n = 570 = 2·3·5·19

Number of selected skew morphism classes of C570 is 0
Total number of skew morphisms of C570 is 1472
Total number of skew morphism classes of C570 is 76
Total number of automorphisms of C570 is 144
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 570
      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 570
      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 570
      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 1
      
      of order 2
      with kernel of order 570
      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
    
    
  5. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 570
      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
    
    
  6. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 570
      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
    
    
  7. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 570
      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 6
      
      of order 18
      with kernel of order 570
      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
    
    
  9. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 570
      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 4
      with kernel of order 570
      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
    
    
  11. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 570
      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 4
      
      of order 12
      with kernel of order 570
      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
    
    
  13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 570
      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 4
      
      of order 12
      with kernel of order 570
      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
    
    
  15. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 570
      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
    
    
  16. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 570
      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
    
    
  17. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 570
      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
    
    
  18. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 570
      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 570
      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 1
      
      of order 2
      with kernel of order 570
      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 6
      with kernel of order 570
      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
    
    
  22. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 570
      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
    
    
  23. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 570
      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
    
    
  24. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 570
      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 570
      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 6
      
      of order 18
      with kernel of order 570
      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
    
    
  27. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 570
      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 4
      
      of order 12
      with kernel of order 570
      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
    
    
  29. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 570
      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 4
      
      of order 12
      with kernel of order 570
      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
    
    
  31. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 570
      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
    
    
  32. Skew morphsim class of size 12
      
      of order 36
      with kernel of order 570
      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
    
    
  33. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 570
      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 6
      with kernel of order 570
      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 6
      
      of order 18
      with kernel of order 570
      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
    
    
  36. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 285
      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>
    
    
  37. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 285
      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>
    
    
  38. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 285
      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>
    
    
  39. Skew morphsim class of size 18
      
      of order 19
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 18 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  40. Skew morphsim class of size 36
      
      of order 57
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 56 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  41. Skew morphsim class of size 72
      
      of order 95
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 94 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 144
      
      of order 285
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 284 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  43. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 285
      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>
    
    
  44. Skew morphsim class of size 18
      
      of order 38
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  45. Skew morphsim class of size 36
      
      of order 114
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 113 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  46. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 285
      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>
    
    
  47. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 285
      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 24
      
      of order 45
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      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 12
      with kernel of order 285
      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>
    
    
  50. Skew morphsim class of size 36
      
      of order 76
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      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 228
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 113 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 285
      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>
    
    
  53. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 285
      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>
    
    
  54. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 285
      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>
    
    
  55. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  56. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 285
      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 36
      
      of order 76
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 285
      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>
    
    
  60. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      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 90
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      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 10
      with kernel of order 285
      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>
    
    
  63. Skew morphsim class of size 18
      
      of order 38
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 72
      
      of order 190
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 189 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  65. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  66. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  67. Skew morphsim class of size 18
      
      of order 38
      with kernel of order 285
      and smallest kernel generator 2
      and power function values [ 1, 37 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  68. Skew morphsim class of size 36
      
      of order 19
      with kernel of order 190
      and smallest kernel generator 3
      and power function values [ 1, 7, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  69. Skew morphsim class of size 36
      
      of order 38
      with kernel of order 190
      and smallest kernel generator 3
      and power function values [ 1, 7, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  70. Skew morphsim class of size 72
      
      of order 76
      with kernel of order 190
      and smallest kernel generator 3
      and power function values [ 1, 45, 49 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  71. Skew morphsim class of size 36
      
      of order 19
      with kernel of order 95
      and smallest kernel generator 6
      and power function values [ 1, 8, 7, 18, 11, 12 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  72. Skew morphsim class of size 144
      
      of order 95
      with kernel of order 95
      and smallest kernel generator 6
      and power function values [ 1, 49, 26, 39, 11, 64 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  73. Skew morphsim class of size 144
      
      of order 95
      with kernel of order 95
      and smallest kernel generator 6
      and power function values [ 1, 69, 11, 94, 26, 84 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  74. Skew morphsim class of size 36
      
      of order 38
      with kernel of order 95
      and smallest kernel generator 6
      and power function values [ 1, 27, 7, 37, 11, 31 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  75. Skew morphsim class of size 72
      
      of order 76
      with kernel of order 95
      and smallest kernel generator 6
      and power function values [ 1, 65, 45, 37, 49, 69 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>