Simple group of order 2~n·3~2·p_1p_2…p_m

Portraying the structure of simple group with its order is one of most common methods in the simple group classification.Considering the number of prime factors of simple group,this article studies simple group whose order is 2n·32·p1p2…pm using classification theorem for simple groups,where p1p2,…,pm are pairwise coprime and larger than 3,m,n are any positive integers,and get that it is isomorphic to M11,M22,M23,A6,A7,A8,A4(2) or some A1(q).