Is smaller Templar entity with insufficienty number of full members. Leader of Preceptory is Preceptor. It’s entity under jurisdiction higher entity.
Commandery is fundamental unity in Order. Lead by Knight Commander. It’s autonome entity under jurisdiction higher entity.
Organization structured localy, build from smaller groups, Commanderies.
There is never more than one Grand Priory for each country, and individuals cannot be simply “members of OSMTH” without being members of a national Grand Priory or an autonomous Priory/Commandery.