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This paper determines that the 2-extra connectivity of $AQ_n$ is $6n-17$ for $n\\geq 9$ and the 2-extra edge-connectivity is $6n-9$ for $n\\geq 4$. That is, for $n\\geq 9$ (respectively, $n\\geq 4$), at least $6n-17$ vertices (respectively, $6n-9$ edges) of $AQ_n$ have to be removed to get a disconnected graph that contains no isolated vertices and isolated edges. 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