Number of selected skew morphism classes of C1242 is 0
Total number of skew morphisms of C1242 is 11616
Total number of skew morphism classes of C1242 is 80
Total number of automorphisms of C1242 is 396

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1242
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1242
     φ | √φ | φ' | φ|<1242>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1242
     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 1242
     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 1242
     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 9
     with kernel of order 1242
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 9
     φ | √φ | φ' | φ9
   
   

6. Skew morphsim class of size 10
     
     of order 11
     with kernel of order 1242
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 11
     φ | √φ | φ' | φ11
   
   

7. Skew morphsim class of size 6
     
     of order 18
     with kernel of order 1242
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 18
     φ | √φ | φ' | φ18
   
   

8. Skew morphsim class of size 10
     
     of order 22
     with kernel of order 1242
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 22
     φ | √φ | φ' | φ22
   
   

9. Skew morphsim class of size 20
     
     of order 33
     with kernel of order 1242
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 33
     φ | √φ | φ' | φ33
   
   

10. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    

11. Skew morphsim class of size 60
      
      of order 99
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 99
      φ | √φ | φ' | φ99
    
    

12. Skew morphsim class of size 60
      
      of order 198
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 198
      φ | √φ | φ' | φ198
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1242
      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 1242
      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 18
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

16. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    

17. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    

18. Skew morphsim class of size 60
      
      of order 198
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 198
      φ | √φ | φ' | φ198
    
    

19. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1242
      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 2
      
      of order 6
      with kernel of order 1242
      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
    
    

21. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 18
      φ | √φ | φ' | φ18
    
    

22. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 22
      φ | √φ | φ' | φ22
    
    

23. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 66
      φ | √φ | φ' | φ66
    
    

24. Skew morphsim class of size 60
      
      of order 198
      with kernel of order 1242
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 198
      φ | √φ | φ' | φ198
    
    

25. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 621
      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>
    
    

26. Skew morphsim class of size 6
      
      of order 9
      with kernel of order 621
      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>
    
    

27. Skew morphsim class of size 22
      
      of order 23
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 22 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

28. Skew morphsim class of size 18
      
      of order 27
      with kernel of order 621
      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>
    
    

29. Skew morphsim class of size 44
      
      of order 69
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 68 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

30. Skew morphsim class of size 132
      
      of order 207
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 206 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 396
      
      of order 621
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 620 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

32. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

33. Skew morphsim class of size 60
      
      of order 99
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

34. Skew morphsim class of size 180
      
      of order 297
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 188 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

35. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 621
      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>
    
    

36. Skew morphsim class of size 6
      
      of order 18
      with kernel of order 621
      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>
    
    

37. Skew morphsim class of size 18
      
      of order 54
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 53 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

38. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 23 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

39. Skew morphsim class of size 60
      
      of order 198
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 89 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

40. Skew morphsim class of size 180
      
      of order 594
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 485 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 22
      
      of order 46
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 45 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 44
      
      of order 69
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 22 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

43. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 91 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

44. Skew morphsim class of size 132
      
      of order 207
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 91 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

45. Skew morphsim class of size 132
      
      of order 414
      with kernel of order 621
      and smallest kernel generator 2
      and power function values [ 1, 91 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

46. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 4, 7 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

47. Skew morphsim class of size 120
      
      of order 99
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 34, 67 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

48. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

49. Skew morphsim class of size 120
      
      of order 198
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 67, 133 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

50. Skew morphsim class of size 12
      
      of order 9
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 2, 4, 8, 7, 5 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

51. Skew morphsim class of size 264
      
      of order 207
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 68, 70, 206, 139, 137 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

52. Skew morphsim class of size 120
      
      of order 99
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 23, 34, 89, 67, 56 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

53. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 5, 7, 17, 13, 11 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

54. Skew morphsim class of size 120
      
      of order 198
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 23, 133, 89, 67, 155 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

