The list can be used to determine which known group a given finite group G is isomorphic to: first determine the order of G, then look up the candidates for that order in the list below. If you know whether G is abelian or not, some candidates can be eliminated right away. To distinguish between the remaining candidates, look at the orders of your group's elements, and match it with the orders of the candidate group's elements. |

- Mathematical examples
- Curves
- Complex reflection groups
- Complexity classes
- Examples in general topology
- Finite simple groups
- Fourier-related transforms
- Mathematical functions
- Mathematical knots and links
- Manifolds
- Mathematical shapes
- Matrices
- Numbers
- Polygons, polyhedra and polytopes
- Regular polytopes
- Simple Lie groups
- Small groups
- Special functions and eponyms
- Algebraic surfaces
- Surfaces
- Table of Lie groups

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