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:
- 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.)
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