n = 650 = 2·52·13

Number of selected skew morphism classes of C650 is 0
Total number of skew morphisms of C650 is 4128
Total number of skew morphism classes of C650 is 83
Total number of automorphisms of C650 is 240
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 650
      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 650
      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 650
      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 4
      
      of order 5
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    
  5. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 650
      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 4
      
      of order 10
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    
  7. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 650
      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
    
    
  8. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 15
      φ | √φ | φ' | φ15
    
    
  9. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    
  10. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  11. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 650
      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 650
      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 6
      with kernel of order 650
      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
    
    
  15. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    
  16. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 650
      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
    
    
  17. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    
  18. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  19. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 650
      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 20
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    
  22. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 650
      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
    
    
  23. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    
  24. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 650
      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
    
    
  25. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    
  26. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 650
      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
    
    
  27. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    
  28. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 650
      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
    
    
  29. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 650
      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 6
      with kernel of order 650
      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 4
      
      of order 10
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    
  32. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 650
      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
    
    
  33. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    
  34. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    
  35. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 650
      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 4
      
      of order 12
      with kernel of order 650
      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
    
    
  38. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    
  39. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 650
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 60
      φ | √φ | φ' | φ60
    
    
  40. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 325
      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>
    
    
  41. Skew morphsim class of size 12
      
      of order 13
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 12 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 20
      
      of order 25
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 24 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  43. Skew morphsim class of size 48
      
      of order 65
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 64 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 240
      
      of order 325
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 324 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  45. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 325
      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 20
      
      of order 50
      with kernel of order 325
      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>
    
    
  47. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 325
      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>
    
    
  48. Skew morphsim class of size 40
      
      of order 75
      with kernel of order 325
      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>
    
    
  49. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 325
      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>
    
    
  50. Skew morphsim class of size 40
      
      of order 100
      with kernel of order 325
      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>
    
    
  51. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 325
      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>
    
    
  52. Skew morphsim class of size 40
      
      of order 150
      with kernel of order 325
      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 16
      
      of order 60
      with kernel of order 325
      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 80
      
      of order 300
      with kernel of order 325
      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>
    
    
  55. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  56. Skew morphsim class of size 48
      
      of order 65
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 51 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 48
      
      of order 130
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 51 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 24
      
      of order 52
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 25 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 96
      
      of order 260
      with kernel of order 325
      and smallest kernel generator 2
      and power function values [ 1, 181 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  61. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 3, 5, 7, 9 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  62. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  63. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  64. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  65. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  66. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 5, 9, 13, 17 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  67. Skew morphsim class of size 32
      
      of order 30
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  68. Skew morphsim class of size 32
      
      of order 30
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 7, 13, 19, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  69. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  70. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  71. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  72. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  73. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 130
      and smallest kernel generator 5
      and power function values [ 1, 13, 25, 37, 49 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  74. Skew morphsim class of size 192
      
      of order 130
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 25, 79, 103, 27, 51, 105, 129, 53, 77 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  75. Skew morphsim class of size 384
      
      of order 260
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 25, 209, 233, 157, 181, 105, 129, 53, 77 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  76. Skew morphsim class of size 80
      
      of order 25
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 4, 21, 9, 16, 14, 11, 19, 6, 24 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  77. Skew morphsim class of size 960
      
      of order 325
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 64, 261, 129, 196, 194, 131, 259, 66, 324 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  78. Skew morphsim class of size 160
      
      of order 75
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 4, 46, 34, 16, 64, 61, 19, 31, 49 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  79. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 9, 41, 19, 31, 29, 21, 39, 11, 49 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  80. Skew morphsim class of size 160
      
      of order 150
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 19, 31, 139, 61, 109, 91, 79, 121, 49 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  81. Skew morphsim class of size 160
      
      of order 100
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 9, 41, 69, 81, 29, 21, 89, 61, 49 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  82. Skew morphsim class of size 320
      
      of order 300
      with kernel of order 65
      and smallest kernel generator 10
      and power function values [ 1, 109, 241, 169, 181, 229, 121, 289, 61, 49 ]
      and with periodicity 5
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>