Second cohomology group for trivial group action of A5 on Z2

Description of the group
This article describes the second cohomology group for trivial group action:

$$\! H^2(G;A)$$

where $$G \cong A_5$$ is alternating group:A5 (the alternating group on a set of size five) and $$A$$ is cyclic group:Z2. Note that $$G$$ has order $$5!/2 = 60$$ and $$A$$ has order 2.

The cohomology group itself is isomorphic to cyclic group:Z2.

Computation of the group
The group can be computed using group cohomology of alternating group:A5.