中文摘要：

利用有限群的阶和群的素图次数型刻画了次数分别为75和76的对称群,得到对称群S75和S76都是可3-重OD-刻画的,并且对公开问题＂除S10外,所有对称群Sn（n≠p,p＋1）都是可3-重OD-刻画的＂给予了肯定的回答.

英文摘要：

It is proved that the symmetric groups S75 and S76 can be characterized by their orders and degree patterns.In fact,the symmetric groups S75 and S76are 3-fold OD-characterizable.This result gives a positive answer to the Open Problem ＂All the symmetric groups Sn（n≠p,p＋1）,except S10,are 3-fold ODcharacterizable＂.