Two groups are isomorphic if the correspondence between them is one-to-one and the "multiplication" table is preserved. For example, the point groups and are isomorphic groups, written or (Shanks 1993).

# Isomorphic Groups

## See also

Jordan-Hölder Theorem## Explore with Wolfram|Alpha

## References

Shanks, D.*Solved and Unsolved Problems in Number Theory, 4th ed.*New York: Chelsea, 1993.

## Referenced on Wolfram|Alpha

Isomorphic Groups## Cite this as:

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