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Dear GAP Forum,

Thanks for all who have answered my question on semidirect products, especially

Thomas Breuer.

He gave three ways to obtain the group I was looking for, and I've questions

about the two last ones.

Thomas Breuer wrote:

In the example mentioned,

I suspect the desired action of G on H is the natural

symplectic one.

There are several ways to construct the group in question.2. An alternative is to use the library of perfect groups in GAP.

That's a good method, but how do you know that the group in question is perfect?

Thomas Breuer wrote:

3. A third possibility is the construction of the semidirect

product as a group of 4 by 4 matrices over the field with

5 elements.

I can't see why this construction gives the group in question.Can you say a bit

more or give some references about that?

Best regards,

Olivier Cormier.

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