Number of selected skew morphism classes of C_684 is 0
Total number of skew morphisms of C_684 is 2544
Total number of skew morphism classes of C_684 is 112
Total number of automorphisms of C_684 is 216

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

2. Skew morphsim class of size 6 #
     
     of order 9 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 6 #
     
     of order 18 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 2 #
     
     of order 3 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 6 #
     
     of order 9 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 2 #
     
     of order 3 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 6 #
     
     of order 18 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 2 #
     
     of order 3 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 2 #
     
     of order 6 √
     with kernel of order 684
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      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 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

19. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

22. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      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 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

28. Skew morphsim class of size 6 #
      
      of order 9 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

29. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

30. Skew morphsim class of size 2 #
      
      of order 3 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

31. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

32. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

33. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

34. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

35. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

36. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

37. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

38. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

39. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

40. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

41. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

42. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

43. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

44. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

45. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

46. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

47. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

48. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

49. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

50. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

51. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

52. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

53. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

54. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

55. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

56. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

57. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

58. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

59. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

60. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

61. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

62. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

63. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

64. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 684
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

65. Skew morphsim class of size 2 #
      
      of order 3 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 2 ] #
      and with periodicity 1
    
    

66. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

67. Skew morphsim class of size 6 #
      
      of order 9 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 8 ] #
      and with periodicity 1
    
    

68. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

69. Skew morphsim class of size 18 #
      
      of order 19 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 18 ] #
      and with periodicity 1
    
    

70. Skew morphsim class of size 18 #
      
      of order 38 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 37 ] #
      and with periodicity 1
    
    

71. Skew morphsim class of size 36 #
      
      of order 57 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 56 ] #
      and with periodicity 1
    
    

72. Skew morphsim class of size 36 #
      
      of order 114 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 113 ] #
      and with periodicity 1
    
    

73. Skew morphsim class of size 108 #
      
      of order 171 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 170 ] #
      and with periodicity 1
    
    

74. Skew morphsim class of size 108 #
      
      of order 342 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 341 ] #
      and with periodicity 1
    
    

75. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

76. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

77. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

78. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 17 ] #
      and with periodicity 1
    
    

79. Skew morphsim class of size 36 #
      
      of order 114 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 37 ] #
      and with periodicity 1
    
    

80. Skew morphsim class of size 36 #
      
      of order 114 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 37 ] #
      and with periodicity 1
    
    

81. Skew morphsim class of size 18 #
      
      of order 38 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 37 ] #
      and with periodicity 1
    
    

82. Skew morphsim class of size 18 #
      
      of order 38 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 37 ] #
      and with periodicity 1
    
    

83. Skew morphsim class of size 36 #
      
      of order 57 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 37 ] #
      and with periodicity 1
    
    

84. Skew morphsim class of size 36 #
      
      of order 114 √
      with kernel of order 342
      and smallest kernel generator 2
      and power function values [ 1, 37 ] #
      and with periodicity 1
    
    

85. Skew morphsim class of size 36 #
      
      of order 19 √
      with kernel of order 228
      and smallest kernel generator 3
      and power function values [ 1, 7, 11 ] #
      and with periodicity 1
    
    

86. Skew morphsim class of size 72 #
      
      of order 57 √
      with kernel of order 228
      and smallest kernel generator 3
      and power function values [ 1, 7, 49 ] #
      and with periodicity 1
    
    

87. Skew morphsim class of size 36 #
      
      of order 38 √
      with kernel of order 228
      and smallest kernel generator 3
      and power function values [ 1, 7, 11 ] #
      and with periodicity 1
    
    

88. Skew morphsim class of size 72 #
      
      of order 114 √
      with kernel of order 228
      and smallest kernel generator 3
      and power function values [ 1, 7, 49 ] #
      and with periodicity 1
    
    

89. Skew morphsim class of size 36 #
      
      of order 19 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 12, 11, 18, 7, 8 ] #
      and with periodicity 1
    
    

90. Skew morphsim class of size 36 #
      
      of order 38 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 31, 11, 37, 7, 27 ] #
      and with periodicity 1
    
    

91. Skew morphsim class of size 72 #
      
      of order 57 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 50, 49, 56, 7, 8 ] #
      and with periodicity 1
    
