Number of selected skew morphism classes of C_1156 is 0
Total number of skew morphisms of C_1156 is 26784
Total number of skew morphism classes of C_1156 is 37
Total number of automorphisms of C_1156 is 544

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 1156
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 32 #
     
     of order 68 √
     with kernel of order 1156
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 64 #
     
     of order 136 √
     with kernel of order 1156
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 128 #
     
     of order 272 √
     with kernel of order 1156
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 16 #
     
     of order 34 √
     with kernel of order 1156
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 8 #
     
     of order 16 √
     with kernel of order 1156
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 16 #
     
     of order 17 √
     with kernel of order 1156
     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 1156
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 4 #
     
     of order 8 √
     with kernel of order 1156
     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 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 32 #
      
      of order 68 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 64 #
      
      of order 136 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 128 #
      
      of order 272 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 16 #
      
      of order 34 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 8 #
      
      of order 16 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 16 #
      
      of order 34 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 4 #
      
      of order 8 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 1156
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 16 #
      
      of order 17 √
      with kernel of order 578
      and smallest kernel generator 2
      and power function values [ 1, 16 ] #
      and with periodicity 1
    
    

22. Skew morphsim class of size 16 #
      
      of order 34 √
      with kernel of order 578
      and smallest kernel generator 2
      and power function values [ 1, 33 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 272 #
      
      of order 289 √
      with kernel of order 578
      and smallest kernel generator 2
      and power function values [ 1, 288 ] #
      and with periodicity 1
    
    

24. Skew morphsim class of size 272 #
      
      of order 578 √
      with kernel of order 578
      and smallest kernel generator 2
      and power function values [ 1, 577 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 32 #
      
      of order 17 √
      with kernel of order 289
      and smallest kernel generator 4
      and power function values [ 1, 4, 16, 13 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 544 #
      
      of order 289 √
      with kernel of order 289
      and smallest kernel generator 4
      and power function values [ 1, 38, 288, 251 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 256 #
      
      of order 34 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 ] #
      and with periodicity 2
    
    

28. Skew morphsim class of size 256 #
      
      of order 34 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33 ] #
      and with periodicity 2
    
    

29. Skew morphsim class of size 512 #
      
      of order 68 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65 ] #
      and with periodicity 4
    
    

30. Skew morphsim class of size 512 #
      
      of order 68 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65 ] #
      and with periodicity 4
    
    

31. Skew morphsim class of size 1024 #
      
      of order 136 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129 ] #
      and with periodicity 8
    
    

32. Skew morphsim class of size 1024 #
      
      of order 136 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129 ] #
      and with periodicity 8
    
    

33. Skew morphsim class of size 2048 #
      
      of order 272 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 257 ] #
      and with periodicity 16
    
    

34. Skew morphsim class of size 2048 #
      
      of order 272 √
      with kernel of order 68
      and smallest kernel generator 17
      and power function values [ 1, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 257 ] #
      and with periodicity 16
    
    

35. Skew morphsim class of size 4352 #
      
      of order 289 √
      with kernel of order 34
      and smallest kernel generator 34
      and power function values [ 1, 237, 35, 203, 69, 169, 103, 135, 137, 101, 171, 67, 205, 33, 239, 288, 273, 254, 18, 220, 52, 186, 86, 152, 120, 118, 154, 84, 188, 50, 222, 16, 256, 271 ] #
      and with periodicity 17
    
    

36. Skew morphsim class of size 8704 #
      
      of order 289 √
      with kernel of order 17
      and smallest kernel generator 68
      and power function values [ 1, 89, 237, 64, 18, 157, 220, 285, 35, 225, 203, 217, 52, 4, 186, 149, 69, 72, 169, 81, 86, 140, 152, 13, 103, 208, 135, 234, 120, 276, 118, 166, 137, 55, 101, 98, 154, 123, 84, 30, 171, 191, 67, 251, 188, 259, 50, 183, 205, 38, 33, 115, 222, 106, 16, 47, 239, 174, 288, 268, 256, 242, 271, 200, 273, 21, 254, 132 ] #
      and with periodicity 17
    
    

37. Skew morphsim class of size 4352 #
      
      of order 578 √
      with kernel of order 34
      and smallest kernel generator 34
      and power function values [ 1, 237, 35, 203, 69, 169, 103, 135, 137, 101, 171, 67, 205, 33, 239, 577, 273, 543, 307, 509, 341, 475, 375, 441, 409, 407, 443, 373, 477, 339, 511, 305, 545, 271 ] #
      and with periodicity 17