Galois subspaces for the rational normal curve

We characterize all $(n-2)$-dimensional linear subspaces of ${\mathbb{P}}^n$ such that the induced linear projection, when restricted to the rational normal curve, gives a Galois morphism. We give an explicit description of these spaces as a disjoint union of locally closed subvarieties in the Grassmannian $\mathbb{G}(n-2,n)$.