Number of selected skew morphism classes of C392 is 0
Total number of skew morphisms of C392 is 3132
Total number of skew morphism classes of C392 is 70
Total number of automorphisms of C392 is 168

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 392
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 392
     φ | √φ | φ' | φ|<392>
   
   

2. Skew morphsim class of size 6
     
     of order 7
     with kernel of order 392
     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 2
     
     of order 3
     with kernel of order 392
     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
   
   

4. Skew morphsim class of size 12
     
     of order 21
     with kernel of order 392
     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
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 392
     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 2
     
     of order 6
     with kernel of order 392
     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 6
     
     of order 14
     with kernel of order 392
     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
   
   

8. Skew morphsim class of size 12
     
     of order 42
     with kernel of order 392
     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 392
     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 6
      
      of order 14
      with kernel of order 392
      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
    
    

11. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 392
      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 12
      
      of order 42
      with kernel of order 392
      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
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 392
      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 2
      
      of order 6
      with kernel of order 392
      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
    
    

15. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 392
      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
    
    

16. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 392
      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
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 392
      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 6
      
      of order 14
      with kernel of order 392
      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
    
    

19. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 392
      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
    
    

20. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 392
      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
    
    

21. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 392
      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
    
    

22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 392
      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
    
    

23. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 392
      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
    
    

24. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 392
      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
    
    

25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 392
      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
    
    

26. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 392
      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
    
    

27. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 392
      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
    
    

28. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 392
      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
    
    

29. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 392
      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 2
      
      of order 6
      with kernel of order 392
      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
    
    

31. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 392
      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
    
    

32. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 392
      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
    
    

33. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 196
      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>
    
    

34. Skew morphsim class of size 6
      
      of order 7
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 6 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 27 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

37. Skew morphsim class of size 42
      
      of order 49
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 48 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 84
      
      of order 196
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 195 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 196
      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>
    
    

41. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 196
      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>
    
    

42. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 196
      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>
    
    

43. Skew morphsim class of size 2
      
      of order 4
      with kernel of order 196
      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>
    
    

44. Skew morphsim class of size 4
      
      of order 12
      with kernel of order 196
      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>
    
    

45. Skew morphsim class of size 12
      
      of order 28
      with kernel of order 196
      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>
    
    

46. Skew morphsim class of size 24
      
      of order 84
      with kernel of order 196
      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>
    
    

47. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

48. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

49. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

50. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 196
      and smallest kernel generator 2
      and power function values [ 1, 97 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

51. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

52. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

53. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

54. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 3, 5, 7, 9, 11, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

55. Skew morphsim class of size 72
      
      of order 21
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 4, 7, 10, 13, 16, 19 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

56. Skew morphsim class of size 72
      
      of order 28
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

57. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

58. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

59. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

60. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

61. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

62. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

63. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 56
      and smallest kernel generator 7
      and power function values [ 1, 7, 13, 19, 25, 31, 37 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

64. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

65. Skew morphsim class of size 144
      
      of order 84
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 7, 13, 19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

66. Skew morphsim class of size 252
      
      of order 49
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 6, 43, 13, 36, 20, 29, 27, 22, 34, 15, 41, 8, 48 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

67. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 27, 71, 41, 57, 55, 43, 69, 29, 83, 15, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 504
      
      of order 196
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 27, 169, 55, 141, 83, 113, 111, 85, 139, 57, 167, 29, 195 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

69. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 27, 71, 41, 57, 55, 43, 69, 29, 83, 15, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

70. Skew morphsim class of size 252
      
      of order 98
      with kernel of order 28
      and smallest kernel generator 14
      and power function values [ 1, 13, 85, 27, 71, 41, 57, 55, 43, 69, 29, 83, 15, 97 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>