Second cohomology group for trivial group action of Q8 on V4

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

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

where $$G$$ is the quaternion group (of order 8) and $$A$$ is the Klein four-group $$V_4 \cong \mathbb{Z}_2 \times \mathbb{Z}_2$$.

The group is isomorphic to elementary abelian group:E16.