[GAP Forum] Finding [2,p]-generated groups

[Luc Gillibert]

Dear GAP Forum,

I have the following problem: I want to list all the groups of order n generated by one element of order 2 and one element of order p>2, with p prime (and n divided by 2 and by p, of course). I can achieve that goal using the SmallGroup library and testing all the groups of order n, but is there any faster way ?

Same question for the groups generated by two elements of order p, with p prime.

Thank you.

Best Regards,
Luc Gillibert