In the plane, there are 17 lattice groups, eight of which are pure translation. In , there are 32 point groups and 230 space groups. In , there are 4783 space lattice groups.

# Lattice Groups

## See also

Point Groups, Space Groups, Wallpaper Groups## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Lattice Groups." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/LatticeGroups.html