morphsim class of size 220
      
      of order 23
      with kernel of order 46
      and smallest kernel generator 11
      and power function values [ 1, 2, 4, 8, 16, 9, 18, 13, 3, 6, 12 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 11
      φ | √φ | φ' | φ|<11>
    
    

25. Skew morphsim class of size 220
      
      of order 23
      with kernel of order 23
      and smallest kernel generator 22
      and power function values [ 1, 5, 2, 10, 4, 20, 8, 17, 16, 11, 9, 22, 18, 21, 13, 19, 3, 15, 6, 7, 12, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 22
      φ | √φ | φ' | φ|<22>