  We obtain all possible solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield
equation exactly, containing configurations made of walls, vortices and
monopoles in the Higgs phase. We use supersymmetric U(N_C) gauge theories with
eight supercharges with N_F fundamental hypermultiplets in the strong coupling
limit. The moduli space for the composite solitons is found to be the space of
all holomorphic maps from a complex plane to the wall moduli space found
recently, the deformed complex Grassmann manifold. Monopoles in the Higgs phase
are also found in U(1) gauge theory.
