n = 676 = 22·132

Number of selected skew morphism classes of C_676 is 0
Total number of skew morphisms of C_676 is 11640
Total number of skew morphism classes of C_676 is 43
Total number of automorphisms of C_676 is 312
  1. Skew morphsim class of size 24 #
      
      of order 78 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  2. Skew morphsim class of size 24 #
      
      of order 52 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  3. Skew morphsim class of size 12 #
      
      of order 26 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  4. Skew morphsim class of size 24 #
      
      of order 39 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  5. Skew morphsim class of size 48 #
      
      of order 156 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  6. Skew morphsim class of size 12 #
      
      of order 13 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  7. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  8. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  9. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  10. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  11. Skew morphsim class of size 2 #
      
      of order 3 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  12. Skew morphsim class of size 24 #
      
      of order 78 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  13. Skew morphsim class of size 24 #
      
      of order 52 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  14. Skew morphsim class of size 12 #
      
      of order 26 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  15. Skew morphsim class of size 24 #
      
      of order 78 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  16. Skew morphsim class of size 48 #
      
      of order 156 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  17. Skew morphsim class of size 12 #
      
      of order 26 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  18. Skew morphsim class of size 4 #
      
      of order 12 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  19. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  20. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  21. Skew morphsim class of size 2 #
      
      of order 4 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  22. Skew morphsim class of size 2 #
      
      of order 6 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  23. Skew morphsim class of size 1 #
      
      of order 2 
      with kernel of order 676
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    
  24. Skew morphsim class of size 12 #
      
      of order 13 
      with kernel of order 338
      and smallest kernel generator 2
      and power function values [ 1, 12 ] #
      and with periodicity 1
    
    
  25. Skew morphsim class of size 12 #
      
      of order 26 
      with kernel of order 338
      and smallest kernel generator 2
      and power function values [ 1, 25 ] #
      and with periodicity 1
    
    
  26. Skew morphsim class of size 156 #
      
      of order 169 
      with kernel of order 338
      and smallest kernel generator 2
      and power function values [ 1, 168 ] #
      and with periodicity 1
    
    
  27. Skew morphsim class of size 156 #
      
      of order 338 
      with kernel of order 338
      and smallest kernel generator 2
      and power function values [ 1, 337 ] #
      and with periodicity 1
    
    
  28. Skew morphsim class of size 24 #
      
      of order 13 
      with kernel of order 169
      and smallest kernel generator 4
      and power function values [ 1, 8, 12, 5 ] #
      and with periodicity 1
    
    
  29. Skew morphsim class of size 312 #
      
      of order 169 
      with kernel of order 169
      and smallest kernel generator 4
      and power function values [ 1, 99, 168, 70 ] #
      and with periodicity 1
    
    
  30. Skew morphsim class of size 144 #
      
      of order 26 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 ] #
      and with periodicity 2
    
    
  31. Skew morphsim class of size 144 #
      
      of order 26 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 ] #
      and with periodicity 2
    
    
  32. Skew morphsim class of size 288 #
      
      of order 39 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37 ] #
      and with periodicity 3
    
    
  33. Skew morphsim class of size 288 #
      
      of order 52 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49 ] #
      and with periodicity 4
    
    
  34. Skew morphsim class of size 288 #
      
      of order 52 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49 ] #
      and with periodicity 4
    
    
  35. Skew morphsim class of size 288 #
      
      of order 78 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73 ] #
      and with periodicity 3
    
    
  36. Skew morphsim class of size 288 #
      
      of order 78 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73 ] #
      and with periodicity 6
    
    
  37. Skew morphsim class of size 288 #
      
      of order 78 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73 ] #
      and with periodicity 6
    
    
  38. Skew morphsim class of size 576 #
      
      of order 156 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145 ] #
      and with periodicity 12
    
    
  39. Skew morphsim class of size 576 #
      
      of order 156 
      with kernel of order 52
      and smallest kernel generator 13
      and power function values [ 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 145 ] #
      and with periodicity 12
    
    
  40. Skew morphsim class of size 1872 #
      
      of order 169 
      with kernel of order 26
      and smallest kernel generator 26
      and power function values [ 1, 129, 27, 103, 53, 77, 79, 51, 105, 25, 131, 168, 157, 142, 14, 116, 40, 90, 66, 64, 92, 38, 118, 12, 144, 155 ] #
      and with periodicity 13
    
    
  41. Skew morphsim class of size 3744 #
      
      of order 169 
      with kernel of order 13
      and smallest kernel generator 52
      and power function values [ 1, 8, 103, 83, 14, 112, 90, 148, 27, 47, 77, 44, 40, 151, 64, 109, 53, 86, 51, 5, 66, 21, 38, 70, 79, 125, 25, 135, 92, 60, 12, 31, 105, 164, 168, 96, 118, 99, 155, 161, 131, 34, 142, 57, 144, 138, 129, 122, 157, 73, 116, 18 ] #
      and with periodicity 13
    
    
  42. Skew morphsim class of size 1872 #
      
      of order 338 
      with kernel of order 26
      and smallest kernel generator 26
      and power function values [ 1, 129, 27, 103, 53, 77, 79, 51, 105, 25, 131, 337, 157, 311, 183, 285, 209, 259, 235, 233, 261, 207, 287, 181, 313, 155 ] #
      and with periodicity 13