  We use the permutation symmetry between the product of several group
manifolds in combination with orbifolds and T-duality to construct new classes
of symmetry breaking branes on products of group manifolds. The resulting
branes mix the submanifolds and break part of the diagonal chiral algebra of
the theory. We perform a Langrangian analysis as well as a boundary CFT
construction of these branes and find agreement between the two methods.
