n = 1420 = 22·5·71

Number of selected skew morphism classes of C1420 is 0
Total number of skew morphisms of C1420 is 3584
Total number of skew morphism classes of C1420 is 73
Total number of automorphisms of C1420 is 560
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1420
      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 6
      
      of order 7
      with kernel of order 1420
      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
    
    
  3. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1420
      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
    
    
  4. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 1420
      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
    
    
  5. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1420
      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
    
    
  6. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 35
      φ | √φ | φ' | φ35
    
    
  7. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    
  8. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1420
      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
    
    
  9. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1420
      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
    
    
  10. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1420
      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
    
    
  11. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    
  12. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1420
      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 12
      
      of order 28
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  14. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1420
      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
    
    
  15. Skew morphsim class of size 48
      
      of order 140
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 140
      φ | √φ | φ' | φ140
    
    
  16. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1420
      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
    
    
  17. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1420
      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
    
    
  18. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  19. Skew morphsim class of size 48
      
      of order 140
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 140
      φ | √φ | φ' | φ140
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1420
      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 4
      
      of order 10
      with kernel of order 1420
      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
    
    
  22. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1420
      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
    
    
  23. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    
  24. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1420
      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 6
      
      of order 14
      with kernel of order 1420
      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
    
    
  26. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1420
      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
    
    
  27. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    
  28. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1420
      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
    
    
  29. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1420
      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
    
    
  30. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1420
      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
    
    
  31. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    
  32. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1420
      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
    
    
  33. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  34. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1420
      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
    
    
  35. Skew morphsim class of size 48
      
      of order 140
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 140
      φ | √φ | φ' | φ140
    
    
  36. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1420
      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
    
    
  37. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 1420
      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
    
    
  38. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    
  39. Skew morphsim class of size 48
      
      of order 140
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 140
      φ | √φ | φ' | φ140
    
    
  40. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1420
      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
    
    
  41. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1420
      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
    
    
  42. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1420
      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
    
    
  43. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    
  44. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1420
      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 4
      
      of order 10
      with kernel of order 1420
      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
    
    
  46. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1420
      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
    
    
  47. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1420
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    
  48. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  49. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  50. Skew morphsim class of size 70
      
      of order 71
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 70 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  51. Skew morphsim class of size 70
      
      of order 142
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 141 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  52. Skew morphsim class of size 280
      
      of order 355
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 354 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 280
      
      of order 710
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 709 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 70
      
      of order 142
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 141 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 70
      
      of order 142
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 141 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  56. Skew morphsim class of size 140
      
      of order 284
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 141 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  57. Skew morphsim class of size 140
      
      of order 284
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 141 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  58. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  59. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  60. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  61. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  62. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  63. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 710
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  64. Skew morphsim class of size 8
      
      of order 5
      with kernel of order 355
      and smallest kernel generator 4
      and power function values [ 1, 2, 4, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  65. Skew morphsim class of size 560
      
      of order 355
      with kernel of order 355
      and smallest kernel generator 4
      and power function values [ 1, 212, 214, 283 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  66. Skew morphsim class of size 48
      
      of order 35
      with kernel of order 355
      and smallest kernel generator 4
      and power function values [ 1, 8, 29, 22 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  67. Skew morphsim class of size 8
      
      of order 10
      with kernel of order 355
      and smallest kernel generator 4
      and power function values [ 1, 3, 9, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  68. Skew morphsim class of size 48
      
      of order 70
      with kernel of order 355
      and smallest kernel generator 4
      and power function values [ 1, 43, 29, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 4
      φ | √φ | φ' | φ|<4>
    
    
  69. Skew morphsim class of size 280
      
      of order 71
      with kernel of order 284
      and smallest kernel generator 5
      and power function values [ 1, 5, 25, 54, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  70. Skew morphsim class of size 280
      
      of order 142
      with kernel of order 284
      and smallest kernel generator 5
      and power function values [ 1, 5, 25, 125, 57 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>
    
    
  71. Skew morphsim class of size 280
      
      of order 71
      with kernel of order 142
      and smallest kernel generator 10
      and power function values [ 1, 14, 54, 46, 5, 70, 57, 17, 25, 66 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>
    
    
  72. Skew morphsim class of size 280
      
      of order 142
      with kernel of order 142
      and smallest kernel generator 10
      and power function values [ 1, 17, 5, 85, 25, 141, 125, 137, 57, 117 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 10
      φ | √φ | φ' | φ|<10>