Isomorphism and Subgraphs · Superchallenge problem

Let $G$ have vertices $1,\ldots,7$ and edges $13,16,17,23,25,27,34,35,37$. Let $H$ have vertices $1,\ldots,7$ and edges $12,16,23,24,26,27,34,36,45$. These are isomorphic via a unique $\varphi:G\to H$, with $\varphi(1)=4$ (as found before). Find $\varphi(2)+\varphi(7)$.