 & \mathrm{m}\bar{0}\mathrm{m}     \\ \hline\hline     & {\mathcal{C}}_{q+0} & {\mathcal{C}}_{q+0}^0 & {\mathcal{C}}_{q}^0 & {\mathcal{C}}_{q+0}^0 & {\mathcal{C}}_{q}^0\times{\mathcal{C}}_{q+0} & {\mathcal{C}}_{q}^0     \\ \hline\hline     \mathrm{A}      & 0     & 0                 & {\mathbb{Z}}^0             & 0         & {\mathbb{Z}}^0             & {\mathbb{Z}}^0     \\ \hline     \mathrm{AIII}   & {\mathbb{Z}}& {\mathbb{Z}}^0             & 0                 & {\mathbb{Z}}^0     & {\mathbb{Z}}& 0     \\ \hline\hline     & {\mathcal{R}}_{q-0} & {\mathcal{R}}_{q-0}^0\times{\mathcal{C}}_{q+0} & {\mathcal{R}}_{q-0}^0\times{\mathcal{C}}_{q} & {\mathcal{R}}_{q-0}^0 & {\mathcal{R}}_{q-0}^0\times{\mathcal{R}}_{q-0} & {\mathcal{R}}_{q-0}^0     \\ \hline\hline     \mathrm{AI}     & 0     & 0                 & {\mathbb{Z}}^0             & 0         & {\mathbb{Z}}^0             & {\mathbb{Z}}^0     \\ \hline     \mathrm{BDI}    & 0     & {\mathbb{Z}}& 0                 & 0         & {\mathbb{Z}}& 0     \\ \hline     \mathrm{D}      & 0     & 0                 & {\mathbb{Z}}& 0         & 0                 & 0     \\ \hline     \mathrm{DIII}   & {\mathbb{Z}}& {\mathbb{Z}}^0             & 0                 & {\mathbb{Z}}^0     & 0                 & 0     \\ \hline     \mathrm{AII}    & {\mathbb{Z}}_0 & {\mathbb{Z}}_0^0           & {\mathbb{Z}}^0             & {\mathbb{Z}}_0^0   & {\mathbb{Z}}^0             & {\mathbb{Z}}^0      \\ \hline     \mathrm{CII}    & {\mathbb{Z}}_0 & {\mathbb{Z}}_0^0\times{\mathbb{Z}}& {\mathbb{Z}}_0^0           & {\mathbb{Z}}_0^0   & {\mathbb{Z}}_0^0\times{\mathbb{Z}}& {\mathbb{Z}}_0^0            \\ \hline     \mathrm{C}      & 0     & 0                 & {\mathbb{Z}}_0^0\times{\mathbb{Z}}& 0         & {\mathbb{Z}}_0^0           & {\mathbb{Z}}_0^0     \\ \hline     \mathrm{CI}     & {\mathbb{Z}}& {\mathbb{Z}}^0             & 0                 & {\mathbb{Z}}^0     & {\mathbb{Z}}_0             & 0      \end{array}$$  