n = 1715 = 5·73

Number of selected skew morphism classes of C1715 is 0
Total number of skew morphisms of C1715 is 43224
Total number of skew morphism classes of C1715 is 66
Total number of automorphisms of C1715 is 1176
  1. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1715
      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 1715
      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 1715
      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 6
      
      of order 7
      with kernel of order 1715
      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
    
    
  5. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1715
      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
    
    
  6. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 1715
      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
    
    
  7. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1715
      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
    
    
  8. Skew morphsim class of size 42
      
      of order 49
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 49
      φ | √φ | φ' | φ49
    
    
  9. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 98
      φ | √φ | φ' | φ98
    
    
  10. Skew morphsim class of size 84
      
      of order 147
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 147
      φ | √φ | φ' | φ147
    
    
  11. Skew morphsim class of size 84
      
      of order 294
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 294
      φ | √φ | φ' | φ294
    
    
  12. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1715
      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 4
      with kernel of order 1715
      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
    
    
  14. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1715
      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
    
    
  15. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1715
      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
    
    
  16. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1715
      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
    
    
  17. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 1715
      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
    
    
  18. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1715
      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
    
    
  19. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 1715
      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
    
    
  20. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 98
      φ | √φ | φ' | φ98
    
    
  21. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 196
      φ | √φ | φ' | φ196
    
    
  22. Skew morphsim class of size 84
      
      of order 294
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 294
      φ | √φ | φ' | φ294
    
    
  23. Skew morphsim class of size 168
      
      of order 588
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 588
      φ | √φ | φ' | φ588
    
    
  24. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 1715
      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
    
    
  25. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 1715
      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
    
    
  26. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 196
      φ | √φ | φ' | φ196
    
    
  27. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 1715
      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
    
    
  28. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 1715
      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
    
    
  29. Skew morphsim class of size 168
      
      of order 588
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 588
      φ | √φ | φ' | φ588
    
    
  30. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1715
      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
    
    
  31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1715
      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
    
    
  32. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1715
      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
    
    
  33. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1715
      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
    
    
  34. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 98
      φ | √φ | φ' | φ98
    
    
  35. Skew morphsim class of size 84
      
      of order 294
      with kernel of order 1715
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 294
      φ | √φ | φ' | φ294
    
    
  36. Skew morphsim class of size 252
      
      of order 49
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 8, 15, 22, 29, 36, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 7
      φ | √φ | φ' | φ|<7>
    
    
  37. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 15, 29, 43, 57, 71, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 7
      φ | √φ | φ' | φ|<7>
    
    
  38. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 29, 57, 85, 113, 141, 169 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 7
      φ | √φ | φ' | φ|<7>
    
    
  39. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 245
      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
    
    
  40. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 245
      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 72
      
      of order 21
      with kernel of order 245
      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
    
    
  42. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 245
      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
    
    
  43. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 245
      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
    
    
  44. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 245
      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
    
    
  45. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 245
      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 144
      
      of order 84
      with kernel of order 245
      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
    
    
  47. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 245
      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
    
    
  48. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 15, 29, 43, 57, 71, 85 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  49. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 15, 29, 43, 57, 71, 85 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  50. Skew morphsim class of size 504
      
      of order 147
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 22, 43, 64, 85, 106, 127 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  51. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 29, 57, 85, 113, 141, 169 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  52. Skew morphsim class of size 504
      
      of order 294
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 43, 85, 127, 169, 211, 253 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  53. Skew morphsim class of size 504
      
      of order 294
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 43, 85, 127, 169, 211, 253 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  54. Skew morphsim class of size 504
      
      of order 294
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 43, 85, 127, 169, 211, 253 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  55. Skew morphsim class of size 1008
      
      of order 588
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 85, 169, 253, 337, 421, 505 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  56. Skew morphsim class of size 1008
      
      of order 588
      with kernel of order 245
      and smallest kernel generator 7
      and power function values [ 1, 85, 169, 253, 337, 421, 505 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  57. Skew morphsim class of size 1764
      
