  Using the method of modular-invariant differential equations, we classify a
family of Rational Conformal Field Theories with two and three characters
having no Kac-Moody algebra. In addition to unitary and non-unitary minimal
models, we find "dual" theories whose characters obey bilinear relations with
those of the minimal models to give the Moonshine Module. In some ways this
relation is analogous to cosets of meromorphic CFT's. The theory dual in this
sense to the Ising model has central charge 47/2 and is related to the Baby
Monster Module.
