n = 666 = 2·32·37

Number of selected skew morphism classes of C666 is 0
Total number of skew morphisms of C666 is 2544
Total number of skew morphism classes of C666 is 76
Total number of automorphisms of C666 is 216
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 666
      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 666
      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 4
      with kernel of order 666
      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 2
      
      of order 6
      with kernel of order 666
      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
    
    
  5. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    
  6. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 666
      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 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  8. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  9. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 666
      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
    
    
  10. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 666
      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
    
    
  11. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  12. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    
  13. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  14. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  15. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 666
      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
    
    
  16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  17. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  18. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  19. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 666
      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
    
    
  20. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  21. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 666
      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
    
    
  22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  23. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 666
      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
    
    
  24. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  25. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  26. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 666
      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
    
    
  27. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  29. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 666
      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
    
    
  30. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  31. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  32. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  34. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 666
      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
    
    
  35. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 666
      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
    
    
  36. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 666
      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
    
    
  37. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  38. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  39. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 666
      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 4
      
      of order 12
      with kernel of order 666
      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
    
    
  41. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 666
      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
    
    
  42. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 9
      φ | √φ | φ' | φ9
    
    
  43. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  44. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  45. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  46. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    
  47. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 666
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 36
      φ | √φ | φ' | φ36
    
    
  48. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 333
      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>
    
    
  49. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 333
      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 36
      
      of order 37
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 36 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 72
      
      of order 111
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 110 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 216
      
      of order 333
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 332 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 333
      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>
    
    
  54. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 333
      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>
    
    
  56. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 36
      
      of order 74
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 73 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 72
      
      of order 111
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 73 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 72
      
      of order 222
      with kernel of order 333
      and smallest kernel generator 2
      and power function values [ 1, 73 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 72
      
      of order 37
      with kernel of order 222
      and smallest kernel generator 3
      and power function values [ 1, 10, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  61. Skew morphsim class of size 144
      
      of order 111
      with kernel of order 222
      and smallest kernel generator 3
      and power function values [ 1, 10, 100 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  62. Skew morphsim class of size 72
      
      of order 37
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 11, 10, 36, 26, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  63. Skew morphsim class of size 144
      
      of order 111
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 64, 100, 73, 10, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  64. Skew morphsim class of size 144
      
      of order 111
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 11, 10, 110, 100, 101 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  65. Skew morphsim class of size 144
      
      of order 111
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 26, 10, 38, 100, 47 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  66. Skew morphsim class of size 216
      
      of order 37
      with kernel of order 74
      and smallest kernel generator 9
      and power function values [ 1, 7, 12, 10, 33, 9, 26, 34, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 9
      φ | √φ | φ' | φ|<9>
    
    
  67. Skew morphsim class of size 216
      
      of order 37
      with kernel of order 37
      and smallest kernel generator 18
      and power function values [ 1, 3, 9, 27, 7, 21, 26, 4, 12, 36, 34, 28, 10, 30, 16, 11, 33, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 18
      φ | √φ | φ' | φ|<18>
    
    
  68. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 222
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  69. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 222
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  70. Skew morphsim class of size 8
      
      of order 12
      with kernel of order 222
      and smallest kernel generator 3
      and power function values [ 1, 5, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  71. Skew morphsim class of size 144
      
      of order 222
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 147, 149, 73, 75, 221 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  72. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 2, 7, 5, 4, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  73. Skew morphsim class of size 432
      
      of order 333
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 110, 223, 221, 112, 332 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  74. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  75. Skew morphsim class of size 24
      
      of order 36
      with kernel of order 111
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 29, 25, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>