      of order 98
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 3, 47, 35, 65, 39, 55, 15, 17, 61, 49, 79, 53, 69, 29, 31, 75, 63, 93, 67, 83, 43, 45, 89, 77, 9, 81, 97, 57, 59, 5, 91, 23, 95, 13, 71, 73, 19, 7, 37, 11, 27, 85, 87, 33, 21, 51, 25, 41 ]
      and with periodicity 14
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  58. Skew morphsim class of size 1764
      
      of order 98
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 3, 47, 35, 65, 39, 55, 15, 17, 61, 49, 79, 53, 69, 29, 31, 75, 63, 93, 67, 83, 43, 45, 89, 77, 9, 81, 97, 57, 59, 5, 91, 23, 95, 13, 71, 73, 19, 7, 37, 11, 27, 85, 87, 33, 21, 51, 25, 41 ]
      and with periodicity 14
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  59. Skew morphsim class of size 3528
      
      of order 147
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 4, 112, 31, 55, 37, 124, 22, 25, 133, 52, 76, 58, 145, 43, 46, 7, 73, 97, 79, 19, 64, 67, 28, 94, 118, 100, 40, 85, 88, 49, 115, 139, 121, 61, 106, 109, 70, 136, 13, 142, 82, 127, 130, 91, 10, 34, 16, 103 ]
      and with periodicity 21
      and with complexity 5
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  60. Skew morphsim class of size 3528
      
      of order 196
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 17, 173, 77, 121, 109, 41, 113, 129, 89, 189, 37, 25, 153, 29, 45, 5, 105, 149, 137, 69, 141, 157, 117, 21, 65, 53, 181, 57, 73, 33, 133, 177, 165, 97, 169, 185, 145, 49, 93, 81, 13, 85, 101, 61, 161, 9, 193, 125 ]
      and with periodicity 14
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    
  61. Skew morphsim class of size 3528
      
      of order 294
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 25, 7, 241, 139, 289, 103, 169, 193, 175, 115, 13, 163, 271, 43, 67, 49, 283, 181, 37, 145, 211, 235, 217, 157, 55, 205, 19, 85, 109, 91, 31, 223, 79, 187, 253, 277, 259, 199, 97, 247, 61, 127, 151, 133, 73, 265, 121, 229 ]
      and with periodicity 21
      and with complexity 5
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  62. Skew morphsim class of size 3528
      
      of order 294
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 7, 181, 229, 151, 241, 205, 43, 49, 223, 271, 193, 283, 247, 85, 91, 265, 19, 235, 31, 289, 127, 133, 13, 61, 277, 73, 37, 169, 175, 55, 103, 25, 115, 79, 211, 217, 97, 145, 67, 157, 121, 253, 259, 139, 187, 109, 199, 163 ]
      and with periodicity 42
      and with complexity 5
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  63. Skew morphsim class of size 3528
      
      of order 294
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 7, 181, 229, 151, 241, 205, 43, 49, 223, 271, 193, 283, 247, 85, 91, 265, 19, 235, 31, 289, 127, 133, 13, 61, 277, 73, 37, 169, 175, 55, 103, 25, 115, 79, 211, 217, 97, 145, 67, 157, 121, 253, 259, 139, 187, 109, 199, 163 ]
      and with periodicity 42
      and with complexity 5
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    
  64. Skew morphsim class of size 7056
      
      of order 588
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 25, 301, 241, 433, 289, 397, 169, 193, 469, 409, 13, 457, 565, 337, 361, 49, 577, 181, 37, 145, 505, 529, 217, 157, 349, 205, 313, 85, 109, 385, 325, 517, 373, 481, 253, 277, 553, 493, 97, 541, 61, 421, 445, 133, 73, 265, 121, 229 ]
      and with periodicity 21
      and with complexity 5
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    
  65. Skew morphsim class of size 7056
      
      of order 588
      with kernel of order 35
      and smallest kernel generator 49
      and power function values [ 1, 49, 265, 61, 25, 157, 457, 337, 385, 13, 397, 361, 493, 205, 85, 133, 349, 145, 109, 241, 541, 421, 469, 97, 481, 445, 577, 289, 169, 217, 433, 229, 193, 325, 37, 505, 553, 181, 565, 529, 73, 373, 253, 301, 517, 313, 277, 409, 121 ]
      and with periodicity 42
      and with complexity 5
      and with auto-order 6
      φ | √φ | φ' | φ6