Groups of order 2.3^n

This article discusses the groups of order $$2 \cdot 3^n$$, where $$n$$ varies over nonnegative integers. Note that any such group has a normal 3-Sylow subgroup and a complement to that which is a 2-Sylow subgroup isomorphic to cyclic group:Z2. Thus, the group is either a nilpotent group (a direct product of the 3-Sylow subgroup and cyclic group:Z2) or can be described as the internal semidirect product of a group of order $$3^n$$ by a group of order two whose non-identity element acts as a non-identity automorphism.

See also groups of order 3^n.