n = 272 = 24·17

Number of selected skew morphism classes of C272 is 0
Total number of skew morphisms of C272 is 920
Total number of skew morphism classes of C272 is 61
Total number of automorphisms of C272 is 128
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 272
      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 4
      with kernel of order 272
      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
    
    
  3. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  4. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  5. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 272
      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
    
    
  6. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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
    
    
  7. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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
    
    
  8. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  9. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  10. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  11. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 272
      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
    
    
  12. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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
    
    
  13. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  14. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  15. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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
    
    
  16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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 2
      
      of order 4
      with kernel of order 272
      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
    
    
  18. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  19. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  22. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  23. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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 2
      
      of order 4
      with kernel of order 272
      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
    
    
  25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 272
      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 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  27. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  28. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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 1
      
      of order 2
      with kernel of order 272
      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
    
    
  30. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  31. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 272
      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
    
    
  32. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  33. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 272
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  34. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 272
      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
    
    
  35. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 272
      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
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  37. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  38. Skew morphsim class of size 16
      
      of order 17
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 16 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  39. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  40. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 67 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  41. Skew morphsim class of size 64
      
      of order 136
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 135 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  43. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  45. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  46. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 67 ]
      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 8
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 64
      
      of order 136
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 135 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 136
      and smallest kernel generator 2
      and power function values [ 1, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 32
      
      of order 17
      with kernel of order 68
      and smallest kernel generator 4
      and power function values [ 1, 4, 16, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  55. Skew morphsim class of size 32
      
      of order 34
      with kernel of order 68
      and smallest kernel generator 4
      and power function values [ 1, 13, 33, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  56. Skew morphsim class of size 64
      
      of order 68
      with kernel of order 68
      and smallest kernel generator 4
      and power function values [ 1, 13, 33, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  57. Skew morphsim class of size 64
      
      of order 68
      with kernel of order 68
      and smallest kernel generator 4
      and power function values [ 1, 47, 33, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  58. Skew morphsim class of size 64
      
      of order 17
      with kernel of order 34
      and smallest kernel generator 8
      and power function values [ 1, 2, 4, 8, 16, 15, 13, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 8
      φ | √φ | φ' | φ|<8>
    
    
  59. Skew morphsim class of size 64
      
      of order 34
      with kernel of order 34
      and smallest kernel generator 8
      and power function values [ 1, 9, 13, 15, 33, 25, 21, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 8
      φ | √φ | φ' | φ|<8>
    
    
  60. Skew morphsim class of size 128
      
      of order 17
      with kernel of order 17
      and smallest kernel generator 16
      and power function values [ 1, 3, 9, 10, 13, 5, 15, 11, 16, 14, 8, 7, 4, 12, 2, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 16
      φ | √φ | φ' | φ|<16>