n = 1734 = 2·3·172

Number of selected skew morphism classes of C1734 is 0
Total number of skew morphisms of C1734 is 35008
Total number of skew morphism classes of C1734 is 51
Total number of automorphisms of C1734 is 544
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1734
      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 1734
      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 1734
      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 1734
      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 16
      
      of order 17
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 17
      φ | √φ | φ' | φ17
    
    
  6. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 34
      φ | √φ | φ' | φ34
    
    
  7. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 68
      φ | √φ | φ' | φ68
    
    
  8. Skew morphsim class of size 64
      
      of order 136
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 136
      φ | √φ | φ' | φ136
    
    
  9. Skew morphsim class of size 128
      
      of order 272
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 272
      φ | √φ | φ' | φ272
    
    
  10. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1734
      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
    
    
  11. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 34
      φ | √φ | φ' | φ34
    
    
  12. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1734
      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
    
    
  13. Skew morphsim class of size 32
      
      of order 68
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 68
      φ | √φ | φ' | φ68
    
    
  14. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1734
      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
    
    
  15. Skew morphsim class of size 64
      
      of order 136
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 136
      φ | √φ | φ' | φ136
    
    
  16. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1734
      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 16
      
      of order 34
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 34
      φ | √φ | φ' | φ34
    
    
  18. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 1734
      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 128
      
      of order 272
      with kernel of order 1734
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 272
      φ | √φ | φ' | φ272
    
    
  20. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 867
      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>
    
    
  21. Skew morphsim class of size 16
      
      of order 17
      with kernel of order 867
      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>
    
    
  22. Skew morphsim class of size 32
      
      of order 51
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 50 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  23. Skew morphsim class of size 272
      
      of order 289
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 288 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  24. Skew morphsim class of size 544
      
      of order 867
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 866 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  25. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 867
      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>
    
    
  26. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 867
      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>
    
    
  27. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  28. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  29. Skew morphsim class of size 32
      
      of order 51
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 35 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  30. Skew morphsim class of size 32
      
      of order 102
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 35 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  31. Skew morphsim class of size 64
      
      of order 204
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 137 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  32. Skew morphsim class of size 128
      
      of order 408
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 137 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  33. Skew morphsim class of size 256
      
      of order 816
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 545 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  34. Skew morphsim class of size 16
      
      of order 34
      with kernel of order 867
      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>
    
    
  35. Skew morphsim class of size 272
      
      of order 578
      with kernel of order 867
      and smallest kernel generator 2
      and power function values [ 1, 577 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  36. Skew morphsim class of size 256
      
      of order 34
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  37. Skew morphsim class of size 256
      
      of order 34
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  38. Skew morphsim class of size 512
      
      of order 68
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  39. Skew morphsim class of size 512
      
      of order 68
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  40. Skew morphsim class of size 512
      
      of order 102
      with kernel of order 51
      and smallest kernel generator 34
      and power function values [ 1, 5, 43, 47, 85, 89, 25, 29, 67, 71, 7, 11, 49, 53, 91, 95, 31, 35, 73, 77, 13, 17, 55, 59, 97, 101, 37, 41, 79, 83, 19, 23, 61, 65 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  41. Skew morphsim class of size 1024
      
      of order 136
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129 ]
      and with periodicity 8
      and with complexity 3
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  42. Skew morphsim class of size 1024
      
      of order 136
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129 ]
      and with periodicity 8
      and with complexity 3
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  43. Skew morphsim class of size 1024
      
      of order 204
      with kernel of order 51
      and smallest kernel generator 34
      and power function values [ 1, 5, 145, 149, 85, 89, 25, 29, 169, 173, 109, 113, 49, 53, 193, 197, 133, 137, 73, 77, 13, 17, 157, 161, 97, 101, 37, 41, 181, 185, 121, 125, 61, 65 ]
      and with periodicity 4
      and with complexity 3
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    
  44. Skew morphsim class of size 2048
      
      of order 272
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 257 ]
      and with periodicity 16
      and with complexity 3
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  45. Skew morphsim class of size 2048
      
      of order 272
      with kernel of order 102
      and smallest kernel generator 17
      and power function values [ 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 257 ]
      and with periodicity 16
      and with complexity 3
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  46. Skew morphsim class of size 2048
      
      of order 408
      with kernel of order 51
      and smallest kernel generator 34
      and power function values [ 1, 17, 169, 185, 337, 353, 97, 113, 265, 281, 25, 41, 193, 209, 361, 377, 121, 137, 289, 305, 49, 65, 217, 233, 385, 401, 145, 161, 313, 329, 73, 89, 241, 257 ]
      and with periodicity 8
      and with complexity 3
      and with auto-order 8
      φ | √φ | φ' | φ8
    
    
  47. Skew morphsim class of size 4096
      
      of order 816
      with kernel of order 51
      and smallest kernel generator 34
      and power function values [ 1, 17, 577, 593, 337, 353, 97, 113, 673, 689, 433, 449, 193, 209, 769, 785, 529, 545, 289, 305, 49, 65, 625, 641, 385, 401, 145, 161, 721, 737, 481, 497, 241, 257 ]
      and with periodicity 16
      and with complexity 3
      and with auto-order 16
      φ | √φ | φ' | φ16
    
    
  48. Skew morphsim class of size 4352
      
      of order 289
      with kernel of order 51
      and smallest kernel generator 34
      and power function values [ 1, 16, 273, 33, 256, 50, 239, 67, 222, 84, 205, 101, 188, 118, 171, 135, 154, 152, 137, 169, 120, 186, 103, 203, 86, 220, 69, 237, 52, 254, 35, 271, 18, 288 ]
      and with periodicity 17
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 8704
      
      of order 867
      with kernel of order 51
      and smallest kernel generator 34
      and power function values [ 1, 50, 817, 101, 766, 152, 715, 203, 664, 254, 613, 305, 562, 356, 511, 407, 460, 458, 409, 509, 358, 560, 307, 611, 256, 662, 205, 713, 154, 764, 103, 815, 52, 866 ]
      and with periodicity 17
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 4352
      
      of order 578
      with kernel of order 51
      and smallest kernel generator 34
      and power function values [ 1, 33, 545, 67, 511, 101, 477, 135, 443, 169, 409, 203, 375, 237, 341, 271, 307, 305, 273, 339, 239, 373, 205, 407, 171, 441, 137, 475, 103, 509, 69, 543, 35, 577 ]
      and with periodicity 17
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>