  In this article, we discuss subspace duals of a frame of translates by an
action of a closed abelian subgroup $\Gamma$ of a locally compact group
$\mathscr G.$ These subspace duals are not required to lie in the space
generated by the frame. We characterise translation-generated subspace duals of
a frame/Riesz basis involving the Zak transform for the pair $(\mathscr G,
\Gamma) .$ We continue our discussion on the orthogonality of two
translation-generated Bessel pairs using the Zak transform, which allows us to
explore the dual of super-frames. As an example, we extend our findings to
splines, Gabor systems, $p$-adic fields $\mathbb Q p,$ locally compact abelian
groups using the fiberization map.
