Groth is the youngest of five siblings from Jerichow (Bezirk Magdeburg) in the former German Democratic Republic, where he also spent his childhood.

He also worked at the Residenz Theater, the Munich Kammerspiele, the Berliner Ensemble, the Burgtheater in Vienna, and the Salzburg Festival.

[1] In addition to an extensive theater career, Groth has also acted in numerous television productions and feature films.

In 1992, he acted in the war drama Stalingrad and in 2006 he took on the role of Nazi Minister of Propaganda Joseph Goebbels in Dani Levy's My Führer – The Really Truest Truth about Adolf Hitler.

[2] More recently, he held a leading role in the Netflix series Dark as Clausen, a police investigator, as well as appearing in the first episode of the third season of Fargo.