Zeolites having the IFR structure and containing aluminum in their crystal structure can be made by preparing a reaction mixture comprising a zeolite which is an active source of aluminum oxide, an active source of alkali metal oxide, an active source of an oxide of a tetravalent element, an organic template selected from the group consisting of a 1-benzyl-4-aza-1-azonia-bicyclo[2.2.2]octane cation and a N-benzyl quinuclidinium cation, and maintaining the reaction mixture under conditions sufficient to form crystals of the zeolite.