Trump is "gleefully" embracing "incredibly dangerous white nationalist tropes and ideas," said a spokesperson for the Jewish organization J Street.
A woman seen wearing the mask insisted that she is "not a Nazi" and that she was making a political statement.
Bruno Dey was convicted of 5,232 counts of accessory to murder by the Hamburg state court.
The customers were told the Nazi design was an inside joke gone wrong.
The ads received more than 1 million impressions before Facebook pulled them under pressure.
Friedrich Karl Berger admitted to serving as an armed guard at Neuengamme, a labor and death camp, in 1945. He now lives in Tennessee.
People wondering how Hitler took control of Germany should "simply watch" the GOP-controlled Senate, the actor suggested.
Joachim Peiper ordered the killing of 84 U.S. POWs. The Defense Department and two Army units posted a photo on their Facebook pages that romanticized him.
The items, which also included Valentine's Day keychains, were deemed disturbing by the memorial that operates at the former concentration camp.
The luxury fashion house said it was “never our intention” to sell an outfit that evoked memories of "one of the most odious moments in the history of mankind.”