The Senate Judiciary Committee said last week that there was credible evidence that Mr. Clark was involved in efforts to interrupt the peaceful transfer of power, citing his proposal to deliver a letter to state legislators in Georgia and others encouraging them to delay certification of election results.

The Senate committee also said Mr. Clark recommended holding a news conference announcing that the Justice Department was investigating allegations of voter fraud, in line with Mr. Trump’s repeated demands, despite a lack of evidence of any fraud. Both proposals were rejected by senior leaders in the department.

The New York Times reported in January that Mr. Clark also discussed with Mr. Trump a plan to oust the acting attorney general, Jeffrey A. Rosen, and wield the department’s power to force state lawmakers in Georgia to overturn its presidential election results. Mr. Clark denied the account, which was based on the accounts of four former Trump administration officials who asked not to be named because of fear of retaliation.

The House panel’s subpoena requires Mr. Clark to produce records and testify at a deposition on Oct. 29.