Following are examples of fictional military units that I have to get back to. These are wookiepedia articles.

Death Squadron and the 501st Legion are commanded by Darth Vader. the 7th Sky Corps, Third Systems Army, 212th Attack Battalion and 2nd Airborne Company are each and all commanded by General Obi-Wan Kenobi during the Clone Wars.

There’s also the Journal of the 501st. Some call the 501st “Vader’s Fist” but I never heard the term.