Abstract
By using electric computer machine, via computation method, we obtained some important properties of alternating groupA 6, as below: 1)A 6 has 501 subgroups in total, and for each subgroup we give its generators; 2) the index ofA 6’s subgroup can only be 1,2,3,4,5,6,8,9,10,12,18,24,36,60,360; 3) all subgroups ofA 6 are separated into 22 conjugate classes, and the subgroups contained in each class are listed.
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Foundation item: Supported by the Natural Science Foundation of Hubei Province (99J165)
Biography: HUANG Ben-wen(1948-), male, Associate professor, research interest is in computation group.