Number of selected skew morphism classes of C1251 is 0
Total number of skew morphisms of C1251 is 1840
Total number of skew morphism classes of C1251 is 46
Total number of automorphisms of C1251 is 828

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 1251
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 1251
     φ | √φ | φ' | φ|<1251>
   
   

2. Skew morphsim class of size 2
     
     of order 3
     with kernel of order 1251
     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
   
   

3. Skew morphsim class of size 22
     
     of order 23
     with kernel of order 1251
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 23
     φ | √φ | φ' | φ23
   
   

4. Skew morphsim class of size 44
     
     of order 69
     with kernel of order 1251
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 69
     φ | √φ | φ' | φ69
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1251
     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 1251
     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 22
     
     of order 46
     with kernel of order 1251
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 46
     φ | √φ | φ' | φ46
   
   

8. Skew morphsim class of size 44
     
     of order 138
     with kernel of order 1251
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 138
     φ | √φ | φ' | φ138
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 1251
     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 2
      
      of order 3
      with kernel of order 1251
      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
    
    

11. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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 22
      
      of order 46
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 46
      φ | √φ | φ' | φ46
    
    

13. Skew morphsim class of size 44
      
      of order 69
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 69
      φ | √φ | φ' | φ69
    
    

14. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

15. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 1251
      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
    
    

16. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1251
      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
    
    

17. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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
    
    

18. Skew morphsim class of size 22
      
      of order 46
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 46
      φ | √φ | φ' | φ46
    
    

19. Skew morphsim class of size 44
      
      of order 69
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 69
      φ | √φ | φ' | φ69
    
    

20. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

21. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 1251
      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
    
    

22. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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 44
      
      of order 69
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 69
      φ | √φ | φ' | φ69
    
    

24. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

25. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

27. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

29. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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
    
    

30. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

31. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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
    
    

32. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

33. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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
    
    

34. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

35. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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
    
    

36. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

37. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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
    
    

38. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

39. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 1251
      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
    
    

40. Skew morphsim class of size 44
      
      of order 138
      with kernel of order 1251
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 138
      φ | √φ | φ' | φ138
    
    

41. Skew morphsim class of size 276
      
      of order 139
      with kernel of order 417
      and smallest kernel generator 3
      and power function values [ 1, 42, 96 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

42. Skew morphsim class of size 552
      
      of order 417
      with kernel of order 417
      and smallest kernel generator 3
      and power function values [ 1, 181, 235 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 3
      φ | √φ | φ' | φ|<3>
    
    

43. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 417
      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
    
    

44. Skew morphsim class of size 4
      
      of order 6
      with kernel of order 417
      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
    
    

45. Skew morphsim class of size 88
      
      of order 138
      with kernel of order 417
      and smallest kernel generator 3
      and power function values [ 1, 47, 93 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

46. Skew morphsim class of size 88
      
      of order 138
      with kernel of order 417
      and smallest kernel generator 3
      and power function values [ 1, 47, 93 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2