In this paper, We have proved finite Abelian group G has 147 types when| A ( G ) | = 25pq, here p, q are different odd primes.

• 本文利用有限Abel群G的自同构群A(G)的阶来确定群G的构造,证明了当|A(G)|=2~5pq时,G最多有147种类型。