Simple group of Ree type

Definition
A simple group of Ree type is a finite simple non-Abelian group satisfying the following conditions:


 * It has an Abelian Sylow 2-subgroup
 * It contains an involution $$t$$ such that

$$C_G(t) =  \times PSL(2,q)$$

where $$q > 5$$.

The case $$q = 5$$ corresponds instead to the Janko group (since $$PSL(2,5) = A_5$$).