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).
See alsoJordan-Hölder Theorem
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ReferencesShanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, 1993.
Referenced on Wolfram|AlphaIsomorphic Groups
Cite this as:
Weisstein, Eric W. "Isomorphic Groups." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IsomorphicGroups.html