Number of selected skew morphism classes of C507 is 0
Total number of skew morphisms of C507 is 7560
Total number of skew morphism classes of C507 is 37
Total number of automorphisms of C507 is 312

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 507
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 507
     φ | √φ | φ' | φ|<507>
   
   

2. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 507
     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
   
   

3. Skew morphsim class of size 12
     
     of order 13
     with kernel of order 507
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 13
     φ | √φ | φ' | φ13
   
   

4. Skew morphsim class of size 24
     
     of order 39
     with kernel of order 507
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 39
     φ | √φ | φ' | φ39
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 507
     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 4
     with kernel of order 507
     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
   
   

7. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 507
     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 4
     
     of order 12
     with kernel of order 507
     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 26
     with kernel of order 507
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 26
     φ | √φ | φ' | φ26
   
   

10. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 52
      φ | √φ | φ' | φ52
    
    

11. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

12. Skew morphsim class of size 48
      
      of order 156
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 156
      φ | √φ | φ' | φ156
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 507
      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 2
      
      of order 6
      with kernel of order 507
      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
    
    

15. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

16. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

17. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 507
      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
    
    

18. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 507
      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
    
    

19. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 52
      φ | √φ | φ' | φ52
    
    

20. Skew morphsim class of size 48
      
      of order 156
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 156
      φ | √φ | φ' | φ156
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 507
      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
    
    

22. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    

23. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 507
      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
    
    

24. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 507
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    

25. Skew morphsim class of size 24
      
      of order 13
      with kernel of order 169
      and smallest kernel generator 3
      and power function values [ 1, 3, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

26. Skew morphsim class of size 312
      
      of order 169
      with kernel of order 169
      and smallest kernel generator 3
      and power function values [ 1, 22, 146 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

27. Skew morphsim class of size 144
      
      of order 26
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

28. Skew morphsim class of size 144
      
      of order 26
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

29. Skew morphsim class of size 288
      
      of order 39
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

30. Skew morphsim class of size 288
      
      of order 52
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

31. Skew morphsim class of size 288
      
      of order 52
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

32. Skew morphsim class of size 288
      
      of order 78
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

33. Skew morphsim class of size 288
      
      of order 78
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

34. Skew morphsim class of size 288
      
      of order 78
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

35. Skew morphsim class of size 576
      
      of order 156
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145 ]
      and with periodicity 12
      and with complexity 3
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

36. Skew morphsim class of size 576
      
      of order 156
      with kernel of order 39
      and smallest kernel generator 13
      and power function values [ 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145 ]
      and with periodicity 12
      and with complexity 3
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

37. Skew morphsim class of size 3744
      
      of order 169
      with kernel of order 13
      and smallest kernel generator 39
      and power function values [ 1, 3, 35, 79, 68, 61, 157, 133, 87, 66, 29, 113, 144, 94, 139, 53, 159, 165, 131, 55, 22, 40, 120, 48, 118, 16, 74, 27, 81, 100, 105, 146, 126, 14, 42, 152, 92, 107, 9 ]
      and with periodicity 13
      and with complexity 4
      and with auto-order 3
      φ | √φ | φ' | φ|<3>