I have four permutations, each of which has degree 76422528 (for those 
interested, this is the degree of a primitive representation of PSp(6,3)).

The permutations generate a group, which I believe to have order 9170703360 
(this is twice the order of PSp(6,3)).

For various reasons, I wish to know how the extra factor of 2 is acting.


I can read the four permutations into GAP, and I can form the group generated 
by them, but now I need to compute with it.

I have just asked GAP for the order of the group, both for double-checking, and 
also so that it sets up the internal data structures needed for further 
computation.


But now it is sitting there, consuming cpu-time, but with no other indication 
of progress.

Initially it chewed up memory quite quickly for a while, but it has stabilised 
and seems to just be grinding on in the same memory footprint - I left it 
overnight, and the memory used has been constant.


Is there any way that I can guess whether this will finish (a) tonight, (b) 
tomorrow, or (c) just before the sun goes supernova?

Alternatively, can I “help” it by *telling* GAP the order of the group? (In 
Magma, I can _assign_ the order of the group and then use RandomSchreier to 
generate a bases/s.g.s). Of course, I lose the double-checking aspect of 
things, but I’m willing to do that if necessary.


Thanks

Gordon



















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