  We systematically analyze backgrounds that are holographic duals to
non-relativistic CFTs, by constructing them as cosets of the Schrodinger group
and variants thereof. These cosets G/H are generically non-reductive and we
discuss in generality how a metric on such spaces can be determined from a
non-degenerate H-invariant symmetric two-form. Applying this to the d=2
Schrodinger algebra, we reproduce the five-dimensional backgrounds proposed as
duals of fermions at unitarity, and under reasonable physical assumptions, we
demonstrate uniqueness of this background. The proposed gravity dual of the
Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into
this organizational scheme and uniqueness of this background can also be shown.
