Number of selected skew morphism classes of C_1089 is 0
Total number of skew morphisms of C_1089 is 10100
Total number of skew morphism classes of C_1089 is 55
Total number of automorphisms of C_1089 is 660

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 4 #
     
     of order 5 √
     with kernel of order 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 40 #
     
     of order 110 √
     with kernel of order 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 40 #
     
     of order 55 √
     with kernel of order 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 10 #
     
     of order 11 √
     with kernel of order 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 10 #
     
     of order 22 √
     with kernel of order 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 4 #
     
     of order 10 √
     with kernel of order 1089
     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 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 8 #
     
     of order 30 √
     with kernel of order 1089
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 80 #
      
      of order 330 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 80 #
      
      of order 330 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 20 #
      
      of order 66 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 20 #
      
      of order 66 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 8 #
      
      of order 30 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 8 #
      
      of order 15 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 80 #
      
      of order 330 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 80 #
      
      of order 165 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 20 #
      
      of order 33 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 20 #
      
      of order 66 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

22. Skew morphsim class of size 2 #
      
      of order 3 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 8 #
      
      of order 30 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

24. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 4 #
      
      of order 10 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 40 #
      
      of order 110 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 40 #
      
      of order 110 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

28. Skew morphsim class of size 10 #
      
      of order 22 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

29. Skew morphsim class of size 10 #
      
      of order 22 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

30. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

31. Skew morphsim class of size 4 #
      
      of order 10 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

32. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 1089
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

33. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

34. Skew morphsim class of size 4 #
      
      of order 6 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 3, 5 ] #
      and with periodicity 2
    
    

35. Skew morphsim class of size 100 #
      
      of order 22 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 ] #
      and with periodicity 2
    
    

36. Skew morphsim class of size 100 #
      
      of order 22 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 ] #
      and with periodicity 2
    
    

37. Skew morphsim class of size 16 #
      
      of order 30 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ] #
      and with periodicity 2
    
    

38. Skew morphsim class of size 16 #
      
      of order 30 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 11, 21 ] #
      and with periodicity 2
    
    

39. Skew morphsim class of size 400 #
      
      of order 55 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51 ] #
      and with periodicity 5
    
    

40. Skew morphsim class of size 40 #
      
      of order 66 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 23, 45 ] #
      and with periodicity 2
    
    

41. Skew morphsim class of size 40 #
      
      of order 66 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 23, 45 ] #
      and with periodicity 2
    
    

42. Skew morphsim class of size 200 #
      
      of order 66 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61 ] #
      and with periodicity 2
    
    

43. Skew morphsim class of size 200 #
      
      of order 66 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61 ] #
      and with periodicity 2
    
    

44. Skew morphsim class of size 400 #
      
      of order 66 √
      with kernel of order 33
      and smallest kernel generator 33
      and power function values [ 1, 51, 35, 19, 3, 53, 37, 21, 5, 55, 39, 23, 7, 57, 41, 25, 9, 59, 43, 27, 11, 61, 45, 29, 13, 63, 47, 31, 15, 65, 49, 33, 17 ] #
      and with periodicity 2
    
    

45. Skew morphsim class of size 400 #
      
      of order 110 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101 ] #
      and with periodicity 5
    
    

46. Skew morphsim class of size 400 #
      
      of order 110 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101 ] #
      and with periodicity 10
    
    

47. Skew morphsim class of size 400 #
      
      of order 110 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101 ] #
      and with periodicity 10
    
    

48. Skew morphsim class of size 800 #
      
      of order 165 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 16, 31, 46, 61, 76, 91, 106, 121, 136, 151 ] #
      and with periodicity 5
    
    

49. Skew morphsim class of size 160 #
      
      of order 330 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 111, 221 ] #
      and with periodicity 2
    
    

50. Skew morphsim class of size 160 #
      
      of order 330 √
      with kernel of order 363
      and smallest kernel generator 3
      and power function values [ 1, 111, 221 ] #
      and with periodicity 2
    
    

51. Skew morphsim class of size 800 #
      
      of order 330 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 31, 61, 91, 121, 151, 181, 211, 241, 271, 301 ] #
      and with periodicity 5
    
    

52. Skew morphsim class of size 800 #
      
      of order 330 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 31, 61, 91, 121, 151, 181, 211, 241, 271, 301 ] #
      and with periodicity 10
    
    

53. Skew morphsim class of size 800 #
      
      of order 330 √
      with kernel of order 99
      and smallest kernel generator 11
      and power function values [ 1, 31, 61, 91, 121, 151, 181, 211, 241, 271, 301 ] #
      and with periodicity 10
    
    

54. Skew morphsim class of size 1600 #
      
      of order 330 √
      with kernel of order 33
      and smallest kernel generator 33
      and power function values [ 1, 251, 171, 91, 11, 261, 181, 101, 21, 271, 191, 111, 31, 281, 201, 121, 41, 291, 211, 131, 51, 301, 221, 141, 61, 311, 231, 151, 71, 321, 241, 161, 81 ] #
      and with periodicity 10
    
    

55. Skew morphsim class of size 1600 #
      
      of order 330 √
      with kernel of order 33
      and smallest kernel generator 33
      and power function values [ 1, 251, 171, 91, 11, 261, 181, 101, 21, 271, 191, 111, 31, 281, 201, 121, 41, 291, 211, 131, 51, 301, 221, 141, 61, 311, 231, 151, 71, 321, 241, 161, 81 ] #
      and with periodicity 10