Military formation (ground)
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A formation in military terms is a grouping of units.
Brigade
A brigade is the smallest type of formation, and generally consistes of two or more battalions or regiments.
Division
Military divisions date back to the Napoleonic era. By the time of World War I, a division generally consisted of two or more regiments/brigades and numbered between 10 and 20,000 soldiers.
Corps
A corps is a grouping of divisions; usage of this term dates back to before the American Civil War.