Number of selected skew morphism classes of C690 is 0
Total number of skew morphisms of C690 is 1408
Total number of skew morphism classes of C690 is 60
Total number of automorphisms of C690 is 176

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 690
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 690
     φ | √φ | φ' | φ|<690>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 690
     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
   
   

3. Skew morphsim class of size 10
     
     of order 11
     with kernel of order 690
     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
   
   

4. Skew morphsim class of size 10
     
     of order 22
     with kernel of order 690
     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
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 690
     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
   
   

6. Skew morphsim class of size 10
     
     of order 22
     with kernel of order 690
     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 1
     
     of order 2
     with kernel of order 690
     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
   
   

8. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 690
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 4
     φ | √φ | φ' | φ4
   
   

9. Skew morphsim class of size 10
     
     of order 22
     with kernel of order 690
     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
   
   

10. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 690
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 44
      φ | √φ | φ' | φ44
    
    

11. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 690
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

12. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 690
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 44
      φ | √φ | φ' | φ44
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 690
      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
    
    

14. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 690
      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
    
    

15. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 690
      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 10
      
      of order 22
      with kernel of order 690
      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
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 690
      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
    
    

18. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 690
      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 2
      
      of order 4
      with kernel of order 690
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

20. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 690
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 44
      φ | √φ | φ' | φ44
    
    

21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 690
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 4
      φ | √φ | φ' | φ4
    
    

22. Skew morphsim class of size 20
      
      of order 44
      with kernel of order 690
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 44
      φ | √φ | φ' | φ44
    
    

23. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 690
      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
    
    

24. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 690
      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
    
    

25. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 2 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

26. Skew morphsim class of size 4
      
      of order 5
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

27. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 14 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

28. Skew morphsim class of size 22
      
      of order 23
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 22 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

29. Skew morphsim class of size 44
      
      of order 69
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 68 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

30. Skew morphsim class of size 88
      
      of order 115
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 114 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 176
      
      of order 345
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 344 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 22
      
      of order 46
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 45 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 137 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

37. Skew morphsim class of size 40
      
      of order 55
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 34 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 80
      
      of order 165
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 40
      
      of order 132
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 44
      
      of order 92
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 45 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 88
      
      of order 276
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 137 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

44. Skew morphsim class of size 40
      
      of order 132
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

45. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

46. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

47. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 29 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

48. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

49. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

50. Skew morphsim class of size 80
      
      of order 330
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

51. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

52. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

53. Skew morphsim class of size 44
      
      of order 92
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 45 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

54. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

55. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

56. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 9 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

57. Skew morphsim class of size 22
      
      of order 46
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 45 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

58. Skew morphsim class of size 88
      
      of order 230
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 229 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

59. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

60. Skew morphsim class of size 22
      
      of order 46
      with kernel of order 345
      and smallest kernel generator 2
      and power function values [ 1, 45 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>