Dear GAP people,
I noticed the following unexpected behavior in GAP 4.11.0 (and some
older versions):
G:=SmallGroup(2^9,261648);;
H:=Image(IsomorphismPermGroup(G));
Size(Center(G)); #returns 4
Size(Center(H)); #returns 8
The same happens if we convert into an fp group. Other groups of order
512 and 1536 are affected as well.
I know very little about pc groups, but my guess is that the
presentation of G is somewhat inconsistent, although the problem does
not occur in MAGMA.
Best wishes and stay safe,
Benjamin
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