The strongly embedded theorem identifies all simple groups with a strongly 2-embedded subgroup. In particular, it asserts that no simple group has a strongly 2-embedded 2'-local subgroup.
Strongly Embedded Theorem
See also
Simple Group, SubgroupExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Strongly Embedded Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StronglyEmbeddedTheorem.html