Let $k$ be a number field and $S$ be a finite set of places of $k$.
Let $G$ be a connected semisimple algebraic group over $k$.
Let $k_S=\prod_{v\in S}k_v$
where $k_v$ is the completion of $k$ at $v$. 

**Question:** Is maximal compact subgroup of $G(k_S)$ unique up to conjugation?
If it is not unique, are there finitely many of them up to conjugation?