Final answer:
The branch of military that has primary responsibility for operations and administration during military government is the Army.
Step-by-step explanation:
The branch of military that has primary responsibility for operations and administration during military government is the Army. The President, as the Commander in Chief of the armed forces, has the authority to oversee the military branches, including the Army, Navy, Marine Corps, and Air Force. However, in a military government, it is typically the Army that takes on the primary role in carrying out operations and administration tasks.