n = 1125 = 32·53

Number of selected skew morphism classes of C_1125 is 0
Total number of skew morphisms of C_1125 is 16680
Total number of skew morphism classes of C_1125 is 80
Total number of automorphisms of C_1125 is 600
  1. Skew morphsim class of size 20 #
      
      of order 50 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  2. Skew morphsim class of size 8 #
      
      of order 20 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  3. Skew morphsim class of size 40 #
      
      of order 100 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  4. Skew morphsim class of size 20 #
      
      of order 25 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  5. Skew morphsim class of size 4 #
      
      of order 10 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  6. Skew morphsim class of size 4 #
      
      of order 5 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  7. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  8. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  9. Skew morphsim class of size 40 #
      
      of order 150 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  10. Skew morphsim class of size 16 #
      
      of order 60 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  11. Skew morphsim class of size 80 #
      
      of order 300 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  12. Skew morphsim class of size 40 #
      
      of order 150 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  13. Skew morphsim class of size 8 #
      
      of order 30 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  14. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  15. Skew morphsim class of size 8 #
      
      of order 30 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  16. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  17. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  18. Skew morphsim class of size 40 #
      
      of order 150 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  19. Skew morphsim class of size 16 #
      
      of order 60 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  20. Skew morphsim class of size 80 #
      
      of order 300 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  21. Skew morphsim class of size 40 #
      
      of order 75 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  22. Skew morphsim class of size 8 #
      
      of order 30 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  23. Skew morphsim class of size 2 #
      
      of order 3 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  24. Skew morphsim class of size 8 #
      
      of order 15 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  25. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  26. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  27. Skew morphsim class of size 20 #
      
      of order 50 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  28. Skew morphsim class of size 8 #
      
      of order 20 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  29. Skew morphsim class of size 40 #
      
      of order 100 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  30. Skew morphsim class of size 20 #
      
      of order 50 
      with kernel of order 1125
      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 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  32. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  33. Skew morphsim class of size 4 #
      
      of order 10 
      with kernel of order 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  34. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 1125
      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 1125
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  36. Skew morphsim class of size 160 #
      
      of order 150 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 31, 61, 91, 121 ] #
      and with periodicity 1
    
    
  37. Skew morphsim class of size 80 #
      
      of order 50 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ] #
      and with periodicity 1
    
    
  38. Skew morphsim class of size 160 #
      
      of order 75 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 16, 31, 46, 61 ] #
      and with periodicity 1
    
    
  39. Skew morphsim class of size 80 #
      
      of order 25 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 6, 11, 16, 21 ] #
      and with periodicity 1
    
    
  40. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  41. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  42. Skew morphsim class of size 16 #
      
      of order 10 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ] #
      and with periodicity 2
    
    
  43. Skew morphsim class of size 16 #
      
      of order 10 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ] #
      and with periodicity 2
    
    
  44. Skew morphsim class of size 8 #
      
      of order 12 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ] #
      and with periodicity 2
    
    
  45. Skew morphsim class of size 32 #
      
      of order 20 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ] #
      and with periodicity 4
    
    
  46. Skew morphsim class of size 32 #
      
      of order 20 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ] #
      and with periodicity 4
    
    
  47. Skew morphsim class of size 16 #
      
      of order 30 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ] #
      and with periodicity 2
    
    
  48. Skew morphsim class of size 16 #
      
      of order 30 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ] #
      and with periodicity 2
    
    
  49. Skew morphsim class of size 32 #
      
      of order 30 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ] #
      and with periodicity 2
    
    
  50. Skew morphsim class of size 32 #
      
      of order 30 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ] #
      and with periodicity 2
    
    
  51. Skew morphsim class of size 64 #
      
      of order 30 
      with kernel of order 75
      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
    
    
  52. Skew morphsim class of size 80 #
      
      of order 50 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ] #
      and with periodicity 2
    
    
  53. Skew morphsim class of size 80 #
      
      of order 50 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ] #
      and with periodicity 2
    
    
  54. Skew morphsim class of size 32 #
      
      of order 60 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 21, 41 ] #
      and with periodicity 2
    
    
  55. Skew morphsim class of size 64 #
      
      of order 60 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ] #
      and with periodicity 4
    
    
  56. Skew morphsim class of size 64 #
      
      of order 60 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ] #
      and with periodicity 4
    
    
  57. Skew morphsim class of size 128 #
      
      of order 60 
      with kernel of order 75
      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
    
    
  58. Skew morphsim class of size 160 #
      
      of order 100 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ] #
      and with periodicity 4
    
    
  59. Skew morphsim class of size 160 #
      
      of order 100 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ] #
      and with periodicity 4
    
    
  60. Skew morphsim class of size 80 #
      
      of order 150 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 51, 101 ] #
      and with periodicity 2
    
    
  61. Skew morphsim class of size 80 #
      
      of order 150 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 51, 101 ] #
      and with periodicity 2
    
    
  62. Skew morphsim class of size 160 #
      
      of order 150 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 31, 61, 91, 121 ] #
      and with periodicity 2
    
    
  63. Skew morphsim class of size 160 #
      
      of order 150 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 31, 61, 91, 121 ] #
      and with periodicity 2
    
