The search and recovery operations for Flight 325 involved several organizations. According to The Guardian, the Irish Coast Guard was involved in the recovery operation. Other organizations that typically provide operational resources in such situations include the U.S. Coast Guard, Department of Defense components, the Civil Air Patrol, the Coast Guard Auxiliary, and local law enforcement at the state, county, and local levels as mentioned on the FAA website. The 563rd Rescue Group, a United States Air Force unit stationed at Davis-Monthan Air Force Base, is also an organization that could potentially be involved in such operations, given their role in providing rescue support. However, the specific organizations involved in the search and recovery for Flight 325 were not exhaustively listed in the search results. For a comprehensive list, one might need to refer to official reports or statements from the authorities that managed the operation.