What is a good way to describe and count the Sylow 2-subgroups of S5? The ones isomorphic to D8 should be simple enough to describe as the extra conjugates of the Sylow 2-subgroups of S4, but I am trying to figure out how to easily describe any/all those isomorphic to Q8, which don't exist in S4.(adsbygoogle = window.adsbygoogle || []).push({});

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# Describing the Sylow 2-subgroups of S5

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