Every Finite Simple Group (which is not Cyclic) has Even Order, and the Order of every Finite Simple noncommutative group is Doubly Even, i.e., divisible by 4 (Feit and Thompson 1963).

**References**

Feit, W. and Thompson, J. G. ``Solvability of Groups of Odd Order.'' *Pacific J. Math.* **13**, 775-1029, 1963.

© 1996-9

1999-05-26