    

92. Skew morphsim class of size 72 #
      
      of order 57 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 26, 49, 20, 7, 11 ] #
      and with periodicity 1
    
    

93. Skew morphsim class of size 72 #
      
      of order 57 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 46, 7, 37, 49, 31 ] #
      and with periodicity 1
    
    

94. Skew morphsim class of size 72 #
      
      of order 114 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 83, 49, 77, 7, 11 ] #
      and with periodicity 1
    
    

95. Skew morphsim class of size 72 #
      
      of order 114 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 103, 7, 37, 49, 31 ] #
      and with periodicity 1
    
    

96. Skew morphsim class of size 72 #
      
      of order 114 √
      with kernel of order 114
      and smallest kernel generator 6
      and power function values [ 1, 65, 7, 113, 49, 107 ] #
      and with periodicity 1
    
    

97. Skew morphsim class of size 108 #
      
      of order 19 √
      with kernel of order 76
      and smallest kernel generator 9
      and power function values [ 1, 4, 16, 7, 9, 17, 11, 6, 5 ] #
      and with periodicity 1
    
    

98. Skew morphsim class of size 108 #
      
      of order 38 √
      with kernel of order 76
      and smallest kernel generator 9
      and power function values [ 1, 9, 5, 7, 25, 35, 11, 23, 17 ] #
      and with periodicity 1
    
    

99. Skew morphsim class of size 108 #
      
      of order 19 √
      with kernel of order 38
      and smallest kernel generator 18
      and power function values [ 1, 15, 16, 12, 9, 2, 11, 13, 5, 18, 4, 3, 7, 10, 17, 8, 6, 14 ] #
      and with periodicity 1
    
    

100. Skew morphsim class of size 108 #
       
       of order 38 √
       with kernel of order 38
       and smallest kernel generator 18
       and power function values [ 1, 29, 5, 31, 25, 3, 11, 15, 17, 37, 9, 33, 7, 13, 35, 27, 23, 21 ] #
       and with periodicity 1
     
     

101. Skew morphsim class of size 4 #
       
       of order 6 √
       with kernel of order 228
       and smallest kernel generator 3
       and power function values [ 1, 3, 5 ] #
       and with periodicity 2
     
     

102. Skew morphsim class of size 4 #
       
       of order 6 √
       with kernel of order 228
       and smallest kernel generator 3
       and power function values [ 1, 3, 5 ] #
       and with periodicity 2
     
     

103. Skew morphsim class of size 4 #
       
       of order 6 √
       with kernel of order 228
       and smallest kernel generator 3
       and power function values [ 1, 3, 5 ] #
       and with periodicity 2
     
     

104. Skew morphsim class of size 4 #
       
       of order 6 √
       with kernel of order 228
       and smallest kernel generator 3
       and power function values [ 1, 3, 5 ] #
       and with periodicity 2
     
     

105. Skew morphsim class of size 72 #
       
       of order 114 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 75, 77, 37, 39, 113 ] #
       and with periodicity 2
     
     

106. Skew morphsim class of size 72 #
       
       of order 114 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 75, 77, 37, 39, 113 ] #
       and with periodicity 2
     
     

107. Skew morphsim class of size 12 #
       
       of order 9 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 8, 7, 2, 4, 5 ] #
       and with periodicity 3
     
     

108. Skew morphsim class of size 12 #
       
       of order 18 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 17, 7, 11, 13, 5 ] #
       and with periodicity 3
     
     

109. Skew morphsim class of size 12 #
       
       of order 18 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 17, 7, 11, 13, 5 ] #
       and with periodicity 3
     
     

110. Skew morphsim class of size 12 #
       
       of order 18 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 17, 7, 11, 13, 5 ] #
       and with periodicity 3
     
     

111. Skew morphsim class of size 216 #
       
       of order 171 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 170, 115, 56, 58, 113 ] #
       and with periodicity 3
     
     

112. Skew morphsim class of size 216 #
       
       of order 342 √
       with kernel of order 114
       and smallest kernel generator 6
       and power function values [ 1, 341, 115, 227, 229, 113 ] #
       and with periodicity 3