n = 1127 = 72·23

Number of selected skew morphism classes of C1127 is 0
Total number of skew morphisms of C1127 is 4884
Total number of skew morphism classes of C1127 is 44
Total number of automorphisms of C1127 is 924
  1. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 11
      φ | √φ | φ' | φ11
    
    
  2. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1127
      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
    
    
  3. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    
  4. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1127
      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
    
    
  5. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 7
      φ | √φ | φ' | φ7
    
    
  6. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 21
      φ | √φ | φ' | φ21
    
    
  7. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 33
      φ | √φ | φ' | φ33
    
    
  8. Skew morphsim class of size 60
      
      of order 77
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 77
      φ | √φ | φ' | φ77
    
    
  9. Skew morphsim class of size 120
      
      of order 231
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 231
      φ | √φ | φ' | φ231
    
    
  10. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1127
      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
    
    
  11. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  12. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  13. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    
  14. Skew morphsim class of size 60
      
      of order 154
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 154
      φ | √φ | φ' | φ154
    
    
  15. Skew morphsim class of size 120
      
      of order 462
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 462
      φ | √φ | φ' | φ462
    
    
  16. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1127
      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
    
    
  17. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1127
      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
    
    
  18. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  19. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    
  20. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  21. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    
  22. Skew morphsim class of size 60
      
      of order 154
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 154
      φ | √φ | φ' | φ154
    
    
  23. Skew morphsim class of size 120
      
      of order 462
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 462
      φ | √φ | φ' | φ462
    
    
  24. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1127
      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 1127
      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 14
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    
  27. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    
  28. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    
  29. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    
  30. Skew morphsim class of size 60
      
      of order 154
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 154
      φ | √φ | φ' | φ154
    
    
  31. Skew morphsim class of size 120
      
      of order 462
      with kernel of order 1127
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 462
      φ | √φ | φ' | φ462
    
    
  32. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  33. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  34. Skew morphsim class of size 72
      
      of order 21
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 4, 7, 10, 13, 16, 19 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  35. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  36. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  37. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  38. Skew morphsim class of size 360
      
      of order 154
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 23, 45, 67, 89, 111, 133 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  39. Skew morphsim class of size 360
      
      of order 154
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 23, 45, 67, 89, 111, 133 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  40. Skew morphsim class of size 720
      
      of order 231
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 34, 67, 100, 133, 166, 199 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  41. Skew morphsim class of size 720
      
      of order 462
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 67, 133, 199, 265, 331, 397 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  42. Skew morphsim class of size 720
      
      of order 462
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 67, 133, 199, 265, 331, 397 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  43. Skew morphsim class of size 720
      
      of order 462
      with kernel of order 161
      and smallest kernel generator 7
      and power function values [ 1, 67, 133, 199, 265, 331, 397 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6