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Mr. Wolf was unavailable for comment Monday, his office said.

Mr. Boehner’s spokesman, Michael Steel, told The Times that “the speaker has confidence in the committees of jurisdiction” and their existing efforts to get to the bottom of the issue.

Mr. Taylor, who lost a Republican primary in Virginia in 2010, said he does “understand the politics of it,” but that Monday’s letter is “just the first step in a concerted effort to really push for this special investigation.”

The calls Monday likely will refocus attention on questions that critics say remain about whether U.S. forces could have done more to rescue survivors, and whether President Obama and his senior security staff were sufficiently engaged with events in Benghazi.

OpSec is a nonpartisan nonprofit made up of former U.S. intelligence and national security personnel, and can advocate on public policy issues but not for or against any particular candidate in elections. Last year, it raised more than $1 million, which it spent to produce TV and Web advertisements and a short feature film all criticizing leaks from inside the Obama administration about its national security successes.

“We are the voice of those who can’t speak,” said Mr. Taylor, referring to active-duty military and intelligence personnel who were angered by the administration’s response to the Benghazi attack.

Special Operations Speaks is a political action committee that spent more than $1 million during last year’s general election campaign to urge the defeat of Mr. Obama.

The letter is signed, the group says, by more than 700 former military or intelligence personnel, including more than 20 general officers.

They include retired Army Lt. Gen. Dell L. Dailey, a former State Department counterterrorism coordinator; retired Army Lt. Gen. William G. “Jerry” Boykin, a Ranger and controversial former military intelligence chief; and retired Army Maj. Gen. John K. “Jack” Singlaub, who was a founding member of the OSS, the forerunner of the CIA during World War II.