@EdwardPershwitz ...
In addition to what @chriscas has told you...you could also have another tab open in your browser with the "People" page of your course displaying there. The "People" page will tell you which section each of your students are in. I know it would be a bit of back and forth looking at these two screens, but it might be a semi-quick way to ensure that your students are where they need to be within the groups you are setting up.
In fact, I'm not sure what browser you are using, but on my Windows 11 laptop, my Edge browser has a Split screen option (Ctrl + Shift + 2) so that you could be looking at things in a split screen view...which might make things even easier.
Hope this helps!