diff --git a/Projections.jl b/Projections.jl
index 4374b35..37db2e2 100644
--- a/Projections.jl
+++ b/Projections.jl
@@ -71,7 +71,7 @@ end
 function central_projection(RG::GroupRing, char::Function, T::Type=Rational{Int})
     result = RG(T)
     for g in RG.basis
-        result[g] = char(g)
+        result[g] = char(inv(g))
     end
     return convert(T, char(RG.group())//Int(order(RG.group))*result)
 end