Thin group (finite group theory)

In the mathematical classification of [finite simple groups], a thin group is a finite group such that for every odd prime number p, the Sylow p-subgroups of the 2-local subgroups are cyclic. Informally, these are the groups that resemble rank 1 groups of Lie type over a finite field of characteristic 2.
defined thin groups and classified those of characteristic 2 type in which all 2-local subgroups are solvable.
The thin simple groups were classified by. The list of finite simple thin groups consists of:

The projective special linear groups PSL₂
The projective special linear groups PSL₃ for p = 1 + 2^a or p = 1 + 2^a3, and PSL₃
The projective special unitary groups PSU₃ for p = 1 - 2^a or p = 1 - 2^a3, and PSU₃
The Suzuki groups Sz
The Tits group ²F₄'
The Steinberg group ³D₄
The Mathieu group M₁₁
The Janko group J1