Simple group of component type

This article defines a group property that can be evaluated, or makes sense, for simple groups

This article is about a definition in group theory that is standard among the group theory community (or sub-community that dabbles in such things) but is not very basic or common for people outside.
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Definition

A finite simple non-Abelian group $G$ is said to be a simple group of component type if for any involution $t$, the group $C_{G}(t)/O(C_{G}(t))$ has no quasisimple component.

Note that it does not matter which involution $t$ we pick because the involutions of a group form a single conjugacy class.