claim: Commodore is ranked above a navy captain and a rear admiral.
evidence: Commodore is a naval rank used in many navies that is superior to a navy captain , but below a rear admiral .. naval rank. military rank. navies. navy. captain. Captain ( Navy ). rear admiral. rear admiral. admiral. admiral. Non-English-speaking nations often use the rank of flotilla admiral or counter admiral or senior captain as an equivalent , although counter admiral may also correspond to rear admiral .. captain. Captain ( Navy ). rear admiral. rear admiral. flotilla admiral. flotilla admiral. counter admiral. counter admiral. senior captain. senior captain. flotilla. flotilla. admiral. admiral. Traditionally , `` commodore '' is the title for any officer assigned to command more than one ship at a time , even temporarily , much as `` captain '' is the traditional title for the commanding officer of a single ship even if the officer 's official title in the service is a lower rank .. captain. Captain ( Navy ). As an official rank , a commodore typically commands a flotilla or squadron of ships as part of a larger task force or naval fleet commanded by an admiral .. flotilla. flotilla. squadron. squadron ( naval ). task force. task force. naval fleet. naval fleet. admiral. admiral. A commodore 's ship is typically designated by the flying of a Broad pennant , as opposed to an admiral 's flag .. admiral. admiral. Broad pennant. Broad pennant. It is often regarded as a one-star rank with a NATO code of OF-6 -LRB- which is known in the U.S. as `` rear admiral -LRB- lower half -RRB- '' -RRB- , but whether it is regarded as a flag rank varies between countries .. rear admiral. rear admiral. admiral. admiral. one-star rank. one-star rank. NATO. NATO. OF-6. OF-6. flag rank. flag rank. It is sometimes abbreviated  : as `` Cdre '' in British Royal Navy , `` CDRE '' in the US Navy , `` Cmdre '' in the Royal Canadian Navy , `` COMO '' in the Spanish Navy and in some navies speaking the Spanish language , or `` CMDE '' as used in the Indian Navy or in some other Navies .. navies. navy