# Conjugacy class APS

Let $(G,\Phi)$ be an APS of groups. The conjugacy class APS of $G$ is an APS of sets whose $n^{th}$ member is $C(G_n)$, the set of conjugacy classes of $G_n$, and where the concatenation map from $C(G_m) \times C(G_n)$ is the same as $\Phi_{m,n}$, upto conjugacy.