# Isometry group of low dimensional Alexandrov space

It is known by the work of Galaz-García and Guijarro, that the dimension of the isometry group of an $n$-dimensional Alexandrov space (of curvature bounded below) is bounded above by $\frac{n(n+1)}{2}$, however little is said about the groups or the isometries themselves.

Is it known what the isometry groups of low dimensional ($n=2,3$) Alexandrov spaces are? Is it known for example for spaces with $\mathrm{curv}\geq0$?