First two components of the PCA of the 7D latent space. Each point corresponds to a galaxy cluster from its colour corresponding simulation with the contours representing the 68% region for that simulation. The unknown datasets, BAHAMAS-0w and BAHAMAS-0s, are represented by the hatched contours and asterisk next to the legend label. We interpret that the first component corresponds to a transformation of log(σ_DM/m) and the second component corresponds to the level of AGN feedback.