# 2-Sylow subgroup of rational group is rational if its class is at most two

From Groupprops

## Statement

Suppose is a Finite group (?) that is a Rational group (?) and is a -Sylow subgroup of . Further, suppose is a Group of nilpotency class two (?), i.e., the nilpotency class of is *at most* two. Then, is also a rational group.