New meromorphic CFTs from cosets

A bstract In recent years it has been understood that new rational CFTs can be discovered by applying the coset construction to meromorphic CFTs. Here we turn this approach around and show construction, together with classification of CFT c ? 24, used predict existence ? 32 whose Kac-Moody algebras are non-simply-laced and/or at levels greater than 1. This implies they non-lattice theories. Using three-character relations, propose 34 infinite series theories arbitrarily large central charge, as well 46 = 40.