The former lieutenant, Paul Dean, said the men received permits to carry guns in New York City without the proper paperwork after donating to two charities with close ties to the department. They were among a list of other well-connected people who Dean said benefited from a “systematic culture of corruption” that stretched from the department’s gun licensing division to the upper echelons of the department.

The police commissioner, James P. O’Neill, said the allegations by Dean, who has pleaded guilty to approving gun licenses in exchange for bribes while he was second-in-command of the department’s licensing division, are “highly suspect.”

“These claims were investigated thoroughly by our IAB — internal affairs — the FBI’s public corruption unit and overseen by federal prosecutors,” O’Neill said Thursday, a day after Dean made the allegations. “These investigations found no credible basis to charge any other individuals.”

Trump told The Washington Times in 2012 that he had a concealed-carry permit and two semi-automatic pistols. Four years later, he told a French magazine that he “always” carries a firearm.

The Police Department does not disclose the names of gun license holders and would not confirm whether the president, his son and former lawyer still have valid licenses to carry firearms. The White House referred questions to Trump’s outside counsel, and the Trump Organization declined to comment.

Cohen, who pleaded guilty to federal charges that he lied to Congress about negotiations to build a Trump tower in Russia, now has a felony conviction and would be prohibited by state and federal law from having a gun. Lanny J. Davis, Cohen’s lawyer, said he could not comment because he had no knowledge of Dean’s claims.

Dean was arrested in 2017 on charges he accepted gifts and favors from middlemen in exchange for gun permits that are difficult to obtain; he ultimately pleaded guilty to bribery. The others arrested included Robert Espinel, David Villanueva and Richard Ochetal.

The list of names was included among court papers that Dean filed before his sentencing later this month. He said he had hoped his cooperation would lead prosecutors to recommend a lighter sentence. But he faces up to five years in prison after prosecutors deemed the information “insubstantial.”

The list also includes John Catsimatidis, a billionaire businessman and radio host; Thomas Mottola, former chief executive of Sony; and actor Tracy Morgan.

Dean, 46, said that the quid-pro-quo culture extended to former Police Commissioner Raymond W. Kelly, who directed him to issue a gun license to the crown prince of Jordan so that a city police detective stationed in the Middle Eastern country could carry a firearm there. Kelly could not be reached for comment.

Dean said most of the suspect gun licenses were ordered by his boss, Deputy Inspector Michael Endall, who was transferred to the division in 2008 to be “a point of contact for anyone needing help to get gun licenses, particularly those people connected with the police unions, the Police Athletic League or the NYC Police Foundation,” Dean said. Reached by telephone, Endall declined to comment.

Frederick J. Watts, executive director of the Police Athletic League, said the nonprofit operates independently of the Police Department. “We have no role in who gets gun licenses; that is all up to the NYPD,” he said.

A spokesman for the New York City Police Foundation said Dean’s allegation “has nothing to do with our work.”

Endall took over as the gun licensing division’s commanding officer in August 2014. Dean said the current deputy commissioner for counterterrorism, John J. Miller, later attended a meeting during which William J. Bratton, then the newly appointed commissioner, asked Endall to stay on with the new administration to continue the “current ‘favor’ system for retirees and donors.”

Bratton did not respond to a request for comment Thursday. Miller said the meeting never happened.

“Everyone he’s referred to there has had their pistol licenses for between 10, 25 and 40 years,” Miller said. “So I think there’s a lot more fluff in that document than there is facts.”

A woman who frequented Police Headquarters with Orthodox Jewish clients had ties to the mayor, Dean said Endall told him. “This person takes care of Mayor De Blasio, and in return we are supposed to take care of this person,” Dean recalled his supervisor saying.

At least once, a tainted license had fatal consequences, Dean said. Endall, he said, ordered him to return a gun license to a businessman known as the “Cherry King,” who later fatally shot himself in the head during a raid on his plant.

O’Neill said Endall was disciplined before he retired in 2017. He did not say what the punishment was, although Endall was allowed to keep a lucrative pension.

Officials could not say whether the licenses of any people named by Dean had been revoked.

The 2017 arrests prompted an overhaul of the gun licensing division, including the replacement of top commanders and a reorganization that added oversight. Applications are now required to be submitted online, and each step of the licensing process is handled by different people — and recorded in an electronic database, officials said.

“I have complete confidence in the leadership down at the gun licensing division,” O’Neill said.

This article originally appeared in The New York Times.