Number of selected skew morphism classes of C500 is 0
Total number of skew morphisms of C500 is 13752
Total number of skew morphism classes of C500 is 50
Total number of automorphisms of C500 is 200

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 500
     φ | √φ | φ' | φ|<500>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 500
     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 500
     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 500
     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 20
     
     of order 25
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 25
     φ | √φ | φ' | φ25
   
   

6. Skew morphsim class of size 20
     
     of order 50
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 50
     φ | √φ | φ' | φ50
   
   

7. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 500
     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 8
     
     of order 20
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 20
     φ | √φ | φ' | φ20
   
   

9. Skew morphsim class of size 40
     
     of order 100
     with kernel of order 500
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 100
     φ | √φ | φ' | φ100
   
   

10. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 500
      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 4
      
      of order 10
      with kernel of order 500
      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
    
    

12. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 50
      φ | √φ | φ' | φ50
    
    

13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 500
      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 8
      
      of order 20
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    

15. Skew morphsim class of size 40
      
      of order 100
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 100
      φ | √φ | φ' | φ100
    
    

16. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 500
      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
    
    

17. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 500
      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
    
    

18. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 500
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 50
      φ | √φ | φ' | φ50
    
    

19. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

20. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

21. Skew morphsim class of size 20
      
      of order 25
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 24 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

22. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

23. Skew morphsim class of size 100
      
      of order 125
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 124 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

24. Skew morphsim class of size 100
      
      of order 250
      with kernel of order 250
      and smallest kernel generator 2
      and power function values [ 1, 249 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

25. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 125
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

26. Skew morphsim class of size 40
      
      of order 25
      with kernel of order 125
      and smallest kernel generator 4
      and power function values [ 1, 7, 24, 18 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

27. Skew morphsim class of size 200
      
      of order 125
      with kernel of order 125
      and smallest kernel generator 4
      and power function values [ 1, 57, 124, 68 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

28. Skew morphsim class of size 80
      
      of order 25
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 6, 11, 16, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

29. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

30. Skew morphsim class of size 80
      
      of order 25
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 4, 16, 14, 6, 24, 21, 9, 11, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

31. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 9, 31, 29, 11, 49, 41, 19, 21, 39 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

32. Skew morphsim class of size 160
      
      of order 25
      with kernel of order 25
      and smallest kernel generator 20
      and power function values [ 1, 2, 4, 8, 16, 7, 14, 3, 6, 12, 24, 23, 21, 17, 9, 18, 11, 22, 19, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 20
      φ | √φ | φ' | φ|<20>
    
    

33. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

34. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

35. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

36. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

37. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

38. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

39. Skew morphsim class of size 160
      
      of order 100
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

40. Skew morphsim class of size 160
      
      of order 100
      with kernel of order 100
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

41. Skew morphsim class of size 400
      
      of order 125
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 24, 101, 49, 76, 74, 51, 99, 26, 124 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 400
      
      of order 250
      with kernel of order 50
      and smallest kernel generator 10
      and power function values [ 1, 49, 201, 99, 151, 149, 101, 199, 51, 249 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 800
      
      of order 125
      with kernel of order 25
      and smallest kernel generator 20
      and power function values [ 1, 7, 24, 18, 51, 107, 99, 43, 101, 82, 49, 68, 26, 57, 124, 93, 76, 32, 74, 118 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    

44. Skew morphsim class of size 400
      
      of order 50
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 3, 25, 17, 29, 11, 13, 35, 27, 39, 21, 23, 45, 37, 49, 31, 33, 5, 47, 9, 41, 43, 15, 7, 19 ]
      and with periodicity 10
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

45. Skew morphsim class of size 400
      
      of order 50
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 3, 25, 17, 29, 11, 13, 35, 27, 39, 21, 23, 45, 37, 49, 31, 33, 5, 47, 9, 41, 43, 15, 7, 19 ]
      and with periodicity 10
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

46. Skew morphsim class of size 800
      
      of order 100
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 5, 49, 33, 57, 21, 25, 69, 53, 77, 41, 45, 89, 73, 97, 61, 65, 9, 93, 17, 81, 85, 29, 13, 37 ]
      and with periodicity 20
      and with complexity 5
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

47. Skew morphsim class of size 800
      
      of order 100
      with kernel of order 20
      and smallest kernel generator 25
      and power function values [ 1, 5, 49, 33, 57, 21, 25, 69, 53, 77, 41, 45, 89, 73, 97, 61, 65, 9, 93, 17, 81, 85, 29, 13, 37 ]
      and with periodicity 20
      and with complexity 5
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

48. Skew morphsim class of size 2000
      
      of order 125
      with kernel of order 10
      and smallest kernel generator 50
      and power function values [ 1, 4, 21, 9, 66, 114, 11, 69, 106, 124, 101, 29, 121, 34, 41, 14, 111, 94, 81, 24, 76, 54, 96, 59, 16, 39, 86, 119, 56, 49, 51, 79, 71, 84, 116, 64, 61, 19, 31, 74, 26, 104, 46, 109, 91, 89, 36, 44, 6, 99 ]
      and with periodicity 25
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

49. Skew morphsim class of size 2000
      
      of order 250
      with kernel of order 10
      and smallest kernel generator 50
      and power function values [ 1, 29, 121, 59, 141, 189, 61, 169, 131, 249, 101, 179, 221, 209, 241, 89, 161, 69, 231, 149, 201, 79, 71, 109, 91, 239, 11, 219, 81, 49, 51, 229, 171, 9, 191, 139, 111, 119, 181, 199, 151, 129, 21, 159, 41, 39, 211, 19, 31, 99 ]
      and with periodicity 25
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

50. Skew morphsim class of size 4000
      
      of order 125
      with kernel of order 5
      and smallest kernel generator 100
      and power function values [ 1, 2, 64, 63, 81, 62, 84, 53, 61, 47, 79, 118, 66, 82, 49, 8, 96, 42, 119, 98, 26, 52, 39, 13, 106, 112, 59, 3, 86, 97, 54, 68, 91, 7, 24, 83, 121, 92, 94, 48, 51, 102, 14, 88, 6, 37, 34, 78, 111, 22, 29, 18, 116, 57, 124, 33, 21, 17, 69, 123, 76, 27, 114, 38, 31, 87, 9, 28, 11, 72, 4, 93, 16, 107, 99, 108, 46, 67, 44, 73, 101, 77, 89, 113, 56, 12, 109, 103, 36, 122, 104, 43, 41, 32, 74, 58, 71, 117, 19, 23 ]
      and with periodicity 25
      and with complexity 6
      and with auto-order 4
      φ | √φ | φ' | φ|<4>