\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 & 19.56 $\pm$ 7.56 (2.39) & 11.92 $\pm$ 4.61 (1.46) \\
 & 4 & 5 & -- & -- & 100 & MWM & 19.55 $\pm$ 7.56 (2.39) & 11.92 $\pm$ 4.60 (1.46) \\
 & 16 & 5 & -- & -- & 100 & MWM & 19.39 $\pm$ 7.67 (2.43) & 11.82 $\pm$ 4.68 (1.48) \\
 & 8 & 20 & -- & -- & 100 & MWM & 19.60 $\pm$ 7.58 (2.40) & 11.95 $\pm$ 4.62 (1.46) \\
 & 8 & 40 & -- & -- & 100 & MWM & 24.10 $\pm$ 16.08 (5.08) & 14.68 $\pm$ 9.80 (3.10) \\
 & 8 & 60 & -- & -- & 100 & MWM & 20.46 $\pm$ 7.02 (2.22) & 12.47 $\pm$ 4.28 (1.35) \\
 & 8 & 5 & -- & -- & 80 & MWM & 18.54 $\pm$ 5.10 (1.61) & 11.30 $\pm$ 3.11 (0.98) \\
 & 8 & 5 & -- & -- & 100 & MWM_NRpriors & 17.87 $\pm$ 7.31 (2.31) & 10.89 $\pm$ 4.45 (1.41) \\
\midrule
\multicolumn{9}{l}{\textit{ET}} \\
 & 8 & 2 & -- & -- & 100 & MWM & 3.29 $\pm$ 3.76 (1.19) & 0.47 $\pm$ 0.53 (0.17) \\
 & 4 & 2 & -- & -- & 100 & MWM & 3.21 $\pm$ 3.81 (1.21) & 0.45 $\pm$ 0.54 (0.17) \\
 & 16 & 2 & -- & -- & 100 & MWM & 3.66 $\pm$ 3.77 (1.19) & 0.52 $\pm$ 0.53 (0.17) \\
 & 8 & 5 & -- & -- & 100 & MWM & 3.34 $\pm$ 3.82 (1.21) & 0.47 $\pm$ 0.54 (0.17) \\
 & 8 & 20 & -- & -- & 100 & MWM & 3.17 $\pm$ 1.97 (0.62) & 0.45 $\pm$ 0.28 (0.09) \\
 & 8 & 40 & -- & -- & 100 & MWM & 2.27 $\pm$ 1.16 (0.37) & 0.32 $\pm$ 0.16 (0.05) \\
 & 8 & 2 & -- & -- & 80 & MWM & 2.46 $\pm$ 2.15 (0.68) & 0.35 $\pm$ 0.30 (0.10) \\
 & 8 & 2 & -- & -- & 100 & MWM_NRpriors & 3.59 $\pm$ 3.60 (1.14) & 0.51 $\pm$ 0.51 (0.16) \\
 & 8 & 2 & -- & -- & 100 & NRSur7dq2 & 3.85 $\pm$ 3.83 (1.21) & 0.55 $\pm$ 0.54 (0.17) \\
\midrule
\multicolumn{9}{l}{\textit{CE}} \\
 & 8 & 2 & -- & -- & 100 & MWM & 1.98 $\pm$ 1.61 (0.51) & 0.28 $\pm$ 0.23 (0.07) \\
 & 4 & 2 & -- & -- & 100 & MWM & 1.96 $\pm$ 1.63 (0.51) & 0.28 $\pm$ 0.23 (0.07) \\
 & 16 & 2 & -- & -- & 100 & MWM & 1.97 $\pm$ 1.60 (0.50) & 0.28 $\pm$ 0.23 (0.07) \\
 & 8 & 5 & -- & -- & 100 & MWM & 1.98 $\pm$ 1.61 (0.51) & 0.28 $\pm$ 0.23 (0.07) \\
 & 8 & 20 & -- & -- & 100 & MWM & 1.79 $\pm$ 1.49 (0.47) & 0.25 $\pm$ 0.21 (0.07) \\
 & 8 & 40 & -- & -- & 100 & MWM & 1.98 $\pm$ 1.57 (0.50) & 0.28 $\pm$ 0.22 (0.07) \\
 & 8 & 2 & -- & -- & 80 & MWM & 2.15 $\pm$ 1.74 (0.55) & 0.30 $\pm$ 0.25 (0.08) \\
 & 8 & 2 & -- & -- & 100 & MWM_NRpriors & 1.66 $\pm$ 1.36 (0.43) & 0.24 $\pm$ 0.19 (0.06) \\
 & 8 & 2 & -- & -- & 100 & NRSur7dq2 & 1.99 $\pm$ 1.54 (0.49) & 0.28 $\pm$ 0.22 (0.07) \\
\midrule
\multicolumn{9}{l}{\textit{ET+CE}} \\
 & 8 & 2 & -- & -- & 100 & MWM & 2.04 $\pm$ 1.94 (0.61) & 0.29 $\pm$ 0.27 (0.09) \\
 & 4 & 2 & -- & -- & 100 & MWM & 2.04 $\pm$ 1.94 (0.61) & 0.29 $\pm$ 0.27 (0.09) \\
 & 16 & 2 & -- & -- & 100 & MWM & 2.04 $\pm$ 1.94 (0.61) & 0.29 $\pm$ 0.27 (0.09) \\
 & 8 & 5 & -- & -- & 100 & MWM & 2.04 $\pm$ 1.95 (0.62) & 0.29 $\pm$ 0.28 (0.09) \\
 & 8 & 20 & -- & -- & 100 & MWM & 1.58 $\pm$ 1.25 (0.39) & 0.22 $\pm$ 0.18 (0.06) \\
 & 8 & 40 & -- & -- & 100 & MWM & 1.82 $\pm$ 1.28 (0.41) & 0.26 $\pm$ 0.18 (0.06) \\
 & 8 & 2 & -- & -- & 80 & MWM & 2.20 $\pm$ 2.12 (0.67) & 0.31 $\pm$ 0.30 (0.09) \\
 & 8 & 2 & -- & -- & 100 & MWM_NRpriors & 2.18 $\pm$ 2.06 (0.65) & 0.31 $\pm$ 0.29 (0.09) \\
\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) \\
 & -- & -- & 16384 & $10^{6}$ & $10^{8}$ & NRSur7dq2 & 56.00 $\pm$ 64.09 (20.27) & 28.00 $\pm$ 32.04 (10.13) \\
\bottomrule
\end{tabular}
\end{table*}