The committee late last month subpoenaed four members of former President Donald Trump's administration. Trump's former chief of staff Mark Meadows, former White House adviser Steve Bannon, former White House Deputy Chief of Staff Dan Scavino, and former Defense Department official Kash Patel.
The committee has already threatened criminal contempt charges against Bannon for refusing to cooperate with the inquiry into the attack, in which a mob of Trump's supporters stormed the seat of the U.S. government.
Those subpoenaed will have the opportunity to cooperate, but if they do not, the committee will enforce its subpoenas, Cheney, a Republican, told reporters at the U.S. Capitol. She leads the committee along with its chairman, Democratic Representative Bennie Thompson.
District Judge Royce Lamberth said the violation came when Washington's Department of Corrections Director Quincy Booth and Warden Wanda Patten declined to provide medical papers for Christopher Worrell, an accused Jan. 6 rioter. Worrell broke his hand in May, and a surgeon recommended that he get surgery, medical treatment that he reportedly still has not received in June.
"It is more than just inept and bureaucratic shuffling of papers," Lamberth said, according to multiple outlets. "I find that the civil rights of the defendant have been abridged. I don't know if it's because he is a Jan. 6 defendant or not, but I find that this matter should be referred to the attorney general of the United States ... for a civil rights investigation."
Lamberth had previously threatened to condemn the officials after they did not give the paperwork to the U.S. Marshals.
Booth and Patent filed a claim against the contempt on Wednesday, asserting that they followed Friday's order to include the surgeon's notes into the medical file and sent it to the U.S. Marshals. They said they did so on Tuesday, one business day after the request came in.
"Any noncompliance is now remedied," the document said.
Worrell is facing six charges tied to the Jan. 6 storming of the U.S. Capitol, including counts of civil disorder and physical violence in the Capitol grounds or buildings, among others. He has pleaded not guilty to all counts.
The circumstances for those arrested after the Jan. 6 riot have been challenged. Many of the detainees have been held in solitary confinement, an arrangement that has drawn bipartisan review from political figures such as Sens. Elizabeth Warren and Lindsey Graham.
According to the Justice Department, federal officials have arrested more than 500 people in connection to the Jan. 6 siege, hundreds of whom now face criminal charges.