  We examine the orbits of the (complex) symplectic group, $Sp_n$, on the flag
manifold, $\mathscr{F}\ell(\mathbb{C}^{2n})$, in a very concrete way. We use
two approaches: we Gr\"obner degenerate the orbits to unions of Schubert
varieties (for a equations of a particular union of Schubert varieties see
\cite{NWunions}) and we find a subset $\mathcal{A}$ of the orbit closures
containing the basic elements of the poset of orbit closures under containment,
which represent the geometric and combinatorial building blocks for the orbit
closures.
