n = 340 = 22·5·17

Number of selected skew morphism classes of C340 is 0
Total number of skew morphisms of C340 is 1280
Total number of skew morphism classes of C340 is 66
Total number of automorphisms of C340 is 128
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 340
      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 340
      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 340
      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 340
      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 4
      
      of order 8
      with kernel of order 340
      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
    
    
  6. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 340
      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
    
    
  7. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 340
      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 1
      
      of order 2
      with kernel of order 340
      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
    
    
  9. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 340
      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
    
    
  10. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 340
      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 4
      
      of order 8
      with kernel of order 340
      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
    
    
  12. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 340
      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
    
    
  13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 340
      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 2
      
      of order 4
      with kernel of order 340
      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 2
      
      of order 4
      with kernel of order 340
      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 340
      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 8
      
      of order 16
      with kernel of order 340
      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
    
    
  18. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 340
      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
    
    
  19. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 340
      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
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 340
      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
    
    
  21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 340
      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
    
    
  22. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 340
      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 8
      
      of order 16
      with kernel of order 340
      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
    
    
  24. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 340
      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
    
    
  25. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 340
      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
    
    
  26. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 340
      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 2
      
      of order 4
      with kernel of order 340
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 340
      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 2
      
      of order 4
      with kernel of order 340
      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
    
    
  30. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 340
      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 8
      
      of order 16
      with kernel of order 340
      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
    
    
  32. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 340
      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 1
      
      of order 2
      with kernel of order 340
      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
    
    
  34. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 340
      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 340
      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 4
      
      of order 5
      with kernel of order 170
      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>
    
    
  37. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 170
      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>
    
    
  38. Skew morphsim class of size 16
      
      of order 17
      with kernel of order 170
      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 170
      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 64
      
      of order 85
      with kernel of order 170
      and smallest kernel generator 2
      and power function values [ 1, 84 ]
      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 170
      with kernel of order 170
      and smallest kernel generator 2
      and power function values [ 1, 169 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 170
      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>
    
    
  43. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 170
      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>
    
    
  44. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 170
      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>
    
    
  45. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 170
      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>
    
    
  46. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 170
      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 16
      
      of order 34
      with kernel of order 170
      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>
    
    
  48. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 170
      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>
    
    
  49. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 170
      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>
    
    
  50. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 170
      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>
    
    
  51. Skew morphsim class of size 16
      
      of order 40
      with kernel of order 170
      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>
    
    
  52. Skew morphsim class of size 32
      
      of order 80
      with kernel of order 170
      and smallest kernel generator 2
      and power function values [ 1, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 32
      
      of order 80
      with kernel of order 170
      and smallest kernel generator 2
      and power function values [ 1, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 3 ]
      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 17
      with kernel of order 85
      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>
    
    
  56. Skew morphsim class of size 128
      
      of order 85
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 4, 16, 64 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  57. Skew morphsim class of size 128
      
      of order 85
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 13, 84, 72 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  58. Skew morphsim class of size 128
      
      of order 85
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 33, 69, 67 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  59. Skew morphsim class of size 128
      
      of order 85
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 38, 84, 47 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  60. Skew morphsim class of size 8
      
      of order 10
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  61. Skew morphsim class of size 16
      
      of order 20
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 13, 9, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  62. Skew morphsim class of size 32
      
      of order 40
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 17, 9, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  63. Skew morphsim class of size 64
      
      of order 80
      with kernel of order 85
      and smallest kernel generator 4
      and power function values [ 1, 17, 49, 33 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  64. Skew morphsim class of size 32
      
      of order 34
      with kernel of order 85
      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>
    
    
  65. Skew morphsim class of size 64
      
      of order 68
      with kernel of order 85
      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>