n = 1044 = 22·32·29

Number of selected skew morphism classes of C_1044 is 0
Total number of skew morphisms of C_1044 is 5040
Total number of skew morphism classes of C_1044 is 120
Total number of automorphisms of C_1044 is 336
  1. Skew morphsim class of size 12 #
      
      of order 21 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  2. Skew morphsim class of size 24 #
      
      of order 84 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  3. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  4. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  5. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  6. Skew morphsim class of size 2 #
      
      of order 3 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  7. Skew morphsim class of size 6 #
      
      of order 14 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  8. Skew morphsim class of size 12 #
      
      of order 28 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  9. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  10. Skew morphsim class of size 6 #
      
      of order 14 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  11. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  12. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  13. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  14. Skew morphsim class of size 24 #
      
      of order 84 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  15. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  16. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  17. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  18. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  19. Skew morphsim class of size 6 #
      
      of order 7 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  20. Skew morphsim class of size 12 #
      
      of order 28 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  21. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  22. Skew morphsim class of size 6 #
      
      of order 14 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  23. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  24. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  25. Skew morphsim class of size 24 #
      
      of order 84 
      with kernel of order 1044
      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 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  27. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  28. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  29. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  30. Skew morphsim class of size 6 #
      
      of order 14 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  31. Skew morphsim class of size 12 #
      
      of order 28 
      with kernel of order 1044
      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 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  33. Skew morphsim class of size 6 #
      
      of order 14 
      with kernel of order 1044
      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 1044
      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 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  36. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  37. Skew morphsim class of size 24 #
      
      of order 84 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  38. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  39. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  40. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  41. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  42. Skew morphsim class of size 6 #
      
      of order 14 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  43. Skew morphsim class of size 12 #
      
      of order 28 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  44. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  45. Skew morphsim class of size 6 #
      
      of order 14 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  46. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  47. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 1044
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  48. Skew morphsim class of size 2 #
      
      of order 3 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 2 ] #
      and with periodicity 1
    
    
  49. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    
  50. Skew morphsim class of size 6 #
      
      of order 9 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 8 ] #
      and with periodicity 1
    
    
  51. Skew morphsim class of size 6 #
      
      of order 18 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    
  52. Skew morphsim class of size 28 #
      
      of order 29 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 28 ] #
      and with periodicity 1
    
    
  53. Skew morphsim class of size 28 #
      
      of order 58 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 57 ] #
      and with periodicity 1
    
    
  54. Skew morphsim class of size 56 #
      
      of order 87 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 86 ] #
      and with periodicity 1
    
    
  55. Skew morphsim class of size 56 #
      
      of order 174 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 173 ] #
      and with periodicity 1
    
    
  56. Skew morphsim class of size 168 #
      
      of order 261 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 260 ] #
      and with periodicity 1
    
    
  57. Skew morphsim class of size 168 #
      
      of order 522 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 521 ] #
      and with periodicity 1
    
    
  58. Skew morphsim class of size 24 #
      
      of order 84 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 29 ] #
      and with periodicity 1
    
    
  59. Skew morphsim class of size 24 #
      
      of order 84 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 29 ] #
      and with periodicity 1
    
    
  60. Skew morphsim class of size 72 #
      
      of order 252 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 197 ] #
      and with periodicity 1
    
    
  61. Skew morphsim class of size 72 #
      
      of order 252 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 197 ] #
      and with periodicity 1
    
    
  62. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 29 ] #
      and with periodicity 1
    
    
  63. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 29 ] #
      and with periodicity 1
    
    
  64. Skew morphsim class of size 36 #
      
      of order 126 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 71 ] #
      and with periodicity 1
    
    
  65. Skew morphsim class of size 36 #
      
      of order 126 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 71 ] #
      and with periodicity 1
    
    
  66. Skew morphsim class of size 12 #
      
      of order 21 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 8 ] #
      and with periodicity 1
    
    
  67. Skew morphsim class of size 12 #
      
      of order 42 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 29 ] #
      and with periodicity 1
    
    
  68. Skew morphsim class of size 36 #
      
      of order 63 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 8 ] #
      and with periodicity 1
    
    
  69. Skew morphsim class of size 36 #
      
      of order 126 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 71 ] #
      and with periodicity 1
    
    
  70. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    
  71. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    
  72. Skew morphsim class of size 6 #
      
      of order 18 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    
  73. Skew morphsim class of size 6 #
      
      of order 18 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    
  74. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    
  75. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    
  76. Skew morphsim class of size 12 #
      
      of order 36 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    
  77. Skew morphsim class of size 12 #
      
      of order 36 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    
  78. Skew morphsim class of size 56 #
      
      of order 174 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 115 ] #
      and with periodicity 1
    
    
  79. Skew morphsim class of size 56 #
      
      of order 174 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 115 ] #
      and with periodicity 1
    
    
  80. Skew morphsim class of size 28 #
      
      of order 58 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 57 ] #
      and with periodicity 1
    
    
  81. Skew morphsim class of size 28 #
      
      of order 58 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 57 ] #
      and with periodicity 1
    
    
  82. Skew morphsim class of size 56 #
      
      of order 87 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 28 ] #
      and with periodicity 1
    
    
  83. Skew morphsim class of size 56 #
      
      of order 174 
      with kernel of order 522
      and smallest kernel generator 2
      and power function values [ 1, 115 ] #
      and with periodicity 1
    
