No. General is a higher rank.
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The ranks are exactly the same as the rest of the army: Private>Lance Corporal>Corporal>Sergeant>Staff Sergeant>Warrant Officer Class 2> WO Class 1 2nd Lieutenant>Lieutenant>Captain>Major>Lt. Colonel>Colonel>Brigadier>Major General>Lt. General>General>Field Marshall.
See link for history of Army ranks. Private Private First Class Corporal Sargent Staff Sargent Technical Sargent Master Sargent 1st Sargent (One per company) Warrant Officer Junior Grade Chief Warrant Officer 2nd Lieutenant 1st Lieutenant Captain Major Lieutenant Colonel Colonel Brigadier General Major General Lieutenant General General General of the Army (Wartime only, 5 only at a time)
It depends on how long you serve. A colonel of only a few years wont make as much as a colonel of 40 years, even though they are technically the same rank.
Colonel since Brigadier is a 1 star general (US)
He scolded the men