[GAP Forum] S4 isomorphic to semi-direct product of V4 and S3

[Sopsku]

Dear Forum,

I am continuing my struggle with trying to learn GAP and group theory at the
same time.

I am looking at a problem set where it asks to show that S4 is isomorphic to
the semi-direct product of V4 (i.e. C2xC2) and S3. I cannot seem to form
this semi-direct product. [i.e. I cannot find elements in the
AutomorphismGroup that match up with the order of the group in order to find
the GroupHomomorphismbyImages as I have done for simpler examples such as A4
isomorphic to semi-direct product of C3 and V4]

How do I use GAP to form the semi-direct product S3 and V4.

Thank you for your help.
    Ron