n = 688 = 24·43

Number of selected skew morphism classes of C_688 is 0
Total number of skew morphisms of C_688 is 1680
Total number of skew morphism classes of C_688 is 90
Total number of automorphisms of C_688 is 336

  1. Skew morphsim class of size 6 #
  
  of order 7 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  2. Skew morphsim class of size 6 #
  
  of order 14 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  3. Skew morphsim class of size 12 #
  
  of order 42 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  4. Skew morphsim class of size 2 #
  
  of order 6 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  5. Skew morphsim class of size 12 #
  
  of order 21 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  6. Skew morphsim class of size 1 #
  
  of order 2 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  7. Skew morphsim class of size 2 #
  
  of order 3 √
  with kernel of order 688
  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 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  9. Skew morphsim class of size 12 #
  
  of order 28 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  10. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  11. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  12. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 688
  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 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  14. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  15. Skew morphsim class of size 2 #
  
  of order 4 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  16. Skew morphsim class of size 12 #
  
  of order 28 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  17. Skew morphsim class of size 12 #
  
  of order 28 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  18. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  19. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  20. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  21. Skew morphsim class of size 2 #
  
  of order 4 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  22. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 688
  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 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  24. Skew morphsim class of size 6 #
  
  of order 14 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  25. Skew morphsim class of size 6 #
  
  of order 14 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  26. Skew morphsim class of size 12 #
  
  of order 42 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  27. Skew morphsim class of size 2 #
  
  of order 6 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  28. Skew morphsim class of size 12 #
  
  of order 42 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  29. Skew morphsim class of size 1 #
  
  of order 2 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  30. Skew morphsim class of size 2 #
  
  of order 6 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  31. Skew morphsim class of size 1 #
  
  of order 2 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  32. Skew morphsim class of size 6 #
  
  of order 14 √
  with kernel of order 688
  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 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  34. Skew morphsim class of size 12 #
  
  of order 42 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  35. Skew morphsim class of size 2 #
  
  of order 6 √
  with kernel of order 688
  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 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  37. Skew morphsim class of size 1 #
  
  of order 2 √
  with kernel of order 688
  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 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  39. Skew morphsim class of size 1 #
  
  of order 2 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  40. Skew morphsim class of size 6 #
  
  of order 14 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  41. Skew morphsim class of size 6 #
  
  of order 14 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  42. Skew morphsim class of size 12 #
  
  of order 42 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  43. Skew morphsim class of size 2 #
  
  of order 6 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  44. Skew morphsim class of size 12 #
  
  of order 42 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  45. Skew morphsim class of size 1 #
  
  of order 2 √
  with kernel of order 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  46. Skew morphsim class of size 2 #
  
  of order 6 √
  with kernel of order 688
  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 688
  and smallest kernel generator 1
  and power function values [ 1 ] #
  and with periodicity 1


  48. Skew morphsim class of size 2 #
  
  of order 4 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 3 ] #
  and with periodicity 1


  49. Skew morphsim class of size 4 #
  
  of order 8 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  50. Skew morphsim class of size 42 #
  
  of order 43 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 42 ] #
  and with periodicity 1


  51. Skew morphsim class of size 42 #
  
  of order 86 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 85 ] #
  and with periodicity 1


  52. Skew morphsim class of size 84 #
  
  of order 172 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 171 ] #
  and with periodicity 1


  53. Skew morphsim class of size 168 #
  
  of order 344 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 343 ] #
  and with periodicity 1


  54. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 43 ] #
  and with periodicity 1


  55. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 43 ] #
  and with periodicity 1


  56. Skew morphsim class of size 12 #
  
  of order 28 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  57. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  58. Skew morphsim class of size 12 #
  
  of order 28 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  59. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  60. Skew morphsim class of size 2 #
  
  of order 4 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 3 ] #
  and with periodicity 1


  61. Skew morphsim class of size 48 #
  
  of order 168 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 127 ] #
  and with periodicity 1


  62. Skew morphsim class of size 48 #
  
  of order 168 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 127 ] #
  and with periodicity 1


  63. Skew morphsim class of size 24 #
  
  of order 56 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  64. Skew morphsim class of size 8 #
  
  of order 24 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  65. Skew morphsim class of size 24 #
  
  of order 56 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  66. Skew morphsim class of size 8 #
  
  of order 24 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  67. Skew morphsim class of size 4 #
  
  of order 8 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  68. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 43 ] #
  and with periodicity 1


  69. Skew morphsim class of size 48 #
  
  of order 168 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 127 ] #
  and with periodicity 1


  70. Skew morphsim class of size 24 #
  
  of order 84 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 43 ] #
  and with periodicity 1


  71. Skew morphsim class of size 48 #
  
  of order 168 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 127 ] #
  and with periodicity 1


  72. Skew morphsim class of size 12 #
  
  of order 28 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  73. Skew morphsim class of size 24 #
  
  of order 56 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  74. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  75. Skew morphsim class of size 8 #
  
  of order 24 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  76. Skew morphsim class of size 12 #
  
  of order 28 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  77. Skew morphsim class of size 24 #
  
  of order 56 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 15 ] #
  and with periodicity 1


  78. Skew morphsim class of size 4 #
  
  of order 12 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  79. Skew morphsim class of size 8 #
  
  of order 24 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  80. Skew morphsim class of size 2 #
  
  of order 4 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 3 ] #
  and with periodicity 1


  81. Skew morphsim class of size 4 #
  
  of order 8 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  82. Skew morphsim class of size 42 #
  
  of order 86 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 85 ] #
  and with periodicity 1


  83. Skew morphsim class of size 42 #
  
  of order 86 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 85 ] #
  and with periodicity 1


  84. Skew morphsim class of size 2 #
  
  of order 4 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 3 ] #
  and with periodicity 1


  85. Skew morphsim class of size 84 #
  
  of order 172 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 171 ] #
  and with periodicity 1


  86. Skew morphsim class of size 84 #
  
  of order 172 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 85 ] #
  and with periodicity 1


  87. Skew morphsim class of size 4 #
  
  of order 8 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 7 ] #
  and with periodicity 1


  88. Skew morphsim class of size 84 #
  
  of order 172 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 85 ] #
  and with periodicity 1


  89. Skew morphsim class of size 168 #
  
  of order 344 √
  with kernel of order 344
  and smallest kernel generator 2
  and power function values [ 1, 343 ] #
  and with periodicity 1