Number of selected skew morphism classes of C726 is 0
Total number of skew morphisms of C726 is 8920
Total number of skew morphism classes of C726 is 42
Total number of automorphisms of C726 is 220

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 726
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 726
     φ | √φ | φ' | φ|<726>
   
   

2. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 726
     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 4
     
     of order 5
     with kernel of order 726
     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
   
   

4. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 726
     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
   
   

5. Skew morphsim class of size 10
     
     of order 11
     with kernel of order 726
     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
   
   

6. Skew morphsim class of size 10
     
     of order 22
     with kernel of order 726
     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
   
   

7. Skew morphsim class of size 40
     
     of order 55
     with kernel of order 726
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 55
     φ | √φ | φ' | φ55
   
   

8. Skew morphsim class of size 40
     
     of order 110
     with kernel of order 726
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 110
     φ | √φ | φ' | φ110
   
   

9. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 726
     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 10
      
      of order 22
      with kernel of order 726
      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
    
    

11. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 726
      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
    
    

12. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 726
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 110
      φ | √φ | φ' | φ110
    
    

13. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 726
      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 4
      
      of order 10
      with kernel of order 726
      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
    
    

15. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 726
      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
    
    

16. Skew morphsim class of size 40
      
      of order 110
      with kernel of order 726
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 110
      φ | √φ | φ' | φ110
    
    

17. Skew morphsim class of size 2
      
      of order 3
      with kernel of order 363
      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>
    
    

18. Skew morphsim class of size 10
      
      of order 11
      with kernel of order 363
      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>
    
    

19. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 363
      and smallest kernel generator 2
      and power function values [ 1, 32 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

20. Skew morphsim class of size 110
      
      of order 121
      with kernel of order 363
      and smallest kernel generator 2
      and power function values [ 1, 120 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

21. Skew morphsim class of size 220
      
      of order 363
      with kernel of order 363
      and smallest kernel generator 2
      and power function values [ 1, 362 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

22. Skew morphsim class of size 8
      
      of order 15
      with kernel of order 363
      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>
    
    

23. Skew morphsim class of size 2
      
      of order 6
      with kernel of order 363
      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>
    
    

24. Skew morphsim class of size 8
      
      of order 30
      with kernel of order 363
      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>
    
    

25. Skew morphsim class of size 20
      
      of order 33
      with kernel of order 363
      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>
    
    

26. Skew morphsim class of size 20
      
      of order 66
      with kernel of order 363
      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>
    
    

27. Skew morphsim class of size 80
      
      of order 165
      with kernel of order 363
      and smallest kernel generator 2
      and power function values [ 1, 56 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

28. Skew morphsim class of size 80
      
      of order 330
      with kernel of order 363
      and smallest kernel generator 2
      and power function values [ 1, 221 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

29. Skew morphsim class of size 10
      
      of order 22
      with kernel of order 363
      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>
    
    

30. Skew morphsim class of size 110
      
      of order 242
      with kernel of order 363
      and smallest kernel generator 2
      and power function values [ 1, 241 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

31. Skew morphsim class of size 100
      
      of order 22
      with kernel of order 66
      and smallest kernel generator 11
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

32. Skew morphsim class of size 100
      
      of order 22
      with kernel of order 66
      and smallest kernel generator 11
      and power function values [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

33. Skew morphsim class of size 400
      
      of order 55
      with kernel of order 66
      and smallest kernel generator 11
      and power function values [ 1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51 ]
      and with periodicity 5
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

34. Skew morphsim class of size 200
      
      of order 66
      with kernel of order 33
      and smallest kernel generator 22
      and power function values [ 1, 5, 31, 35, 61, 65, 25, 29, 55, 59, 19, 23, 49, 53, 13, 17, 43, 47, 7, 11, 37, 41 ]
      and with periodicity 2
      and with complexity 3
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

35. Skew morphsim class of size 400
      
      of order 110
      with kernel of order 66
      and smallest kernel generator 11
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101 ]
      and with periodicity 5
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

36. Skew morphsim class of size 400
      
      of order 110
      with kernel of order 66
      and smallest kernel generator 11
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

37. Skew morphsim class of size 400
      
      of order 110
      with kernel of order 66
      and smallest kernel generator 11
      and power function values [ 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 101 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

38. Skew morphsim class of size 800
      
      of order 165
      with kernel of order 33
      and smallest kernel generator 22
      and power function values [ 1, 11, 76, 86, 151, 161, 61, 71, 136, 146, 46, 56, 121, 131, 31, 41, 106, 116, 16, 26, 91, 101 ]
      and with periodicity 5
      and with complexity 3
      and with auto-order 5
      φ | √φ | φ' | φ5
    
    

39. Skew morphsim class of size 800
      
      of order 330
      with kernel of order 33
      and smallest kernel generator 22
      and power function values [ 1, 11, 241, 251, 151, 161, 61, 71, 301, 311, 211, 221, 121, 131, 31, 41, 271, 281, 181, 191, 91, 101 ]
      and with periodicity 10
      and with complexity 3
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

40. Skew morphsim class of size 1100
      
      of order 121
      with kernel of order 33
      and smallest kernel generator 22
      and power function values [ 1, 10, 111, 21, 100, 32, 89, 43, 78, 54, 67, 65, 56, 76, 45, 87, 34, 98, 23, 109, 12, 120 ]
      and with periodicity 11
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

41. Skew morphsim class of size 2200
      
      of order 363
      with kernel of order 33
      and smallest kernel generator 22
      and power function values [ 1, 32, 331, 65, 298, 98, 265, 131, 232, 164, 199, 197, 166, 230, 133, 263, 100, 296, 67, 329, 34, 362 ]
      and with periodicity 11
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>
    
    

42. Skew morphsim class of size 1100
      
      of order 242
      with kernel of order 33
      and smallest kernel generator 22
      and power function values [ 1, 21, 221, 43, 199, 65, 177, 87, 155, 109, 133, 131, 111, 153, 89, 175, 67, 197, 45, 219, 23, 241 ]
      and with periodicity 11
      and with complexity 4
      and with auto-order 2
      φ | √φ | φ' | φ|<2>