Dear GAP Forum,
Simon Norton <firstname.lastname@example.org> asked the following question, which
I pass on to the forum, where many people know far more than me about the
representation theory of the symmetric group.
> I have written a GAP program to compute structure constants in
> symmetric groups without computing the whole table. I don't know how
> inefficient I am being, but it took over an hour to show that in S34
> (2^17,3^11.1,6^3.5.4^2.3) was 271/72, this being the simplest test I
> could work out for a rather far-out conjecture I am investigating
> (which this value confirmed).
Can I reasonably expect to go significantly further, and if so how far?