-- Dear GAP Forum,
Alex Trofimuk asked
My aim is to construct group G of odd order and |G| not divisible by p^5
for every prime p dividing |G|. Therefore DerivedLength(G)=4.
For example, I found group H:= SmallGroup(1029,11) , 1029=7*7*7*3 and
DerivedLength(N)=3. Let Aut:= AutomorphismGroup(H). Then I computed
group B:= SylowSubgroup(Aut,3) such that |B|=9. Then I constructs
G:=SemidirectProduct( B, H ), but DerivedLength(G)=3. My question : why
DerivedLength(G)<>4? Thanks.
Alex Trofimuk.
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