Cylindrical velocity distributions of the different groups, as recovered by our methodology (lefthand side) against the true distributions (righthand side). Different stellar groups are represented by different colours, with the opacity of the colour representing the (0.5σ, 1σ, 2σ) levels (equivalently the 38%, 64%, and 95% regions). The groups are split into two separate subpanels, with the majority of phase-mixed groups in the top set and phase-clumped groups, with the addition of the Helmi Streams to allow the groups to be visually distinguished, in the bottom set.