I've just read that any maximal subgroup of $p-group$,$P$ is normal in $P$.Now,I need to know that is there any subgroup of a $G$ which is maximal in $G$ but not normal in $G$?
2026-04-23 00:29:29.1776904169
Need a subgroup of a group $G$ which is maximal in $G$ but not normal.
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For example,
$$\left\{\,(1),\,(12)\,\right\}\;\;\;\text{is maximal and non-normal in}\;\;\;S_3$$