A sub-variety of the Grassmannian

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Is there a nice description of the variety $G(3,6) \setminus \sqcup_{i+j=3}(G(i,3) \times G(j,3))$ in terms of blow ups or a sub-variety of a secant variety ? Where the product of Grassmannians $G(i,3) \times G(3-i,3)$ embedded in the bigger Grassmannian $G(3,6)$ naturally.