n = 1164 = 22·3·97

Number of selected skew morphism classes of C1164 is 0
Total number of skew morphisms of C1164 is 3200
Total number of skew morphism classes of C1164 is 74
Total number of automorphisms of C1164 is 384
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1164
      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 1164
      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 1164
      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 1164
      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 2
      
      of order 3
      with kernel of order 1164
      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
    
    
  6. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1164
      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
    
    
  7. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1164
      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 24
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  9. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    
  10. Skew morphsim class of size 16
      
      of order 32
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 32
      φ | √φ | φ' | φ32
    
    
  11. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 96
      φ | √φ | φ' | φ96
    
    
  12. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 1164
      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
    
    
  13. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1164
      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
    
    
  14. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  15. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1164
      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
    
    
  16. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1164
      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
    
    
  17. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    
  18. Skew morphsim class of size 16
      
      of order 32
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 32
      φ | √φ | φ' | φ32
    
    
  19. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 96
      φ | √φ | φ' | φ96
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1164
      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 1164
      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 2
      
      of order 4
      with kernel of order 1164
      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 4
      
      of order 12
      with kernel of order 1164
      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
    
    
  24. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 1164
      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
    
    
  25. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1164
      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
    
    
  26. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  27. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1164
      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
    
    
  28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1164
      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
    
    
  29. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    
  30. Skew morphsim class of size 16
      
      of order 32
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 32
      φ | √φ | φ' | φ32
    
    
  31. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 96
      φ | √φ | φ' | φ96
    
    
  32. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1164
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1164
      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
    
    
  34. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1164
      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
    
    
  35. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1164
      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
    
    
  36. Skew morphsim class of size 8
      
      of order 16
      with kernel of order 1164
      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
    
    
  37. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 1164
      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
    
    
  38. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 24
      φ | √φ | φ' | φ24
    
    
  39. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1164
      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
    
    
  40. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1164
      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
    
    
  41. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 48
      φ | √φ | φ' | φ48
    
    
  42. Skew morphsim class of size 16
      
      of order 32
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 32
      φ | √φ | φ' | φ32
    
    
  43. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 1164
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 96
      φ | √φ | φ' | φ96
    
    
  44. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1164
      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
    
    
  45. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1164
      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
    
    
  46. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1164
      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
    
    
  47. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1164
      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
    
    
  48. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 582
      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>
    
    
  49. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 582
      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 96
      
      of order 97
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 96 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 96
      
      of order 194
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 193 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 192
      
      of order 291
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 290 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 192
      
      of order 582
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 581 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 582
      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>
    
    
  55. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 582
      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>
    
    
  56. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 582
      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>
    
    
  57. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 582
      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 8
      
      of order 24
      with kernel of order 582
      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>
    
    
  59. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 582
      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>
    
    
  60. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 582
      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>
    
    
  61. Skew morphsim class of size 16
      
      of order 48
      with kernel of order 582
      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>
    
    
  62. Skew morphsim class of size 96
      
      of order 194
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 193 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  63. Skew morphsim class of size 96
      
      of order 194
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 193 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 65 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  65. Skew morphsim class of size 32
      
      of order 96
      with kernel of order 582
      and smallest kernel generator 2
      and power function values [ 1, 65 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  66. Skew morphsim class of size 192
      
      of order 97
      with kernel of order 388
      and smallest kernel generator 3
      and power function values [ 1, 35, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  67. Skew morphsim class of size 192
      
      of order 194
      with kernel of order 388
      and smallest kernel generator 3
      and power function values [ 1, 35, 61 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  68. Skew morphsim class of size 192
      
      of order 97
      with kernel of order 291
      and smallest kernel generator 4
      and power function values [ 1, 22, 96, 75 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  69. Skew morphsim class of size 384
      
      of order 291
      with kernel of order 291
      and smallest kernel generator 4
      and power function values [ 1, 119, 193, 269 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  70. Skew morphsim class of size 192
      
      of order 194
      with kernel of order 291
      and smallest kernel generator 4
      and power function values [ 1, 75, 193, 119 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  71. Skew morphsim class of size 192
      
      of order 97
      with kernel of order 194
      and smallest kernel generator 6
      and power function values [ 1, 36, 35, 96, 61, 62 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  72. Skew morphsim class of size 192
      
      of order 194
      with kernel of order 194
      and smallest kernel generator 6
      and power function values [ 1, 133, 35, 193, 61, 159 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  73. Skew morphsim class of size 384
      
      of order 97
      with kernel of order 97
      and smallest kernel generator 12
      and power function values [ 1, 6, 36, 22, 35, 16, 96, 91, 61, 75, 62, 81 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 12
      φ | √φ | φ' | φ|<12>