Number of selected skew morphism classes of C_512 is 0
Total number of skew morphisms of C_512 is 19116
Total number of skew morphism classes of C_512 is 80
Total number of automorphisms of C_512 is 256

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 64 #
     
     of order 128 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 64 #
     
     of order 128 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 32 #
     
     of order 64 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 32 #
     
     of order 64 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 16 #
     
     of order 32 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 16 #
     
     of order 32 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 8 #
     
     of order 16 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 8 #
     
     of order 16 √
     with kernel of order 512
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 512
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 512
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 512
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 512
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 512
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 512
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 512
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 3 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 7 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 8 #
      
      of order 16 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 15 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 16 #
      
      of order 32 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 31 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 32 #
      
      of order 64 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 63 ] #
      and with periodicity 1
    
    

22. Skew morphsim class of size 64 #
      
      of order 128 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 127 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 128 #
      
      of order 256 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 255 ] #
      and with periodicity 1
    
    

24. Skew morphsim class of size 64 #
      
      of order 128 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 65 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 32 #
      
      of order 64 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 33 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 16 #
      
      of order 32 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 8 #
      
      of order 16 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 9 ] #
      and with periodicity 1
    
    

28. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

29. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 3 ] #
      and with periodicity 1
    
    

30. Skew morphsim class of size 64 #
      
      of order 128 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 65 ] #
      and with periodicity 1
    
    

31. Skew morphsim class of size 32 #
      
      of order 64 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 33 ] #
      and with periodicity 1
    
    

32. Skew morphsim class of size 16 #
      
      of order 32 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

33. Skew morphsim class of size 8 #
      
      of order 16 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 9 ] #
      and with periodicity 1
    
    

34. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

35. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 3 ] #
      and with periodicity 1
    
    

36. Skew morphsim class of size 8 #
      
      of order 16 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 7 ] #
      and with periodicity 1
    
    

37. Skew morphsim class of size 16 #
      
      of order 32 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 15 ] #
      and with periodicity 1
    
    

38. Skew morphsim class of size 32 #
      
      of order 64 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 31 ] #
      and with periodicity 1
    
    

39. Skew morphsim class of size 64 #
      
      of order 128 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 63 ] #
      and with periodicity 1
    
    

40. Skew morphsim class of size 128 #
      
      of order 256 √
      with kernel of order 256
      and smallest kernel generator 2
      and power function values [ 1, 255 ] #
      and with periodicity 1
    
    

41. Skew morphsim class of size 128 #
      
      of order 128 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 33, 65, 97 ] #
      and with periodicity 1
    
    

42. Skew morphsim class of size 64 #
      
      of order 64 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 17, 33, 49 ] #
      and with periodicity 1
    
    

43. Skew morphsim class of size 32 #
      
      of order 32 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 9, 17, 25 ] #
      and with periodicity 1
    
    

44. Skew morphsim class of size 16 #
      
      of order 16 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 5, 9, 13 ] #
      and with periodicity 1
    
    

45. Skew morphsim class of size 16 #
      
      of order 16 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 11 ] #
      and with periodicity 1
    
    

46. Skew morphsim class of size 32 #
      
      of order 32 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 7, 17, 23 ] #
      and with periodicity 1
    
    

47. Skew morphsim class of size 64 #
      
      of order 64 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 15, 33, 47 ] #
      and with periodicity 1
    
    

48. Skew morphsim class of size 128 #
      
      of order 128 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 31, 65, 95 ] #
      and with periodicity 1
    
    

49. Skew morphsim class of size 128 #
      
      of order 64 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57 ] #
      and with periodicity 1
    
    

50. Skew morphsim class of size 64 #
      
      of order 32 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 5, 25, 29, 17, 21, 9, 13 ] #
      and with periodicity 1
    
    

51. Skew morphsim class of size 64 #
      
      of order 32 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 3, 9, 27, 17, 19, 25, 11 ] #
      and with periodicity 1
    
    

52. Skew morphsim class of size 128 #
      
      of order 64 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 7, 49, 23, 33, 39, 17, 55 ] #
      and with periodicity 1
    
    

53. Skew morphsim class of size 8 #
      
      of order 8 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 3, 5, 7 ] #
      and with periodicity 2
    
    

54. Skew morphsim class of size 16 #
      
      of order 16 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 5, 9, 13 ] #
      and with periodicity 2
    
    

55. Skew morphsim class of size 32 #
      
      of order 16 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15 ] #
      and with periodicity 2
    
    

56. Skew morphsim class of size 32 #
      
      of order 32 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 9, 17, 25 ] #
      and with periodicity 2
    
    

57. Skew morphsim class of size 64 #
      
      of order 32 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29 ] #
      and with periodicity 2
    
    

58. Skew morphsim class of size 128 #
      
      of order 32 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 ] #
      and with periodicity 2
    
    

59. Skew morphsim class of size 64 #
      
      of order 64 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 17, 33, 49 ] #
      and with periodicity 2
    
    

60. Skew morphsim class of size 128 #
      
      of order 64 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57 ] #
      and with periodicity 2
    
    

61. Skew morphsim class of size 256 #
      
      of order 64 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 19, 9, 43, 17, 3, 25, 27, 33, 51, 41, 11, 49, 35, 57, 59 ] #
      and with periodicity 2
    
    

62. Skew morphsim class of size 256 #
      
      of order 64 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 21, 57, 45, 49, 5, 41, 29, 33, 53, 25, 13, 17, 37, 9, 61 ] #
      and with periodicity 2
    
    

