Maximal normal subgroup
= Maximal normal subgroup
{title2=$N\lhd G,\quad N\ne G,\quad N\subseteq M\lhd G\Rightarrow M=N\text{ or }M=G$}
A proper <normal subgroup> maximal among proper normal subgroups. Its quotient is a nontrivial <simple group>. Maximality among normal subgroups does not imply maximality among all subgroups.
// Target: algebra.bigb