There is a slight discrepancy between the GAP 3 catalogue numbers and those defined in Hall-Senior's book.
For order 16, there is a mix-up between nummbers 3 and 4: According to Hall-Senior: (16,3) corresponds to Z4 X Z4 (GAP ID (16,2)) and (16,4) corresponds to Z8 X Z2 (GAP ID (16,5)) According to the GAP 3 catalogue: (16,4) corresponds to Z4 X Z4 (GAP ID (16,2)) and (16,3) corresponds to Z8 X Z2 (GAP ID (16,5)) Vipul * Quoting Bettina Eick who at 2012-04-17 08:59:58+0000 (Tue) wrote > > Dear Forum, > > as far as I remember, one can get this information as follows. > > The groups of order 64 as determined by Hall and Senior are part > of the solvable groups library of GAP 3. The id of a group in this > GAP 3 catalogue can be obtained in GAP 4 via Gap3CatalogueIdGroup. > Thus with > > gap> hs := List(AllSmallGroups(64), x -> Gap3CatalogueIdGroup(x)[2]);; > gap> Position(hs, 187); > 245 > > one finds that the Hall-Senior group 187 is SmallGroup(64,245); > > Best wishes, > > Bettina > > > > On Mon, 16 Apr 2012, sumeyra uskudar wrote: > > >dear forum, > >is there a function in gap (or anywhere) which can give the small group id > >of a group when we give the hall-senior number? or visaversa? > > > >Indeed, I need the subgroup structure of the group of order 64 which has > >Hall Senior number 187. but I can not get the small group ID from anywhere > >thus it is hard to define it in GAP. > > > >-- > >*Sümeyra Bedir* > >_______________________________________________ > >Forum mailing list > >Forum@mail.gap-system.org > >http://mail.gap-system.org/mailman/listinfo/forum > > > _______________________________________________ > Forum mailing list > Forum@mail.gap-system.org > http://mail.gap-system.org/mailman/listinfo/forum _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
