[GAP Forum] Normal closure of a nilpotent subgroup

[Dan Lanke]

Dear GAP Forum,

I am trying to find an example of a finite group G with a subnormal nilpotent subgroup H such that the normal closure of H in G is not nilpotent. I am not
sure if such an example exists.  I used GAP to see that no such example
exists for |G| < 190. I run into memory problems with the computer for
larger groups. Any suggestions please?

Thanks,
DL

       
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