BERLIN — Germany’s second-richest family built its multibillion-dollar fortune with Krispy Kreme Doughnuts, Jimmy Choo shoes and Calvin Klein perfume — and forced laborers under the Nazis.

The Reimann family, which controls the consumer goods conglomerate JAB Holding Company, recently commissioned a historian to dig deep into company archives and shed light on its activities during the 12 years of Nazi rule.

The initial revelations, 74 years after World War II ended, are damning.

Albert Reimann Sr. and his son Albert Reimann Jr., who ran the company in the 1930s and 1940s, were enthusiastic Hitler supporters and anti-Semites, who condoned the abuse of forced laborers, not only in their industrial chemicals company in southern Germany, but also in their own home.

Female workers from Eastern Europe were forced to stand at attention naked in their factory barracks. Those who refused were sexually abused. Workers were kicked and beaten, among them one Russian woman, who cleaned in the Reimanns’ private villa.