\begin{table*}[ht]
\centering
\caption{Extrapolated $1\sigma$ uncertainties on $H_0$ from GW memory, scaled to the expected number of detections via $\sigma(N)=\sigma(N_\mathrm{det})\sqrt{N_\mathrm{det}/N}$. Each cell shows the mean $\pm$ population scatter $\sigma_\mathrm{pop}$ (astrophysical variance across event realisations), with the error on the mean $\sigma_\mathrm{err}$ (Monte Carlo accuracy) in parentheses.}
\label{tab:sigma_H0_combined}
\begin{tabular}{lrrrrrrcc}
\toprule
Detector & $T_\mathrm{obs}$ [s] & $f_\mathrm{min}$ [Hz] & $N_\mathrm{samples}$ & $M_\mathrm{min}\ [M_\odot]$ & $M_\mathrm{max}\ [M_\odot]$ & Approx. & $\sigma_{H_0}(N_\mathrm{lo})$ [$\pm\,\sigma_\mathrm{pop}$ ($\sigma_\mathrm{err}$)] [km\,s$^{-1}$\,Mpc$^{-1}$] & $\sigma_{H_0}(N_\mathrm{hi})$ [$\pm\,\sigma_\mathrm{pop}$ ($\sigma_\mathrm{err}$)] [km\,s$^{-1}$\,Mpc$^{-1}$] \\
\midrule
\multicolumn{9}{l}{\textit{aLIGO/Virgo}} \\
 & 8 & 5 & -- & -- & 100 & MWM & 12.88 $\pm$ 4.98 (1.57) & 7.88 $\pm$ 3.05 (0.96) \\
 & 4 & 5 & -- & -- & 100 & MWM & 12.87 $\pm$ 4.97 (1.57) & 7.88 $\pm$ 3.05 (0.96) \\
 & 16 & 5 & -- & -- & 100 & MWM & 12.77 $\pm$ 5.05 (1.60) & 7.82 $\pm$ 3.09 (0.98) \\
 & 8 & 20 & -- & -- & 100 & MWM & 12.90 $\pm$ 4.99 (1.58) & 7.90 $\pm$ 3.06 (0.97) \\
 & 8 & 40 & -- & -- & 100 & MWM & 15.86 $\pm$ 10.59 (3.35) & 9.71 $\pm$ 6.48 (2.05) \\
 & 8 & 60 & -- & -- & 100 & MWM & 13.47 $\pm$ 4.62 (1.46) & 8.25 $\pm$ 2.83 (0.90) \\
 & 8 & 5 & -- & -- & 80 & MWM & 12.20 $\pm$ 3.36 (1.06) & 7.47 $\pm$ 2.06 (0.65) \\
 & 8 & 5 & -- & -- & 100 & MWM_NRpriors & 11.77 $\pm$ 4.81 (1.52) & 7.21 $\pm$ 2.94 (0.93) \\
\midrule
\multicolumn{9}{l}{\textit{ET}} \\
 & 8 & 2 & -- & -- & 100 & MWM & 1.04 $\pm$ 1.19 (0.38) & 0.60 $\pm$ 0.69 (0.22) \\
 & 4 & 2 & -- & -- & 100 & MWM & 1.02 $\pm$ 1.21 (0.38) & 0.59 $\pm$ 0.70 (0.22) \\
 & 16 & 2 & -- & -- & 100 & MWM & 1.16 $\pm$ 1.19 (0.38) & 0.67 $\pm$ 0.69 (0.22) \\
 & 8 & 5 & -- & -- & 100 & MWM & 1.06 $\pm$ 1.21 (0.38) & 0.61 $\pm$ 0.70 (0.22) \\
 & 8 & 20 & -- & -- & 100 & MWM & 1.00 $\pm$ 0.62 (0.20) & 0.58 $\pm$ 0.36 (0.11) \\
 & 8 & 40 & -- & -- & 100 & MWM & 0.72 $\pm$ 0.37 (0.12) & 0.41 $\pm$ 0.21 (0.07) \\
 & 8 & 2 & -- & -- & 80 & MWM & 0.78 $\pm$ 0.68 (0.21) & 0.45 $\pm$ 0.39 (0.12) \\
 & 8 & 2 & -- & -- & 100 & MWM_NRpriors & 1.14 $\pm$ 1.14 (0.36) & 0.66 $\pm$ 0.66 (0.21) \\
\midrule
\multicolumn{9}{l}{\textit{CE}} \\
 & 8 & 2 & -- & -- & 100 & MWM & 0.63 $\pm$ 0.51 (0.16) & 0.36 $\pm$ 0.29 (0.09) \\
