Number of selected skew morphism classes of C550 is 0
Total number of skew morphisms of C550 is 2944
Total number of skew morphism classes of C550 is 69
Total number of automorphisms of C550 is 200

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 550
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 550
     φ | √φ | φ' | φ|<550>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 550
     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 4
     with kernel of order 550
     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
   
   

4. Skew morphsim class of size 4
     
     of order 5
     with kernel of order 550
     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
   
   

5. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 550
     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
   
   

6. Skew morphsim class of size 8
     
     of order 20
     with kernel of order 550
     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
   
   

7. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 550
     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 4
     
     of order 5
     with kernel of order 550
     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
   
   

9. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 550
     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
   
   

10. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

11. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 550
      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
    
    

12. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

13. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

14. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 550
      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
    
    

15. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

16. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

17. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 550
      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
    
    

18. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

19. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

20. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

21. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

22. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

23. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

24. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 550
      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
    
    

26. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

27. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

28. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

29. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

30. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

31. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 550
      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
    
    

32. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

33. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

34. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

35. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

36. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

37. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 550
      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
    
    

38. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

39. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

40. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 550
      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
    
    

41. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

42. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 550
      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
    
    

43. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 275
      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>
    
    

44. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 275
      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>
    
    

45. Skew morphsim class of size 20
      
      of order 25
      with kernel of order 275
      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>
    
    

46. Skew morphsim class of size 40
      
      of order 55
      with kernel of order 275
      and smallest kernel generator 2
      and power function values [ 1, 54 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

47. Skew morphsim class of size 200
      
      of order 275
      with kernel of order 275
      and smallest kernel generator 2
      and power function values [ 1, 274 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

48. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 275
      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>
    
    

49. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 275
      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>
    
    

50. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 275
      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>
    
    

51. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 275
      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>
    
    

52. Skew morphsim class of size 40
      
      of order 55
      with kernel of order 275
      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>
    
    

53. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 275
      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>
    
    

54. Skew morphsim class of size 80
      
      of order 220
      with kernel of order 275
      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>
    
    

55. Skew morphsim class of size 40
      
      of order 11
      with kernel of order 110
      and smallest kernel generator 5
      and power function values [ 1, 3, 9, 5, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

56. Skew morphsim class of size 160
      
      of order 55
      with kernel of order 110
      and smallest kernel generator 5
      and power function values [ 1, 16, 36, 26, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    

57. Skew morphsim class of size 40
      
      of order 11
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 2, 4, 8, 5, 10, 9, 7, 3, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

58. Skew morphsim class of size 160
      
      of order 55
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 4, 16, 9, 36, 34, 26, 49, 31, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

59. Skew morphsim class of size 160
      
      of order 55
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 6, 36, 51, 31, 21, 16, 41, 26, 46 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

60. Skew morphsim class of size 160
      
      of order 55
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 19, 31, 39, 26, 54, 36, 24, 16, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    

61. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 110
      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
    
    

62. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 110
      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
    
    

63. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 110
      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
    
    

64. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 110
      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
    
    

65. Skew morphsim class of size 160
      
      of order 110
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 43, 45, 87, 89, 21, 23, 65, 67, 109 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

66. Skew morphsim class of size 320
      
      of order 220
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 65, 89, 153, 177, 21, 45, 109, 133, 197 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

67. Skew morphsim class of size 80
      
      of order 25
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 4, 21, 9, 16, 14, 11, 19, 6, 24 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 800
      
      of order 275
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 54, 221, 109, 166, 164, 111, 219, 56, 274 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

69. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 55
      and smallest kernel generator 10
      and power function values [ 1, 9, 41, 19, 31, 29, 21, 39, 11, 49 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>