I What are the 230 space groups in solid state physics?

[MathematicalPhysicist]

It's written in one book I've got on solid state physics the following:

If one sought to study nature at the atomic scale and enumerated all the possible symmetry operations, keeping unchanged the positions of atoms (position symmetry), the number of possibilities is 230, making up what are known as the space groups.

Can someone please explain how to get this number of 230 combinatorially?
Thanks!

 

[MathematicalPhysicist]

OK I see a classification of them in wiki:
https://en.wikipedia.org/wiki/Space_group