55. Skew morphsim class of size 264
      
      of order 207
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 22, 70, 91, 139, 160 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 6
      φ | √φ | φ' | φ|<6>
    
    

56. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 414
      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 4
      
      of order 6
      with kernel of order 414
      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
    
    

58. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

59. Skew morphsim class of size 12
      
      of order 18
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 7, 13 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

60. Skew morphsim class of size 40
      
      of order 66
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 23, 45 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

61. Skew morphsim class of size 40
      
      of order 66
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 23, 45 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

62. Skew morphsim class of size 88
      
      of order 138
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 45, 47, 91, 93, 137 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

63. Skew morphsim class of size 120
      
      of order 198
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 67, 133 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

64. Skew morphsim class of size 120
      
      of order 198
      with kernel of order 414
      and smallest kernel generator 3
      and power function values [ 1, 67, 133 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

65. Skew morphsim class of size 264
      
      of order 414
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 229, 277, 91, 139, 367 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

66. Skew morphsim class of size 36
      
      of order 27
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 8, 19, 17, 10, 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 792
      
      of order 621
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 206, 415, 413, 208, 620 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

68. Skew morphsim class of size 360
      
      of order 297
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 89, 100, 287, 199, 188 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

69. Skew morphsim class of size 36
      
      of order 54
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 17, 37, 35, 19, 53 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

70. Skew morphsim class of size 360
      
      of order 594
      with kernel of order 207
      and smallest kernel generator 6
      and power function values [ 1, 89, 397, 287, 199, 485 ]
      and with periodicity 3
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

71. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 138
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

72. Skew morphsim class of size 36
      
      of order 18
      with kernel of order 138
      and smallest kernel generator 9
      and power function values [ 1, 3, 11, 7, 9, 17, 13, 15, 5 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

73. Skew morphsim class of size 360
      
      of order 198
      with kernel of order 138
      and smallest kernel generator 9
      and power function values [ 1, 45, 23, 133, 177, 155, 67, 111, 89 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

74. Skew morphsim class of size 360
      
      of order 198
      with kernel of order 138
      and smallest kernel generator 9
      and power function values [ 1, 45, 23, 133, 177, 155, 67, 111, 89 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

75. Skew morphsim class of size 792
      
      of order 414
      with kernel of order 69
      and smallest kernel generator 18
      and power function values [ 1, 45, 47, 367, 231, 413, 139, 183, 185, 91, 369, 137, 277, 321, 323, 229, 93, 275 ]
      and with periodicity 6
      and with complexity 5
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

76. Skew morphsim class of size 108
      
      of order 27
      with kernel of order 69
      and smallest kernel generator 18
      and power function values [ 1, 2, 16, 14, 13, 17, 19, 11, 7, 23, 4, 26, 10, 20, 25, 5, 22, 8 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

77. Skew morphsim class of size 2376
      
      of order 621
      with kernel of order 69
      and smallest kernel generator 18
      and power function values [ 1, 137, 70, 68, 553, 206, 208, 551, 277, 482, 139, 620, 415, 344, 484, 275, 346, 413 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

78. Skew morphsim class of size 1080
      
      of order 297
      with kernel of order 69
      and smallest kernel generator 18
      and power function values [ 1, 56, 232, 122, 67, 287, 100, 254, 34, 23, 166, 188, 199, 155, 133, 221, 265, 89 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

79. Skew morphsim class of size 108
      
      of order 54
      with kernel of order 69
      and smallest kernel generator 18
      and power function values [ 1, 11, 7, 5, 49, 17, 19, 47, 25, 41, 13, 53, 37, 29, 43, 23, 31, 35 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

80. Skew morphsim class of size 1080
      
      of order 594
      with kernel of order 69
      and smallest kernel generator 18
      and power function values [ 1, 155, 133, 23, 463, 287, 397, 353, 529, 221, 265, 485, 199, 551, 331, 419, 67, 89 ]
      and with periodicity 9
      and with complexity 6
      and with auto-order 2
      φ | √φ | φ' | φ|<2>