Is there a group of order greater than 8 that does not decompose into a direct product such that its Sylow 2-subgroup isomorphic quaternion group $Q_8$?
2026-03-25 19:06:30.1774465590
Group of order greater than 8 doesn't decompose into a direct product and Sylow 2-subgroup isomorphic quaternion group
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Hint: $SL(2,3)$ of order $24$.