Hi,
why if I ask IdGroup(g1) with g1 defined in the following way

f:=FreeGroup("a","b");;
g:=f/[f.1^4,f.2^4,(f.1*f.2)^2,(f.1^(-1)*f.2)^2];
g1:=DirectProduct(g,AsGroup([(),(1,2)]));
IdGroup(g1);

I obtain this message:

value property is already set the other way at
SetCanEasilyCompareElements( FamilyObj( One( G ) ), true );
IsomorphismPermGroup( CollectionsFamily( fam )!.wholeGroup ) called from

IsomorphismPermGroup( FamilyObj( left ) ) called from
One( G ) called from
ClosureGroup( G, obj ) called from
ClosureSubgroupNC( C, gen ) called from
...
Entering break read-eval-print loop, you can 'quit;' to quit to outer
loop,
or you can return to set it anyhow to continue
brk>

Thanks, Nicola.