# Conjugacy class size set-determined group

From Groupprops

*This group property is about the given group being determined, upto isomorphism, by certain statistic(s)*

## Definition

A finite group is said to be **conjugacy class size set-determined** if whenever is a group such that:

- and have the same order (i.e. cardinality)
- The set of sizes of conjugacy classes of is the same as that of

then and are isomorphic groups.