Several times throughout the film, SS officers are seen wearing the famous 1930s era black SS uniforms. This is very common mistake in many WW2 films. The Black SS uniforms were discontinued at the start of the war in 1939 and replaced by the green/gray uniform. Only Waffen SS tank crews wore black uniforms in combat. This was not, however, the all-black uniform worn by the pre-war SS, but rather a short, black waist-cut coat similar in style to that worn by tank crews in the Wehrmacht.
In the scene when Elise Ziman, André Ziman and the other escaping Jews are led to what they believe is the border of Switzerland and the Germans are waiting along the tree line for them. A close up of a German solder wearing a Wehrmacht (army) uniform is shown behind a machine gun. In reality the solders waiting for them would have been Waffen SS. During the war Wehrmacht Units did not have anything to do with rounding up and evacuation of the Jews. This was the job of the SS, SD, Polizei and Gestapo.