A "battalion" usually consists of around 300-1200 soldiers, consisting of between 2 and 7 companies, and is usually lead by a Colonel or Lieutenant Colonel.
A "regiment" traditonally consists of around 1000 men.
A "platoon" usually has 2-4 squads, each with 25-50 soldiers.
Based on this, may I suggest changing from Battalions to "clubhouse", "team", "group", "a tandem" or we could go straight to the crows with a "Murder" and have a Blackwing-themed academy instead.
And hey, guess what!
http://i1.kym-cdn.com/entries/icons/original/000/000/091/Problem.jpg