Dear Mr. Ewald:

GAP4.2 finds

gap> LatticeSubgroups(g);
<subgroup lattice of <pc group of size 5819 with 3 generators>, 10
classes,
602 subgroups>

in about 3.4 seconds on my Macintosh at home. I am surprised that you
have difficulty. In future, when you have problems of this sort, please
write to GAP trouble at gap-trouble@dcs.st-and.ac.uk, rather than to the
GAP Forum.

Sincerely,

Charles Wright, Chairman
The GAP Council

Kurt Ewald wrote:
>
> Dear forum,
> what is aproximately the limit of grouporder in LatticeSubgroups?
> For [5819,5] GAP4 broke down.
> Best wishes
> K.Ewald