Dear Forum, I would like to know how we can understand the diversity between StructureDescription(SmallGroup(81,3)); StructureDescription(SmallGroup(81,8)); and StructureDescription(SmallGroup(81,14)). Of course all of them have the presentation "(C9 x C3) : C3" with different semi direct products which induced by \phi : C3----> Aut(C9 x C3). How we can exactly find the structure of \phi in all cases? Best regards. Mong.
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