n = 870 = 2·3·5·29

Number of selected skew morphism classes of C870 is 0
Total number of skew morphisms of C870 is 1792
Total number of skew morphism classes of C870 is 90
Total number of automorphisms of C870 is 224
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 870
      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 1
      
      of order 2
      with kernel of order 870
      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
    
    
  3. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  4. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 870
      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
    
    
  5. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 870
      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
    
    
  6. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  7. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 870
      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
    
    
  8. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 870
      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
    
    
  9. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 870
      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
    
    
  10. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 870
      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
    
    
  11. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 870
      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 4
      with kernel of order 870
      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
    
    
  14. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 870
      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
    
    
  15. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  17. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 870
      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
    
    
  18. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  19. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  21. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  22. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 870
      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
    
    
  23. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  24. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 870
      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
    
    
  26. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 870
      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
    
    
  27. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 870
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  29. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  30. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  31. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  32. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  34. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  35. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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
    
    
  37. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 870
      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
    
    
  38. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 870
      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 12
      
      of order 28
      with kernel of order 870
      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
    
    
  40. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 2 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  41. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  43. Skew morphsim class of size 28
      
      of order 29
      with kernel of order 435
      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>
    
    
  44. Skew morphsim class of size 56
      
      of order 87
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 86 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  45. Skew morphsim class of size 112
      
      of order 145
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 144 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  46. Skew morphsim class of size 224
      
      of order 435
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 434 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  48. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 48
      
      of order 105
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 435
      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>
    
    
  56. Skew morphsim class of size 56
      
      of order 174
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 173 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 56
      
      of order 116
      with kernel of order 435
      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>
    
    
  59. Skew morphsim class of size 112
      
      of order 348
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 173 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  61. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  62. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  63. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  65. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  66. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  67. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  68. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  69. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  70. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  71. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  72. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  73. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  74. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  75. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  76. Skew morphsim class of size 48
      
      of order 140
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  77. Skew morphsim class of size 96
      
      of order 420
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  78. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  79. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  80. Skew morphsim class of size 56
      
      of order 116
      with kernel of order 435
      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>
    
    
  81. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  82. Skew morphsim class of size 48
      
      of order 140
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  83. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  84. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 435
      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>
    
    
  85. Skew morphsim class of size 112
      
      of order 290
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 289 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  86. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  87. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  88. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 435
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  89. Skew morphsim class of size 28
      
      of order 58
      with kernel of order 435
      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>