  We give an explicit construction of the complete set of Cardy boundary states
that respect the extended chiral algebra for symmetric product orbifolds. The
states are labelled by a choice of seed theory boundary states as well as a
choice of representations of the symmetric group. At large $N$, we analyze the
BCFT data which is relevant for holography, namely the boundary entropy and the
one-point functions of single-trace operators. In some cases, typical boundary
states are compatible with a bulk description in terms of an End-of-the-World
brane along with backreacted matter fields. We discuss the significance of
these results for the AdS/BCFT correspondence.
