Abstract
This chapter discusses a characterization of 3D4 (q3), q = 2n by its sylow 2-subgroup. If X is a finite group with Sylow 2-subgroup U, it is said that a finite group G is of type X if a Sylow 2-subgroup of G is isomorphic to U. The main result is the theorem that says if G be a finite simple group of type 3D4 (q3), q = 2n, with Sylow 2-subgroup S. Then G is isomorphic to 3D4(q3). The chapter discusses the structure of S and explains the automorphism group of S is found.
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