[GAP Forum] How to identify a group

[Nilo de Roock]

gap> G:=Group((4,6,5)(7,8,9),(1,7,2,4,6,9,5,3));
Group([ (4,6,5)(7,8,9), (1,7,2,4,6,9,5,3) ])
gap> Size(G);
432
gap> StructureDescription(G);
"(((C3 x C3) : Q8) : C3) : C2"

2006/1/26, Michael Schweitzer <ms-swissoft at arcor.de>:
> Dear forum members,
>
> given a group G of order n (given by generators). Is GAP
> able to identify the group by name or as the
> group of symmetries of some geometric object?
>
> For example: I define G such  that G is isomorphic to A5. Can I ask GAP:
> which group is G? And GAP answers: A5- which is,  for example,
> the symmetry group of the icosahedron.
>
> That is, does GAP contain a database of finite groups of
> small orders ( < several hundrets, say) which includes
> information about the transformation group aspect: this
> group, among other things, is the symmetry group of X or
> operates in a natural manner on X (I know that GAP
> does contain a database of small groups - but is this kind
> of information stored there?).
>
> The group in question is of order 432 with generators
>
> g1 := (4,6,5)(7,8,9) and  g2 := (1,7,2,4,6,9,5,3)
>
>
> Regards,
>   Michael Schweitzer
>
>
> Michael Schweitzer
> Alt-Heiligensee 51 A
> 13503 Berlin
> email: ms-swissoft at arcor.de
>
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