    
  84. Skew morphsim class of size 56 #
      
      of order 29 
      with kernel of order 261
      and smallest kernel generator 4
      and power function values [ 1, 12, 28, 17 ] #
      and with periodicity 1
    
    
  85. Skew morphsim class of size 112 #
      
      of order 87 
      with kernel of order 261
      and smallest kernel generator 4
      and power function values [ 1, 41, 28, 17 ] #
      and with periodicity 1
    
    
  86. Skew morphsim class of size 336 #
      
      of order 261 
      with kernel of order 261
      and smallest kernel generator 4
      and power function values [ 1, 17, 28, 215 ] #
      and with periodicity 1
    
    
  87. Skew morphsim class of size 112 #
      
      of order 174 
      with kernel of order 261
      and smallest kernel generator 4
      and power function values [ 1, 157, 115, 133 ] #
      and with periodicity 1
    
    
  88. Skew morphsim class of size 56 #
      
      of order 58 
      with kernel of order 261
      and smallest kernel generator 4
      and power function values [ 1, 41, 57, 17 ] #
      and with periodicity 1
    
    
  89. Skew morphsim class of size 112 #
      
      of order 87 
      with kernel of order 261
      and smallest kernel generator 4
      and power function values [ 1, 46, 28, 70 ] #
      and with periodicity 1
    
    
  90. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  91. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  92. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  93. Skew morphsim class of size 4 #
      
      of order 6 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    
  94. Skew morphsim class of size 8 #
      
      of order 12 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ] #
      and with periodicity 2
    
    
  95. Skew morphsim class of size 8 #
      
      of order 12 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ] #
      and with periodicity 2
    
    
  96. Skew morphsim class of size 24 #
      
      of order 42 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ] #
      and with periodicity 2
    
    
  97. Skew morphsim class of size 24 #
      
      of order 42 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ] #
      and with periodicity 2
    
    
  98. Skew morphsim class of size 24 #
      
      of order 42 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ] #
      and with periodicity 2
    
    
  99. Skew morphsim class of size 24 #
      
      of order 42 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ] #
      and with periodicity 2
    
    
  100. Skew morphsim class of size 48 #
      
      of order 84 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 29, 57 ] #
      and with periodicity 2
    
    
  101. Skew morphsim class of size 48 #
      
      of order 84 
      with kernel of order 348
      and smallest kernel generator 3
      and power function values [ 1, 29, 57 ] #
      and with periodicity 2
    
    
  102. Skew morphsim class of size 112 #
      
      of order 174 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 57, 59, 115, 117, 173 ] #
      and with periodicity 2
    
    
  103. Skew morphsim class of size 112 #
      
      of order 174 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 57, 59, 115, 117, 173 ] #
      and with periodicity 2
    
    
  104. Skew morphsim class of size 224 #
      
      of order 174 
      with kernel of order 87
      and smallest kernel generator 12
      and power function values [ 1, 75, 173, 157, 117, 17, 115, 99, 59, 133, 57, 41 ] #
      and with periodicity 2
    
    
  105. Skew morphsim class of size 12 #
      
      of order 9 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 5, 4, 2, 7, 8 ] #
      and with periodicity 3
    
    
  106. Skew morphsim class of size 12 #
      
      of order 18 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ] #
      and with periodicity 3
    
    
  107. Skew morphsim class of size 12 #
      
      of order 18 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 17, 7, 11, 13, 5 ] #
      and with periodicity 3
    
    
  108. Skew morphsim class of size 12 #
      
      of order 18 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 17, 7, 11, 13, 5 ] #
      and with periodicity 3
    
    
  109. Skew morphsim class of size 24 #
      
      of order 36 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 17, 25, 29, 13, 5 ] #
      and with periodicity 3
    
    
  110. Skew morphsim class of size 24 #
      
      of order 36 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 17, 25, 29, 13, 5 ] #
      and with periodicity 3
    
    
  111. Skew morphsim class of size 72 #
      
      of order 63 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 8, 43, 29, 22, 50 ] #
      and with periodicity 3
    
    
  112. Skew morphsim class of size 72 #
      
      of order 126 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 71, 43, 29, 85, 113 ] #
      and with periodicity 3
    
    
  113. Skew morphsim class of size 72 #
      
      of order 126 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 71, 43, 29, 85, 113 ] #
      and with periodicity 3
    
    
  114. Skew morphsim class of size 72 #
      
      of order 126 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 71, 43, 29, 85, 113 ] #
      and with periodicity 3
    
    
  115. Skew morphsim class of size 144 #
      
      of order 252 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 197, 169, 29, 85, 113 ] #
      and with periodicity 3
    
    
  116. Skew morphsim class of size 144 #
      
      of order 252 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 197, 169, 29, 85, 113 ] #
      and with periodicity 3
    
    
  117. Skew morphsim class of size 336 #
      
      of order 261 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 260, 88, 173, 175, 86 ] #
      and with periodicity 3
    
    
  118. Skew morphsim class of size 672 #
      
      of order 261 
      with kernel of order 87
      and smallest kernel generator 12
      and power function values [ 1, 215, 115, 191, 175, 41, 28, 17, 88, 128, 202, 104 ] #
      and with periodicity 3
    
    
  119. Skew morphsim class of size 336 #
      
      of order 522 
      with kernel of order 174
      and smallest kernel generator 6
      and power function values [ 1, 521, 349, 173, 175, 347 ] #
      and with periodicity 3