  We describe indecomposable objects in Deligne's category
$\underline{\operatorname{Re}}\!\operatorname{p}(O_\delta)$ and explain how to
decompose their tensor products. We then classify thick ideals in
$\underline{\operatorname{Re}}\!\operatorname{p}(O_\delta)$. As an application
we classify the indecomposable summands of tensor powers of the standard
representation of the orthosymplectic supergroup up to isomorphism.
