$ so that $\{\varepsilon_{\mathcal{C}}^{(0)}(H,K)~|~\mathcal{C} \in R_{0}\}$ is a set of representatives under the action of $\operatorname{Cen}_{H_{0}}(\varepsilon^{(0)}(H,K))$ on $\{\varepsilon_{\mathcal{C}}^{(0)}(H,K)~|~\mathcal{C} \in R_{0}