Number of selected skew morphism classes of C_686 is 0
Total number of skew morphisms of C_686 is 25512
Total number of skew morphism classes of C_686 is 28
Total number of automorphisms of C_686 is 294

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 84 #
     
     of order 147 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 42 #
     
     of order 98 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 42 #
     
     of order 49 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 84 #
     
     of order 294 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 2 #
     
     of order 3 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 12 #
     
     of order 21 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 6 #
     
     of order 14 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 6 #
     
     of order 7 √
     with kernel of order 686
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 12 #
      
      of order 42 √
      with kernel of order 686
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 686
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 686
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 6 #
      
      of order 7 √
      with kernel of order 343
      and smallest kernel generator 2
      and power function values [ 1, 6 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 42 #
      
      of order 49 √
      with kernel of order 343
      and smallest kernel generator 2
      and power function values [ 1, 48 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 294 #
      
      of order 343 √
      with kernel of order 343
      and smallest kernel generator 2
      and power function values [ 1, 342 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 252 #
      
      of order 49 √
      with kernel of order 98
      and smallest kernel generator 7
      and power function values [ 1, 8, 15, 22, 29, 36, 43 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 252 #
      
      of order 49 √
      with kernel of order 49
      and smallest kernel generator 14
      and power function values [ 1, 6, 36, 20, 22, 34, 8, 48, 43, 13, 29, 27, 15, 41 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 36 #
      
      of order 14 √
      with kernel of order 98
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ] #
      and with periodicity 2
    
    

19. Skew morphsim class of size 72 #
      
      of order 21 √
      with kernel of order 98
      and smallest kernel generator 7
      and power function values [ 1, 4, 7, 10, 13, 16, 19 ] #
      and with periodicity 3
    
    

20. Skew morphsim class of size 72 #
      
      of order 42 √
      with kernel of order 98
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ] #
      and with periodicity 6
    
    

21. Skew morphsim class of size 252 #
      
      of order 98 √
      with kernel of order 98
      and smallest kernel generator 7
      and power function values [ 1, 15, 29, 43, 57, 71, 85 ] #
      and with periodicity 2
    
    

22. Skew morphsim class of size 504 #
      
      of order 147 √
      with kernel of order 98
      and smallest kernel generator 7
      and power function values [ 1, 22, 43, 64, 85, 106, 127 ] #
      and with periodicity 3
    
    

23. Skew morphsim class of size 504 #
      
      of order 294 √
      with kernel of order 98
      and smallest kernel generator 7
      and power function values [ 1, 43, 85, 127, 169, 211, 253 ] #
      and with periodicity 6
    
    

24. Skew morphsim class of size 1764 #
      
      of order 343 √
      with kernel of order 49
      and smallest kernel generator 14
      and power function values [ 1, 293, 50, 244, 99, 195, 148, 146, 197, 97, 246, 48, 295, 342 ] #
      and with periodicity 7
    
    

25. Skew morphsim class of size 1764 #
      
      of order 98 √
      with kernel of order 14
      and smallest kernel generator 49
      and power function values [ 1, 59, 75, 49, 79, 67, 13, 15, 73, 89, 63, 93, 81, 27, 29, 87, 5, 77, 9, 95, 41, 43, 3, 19, 91, 23, 11, 55, 57, 17, 33, 7, 37, 25, 69, 71, 31, 47, 21, 51, 39, 83, 85, 45, 61, 35, 65, 53, 97 ] #
      and with periodicity 14
    
    

26. Skew morphsim class of size 3528 #
      
      of order 147 √
      with kernel of order 14
      and smallest kernel generator 49
      and power function values [ 1, 88, 70, 94, 13, 121, 124, 22, 109, 91, 115, 34, 142, 145, 43, 130, 112, 136, 55, 16, 19, 64, 4, 133, 10, 76, 37, 40, 85, 25, 7, 31, 97, 58, 61, 106, 46, 28, 52, 118, 79, 82, 127, 67, 49, 73, 139, 100, 103 ] #
      and with periodicity 21
    
    

27. Skew morphsim class of size 3528 #
      
      of order 294 √
      with kernel of order 14
      and smallest kernel generator 49
      and power function values [ 1, 133, 97, 187, 109, 157, 37, 43, 175, 139, 229, 151, 199, 79, 85, 217, 181, 271, 193, 241, 121, 127, 259, 223, 19, 235, 283, 163, 169, 7, 265, 61, 277, 31, 205, 211, 49, 13, 103, 25, 73, 247, 253, 91, 55, 145, 67, 115, 289 ] #
      and with periodicity 42
    
    

28. Skew morphsim class of size 12348 #
      
      of order 343 √
      with kernel of order 7
      and smallest kernel generator 98
      and power function values [ 1, 90, 57, 132, 162, 125, 316, 69, 176, 307, 85, 153, 43, 293, 50, 41, 106, 83, 211, 76, 22, 20, 225, 258, 134, 104, 92, 244, 99, 335, 155, 34, 260, 27, 71, 314, 274, 209, 183, 55, 141, 195, 148, 286, 204, 328, 309, 321, 120, 265, 323, 160, 232, 6, 190, 146, 197, 237, 253, 279, 15, 272, 169, 216, 29, 111, 281, 300, 239, 97, 246, 188, 302, 230, 64, 223, 218, 167, 78, 62, 330, 251, 288, 48, 295, 139, 8, 181, 113, 174, 267, 118, 127, 13, 36, 202, 337, 342 ] #
      and with periodicity 49