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I finally got version 3.2. Playing with the new features, I tried

gap> g:=ThreeGroup(243,1);;

gap> t:=CharTablePGroup(g);;

It took just about an hour to construct the character table. This is a

lot more than I am used to for groups of this size (roughly) from

version 3.1. However, I was appalled when I looked more closely and

discovered this group is the cyclic group of order 243. An hour to find

the character table of a cyclic group? (This is actual running time,

according to ps.)

Is there some flaw in the method being used here? I am a bit worried

that there might be similar performance problems if a group happens to

have a large cyclic subgroup or quotient group in the wrong place.

Note this is on a clunky old Sparcstation 1+, no speed demon, using the

binary I got from wuarchive.wustl.edu. I haven't compiled GAP 3.2

locally yet, but I intend to.

Character tables of other groups of order 243 seem to be constructed

much faster (minute or two). So far the cyclic one is the only one

like this I have found.

David Sibley NT3O

sibley@math.psu.edu

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