is a major general higher than a general
Major general (United States) In the United States Army, United States Marine Corps, and United States Air Force, major general is a two-star general-officer rank, with the pay grade of O-8. Major general ranks above brigadier general and below lieutenant general.[Note 1] A major general typically commands division-sized units of 10,000 to 15,000 soldiers. Major general is equivalent to the two-star rank of rear admiral in the United States Navy and United States Coast Guard and is the highest permanent rank during peacetime in the uniformed services. Higher ranks are technically temporary ranks linked to specific positions, although virtually all officers who have been promoted to those ranks are approved to retire at their highest earned rank.
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General of the Army (United States) General of the Army (abbreviated as GA)[1] is a five-star general officer and the second highest possible rank in the United States Army. A General of the Army ranks immediately above a general and is equivalent to a Fleet Admiral and a General of the Air Force.[2] There is no established equivalent five-star rank in the other federal uniformed services (Marine Corps, Coast Guard, United States Public Health Service Commissioned Corps, and National Oceanic and Atmospheric Administration Commissioned Corps). Often called a "five-star general", the rank of General of the Army has historically been reserved for wartime use and is not currently active in the U.S. military. The General of the Army insignia consisted of five 3/8th inch stars in a pentagonal pattern, with points touching. The insignia is paired with the gold and enameled United States Coat of Arms on service coat shoulder loops. The silver colored five-star metal insignia alone would be worn for use as a collar insignia of grade and on the garrison cap. Soft shoulder epaulettes with five 7/16th inch stars in silver thread and gold-threaded United States Coat of Arms on green cloth were worn with shirts and sweaters.
Military rank "The [U.S.] commissioned officer corps is divided into 10 pay grades (O-1 through O-10). Officers in pay grades O-1 through O-3 are considered company grade officers. In the Army, Marine Corps, and Air Force, these pay grades correspond to the ranks of second lieutenant (O-1), first lieutenant (O-2), and captain (O-3), and in the Navy, ensign, lieutenant junior grade, and lieutenant. Officers in the next three pay grades (O-4 through O-6) are considered field grade officers. In the Army, Marine Corps, and Air Force, these pay grades correspond to the ranks of major (O-4), lieutenant colonel (O-5), and colonel (O-6), and in the Navy, lieutenant commander, commander, and captain. The highest four pay grades are reserved for general officers in the Army, Marine Corps, and Air Force, and flag officers in the Navy. The ranks associated with each pay grade are as follows: in the Army, Marine Corps, and Air Force, brigadier general (O-7), major general (O-8), lieutenant general (O-9), and general (O-10); in the Navy, rear admiral-lower half, rear admiral-upper half, vice admiral, and admiral."[10][11]