> < ^ Date: Tue, 22 Oct 2002 10:03:22 -0600 (MDT)
> < ^ From: Alexander Hulpke <hulpke@math.colostate.edu >
< ^ Subject: Re: Conjugacy classes of lower-order subgroups

Dear GAP-Forum

Alexander Konovalov wrote:

I need to calculate conjugacy classes of subgroups of order 16 (or of all
orders not greater then 16) in PcGroup of order 2^15.

In the manual there are two special methods for subgroup lattice
calculation which allows to state size of desired subgroups:
- LatticeByCyclicExtension
- SubgroupSolvableGroup (in combination with ExactSizeConsiderFunction)

which one could be more efficient in this case ?

LatticeByCyclicExtension works from the bottom up, SubgroupsSolvableGroup
from the top down. In general I would expect that

- The method in which subgroups are substantially ``closer'' will work
better. In this case this would be cyclic extension. Please note that you
can give a exclusion function to speed calculations up by eliminating
groups which are too big.

(In general SubgroupsSolvableGroup is more efficient than
LatticeByCyclicExtension if the group is solvable.)


Alexander Hulpke

-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hulpke@math.colostate.edu, Phone: ++1-970-4914288

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