Number of selected skew morphism classes of C1089 is 0
Total number of skew morphisms of C1089 is 10100
Total number of skew morphism classes of C1089 is 55
Total number of automorphisms of C1089 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
     and with complexity 0
     and with auto-order 1089
     φ | √φ | φ' | φ|<1089>
   
   

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
     and with complexity 1
     and with auto-order 5
     φ | √φ | φ' | φ5
   
   

3. 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
     and with complexity 1
     and with auto-order 2
     φ | √φ | φ' | φ2
   
   

4. 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
     and with complexity 1
     and with auto-order 10
     φ | √φ | φ' | φ10
   
   

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
     and with complexity 1
     and with auto-order 11
     φ | √φ | φ' | φ11
   
   

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
     and with complexity 1
     and with auto-order 22
     φ | √φ | φ' | φ22
   
   

7. 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
     and with complexity 1
     and with auto-order 55
     φ | √φ | φ' | φ55
   
   

8. 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
     and with complexity 1
     and with auto-order 110
     φ | √φ | φ' | φ110
   
   

9. 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
     and with complexity 1
     and with auto-order 2
     φ | √φ | φ' | φ2
   
   

10. 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
      and with complexity 1
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

11. 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
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

12. 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
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

13. 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
      and with complexity 1
      and with auto-order 15
      φ | √φ | φ' | φ15
    
    

14. 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
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

15. 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
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

17. 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
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

18. 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
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    

19. 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
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

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
      and with complexity 1
      and with auto-order 33
      φ | √φ | φ' | φ33
    
    

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
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    

22. 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
      and with complexity 1
      and with auto-order 110
      φ | √φ | φ' | φ110
    
    

23. 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
      and with complexity 1
      and with auto-order 165
      φ | √φ | φ' | φ165
    
    

24. 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
      and with complexity 1
      and with auto-order 330
      φ | √φ | φ' | φ330
    
    

25. 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
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    

26. 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
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    

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
      and with complexity 1
      and with auto-order 110
      φ | √φ | φ' | φ110
    
    

28. 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
      and with complexity 1
      and with auto-order 330
      φ | √φ | φ' | φ330
    
    

29. 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
      and with complexity 1
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

30. 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
      and with complexity 1
      and with auto-order 30
      φ | √φ | φ' | φ30
    
    

31. 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
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    

32. 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
      and with complexity 1
      and with auto-order 330
      φ | √φ | φ' | φ330
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

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
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

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
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

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
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

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
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

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
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

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
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

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, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 201, 211, 221, 231, 241, 251, 261, 271, 281, 291, 301, 311, 321 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

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, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 201, 211, 221, 231, 241, 251, 261, 271, 281, 291, 301, 311, 321 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10