For sage, I do not know, but why not try GAP? It has a package HAP for doing
homology computations and it might solve your problem.

On Wed, Apr 8, 2009 at 8:16 PM, Ursula Whitcher
<urs...@math.washington.edu>wrote:

>
> I'd like to know H^3(G,Z) for two particular finite groups, namely L_2
> (7), also known as the Chevalley group PSL(2,F_7), and M_20, a
> subgroup of the Mathieu group M_24 which is isomorphic to a semidirect
> product of (Z/2Z)^4 with the alternating group A_5.
>
> Is Sage capable of these computations?  If so, how do I express these
> groups (or how should I start trying to express them)?  If not, does
> anyone have a suggestion for a place to look this up, or another
> computation tool I should use?
>
> Thanks!
> Ursula
> >
>

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