Number of selected skew morphism classes of C688 is 0
Total number of skew morphisms of C688 is 1680
Total number of skew morphism classes of C688 is 90
Total number of automorphisms of C688 is 336

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 688
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 688
     φ | √φ | φ' | φ|<688>
   
   

2. Skew morphsim class of size 6
     
     of order 7
     with kernel of order 688
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 7
     φ | √φ | φ' | φ7
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 688
     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 6
     
     of order 14
     with kernel of order 688
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 14
     φ | √φ | φ' | φ14
   
   

5. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 688
     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
   
   

6. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 688
     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
   
   

7. Skew morphsim class of size 12
     
     of order 21
     with kernel of order 688
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 21
     φ | √φ | φ' | φ21
   
   

8. Skew morphsim class of size 12
     
     of order 42
     with kernel of order 688
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 42
     φ | √φ | φ' | φ42
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 688
     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 4
      with kernel of order 688
      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
    
    

11. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

12. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

13. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 688
      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
    
    

14. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

15. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 688
      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
    
    

16. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

17. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

18. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    

19. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

20. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    

21. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 688
      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 12
      
      of order 28
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

23. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 688
      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
    
    

24. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 28
      φ | √φ | φ' | φ28
    
    

25. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

26. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    

27. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 12
      φ | √φ | φ' | φ12
    
    

28. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 84
      φ | √φ | φ' | φ84
    
    

29. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 688
      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
    
    

30. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

31. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 688
      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
    
    

32. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 688
      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
    
    

34. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

35. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 688
      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
    
    

36. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

37. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 688
      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
    
    

38. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

39. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 688
      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
    
    

40. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

41. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 688
      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
    
    

42. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

43. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 688
      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
    
    

44. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 14
      φ | √φ | φ' | φ14
    
    

45. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 688
      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
    
    

46. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

47. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 688
      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
    
    

48. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 688
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 42
      φ | √φ | φ' | φ42
    
    

49. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

50. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

51. Skew morphsim class of size 42
      
      of order 43
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 42 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

52. Skew morphsim class of size 42
      
      of order 86
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

53. Skew morphsim class of size 84
      
      of order 172
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 171 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

54. Skew morphsim class of size 168
      
      of order 344
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 343 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

55. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      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 8
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

57. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

58. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

59. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

60. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

61. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

62. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

63. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

64. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

65. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

66. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

67. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

69. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

70. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

71. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 3 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

72. Skew morphsim class of size 84
      
      of order 172
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 171 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

73. Skew morphsim class of size 84
      
      of order 172
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

74. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

75. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

76. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

77. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

78. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 43 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

79. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

80. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

81. Skew morphsim class of size 4
      
      of order 8
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

82. Skew morphsim class of size 84
      
      of order 172
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

83. Skew morphsim class of size 168
      
      of order 344
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 343 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

84. Skew morphsim class of size 24
      
      of order 56
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 15 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

85. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

86. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

87. Skew morphsim class of size 8
      
      of order 24
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

88. Skew morphsim class of size 48
      
      of order 168
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 127 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

89. Skew morphsim class of size 42
      
      of order 86
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

90. Skew morphsim class of size 42
      
      of order 86
      with kernel of order 344
      and smallest kernel generator 2
      and power function values [ 1, 85 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>