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.
@article{1193,
title = {Groups of Ree type in characteristic 3 acting on polytopes},
journal = {ARS MATHEMATICA CONTEMPORANEA},
volume = {14},
year = {2017},
doi = {10.26493/1855-3974.1193.0fa},
language = {EN},
url = {http://dml.mathdoc.fr/item/1193}
}
Leemans, Dimitri; Schulte, Egon; Van Maldeghem, Hendrik. Groups of Ree type in characteristic 3 acting on polytopes. ARS MATHEMATICA CONTEMPORANEA, Tome 14 (2017) . doi : 10.26493/1855-3974.1193.0fa. http://gdmltest.u-ga.fr/item/1193/