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In the case when $G$ is imprimitive on $V(\\Ga)$, namely when $V(\\Ga)$ admits a nontrivial $G$-invariant partition $\\BB$, the quotient graph $\\Ga_{\\BB}$ of $\\Ga$ with respect to $\\BB$ is always $G$-symmetric and sometimes even $(G, 2)$-arc transitive. (A $G$-symmetric graph is $(G, 2)$-arc transitive if $G$ is transitive on the set of oriented paths of length two.) 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