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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