# Sylow number-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 **Sylow number-determined** if given any group such that:

- The order of is the same as the order of
- The Sylow numbers of are the same as those of

Then and must be isomorphic.