Making sense of the term $H^1(N,A)^{G/N}$ in the inflation-restriction exact sequence.

Question

I am having troubles understanding the superscript "G/N" in the third term of the standard inflation-restriction exact sequence $$ 0\to H^1(G/N,A^N)\to H^1(G,A)\to H^1(N,A)^{G/N}\to H^2(G/N,A^N)\to H^2(G,A) $$

Is it assumed here that $G/N$ somehow acts on the first cohomology group $H^1(N,A)$ so one could consider the fixed points of this action? If so, the action is quite nonobvious.