Number of selected skew morphism classes of C1078 is 0
Total number of skew morphisms of C1078 is 10440
Total number of skew morphism classes of C1078 is 70
Total number of automorphisms of C1078 is 420

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1078
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1078
     φ | √φ | φ' | φ|<1078>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1078
     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 1078
     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 2
     
     of order 6
     with kernel of order 1078
     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
   
   

5. Skew morphsim class of size 6
     
     of order 7
     with kernel of order 1078
     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
   
   

6. Skew morphsim class of size 6
     
     of order 14
     with kernel of order 1078
     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
   
   

7. Skew morphsim class of size 12
     
     of order 21
     with kernel of order 1078
     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 1078
     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 4
     
     of order 5
     with kernel of order 1078
     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
   
   

10. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 1078
      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
    
    

11. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 1078
      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
    
    

12. Skew morphsim class of size 48
      
      of order 105
      with kernel of order 1078
      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
    
    

13. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1078
      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
    
    

14. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1078
      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
    
    

15. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1078
      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
    
    

16. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 1078
      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 1078
      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 1078
      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 1
      
      of order 2
      with kernel of order 1078
      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
    
    

20. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1078
      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
    
    

21. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 1078
      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
    
    

22. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1078
      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
    
    

23. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 1078
      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
    
    

24. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 1078
      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
    
    

25. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1078
      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
    
    

26. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1078
      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
    
    

27. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1078
      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 8
      
      of order 30
      with kernel of order 1078
      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
    
    

29. Skew morphsim class of size 12
      
      of order 42
      with kernel of order 1078
      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
    
    

30. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 1078
      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
    
    

31. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 1078
      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
    
    

32. Skew morphsim class of size 48
      
      of order 210
      with kernel of order 1078
      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 6
      
      of order 7
      with kernel of order 539
      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>
    
    

34. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 42
      
      of order 49
      with kernel of order 539
      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>
    
    

36. Skew morphsim class of size 60
      
      of order 77
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 76 ]
      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 539
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 538 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 24
      
      of order 35
      with kernel of order 539
      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>
    
    

39. Skew morphsim class of size 168
      
      of order 245
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 146 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 6
      
      of order 14
      with kernel of order 539
      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>
    
    

41. Skew morphsim class of size 42
      
      of order 98
      with kernel of order 539
      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>
    
    

42. Skew morphsim class of size 24
      
      of order 70
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 41 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 168
      
      of order 490
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 391 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

44. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 10 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

45. Skew morphsim class of size 60
      
      of order 77
      with kernel of order 539
      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>
    
    

46. Skew morphsim class of size 120
      
      of order 231
      with kernel of order 539
      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 10
      
      of order 22
      with kernel of order 539
      and smallest kernel generator 2
      and power function values [ 1, 21 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

48. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 539
      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>
    
    

49. Skew morphsim class of size 60
      
      of order 154
      with kernel of order 539
      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>
    
    

50. Skew morphsim class of size 120
      
      of order 462
      with kernel of order 539
      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>
    
    

51. Skew morphsim class of size 36
      
      of order 14
      with kernel of order 154
      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 154
      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 72
      
      of order 21
      with kernel of order 154
      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
    
    

54. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 154
      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
    
    

55. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 154
      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
    
    

56. Skew morphsim class of size 72
      
      of order 42
      with kernel of order 154
      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
    
    

57. Skew morphsim class of size 144
      
      of order 70
      with kernel of order 154
      and smallest kernel generator 7
      and power function values [ 1, 11, 21, 31, 41, 51, 61 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

58. Skew morphsim class of size 144
      
      of order 70
      with kernel of order 154
      and smallest kernel generator 7
      and power function values [ 1, 11, 21, 31, 41, 51, 61 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

59. Skew morphsim class of size 288
      
      of order 105
      with kernel of order 154
      and smallest kernel generator 7
      and power function values [ 1, 16, 31, 46, 61, 76, 91 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

60. Skew morphsim class of size 360
      
      of order 154
      with kernel of order 77
      and smallest kernel generator 14
      and power function values [ 1, 21, 111, 131, 67, 87, 23, 43, 133, 153, 89, 109, 45, 65 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

61. Skew morphsim class of size 288
      
      of order 210
      with kernel of order 154
      and smallest kernel generator 7
      and power function values [ 1, 31, 61, 91, 121, 151, 181 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

62. Skew morphsim class of size 288
      
      of order 210
      with kernel of order 154
      and smallest kernel generator 7
      and power function values [ 1, 31, 61, 91, 121, 151, 181 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

63. Skew morphsim class of size 288
      
      of order 210
      with kernel of order 154
      and smallest kernel generator 7
      and power function values [ 1, 31, 61, 91, 121, 151, 181 ]
      and with periodicity 6
      and with complexity 3
      and with auto-order 6
      φ | √φ | φ' | φ6
    
    

64. Skew morphsim class of size 720
      
      of order 231
      with kernel of order 77
      and smallest kernel generator 14
      and power function values [ 1, 10, 166, 175, 100, 109, 34, 43, 199, 208, 133, 142, 67, 76 ]
      and with periodicity 3
      and with complexity 3
      and with auto-order 3
      φ | √φ | φ' | φ3
    
    

65. Skew morphsim class of size 720
      
      of order 462
      with kernel of order 77
      and smallest kernel generator 14
      and power function values [ 1, 109, 133, 241, 265, 373, 397, 43, 67, 175, 199, 307, 331, 439 ]
      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 77
      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 2520
      
      of order 539
      with kernel of order 77
      and smallest kernel generator 14
      and power function values [ 1, 76, 463, 153, 386, 230, 309, 307, 232, 384, 155, 461, 78, 538 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 1008
      
      of order 245
      with kernel of order 77
      and smallest kernel generator 14
      and power function values [ 1, 6, 141, 111, 36, 216, 176, 76, 71, 181, 211, 41, 106, 146 ]
      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 77
      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 1008
      
      of order 490
      with kernel of order 77
      and smallest kernel generator 14
      and power function values [ 1, 41, 351, 181, 211, 321, 71, 461, 421, 111, 281, 251, 141, 391 ]
      and with periodicity 7
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>