Number of selected skew morphism classes of C_444 is 0
Total number of skew morphisms of C_444 is 1168
Total number of skew morphism classes of C_444 is 56
Total number of automorphisms of C_444 is 144

1. Skew morphsim class of size 1 #
     
     of order 1 √
     with kernel of order 444
     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 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

3. Skew morphsim class of size 12 #
     
     of order 36 √
     with kernel of order 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

4. Skew morphsim class of size 1 #
     
     of order 2 √
     with kernel of order 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

5. Skew morphsim class of size 2 #
     
     of order 6 √
     with kernel of order 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

6. Skew morphsim class of size 4 #
     
     of order 12 √
     with kernel of order 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

7. Skew morphsim class of size 2 #
     
     of order 3 √
     with kernel of order 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

8. Skew morphsim class of size 6 #
     
     of order 18 √
     with kernel of order 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

9. Skew morphsim class of size 2 #
     
     of order 4 √
     with kernel of order 444
     and smallest kernel generator 1
     and power function values [ 1 ] #
     and with periodicity 1
   
   

10. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

11. Skew morphsim class of size 12 #
      
      of order 36 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

12. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

13. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

14. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

15. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

16. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

17. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

18. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 444
      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 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

20. Skew morphsim class of size 12 #
      
      of order 36 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

21. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 444
      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 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

23. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 444
      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 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

25. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

26. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

27. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

28. Skew morphsim class of size 6 #
      
      of order 18 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

29. Skew morphsim class of size 12 #
      
      of order 36 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

30. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

31. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

32. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

33. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 444
      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 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

35. Skew morphsim class of size 2 #
      
      of order 4 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

36. Skew morphsim class of size 1 #
      
      of order 2 √
      with kernel of order 444
      and smallest kernel generator 1
      and power function values [ 1 ] #
      and with periodicity 1
    
    

37. Skew morphsim class of size 2 #
      
      of order 3 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 2 ] #
      and with periodicity 1
    
    

38. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

39. Skew morphsim class of size 36 #
      
      of order 37 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 36 ] #
      and with periodicity 1
    
    

40. Skew morphsim class of size 36 #
      
      of order 74 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 73 ] #
      and with periodicity 1
    
    

41. Skew morphsim class of size 72 #
      
      of order 111 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 110 ] #
      and with periodicity 1
    
    

42. Skew morphsim class of size 72 #
      
      of order 222 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 221 ] #
      and with periodicity 1
    
    

43. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

44. Skew morphsim class of size 4 #
      
      of order 12 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

45. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

46. Skew morphsim class of size 2 #
      
      of order 6 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 5 ] #
      and with periodicity 1
    
    

47. Skew morphsim class of size 36 #
      
      of order 74 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 73 ] #
      and with periodicity 1
    
    

48. Skew morphsim class of size 36 #
      
      of order 74 √
      with kernel of order 222
      and smallest kernel generator 2
      and power function values [ 1, 73 ] #
      and with periodicity 1
    
    

49. Skew morphsim class of size 72 #
      
      of order 37 √
      with kernel of order 148
      and smallest kernel generator 3
      and power function values [ 1, 26, 10 ] #
      and with periodicity 1
    
    

50. Skew morphsim class of size 72 #
      
      of order 74 √
      with kernel of order 148
      and smallest kernel generator 3
      and power function values [ 1, 63, 47 ] #
      and with periodicity 1
    
    

51. Skew morphsim class of size 72 #
      
      of order 37 √
      with kernel of order 111
      and smallest kernel generator 4
      and power function values [ 1, 31, 36, 6 ] #
      and with periodicity 1
    
    

52. Skew morphsim class of size 144 #
      
      of order 111 √
      with kernel of order 111
      and smallest kernel generator 4
      and power function values [ 1, 68, 73, 80 ] #
      and with periodicity 1
    
    

53. Skew morphsim class of size 72 #
      
      of order 74 √
      with kernel of order 111
      and smallest kernel generator 4
      and power function values [ 1, 43, 73, 31 ] #
      and with periodicity 1
    
    

54. Skew morphsim class of size 72 #
      
      of order 37 √
      with kernel of order 74
      and smallest kernel generator 6
      and power function values [ 1, 11, 10, 36, 26, 27 ] #
      and with periodicity 1
    
    

55. Skew morphsim class of size 72 #
      
      of order 74 √
      with kernel of order 74
      and smallest kernel generator 6
      and power function values [ 1, 11, 47, 73, 63, 27 ] #
      and with periodicity 1
    
    

56. Skew morphsim class of size 144 #
      
      of order 37 √
      with kernel of order 37
      and smallest kernel generator 12
      and power function values [ 1, 8, 27, 31, 26, 23, 36, 29, 10, 6, 11, 14 ] #
      and with periodicity 1