The Germans had much more, uh, backwards views on whats a "men's job" and whats a "women's"
so, as desperate as they were, they never deployed women, at least not in the numbers as the Soviets.
FWIW, the wehrmacht had some 500k women auxiliaries in 1945. About half of these were volunteers. Thexy did the jobs you already listed.
At the beginning of the war Hitler stated
We possess a generation of healthy men - and we, National Socialists, are going to watch - Germany will not form any section of women grenade throwers or any corps of women elite snipers.
but that stance was somewhat softened over the course of the war, allowing women to fill the named auxiliary positions.
Yeah, NS ideology had a clear idea of where men and women belong.