Groups of Ree type in characteristic 3 acting on polytopes

Every Ree group R( q ) , with q  ≠ 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  ≤ Aut(R( q )) is not a C-group and therefore not the automorphism group of an abstract regular polytope of any rank.