I am looking for an example that $H,K,L$ be subgroups of $G$ such that $HKL$ is a group but prodoct of any two is not.
Thanks.
2026-04-05 23:03:41.1775430221
Is there any such example?
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$$G=S_3\;,\;\;H=\langle\, (12)\,\rangle\;,\;\;K=\langle\,(23)\,\rangle\;,\;\;L=\langle\,(13)\,\rangle$$