Dear GAP forum
I have a central extension of a given permutation group in which the
kernel is an elementary abelian group which can also be represented
as a permutation group. I would like to represent the extension as
a permutation group. I can do it by using the wreath product. Can
someone tell me is there a permutation representation of such
extension which is of lesser degree then the representation obtained
from the wreath product?

Ella Shalev
Tel-aviv university.