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Forwarded from Ignat Soroko:

Dear GAP-Forum,

On Monday, March 11, 2002 11:41 PM Igor Schein <igor@txc.com> wrote:

Now, what are factor groups of g4001

and g4007? I couldn't figure out how to compute them in GAP4, so

anyone could give me a clue on that, it'd be great. In particular,

I'd like to know how to obtain in GAP the result above, that g2003 is

a factor group of g4003.

It can be done in GAP4 very easily. For example, for G=g4007:

gap> G:=SmallGroup(40,7); <pc group of size 40 with 4 generators> gap> N:=NormalSubgroups(G);; gap> Q:=List(N,x->G/x); [ <pc group of size 40 with 4 generators>, <pc group of size 20 with 3 generators>, <pc group of size 20 with 3 generators>, <pc group of size 20 with 3 generators>, <pc group of size 10 with 2 generators>, <pc group of size 8 with 3 generators>, <pc group of size 4 with 2 generators>, <pc group of size 4 with 2 generators>, <pc group of size 4 with 2 generators>, <pc group of size 2 with 1 generators>, <pc group of size 2 with 1 generators>, <pc group of size 2 with 1 generators>, <pc group of size 1 with 0 generators> ] gap> List(last,IdGroup); [ [ 40, 7 ], [ 20, 1 ], [ 20, 1 ], [ 20, 4 ], [ 10, 1 ], [ 8, 2 ], [ 4, 1 ], [ 4, 1 ], [ 4, 2 ], [ 2, 1 ], [ 2, 1 ], [ 2, 1 ], [ 1, 1 ] ] The same with g4003.

Best,

Ignat

+===================================+ Dr. John J. McDermott Computing and X-ray Systems Manager Taylor & Naismith Laboratories University of St Andrews BMS Building, North Haugh St Andrews, Fife KY16 9ST, Scotland Tel: +44 1334 463478 Mob: +44 7941 507531 +===================================+

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