[GAP Forum] Theory of groups (derived length)

[Alex Trofimuk]

-- Dear Gap Forum.
Alex Trofimuk asked:
I am trying to construct the example of groups G. It is solvable with 
derived length =6 and all Sylow p-subgroups are bicyclic or order p^3. 
(A p-groups is called bicyclic if it is product of two cyclic 
subgroups). How to do it? Thanks.
Alex Trofimuk.