n = 675 = 33·52

Number of selected skew morphism classes of C_675 is 0
Total number of skew morphisms of C_675 is 5576
Total number of skew morphism classes of C_675 is 80
Total number of automorphisms of C_675 is 360
  1. Skew morphsim class of size 8 #
      
      of order 20 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  2. Skew morphsim class of size 4 #
      
      of order 10 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  3. Skew morphsim class of size 4 #
      
      of order 5 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  4. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  5. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  6. Skew morphsim class of size 48 #
      
      of order 180 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  7. Skew morphsim class of size 24 #
      
      of order 90 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  8. Skew morphsim class of size 24 #
      
      of order 90 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  9. Skew morphsim class of size 12 #
      
      of order 36 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  10. Skew morphsim class of size 6 #
      
      of order 18 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  11. Skew morphsim class of size 6 #
      
      of order 18 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  12. Skew morphsim class of size 48 #
      
      of order 180 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  13. Skew morphsim class of size 24 #
      
      of order 90 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  14. Skew morphsim class of size 24 #
      
      of order 45 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  15. Skew morphsim class of size 12 #
      
      of order 36 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  16. Skew morphsim class of size 6 #
      
      of order 18 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  17. Skew morphsim class of size 6 #
      
      of order 9 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  18. Skew morphsim class of size 16 #
      
      of order 60 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  19. Skew morphsim class of size 8 #
      
      of order 30 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  20. Skew morphsim class of size 8 #
      
      of order 30 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  21. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  22. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  23. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  24. Skew morphsim class of size 16 #
      
      of order 60 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  25. Skew morphsim class of size 8 #
      
      of order 30 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  26. Skew morphsim class of size 8 #
      
      of order 15 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  27. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  28. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  29. Skew morphsim class of size 2 #
      
      of order 3 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  30. Skew morphsim class of size 8 #
      
      of order 20 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  31. Skew morphsim class of size 4 #
      
      of order 10 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  32. Skew morphsim class of size 4 #
      
      of order 10 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  33. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  34. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  35. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 675
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  36. Skew morphsim class of size 48 #
      
      of order 90 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ] #
      and with periodicity 1
    
    
  37. Skew morphsim class of size 96 #
      
      of order 180 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 61, 121 ] #
      and with periodicity 1
    
    
  38. Skew morphsim class of size 24 #
      
      of order 36 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ] #
      and with periodicity 1
    
    
  39. Skew morphsim class of size 12 #
      
      of order 18 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ] #
      and with periodicity 1
    
    
  40. Skew morphsim class of size 48 #
      
      of order 45 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 16, 31 ] #
      and with periodicity 1
    
    
  41. Skew morphsim class of size 12 #
      
      of order 9 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ] #
      and with periodicity 1
    
    
  42. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  43. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  44. Skew morphsim class of size 16 #
      
      of order 10 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ] #
      and with periodicity 2
    
    
  45. Skew morphsim class of size 16 #
      
      of order 10 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ] #
      and with periodicity 2
    
    
  46. Skew morphsim class of size 8 #
      
      of order 12 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ] #
      and with periodicity 2
    
    
  47. Skew morphsim class of size 12 #
      
      of order 18 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ] #
      and with periodicity 2
    
    
  48. Skew morphsim class of size 12 #
      
      of order 18 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ] #
      and with periodicity 2
    
    
  49. Skew morphsim class of size 32 #
      
      of order 20 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ] #
      and with periodicity 4
    
    
  50. Skew morphsim class of size 32 #
      
      of order 20 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ] #
      and with periodicity 4
    
    
  51. Skew morphsim class of size 16 #
      
      of order 30 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ] #
      and with periodicity 2
    
    
  52. Skew morphsim class of size 16 #
      
      of order 30 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ] #
      and with periodicity 2
    
    
  53. Skew morphsim class of size 32 #
      
      of order 30 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ] #
      and with periodicity 2
    
    
  54. Skew morphsim class of size 32 #
      
      of order 30 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ] #
      and with periodicity 2
    
    
  55. Skew morphsim class of size 64 #
      
      of order 30 
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 27, 23, 19, 15, 11, 7, 3, 29, 25, 21, 17, 13, 9, 5 ] #
      and with periodicity 2
    
    
  56. Skew morphsim class of size 24 #
      
      of order 36 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 13, 25 ] #
      and with periodicity 2
    
    
  57. Skew morphsim class of size 32 #
      
      of order 60 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 21, 41 ] #
      and with periodicity 2
    
    
  58. Skew morphsim class of size 64 #
      
      of order 60 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ] #
      and with periodicity 4
    
