Concord — A hearing on a lawsuit to block the handover of New Hampshire voter data was postponed on Tuesday after President Donald Trump’s commission on election fraud told states to hold off on providing detailed voter information in the face of increasing legal challenges like the one in the Granite State.

The commission had given states until Friday to provide data including names, birth dates and partial Social Security numbers, but in an email on Monday, the panel’s designated officer told states to hold off until a judge rules on a lawsuit filed by the Electronic Privacy Information Center in Washington.

In its initial filings in that case, the commission said it planned to collect the data via a Department of Defense file exchange program. After the privacy group said that system was neither secure nor approved to collect such information, the commission said the director of White House information technology would repurpose an existing system instead, and information already sent by Arkansas through the defense department program would be deleted.

In a filing on Tuesday, the privacy group updated its complaint to add the information technology director as a defendant.

“The commission may not play ‘hide the ball’ with the nation’s voter records,” the group wrote. “With such vast demands for personal information come commensurate responsibilities to provide security and privacy, and to comply with all legal obligations. Surely that is fundamental for an organization charged with promoting ‘election integrity.’ ”

The commission, which has until Monday to respond to the amended complaint, has argued that there is nothing wrong with one government entity sharing public information with another and that the privacy group has not made a case that any of its members would be harmed by it.

Trump, a Republican, created the commission in May to investigate his allegations — offered without evidence — that millions of people voted illegally in 2016.

Democrats blast the commission as a biased panel bent on voter suppression, and 17 states and the District of Columbia are refusing to comply with the commission’s request. Many others plan to provide only limited publicly available information.

In addition to the lawsuit filed by the privacy group, the American Civil Liberties Union has filed lawsuits in Washington, Florida and New Hampshire. The hearing set for Tuesday in the New Hampshire case was postponed in light of the commission’s email.