n = 812 = 22·7·29

Number of selected skew morphism classes of C812 is 0
Total number of skew morphisms of C812 is 2736
Total number of skew morphism classes of C812 is 74
Total number of automorphisms of C812 is 336
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  2. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  3. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  4. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  5. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 7
      φ | √φ | φ' | φ7
    
    
  6. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    
  7. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  8. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 21
      φ | √φ | φ' | φ21
    
    
  9. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  10. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  11. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  13. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  14. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  15. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    
  16. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  17. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  18. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  19. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  20. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  21. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  22. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  23. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  24. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  25. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  26. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  27. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    
  28. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  29. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  30. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  32. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  33. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  34. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  35. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  36. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  37. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  38. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  39. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    
  40. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  41. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  42. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  43. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  44. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  45. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  46. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  47. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 812
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  48. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 28
      
      of order 29
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 28 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 168
      
      of order 203
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 202 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 168
      
      of order 406
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 405 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  56. Skew morphsim class of size 56
      
      of order 87
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 28 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 115 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  61. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  62. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 115 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  63. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 406
      and smallest kernel generator 2
      and power function values [ 1, 115 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 56
      
      of order 29
      with kernel of order 203
      and smallest kernel generator 4
      and power function values [ 1, 12, 28, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  65. Skew morphsim class of size 336
      
      of order 203
      with kernel of order 203
      and smallest kernel generator 4
      and power function values [ 1, 41, 57, 104 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  66. Skew morphsim class of size 112
      
      of order 87
      with kernel of order 203
      and smallest kernel generator 4
      and power function values [ 1, 46, 28, 70 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  67. Skew morphsim class of size 56
      
      of order 58
      with kernel of order 203
      and smallest kernel generator 4
      and power function values [ 1, 17, 57, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  68. Skew morphsim class of size 112
      
      of order 174
      with kernel of order 203
      and smallest kernel generator 4
      and power function values [ 1, 133, 115, 157 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  69. Skew morphsim class of size 168
      
      of order 29
      with kernel of order 116
      and smallest kernel generator 7
      and power function values [ 1, 7, 20, 24, 23, 16, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 7
      φ | √φ | φ' | φ|<7>
    
    
  70. Skew morphsim class of size 168
      
      of order 58
      with kernel of order 116
      and smallest kernel generator 7
      and power function values [ 1, 7, 49, 53, 23, 45, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 7
      φ | √φ | φ' | φ|<7>
    
    
  71. Skew morphsim class of size 168
      
      of order 29
      with kernel of order 58
      and smallest kernel generator 14
      and power function values [ 1, 4, 16, 6, 24, 9, 7, 28, 25, 13, 23, 5, 20, 22 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 14
      φ | √φ | φ' | φ|<14>
    
    
  72. Skew morphsim class of size 168
      
      of order 58
      with kernel of order 58
      and smallest kernel generator 14
      and power function values [ 1, 5, 25, 9, 45, 51, 23, 57, 53, 33, 49, 13, 7, 35 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 14
      φ | √φ | φ' | φ|<14>
    
    
  73. Skew morphsim class of size 336
      
      of order 29
      with kernel of order 29
      and smallest kernel generator 28
      and power function values [ 1, 2, 4, 8, 16, 3, 6, 12, 24, 19, 9, 18, 7, 14, 28, 27, 25, 21, 13, 26, 23, 17, 5, 10, 20, 11, 22, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 28
      φ | √φ | φ' | φ|<28>