  We present (with proof) a new family of decomposable Specht modules for the
symmetric group in characteristic 2. These Specht modules are labelled by
partitions of the form $(a,3,1^b)$, and are the first new examples found for
thirty years. Our method of proof is to exhibit summands isomorphic to
irreducible Specht modules, by constructing explicit homomorphisms between
Specht modules.
