There are 14 families of spherical groups, which can be written in orbifold notation as *532, 532, *432, 432, *332, 3*2, 332, *22N, 2*N, 22N, *NN, N*, Nx, and NN.
Spherical Group
See also
Orbifold NotationCite this as:
Weisstein, Eric W. "Spherical Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SphericalGroup.html