Let $H=\{e,(1,2),(3,4)\}$ and $K=\{e,(1,2),(3,4),(1,3),(2,4),(1,4),(2,3)\}$ be subgroups of $S_4$ where $e$ is the identity in $S_4$. Then is/are normal subgroups of $S_4$?
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@DietrichBurde $K$ is different between that question and this one. However, How to show that $K≤S_4$ is a normal subgroup? adresses this one specifically, in a way that makes me think it's a typo. – Arthur Nov 26 '15 at 09:53
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1Neither of those is normal and that's easy to see. But I think both of them are if you correct the possible typos... – Harto Saarinen Nov 26 '15 at 09:56