Company

[NewHope]

Context:
Prison Scandal MPs Return
Maryland Reserve company ends tour of duty, but 5 remain in Iraq.
...
A soldier from the 372nd Military Police Company, based in Cresaptown, Md., receives an emotional greeting at Fort Lee, Va. The reservists' overseas tour of duty was extended twice. (Marvin Joseph -- The Washington Post)
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I think the definition of the word "company" here is:
A subdivision of a military regiment or battalion that constitutes the lowest administrative unit. It is usually under the command of a captain and is made up of at least two platoons.

Am I on the right track?

[Red5]

I think you are correct.

[NewHope]

:D