and a partial multiplication. The Ree group has order q12(q6 + 1) (q4 − 1) (q3 + 1) (q − 1) where q = 22n+1. The Schur multiplier is trivial. The outer automorphism group is cyclic of order 2n + 1. These Ree groups have the unusual property that the Coxeter group of their BN pair is not crystallographic: it is the dihedral group of order 16. showed that all Moufang octagons come from Ree groups of type . See also List of finite simple groups References External links ATLAS: Ree group R(27) Finite groups