Chief factor
= Chief factor
{title2=$N/M\triangleleft G/M$}
A chief factor of $G$ is a quotient $N/M$ with $M,N$ normal in $G$ and no $G$-normal subgroup strictly between them. Equivalently, $N/M$ is a <minimal normal subgroup> of $G/M$. Such factors are the successive factors of a <chief series>, and are direct products of isomorphic simple groups when $G$ is finite.