    
  59. Skew morphsim class of size 64 #
      
      of order 60 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ] #
      and with periodicity 4
    
    
  60. Skew morphsim class of size 128 #
      
      of order 60 
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 53, 45, 37, 29, 21, 13, 5, 57, 49, 41, 33, 25, 17, 9 ] #
      and with periodicity 4
    
    
  61. Skew morphsim class of size 48 #
      
      of order 90 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ] #
      and with periodicity 2
    
    
  62. Skew morphsim class of size 48 #
      
      of order 90 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 31, 61 ] #
      and with periodicity 2
    
    
  63. Skew morphsim class of size 96 #
      
      of order 90 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 19, 37, 55, 73 ] #
      and with periodicity 2
    
    
  64. Skew morphsim class of size 96 #
      
      of order 90 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 19, 37, 55, 73 ] #
      and with periodicity 2
    
    
  65. Skew morphsim class of size 192 #
      
      of order 90 
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 79, 67, 55, 43, 31, 19, 7, 85, 73, 61, 49, 37, 25, 13 ] #
      and with periodicity 2
    
    
  66. Skew morphsim class of size 192 #
      
      of order 90 
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 79, 67, 55, 43, 31, 19, 7, 85, 73, 61, 49, 37, 25, 13 ] #
      and with periodicity 2
    
    
  67. Skew morphsim class of size 96 #
      
      of order 180 
      with kernel of order 225
      and smallest kernel generator 3
      and power function values [ 1, 61, 121 ] #
      and with periodicity 2
    
    
  68. Skew morphsim class of size 192 #
      
      of order 180 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 37, 73, 109, 145 ] #
      and with periodicity 4
    
    
  69. Skew morphsim class of size 192 #
      
      of order 180 
      with kernel of order 135
      and smallest kernel generator 5
      and power function values [ 1, 37, 73, 109, 145 ] #
      and with periodicity 4
    
    
  70. Skew morphsim class of size 384 #
      
      of order 180 
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 157, 133, 109, 85, 61, 37, 13, 169, 145, 121, 97, 73, 49, 25 ] #
      and with periodicity 4
    
    
  71. Skew morphsim class of size 384 #
      
      of order 180 
      with kernel of order 45
      and smallest kernel generator 15
      and power function values [ 1, 97, 13, 109, 25, 121, 37, 133, 49, 145, 61, 157, 73, 169, 85 ] #
      and with periodicity 4
    
    
  72. Skew morphsim class of size 36 #
      
      of order 18 
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 15, 5, 7, 3, 11, 13, 9, 17 ] #
      and with periodicity 6
    
    
  73. Skew morphsim class of size 36 #
      
      of order 18 
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 15, 5, 7, 3, 11, 13, 9, 17 ] #
      and with periodicity 6
    
    
  74. Skew morphsim class of size 72 #
      
      of order 36 
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 29, 9, 13, 5, 21, 25, 17, 33 ] #
      and with periodicity 6
    
    
  75. Skew morphsim class of size 144 #
      
      of order 90 
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 21, 71, 61, 81, 41, 31, 51, 11 ] #
      and with periodicity 6
    
    
  76. Skew morphsim class of size 144 #
      
      of order 90 
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 21, 71, 61, 81, 41, 31, 51, 11 ] #
      and with periodicity 6
    
    
  77. Skew morphsim class of size 576 #
      
      of order 90 
      with kernel of order 15
      and smallest kernel generator 45
      and power function values [ 1, 27, 83, 79, 15, 71, 67, 3, 59, 55, 81, 47, 43, 69, 35, 31, 57, 23, 19, 45, 11, 7, 33, 89, 85, 21, 77, 73, 9, 65, 61, 87, 53, 49, 75, 41, 37, 63, 29, 25, 51, 17, 13, 39, 5 ] #
      and with periodicity 6
    
    
  78. Skew morphsim class of size 288 #
      
      of order 180 
      with kernel of order 75
      and smallest kernel generator 9
      and power function values [ 1, 161, 21, 121, 101, 141, 61, 41, 81 ] #
      and with periodicity 6
    
    
  79. Skew morphsim class of size 1152 #
      
      of order 180 
      with kernel of order 15
      and smallest kernel generator 45
      and power function values [ 1, 53, 165, 157, 29, 141, 133, 5, 117, 109, 161, 93, 85, 137, 69, 61, 113, 45, 37, 89, 21, 13, 65, 177, 169, 41, 153, 145, 17, 129, 121, 173, 105, 97, 149, 81, 73, 125, 57, 49, 101, 33, 25, 77, 9 ] #
      and with periodicity 12