n = 490 = 2·5·72

Number of selected skew morphism classes of C490 is 0
Total number of skew morphisms of C490 is 4176
Total number of skew morphism classes of C490 is 56
Total number of automorphisms of C490 is 168
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 490
      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 490
      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 4
      with kernel of order 490
      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
    
    
  4. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 490
      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
    
    
  5. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 490
      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 4
      
      of order 12
      with kernel of order 490
      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
    
    
  7. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 490
      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
    
    
  8. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 490
      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
    
    
  9. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 490
      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
    
    
  10. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 490
      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
    
    
  11. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 490
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  12. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 490
      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 4
      
      of order 12
      with kernel of order 490
      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
    
    
  14. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 490
      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
    
    
  15. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 490
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    
  16. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 490
      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 490
      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 490
      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 12
      
      of order 42
      with kernel of order 490
      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
    
    
  20. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 490
      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 490
      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 6
      
      of order 14
      with kernel of order 490
      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 12
      
      of order 42
      with kernel of order 490
      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
    
    
  24. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 245
      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>
    
    
  25. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  26. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 34 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  27. Skew morphsim class of size 42
      
      of order 49
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 48 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  28. Skew morphsim class of size 168
      
      of order 245
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 244 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  29. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 245
      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>
    
    
  30. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 245
      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>
    
    
  31. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 19 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  32. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 245
      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>
    
    
  33. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 245
      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>
    
    
  34. Skew morphsim class of size 48
      
      of order 105
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 64 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  35. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 169 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  36. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  37. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  38. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  39. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 245
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  40. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 70
      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
    
    
  41. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 70
      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
    
    
  42. Skew morphsim class of size 72
      
      of order 21
      with kernel of order 70
      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
    
    
  43. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 70
      and smallest kernel generator 7
      and power function values [ 1, 5, 9, 13, 17, 21, 25 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  44. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 70
      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
    
    
  45. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 70
      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
    
    
  46. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 70
      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
    
    
  47. Skew morphsim class of size 144
      
      of order 70
      with kernel of order 35
      and smallest kernel generator 14
      and power function values [ 1, 9, 31, 39, 61, 69, 21, 29, 51, 59, 11, 19, 41, 49 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  48. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 70
      and smallest kernel generator 7
      and power function values [ 1, 13, 25, 37, 49, 61, 73 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  49. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 70
      and smallest kernel generator 7
      and power function values [ 1, 13, 25, 37, 49, 61, 73 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  50. Skew morphsim class of size 288
      
      of order 105
      with kernel of order 35
      and smallest kernel generator 14
      and power function values [ 1, 4, 91, 94, 76, 79, 61, 64, 46, 49, 31, 34, 16, 19 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  51. Skew morphsim class of size 288
      
      of order 210
      with kernel of order 35
      and smallest kernel generator 14
      and power function values [ 1, 19, 121, 139, 31, 49, 151, 169, 61, 79, 181, 199, 91, 109 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  52. Skew morphsim class of size 252
      
      of order 49
      with kernel of order 35
      and smallest kernel generator 14
      and power function values [ 1, 6, 43, 13, 36, 20, 29, 27, 22, 34, 15, 41, 8, 48 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  53. Skew morphsim class of size 1008
      
      of order 245
      with kernel of order 35
      and smallest kernel generator 14
      and power function values [ 1, 34, 211, 69, 176, 104, 141, 139, 106, 174, 71, 209, 36, 244 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  54. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 35
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 27, 71, 41, 57, 55, 43, 69, 29, 83, 15, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    
  55. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 35
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 125, 169, 41, 57, 153, 141, 69, 29, 181, 113, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>