 & 4 & 2 & -- & -- & 100 & MWM & 0.62 $\pm$ 0.51 (0.16) & 0.36 $\pm$ 0.30 (0.09) \\
 & 16 & 2 & -- & -- & 100 & MWM & 0.62 $\pm$ 0.50 (0.16) & 0.36 $\pm$ 0.29 (0.09) \\
 & 8 & 5 & -- & -- & 100 & MWM & 0.63 $\pm$ 0.51 (0.16) & 0.36 $\pm$ 0.29 (0.09) \\
 & 8 & 20 & -- & -- & 100 & MWM & 0.57 $\pm$ 0.47 (0.15) & 0.33 $\pm$ 0.27 (0.09) \\
 & 8 & 40 & -- & -- & 100 & MWM & 0.63 $\pm$ 0.50 (0.16) & 0.36 $\pm$ 0.29 (0.09) \\
 & 8 & 2 & -- & -- & 80 & MWM & 0.68 $\pm$ 0.55 (0.17) & 0.39 $\pm$ 0.32 (0.10) \\
 & 8 & 2 & -- & -- & 100 & MWM_NRpriors & 0.53 $\pm$ 0.43 (0.14) & 0.30 $\pm$ 0.25 (0.08) \\
 & 8 & 2 & -- & -- & 100 & NRSur7dq2 & 0.63 $\pm$ 0.49 (0.15) & 0.36 $\pm$ 0.28 (0.09) \\
\midrule
\multicolumn{9}{l}{\textit{ET+CE}} \\
 & 8 & 2 & -- & -- & 100 & MWM & 0.64 $\pm$ 0.61 (0.19) & 0.37 $\pm$ 0.35 (0.11) \\
 & 4 & 2 & -- & -- & 100 & MWM & 0.64 $\pm$ 0.61 (0.19) & 0.37 $\pm$ 0.35 (0.11) \\
 & 16 & 2 & -- & -- & 100 & MWM & 0.64 $\pm$ 0.61 (0.19) & 0.37 $\pm$ 0.35 (0.11) \\
 & 8 & 5 & -- & -- & 100 & MWM & 0.64 $\pm$ 0.62 (0.19) & 0.37 $\pm$ 0.36 (0.11) \\
 & 8 & 20 & -- & -- & 100 & MWM & 0.50 $\pm$ 0.39 (0.12) & 0.29 $\pm$ 0.23 (0.07) \\
 & 8 & 40 & -- & -- & 100 & MWM & 0.57 $\pm$ 0.41 (0.13) & 0.33 $\pm$ 0.23 (0.07) \\
 & 8 & 2 & -- & -- & 80 & MWM & 0.70 $\pm$ 0.67 (0.21) & 0.40 $\pm$ 0.39 (0.12) \\
 & 8 & 2 & -- & -- & 100 & MWM_NRpriors & 0.69 $\pm$ 0.65 (0.21) & 0.40 $\pm$ 0.38 (0.12) \\
\midrule
\multicolumn{9}{l}{\textit{LISA (light seeds)}} \\
 & -- & -- & 16384 & 10000 & $10^{6}$ & MWM & 64.82 $\pm$ 55.05 (17.41) & 20.50 $\pm$ 17.41 (5.50) \\
 & -- & -- & 4096 & 10000 & $10^{6}$ & MWM & 64.94 $\pm$ 54.55 (17.25) & 20.54 $\pm$ 17.25 (5.45) \\
 & -- & -- & 8192 & 10000 & $10^{6}$ & MWM & 65.08 $\pm$ 54.80 (17.33) & 20.58 $\pm$ 17.33 (5.48) \\
 & -- & -- & 16384 & 10000 & $10^{6}$ & MWM_NRpriors & 117.18 $\pm$ 226.67 (71.68) & 37.06 $\pm$ 71.68 (22.67) \\
\midrule
\multicolumn{9}{l}{\textit{LISA (heavy seeds)}} \\
 & -- & -- & 16384 & $10^{6}$ & $10^{8}$ & MWM & 66.14 $\pm$ 94.87 (30.00) & 33.07 $\pm$ 47.43 (15.00) \\
 & -- & -- & 4096 & $10^{6}$ & $10^{8}$ & MWM & 37.36 $\pm$ 44.60 (14.10) & 18.68 $\pm$ 22.30 (7.05) \\
 & -- & -- & 8192 & $10^{6}$ & $10^{8}$ & MWM & 57.68 $\pm$ 82.11 (25.96) & 28.84 $\pm$ 41.05 (12.98) \\
 & -- & -- & 16384 & $10^{6}$ & $10^{8}$ & MWM_NRpriors & 59.54 $\pm$ 88.63 (28.03) & 29.77 $\pm$ 44.32 (14.01) \\
\bottomrule
\end{tabular}
\end{table*}