63. Skew morphsim class of size 256 #
      
      of order 64 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61 ] #
      and with periodicity 2
    
    

64. Skew morphsim class of size 128 #
      
      of order 128 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 33, 65, 97 ] #
      and with periodicity 2
    
    

65. Skew morphsim class of size 256 #
      
      of order 128 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 47, 97, 79, 65, 111, 33, 15 ] #
      and with periodicity 2
    
    

66. Skew morphsim class of size 256 #
      
      of order 128 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 49, 97, 17, 65, 113, 33, 81 ] #
      and with periodicity 2
    
    

67. Skew morphsim class of size 256 #
      
      of order 128 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 17, 33, 49, 65, 81, 97, 113 ] #
      and with periodicity 2
    
    

68. Skew morphsim class of size 512 #
      
      of order 128 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 121, 49, 41, 97, 89, 17, 9, 65, 57, 113, 105, 33, 25, 81, 73 ] #
      and with periodicity 4
    
    

69. Skew morphsim class of size 512 #
      
      of order 128 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121 ] #
      and with periodicity 4
    
    

70. Skew morphsim class of size 256 #
      
      of order 256 √
      with kernel of order 128
      and smallest kernel generator 4
      and power function values [ 1, 127, 129, 255 ] #
      and with periodicity 2
    
    

71. Skew morphsim class of size 512 #
      
      of order 64 √
      with kernel of order 16
      and smallest kernel generator 32
      and power function values [ 1, 63, 13, 43, 25, 23, 37, 3, 49, 47, 61, 27, 9, 7, 21, 51, 33, 31, 45, 11, 57, 55, 5, 35, 17, 15, 29, 59, 41, 39, 53, 19 ] #
      and with periodicity 4
    
    

72. Skew morphsim class of size 512 #
      
      of order 128 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 87, 49, 39, 97, 119, 17, 71, 65, 23, 113, 103, 33, 55, 81, 7 ] #
      and with periodicity 4
    
    

73. Skew morphsim class of size 1024 #
      
      of order 128 √
      with kernel of order 16
      and smallest kernel generator 32
      and power function values [ 1, 21, 9, 93, 17, 37, 25, 109, 33, 53, 41, 125, 49, 69, 57, 13, 65, 85, 73, 29, 81, 101, 89, 45, 97, 117, 105, 61, 113, 5, 121, 77 ] #
      and with periodicity 8
    
    

74. Skew morphsim class of size 1024 #
      
      of order 128 √
      with kernel of order 16
      and smallest kernel generator 32
      and power function values [ 1, 29, 41, 101, 17, 109, 57, 53, 33, 61, 73, 5, 49, 13, 89, 85, 65, 93, 105, 37, 81, 45, 121, 117, 97, 125, 9, 69, 113, 77, 25, 21 ] #
      and with periodicity 8
    
    

75. Skew morphsim class of size 1024 #
      
      of order 128 √
      with kernel of order 16
      and smallest kernel generator 32
      and power function values [ 1, 123, 41, 115, 17, 43, 57, 35, 33, 91, 73, 83, 49, 11, 89, 3, 65, 59, 105, 51, 81, 107, 121, 99, 97, 27, 9, 19, 113, 75, 25, 67 ] #
      and with periodicity 8
    
    

76. Skew morphsim class of size 512 #
      
      of order 256 √
      with kernel of order 64
      and smallest kernel generator 8
      and power function values [ 1, 191, 65, 127, 129, 63, 193, 255 ] #
      and with periodicity 4
    
    

77. Skew morphsim class of size 1024 #
      
      of order 256 √
      with kernel of order 32
      and smallest kernel generator 16
      and power function values [ 1, 95, 33, 63, 65, 31, 97, 255, 129, 223, 161, 191, 193, 159, 225, 127 ] #
      and with periodicity 8
    
    

78. Skew morphsim class of size 2048 #
      
      of order 256 √
      with kernel of order 16
      and smallest kernel generator 32
      and power function values [ 1, 207, 81, 255, 161, 47, 241, 95, 65, 143, 145, 191, 225, 239, 49, 31, 129, 79, 209, 127, 33, 175, 113, 223, 193, 15, 17, 63, 97, 111, 177, 159 ] #
      and with periodicity 16
    
    

79. Skew morphsim class of size 2048 #
      
      of order 128 √
      with kernel of order 8
      and smallest kernel generator 64
      and power function values [ 1, 63, 21, 35, 9, 103, 93, 11, 17, 15, 37, 115, 25, 55, 109, 91, 33, 95, 53, 67, 41, 7, 125, 43, 49, 47, 69, 19, 57, 87, 13, 123, 65, 127, 85, 99, 73, 39, 29, 75, 81, 79, 101, 51, 89, 119, 45, 27, 97, 31, 117, 3, 105, 71, 61, 107, 113, 111, 5, 83, 121, 23, 77, 59 ] #
      and with periodicity 16
    
    

80. Skew morphsim class of size 4096 #
      
      of order 256 √
      with kernel of order 8
      and smallest kernel generator 64
      and power function values [ 1, 191, 153, 71, 241, 15, 9, 23, 225, 95, 121, 231, 209, 175, 233, 183, 193, 255, 89, 135, 177, 79, 201, 87, 161, 159, 57, 39, 145, 239, 169, 247, 129, 63, 25, 199, 113, 143, 137, 151, 97, 223, 249, 103, 81, 47, 105, 55, 65, 127, 217, 7, 49, 207, 73, 215, 33, 31, 185, 167, 17, 111, 41, 119 ] #
      and with periodicity 32