[GAP Forum] size of permutation groups

[Jack Schmidt]

Just a quick note:  Stephen Kohl pointed out that the groups are
alternating groups for n=6..9, and IsNaturalAlternatingGroup
shows they are full alternating groups on n! points for n=6..10.
The probability of two random permutations generating a permutation
group other than An or Sn is quite low, so it is not too surprising
to get such a large group.

Allan Adler wrote:
> At any rate, now I'd like to know what groups one does get, but it is
> pretty clear that I'm not equipped to work on it, for lack of suitable
> computer facilities, and I can't afford to buy better ones. So, if someone
> does figure out more about these groups, I hope they will let me know
> about them.