n = 875 = 53·7

Number of selected skew morphism classes of C875 is 0
Total number of skew morphisms of C875 is 10008
Total number of skew morphism classes of C875 is 64
Total number of automorphisms of C875 is 600
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 875
      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 875
      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 875
      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 875
      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 4
      with kernel of order 875
      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
    
    
  6. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 875
      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
    
    
  7. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 875
      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
    
    
  8. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 875
      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
    
    
  9. Skew morphsim class of size 20
      
      of order 25
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 25
      φ | √φ | φ' | φ25
    
    
  10. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 50
      φ | √φ | φ' | φ50
    
    
  11. Skew morphsim class of size 40
      
      of order 100
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 100
      φ | √φ | φ' | φ100
    
    
  12. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 875
      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
    
    
  13. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 875
      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
    
    
  14. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 875
      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
    
    
  15. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 875
      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
    
    
  16. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 875
      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
    
    
  17. Skew morphsim class of size 40
      
      of order 75
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 75
      φ | √φ | φ' | φ75
    
    
  18. Skew morphsim class of size 40
      
      of order 150
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 150
      φ | √φ | φ' | φ150
    
    
  19. Skew morphsim class of size 80
      
      of order 300
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 300
      φ | √φ | φ' | φ300
    
    
  20. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 875
      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 4
      
      of order 12
      with kernel of order 875
      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 8
      
      of order 20
      with kernel of order 875
      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
    
    
  23. Skew morphsim class of size 16
      
      of order 60
      with kernel of order 875
      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
    
    
  24. Skew morphsim class of size 40
      
      of order 100
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 100
      φ | √φ | φ' | φ100
    
    
  25. Skew morphsim class of size 80
      
      of order 300
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 300
      φ | √φ | φ' | φ300
    
    
  26. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 875
      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
    
    
  27. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 875
      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
    
    
  28. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 50
      φ | √φ | φ' | φ50
    
    
  29. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 875
      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
    
    
  30. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 875
      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
    
    
  31. Skew morphsim class of size 40
      
      of order 150
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 150
      φ | √φ | φ' | φ150
    
    
  32. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 875
      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
    
    
  33. Skew morphsim class of size 20
      
      of order 50
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 50
      φ | √φ | φ' | φ50
    
    
  34. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 875
      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 40
      
      of order 150
      with kernel of order 875
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 150
      φ | √φ | φ' | φ150
    
    
  36. Skew morphsim class of size 80
      
      of order 25
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 6, 11, 16, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  37. Skew morphsim class of size 160
      
      of order 75
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 16, 31, 46, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  38. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  39. Skew morphsim class of size 160
      
      of order 150
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 31, 61, 91, 121 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  40. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 175
      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
    
    
  41. Skew morphsim class of size 16
      
      of order 10
      with kernel of order 175
      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
    
    
  42. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 175
      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
    
    
  43. Skew morphsim class of size 32
      
      of order 20
      with kernel of order 175
      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
    
    
  44. Skew morphsim class of size 32
      
      of order 30
      with kernel of order 175
      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
    
    
  45. Skew morphsim class of size 32
      
      of order 30
      with kernel of order 175
      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
    
    
  46. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  47. Skew morphsim class of size 80
      
      of order 50
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 11, 21, 31, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  48. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 175
      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
    
    
  49. Skew morphsim class of size 64
      
      of order 60
      with kernel of order 175
      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
    
    
  50. Skew morphsim class of size 160
      
      of order 100
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  51. Skew morphsim class of size 160
      
      of order 100
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 21, 41, 61, 81 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  52. Skew morphsim class of size 160
      
      of order 150
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 31, 61, 91, 121 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  53. Skew morphsim class of size 160
      
      of order 150
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 31, 61, 91, 121 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  54. Skew morphsim class of size 320
      
      of order 300
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 61, 121, 181, 241 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  55. Skew morphsim class of size 320
      
      of order 300
      with kernel of order 175
      and smallest kernel generator 5
      and power function values [ 1, 61, 121, 181, 241 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  56. Skew morphsim class of size 400
      
      of order 50
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 3, 25, 17, 29, 11, 13, 35, 27, 39, 21, 23, 45, 37, 49, 31, 33, 5, 47, 9, 41, 43, 15, 7, 19 ]
      and with periodicity 10
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  57. Skew morphsim class of size 400
      
      of order 50
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 3, 25, 17, 29, 11, 13, 35, 27, 39, 21, 23, 45, 37, 49, 31, 33, 5, 47, 9, 41, 43, 15, 7, 19 ]
      and with periodicity 10
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  58. Skew morphsim class of size 800
      
      of order 100
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 5, 49, 33, 57, 21, 25, 69, 53, 77, 41, 45, 89, 73, 97, 61, 65, 9, 93, 17, 81, 85, 29, 13, 37 ]
      and with periodicity 20
      and with complexity 5
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  59. Skew morphsim class of size 800
      
      of order 100
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 5, 49, 33, 57, 21, 25, 69, 53, 77, 41, 45, 89, 73, 97, 61, 65, 9, 93, 17, 81, 85, 29, 13, 37 ]
      and with periodicity 20
      and with complexity 5
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  60. Skew morphsim class of size 800
      
      of order 150
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 13, 145, 97, 19, 61, 73, 55, 7, 79, 121, 133, 115, 67, 139, 31, 43, 25, 127, 49, 91, 103, 85, 37, 109 ]
      and with periodicity 10
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  61. Skew morphsim class of size 800
      
      of order 150
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 13, 145, 97, 19, 61, 73, 55, 7, 79, 121, 133, 115, 67, 139, 31, 43, 25, 127, 49, 91, 103, 85, 37, 109 ]
      and with periodicity 10
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  62. Skew morphsim class of size 1600
      
      of order 300
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 25, 289, 193, 37, 121, 145, 109, 13, 157, 241, 265, 229, 133, 277, 61, 85, 49, 253, 97, 181, 205, 169, 73, 217 ]
      and with periodicity 20
      and with complexity 5
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  63. Skew morphsim class of size 1600
      
      of order 300
      with kernel of order 35
      and smallest kernel generator 25
      and power function values [ 1, 25, 289, 193, 37, 121, 145, 109, 13, 157, 241, 265, 229, 133, 277, 61, 85, 49, 253, 97, 181, 205, 169, 73, 217 ]
      and with periodicity 20
      and with complexity 5
      and with auto-order 4
      φ | √φ | φ' | φ4