Question: find detailed info on packages

I'm trying to write some mapplets for my professor (in Maple 11/12). Most importantly I need a program for working with group theory.  I've looked at the help menus in maple on the group package and all of its commands, I also read all of the maple programming booklets.  Still I have no idea how to do simple things like create the group Z2 or S3 and Z+ Z2.  I anyone has any idea on where more information on these issues might be.

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