Abstract: A Mathematica package is proposed for calculation of Symmetries groups of differentical equations with the purpose of overcoming the difficulty of the so called "intermediate expression swell" and large scale determining equations in symbol calculations,the partion,decomposition and feedback strategies are taken.In this way,the overflow due to shortage of saving space is greatly avoided.The common useness and the commodious need for calculation environment,which make the program applicable to 386 and higher specification computers,are meant as the distinguished features and advantages of this program.

Key words: Symmetries groups, determining equations, partition method, Mathematica