n = 1422 = 2·32·79

Number of selected skew morphism classes of C1422 is 0
Total number of skew morphisms of C1422 is 4992
Total number of skew morphism classes of C1422 is 70
Total number of automorphisms of C1422 is 468
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1422
      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 1422
      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 1422
      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 12
      
      of order 13
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 13
      φ | √φ | φ' | φ13
    
    
  5. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    
  6. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 39
      φ | √φ | φ' | φ39
    
    
  7. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  8. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1422
      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
    
    
  9. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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
    
    
  10. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 39
      φ | √φ | φ' | φ39
    
    
  11. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1422
      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 6
      with kernel of order 1422
      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
    
    
  14. Skew morphsim class of size 12
      
      of order 26
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    
  15. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  16. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1422
      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
    
    
  17. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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 24
      
      of order 39
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 39
      φ | √φ | φ' | φ39
    
    
  19. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  20. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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
    
    
  21. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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
    
    
  23. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  24. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1422
      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 1422
      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 12
      
      of order 26
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 26
      φ | √φ | φ' | φ26
    
    
  27. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  28. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  30. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  32. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1422
      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
    
    
  33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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 24
      
      of order 39
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 39
      φ | √φ | φ' | φ39
    
    
  35. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  36. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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
    
    
  37. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  38. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1422
      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
    
    
  39. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 1422
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 78
      φ | √φ | φ' | φ78
    
    
  40. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 711
      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>
    
    
  41. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  42. Skew morphsim class of size 78
      
      of order 79
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 78 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  43. Skew morphsim class of size 156
      
      of order 237
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 236 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  44. Skew morphsim class of size 468
      
      of order 711
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 710 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  45. Skew morphsim class of size 24
      
      of order 39
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  46. Skew morphsim class of size 72
      
      of order 117
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  47. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 711
      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>
    
    
  48. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 711
      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>
    
    
  49. Skew morphsim class of size 24
      
      of order 78
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 72
      
      of order 234
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 78
      
      of order 158
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 157 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 156
      
      of order 237
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 157 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 156
      
      of order 474
      with kernel of order 711
      and smallest kernel generator 2
      and power function values [ 1, 157 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 156
      
      of order 79
      with kernel of order 474
      and smallest kernel generator 3
      and power function values [ 1, 23, 55 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  55. Skew morphsim class of size 312
      
      of order 237
      with kernel of order 474
      and smallest kernel generator 3
      and power function values [ 1, 55, 181 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    
  56. Skew morphsim class of size 156
      
      of order 79
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 24, 23, 78, 55, 56 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  57. Skew morphsim class of size 312
      
      of order 237
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 23, 55, 80, 181, 134 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  58. Skew morphsim class of size 312
      
      of order 237
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 103, 181, 157, 55, 214 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  59. Skew morphsim class of size 312
      
      of order 237
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 56, 55, 236, 181, 182 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    
  60. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 474
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  61. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 474
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  62. Skew morphsim class of size 48
      
      of order 78
      with kernel of order 474
      and smallest kernel generator 3
      and power function values [ 1, 27, 53 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  63. Skew morphsim class of size 48
      
      of order 78
      with kernel of order 474
      and smallest kernel generator 3
      and power function values [ 1, 27, 53 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  64. Skew morphsim class of size 312
      
      of order 474
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 315, 317, 157, 159, 473 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  65. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 2, 7, 5, 4, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  66. Skew morphsim class of size 936
      
      of order 711
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 236, 475, 473, 238, 710 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  67. Skew morphsim class of size 144
      
      of order 117
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 14, 40, 92, 79, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  68. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  69. Skew morphsim class of size 144
      
      of order 234
      with kernel of order 237
      and smallest kernel generator 6
      and power function values [ 1, 131, 157, 209, 79, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>