  Every Ree group $R(q)$, with $q\neq 3$ an odd power of 3, is the automorphism
group of an abstract regular polytope, and any such polytope is necessarily a
regular polyhedron (a map on a surface). However, an almost simple group $G$
with $R(q) < G \leq \mathsf{Aut}(R(q))$ is not a C-group and therefore not the
automorphism group of an abstract regular polytope of any rank.
