Graph theory: name for a strongly connected component where every edge is bidirectional?

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Hi :) I was wondering if there is a term for a strongly connected component in a directed graph where every edge in the component is bidirectional. E.g. Graph1 would qualify, but graph2 would not, despite the fact Graph2 is strongly connected.

Graph1: edge(1, 2), edge(2, 1), edge(2, 3), edge(3, 2),

Graph2: edge(1, 2), edge(2, 3), edge(3, 1),

Thanks!