    
  64. Skew morphsim class of size 320 #
      
      of order 150 
      with kernel of order 75
      and smallest kernel generator 15
      and power function values [ 1, 131, 111, 91, 71, 51, 31, 11, 141, 121, 101, 81, 61, 41, 21 ] #
      and with periodicity 2
    
    
  65. Skew morphsim class of size 320 #
      
      of order 150 
      with kernel of order 75
      and smallest kernel generator 15
      and power function values [ 1, 41, 81, 121, 11, 51, 91, 131, 21, 61, 101, 141, 31, 71, 111 ] #
      and with periodicity 2
    
    
  66. Skew morphsim class of size 160 #
      
      of order 300 
      with kernel of order 375
      and smallest kernel generator 3
      and power function values [ 1, 101, 201 ] #
      and with periodicity 2
    
    
  67. Skew morphsim class of size 320 #
      
      of order 300 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 61, 121, 181, 241 ] #
      and with periodicity 4
    
    
  68. Skew morphsim class of size 320 #
      
      of order 300 
      with kernel of order 225
      and smallest kernel generator 5
      and power function values [ 1, 61, 121, 181, 241 ] #
      and with periodicity 4
    
    
  69. Skew morphsim class of size 640 #
      
      of order 300 
      with kernel of order 75
      and smallest kernel generator 15
      and power function values [ 1, 261, 221, 181, 141, 101, 61, 21, 281, 241, 201, 161, 121, 81, 41 ] #
      and with periodicity 4
    
    
  70. Skew morphsim class of size 400 #
      
      of order 50 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 39, 47, 25, 23, 41, 29, 37, 15, 13, 31, 19, 27, 5, 3, 21, 9, 17, 45, 43, 11, 49, 7, 35, 33 ] #
      and with periodicity 10
    
    
  71. Skew morphsim class of size 400 #
      
      of order 50 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 39, 47, 25, 23, 41, 29, 37, 15, 13, 31, 19, 27, 5, 3, 21, 9, 17, 45, 43, 11, 49, 7, 35, 33 ] #
      and with periodicity 10
    
    
  72. Skew morphsim class of size 800 #
      
      of order 100 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 57, 73, 49, 85, 81, 37, 53, 29, 65, 61, 17, 33, 9, 45, 41, 97, 13, 89, 25, 21, 77, 93, 69, 5 ] #
      and with periodicity 20
    
    
  73. Skew morphsim class of size 800 #
      
      of order 100 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 57, 73, 49, 85, 81, 37, 53, 29, 65, 61, 17, 33, 9, 45, 41, 97, 13, 89, 25, 21, 77, 93, 69, 5 ] #
      and with periodicity 20
    
    
  74. Skew morphsim class of size 800 #
      
      of order 150 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 97, 133, 109, 25, 31, 127, 13, 139, 55, 61, 7, 43, 19, 85, 91, 37, 73, 49, 115, 121, 67, 103, 79, 145 ] #
      and with periodicity 10
    
    
  75. Skew morphsim class of size 800 #
      
      of order 150 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 97, 133, 109, 25, 31, 127, 13, 139, 55, 61, 7, 43, 19, 85, 91, 37, 73, 49, 115, 121, 67, 103, 79, 145 ] #
      and with periodicity 10
    
    
  76. Skew morphsim class of size 1600 #
      
      of order 150 
      with kernel of order 15
      and smallest kernel generator 75
      and power function values [ 1, 87, 113, 79, 135, 131, 67, 93, 59, 115, 111, 47, 73, 39, 95, 91, 27, 53, 19, 75, 71, 7, 33, 149, 55, 51, 137, 13, 129, 35, 31, 117, 143, 109, 15, 11, 97, 123, 89, 145, 141, 77, 103, 69, 125, 121, 57, 83, 49, 105, 101, 37, 63, 29, 85, 81, 17, 43, 9, 65, 61, 147, 23, 139, 45, 41, 127, 3, 119, 25, 21, 107, 133, 99, 5 ] #
      and with periodicity 10
    
    
  77. Skew morphsim class of size 1600 #
      
      of order 300 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 205, 289, 253, 97, 121, 25, 109, 73, 217, 241, 145, 229, 193, 37, 61, 265, 49, 13, 157, 181, 85, 169, 133, 277 ] #
      and with periodicity 20
    
    
  78. Skew morphsim class of size 1600 #
      
      of order 300 
      with kernel of order 45
      and smallest kernel generator 25
      and power function values [ 1, 205, 289, 253, 97, 121, 25, 109, 73, 217, 241, 145, 229, 193, 37, 61, 265, 49, 13, 157, 181, 85, 169, 133, 277 ] #
      and with periodicity 20
    
    
  79. Skew morphsim class of size 3200 #
      
      of order 300 
      with kernel of order 15
      and smallest kernel generator 75
      and power function values [ 1, 233, 285, 157, 149, 261, 193, 245, 117, 109, 221, 153, 205, 77, 69, 181, 113, 165, 37, 29, 141, 73, 125, 297, 289, 101, 33, 85, 257, 249, 61, 293, 45, 217, 209, 21, 253, 5, 177, 169, 281, 213, 265, 137, 129, 241, 173, 225, 97, 89, 201, 133, 185, 57, 49, 161, 93, 145, 17, 9, 121, 53, 105, 277, 269, 81, 13, 65, 237, 229, 41, 273, 25, 197, 189 ] #
      and with periodicity 20