A simple way to enumerate some types of groups due to J. H. Conway (Zwillinger 1995).
Orbifold Notation
See also
Spherical Group, Wallpaper GroupsReferences
Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, pp. 259-260, 1995.Referenced on Wolfram|Alpha
Orbifold NotationCite this as:
Weisstein, Eric W. "Orbifold Notation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/OrbifoldNotation.html