Translation of "Admittedly" in German

The winners were admittedly also lucky.

Die Gewinner hatten allerdings auch Glück.

She is a beauty, admittedly, but she has her faults.

Sie ist zugegebenermaßen eine Schönheit, aber sie hat ihre Fehler.

Admittedly, this is an unrewarding task, but somebody has got to deal with it.

Das ist zugegebenermaßen eine undankbare Aufgabe, aber jemand muss sich damit befassen.

- Since there wasn't a single pane of glass left in the windows, he decided to board them up. True, you couldn't see much out of them, but then again, it made it less cold.
- There being no glass left in the windows, he decided to board them up. This admittedly restricted the view, but it was warm to make up for it.

Da keine einzige Scheibe mehr in den Fenstern war, hatte er sich entschlossen, sie mit Brettern zu vernageln; man sah zwar nicht viel, aber dafür war es warm.