Number of selected skew morphism classes of C1278 is 0
Total number of skew morphisms of C1278 is 4200
Total number of skew morphism classes of C1278 is 72
Total number of automorphisms of C1278 is 420

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1278
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1278
     φ | √φ | φ' | φ|<1278>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1278
     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 2
     
     of order 3
     with kernel of order 1278
     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 4
     
     of order 5
     with kernel of order 1278
     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
   
   

5. Skew morphsim class of size 2
     
     of order 6
     with kernel of order 1278
     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
   
   

6. Skew morphsim class of size 6
     
     of order 7
     with kernel of order 1278
     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
   
   

7. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 1278
     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
   
   

8. Skew morphsim class of size 6
     
     of order 14
     with kernel of order 1278
     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
   
   

9. Skew morphsim class of size 8
     
     of order 15
     with kernel of order 1278
     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
   
   

10. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 1278
      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
    
    

11. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1278
      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
    
    

12. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 35
      φ | √φ | φ' | φ35
    
    

13. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1278
      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
    
    

14. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    

15. Skew morphsim class of size 48
      
      of order 105
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 105
      φ | √φ | φ' | φ105
    
    

16. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 210
      φ | √φ | φ' | φ210
    
    

17. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1278
      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 2
      
      of order 6
      with kernel of order 1278
      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
    
    

19. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1278
      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
    
    

20. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1278
      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
    
    

21. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1278
      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
    
    

22. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1278
      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
    
    

23. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    

24. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 210
      φ | √φ | φ' | φ210
    
    

25. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1278
      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 2
      
      of order 6
      with kernel of order 1278
      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
    
    

27. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1278
      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
    
    

28. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1278
      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
    
    

29. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1278
      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
    
    

30. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1278
      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
    
    

31. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 70
      φ | √φ | φ' | φ70
    
    

32. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 1278
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 210
      φ | √φ | φ' | φ210
    
    

33. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 639
      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>
    
    

34. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 70
      
      of order 71
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 70 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

36. Skew morphsim class of size 140
      
      of order 213
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 212 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

37. Skew morphsim class of size 420
      
      of order 639
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 638 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 24
      
      of order 45
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 26 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 12
      
      of order 21
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 36
      
      of order 63
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 8 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 48
      
      of order 105
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 144
      
      of order 315
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

44. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 639
      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>
    
    

45. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 17 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

46. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

47. Skew morphsim class of size 24
      
      of order 90
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

48. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 639
      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>
    
    

49. Skew morphsim class of size 36
      
      of order 126
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

50. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

51. Skew morphsim class of size 144
      
      of order 630
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 71 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

52. Skew morphsim class of size 70
      
      of order 142
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 141 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

53. Skew morphsim class of size 140
      
      of order 213
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 70 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

54. Skew morphsim class of size 140
      
      of order 426
      with kernel of order 639
      and smallest kernel generator 2
      and power function values [ 1, 283 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

55. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 426
      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
    
    

56. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 426
      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
    
    

57. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 426
      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
    
    

58. Skew morphsim class of size 16
      
      of order 30
      with kernel of order 426
      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
    
    

59. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 426
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

60. Skew morphsim class of size 24
      
      of order 42
      with kernel of order 426
      and smallest kernel generator 3
      and power function values [ 1, 15, 29 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

61. Skew morphsim class of size 96
      
      of order 210
      with kernel of order 426
      and smallest kernel generator 3
      and power function values [ 1, 71, 141 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

62. Skew morphsim class of size 96
      
      of order 210
      with kernel of order 426
      and smallest kernel generator 3
      and power function values [ 1, 71, 141 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

63. Skew morphsim class of size 280
      
      of order 426
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 141, 143, 283, 285, 425 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

64. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 2, 7, 5, 4, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

65. Skew morphsim class of size 840
      
      of order 639
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 212, 427, 425, 214, 638 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

66. Skew morphsim class of size 48
      
      of order 45
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 11, 16, 41, 31, 26 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

67. Skew morphsim class of size 72
      
      of order 63
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 29, 43, 50, 22, 8 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 288
      
      of order 315
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 176, 211, 281, 106, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

69. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 5, 13, 11, 7, 17 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

70. Skew morphsim class of size 48
      
      of order 90
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 11, 61, 41, 31, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

71. Skew morphsim class of size 72
      
      of order 126
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 29, 43, 113, 85, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

72. Skew morphsim class of size 288
      
      of order 630
      with kernel of order 213
      and smallest kernel generator 6
      and power function values [ 1, 281, 421, 491, 211, 71 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>