Compactifications of string theory on group manifolds with fluxes, performed via the Scherk-Schwarz mechanism, give rise to gauged supergravities. Using double field theory, this procedure can be made T-duality covariant, yielding a set of geometric and non-geometric fluxes whose string theory origin is often unclear. In this paper, we systematically analyse the complete catalogue of half-maximal gauged supergravities in seven dimensions. By constructing a dictionary between orbifold twists and generalised fluxes, we identify which gaugings admit a realisation as (a)symmetric orbifolds, and which do not, establishing the latter as candidates for the gauged supergravity swampland.