diff --git a/src/sectors.jl b/src/sectors.jl
index b0c10a3..814336e 100644
--- a/src/sectors.jl
+++ b/src/sectors.jl
@@ -417,7 +417,7 @@ context of line bending.
 """
 function frobenius_schur_indicator(a::Sector)
     ν = frobenius_schur_phase(a)
-    return a == conj(a) ? zero(ν) : ν
+    return a == conj(a) ? ν : zero(ν)
 end
 
 # Not necessary
diff --git a/test/runtests.jl b/test/runtests.jl
index 14ea961..997cb4e 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -90,6 +90,26 @@ end
     @test size(Rsymbol(a, b, c)) == (0, 0)
 end
 
+@testset "Frobenius-Schur" begin
+    @test frobenius_schur_phase(SU2Irrep(0)) == 1.0
+    @test frobenius_schur_phase(SU2Irrep(1 // 2)) == -1.0
+    @test frobenius_schur_phase(Z2Irrep(0)) == 1.0
+    @test frobenius_schur_phase(Z2Irrep(1)) == 1.0
+    @test frobenius_schur_phase(Z3Irrep(0)) == 1.0
+    @test frobenius_schur_phase(Z3Irrep(1)) == 1.0
+    @test frobenius_schur_phase(U1Irrep(0)) == 1.0
+    @test frobenius_schur_phase(U1Irrep(1)) == 1.0
+
+    @test frobenius_schur_indicator(SU2Irrep(0)) == 1.0
+    @test frobenius_schur_indicator(SU2Irrep(1 // 2)) == -1.0
+    @test frobenius_schur_indicator(Z2Irrep(0)) == 1.0
+    @test frobenius_schur_indicator(Z2Irrep(1)) == 1.0
+    @test frobenius_schur_indicator(Z3Irrep(0)) == 1.0
+    @test frobenius_schur_indicator(Z3Irrep(1)) == 0.0
+    @test frobenius_schur_indicator(U1Irrep(0)) == 1.0
+    @test frobenius_schur_indicator(U1Irrep(1)) == 0.0
+end
+
 @testset "SectorProduct printing" begin
     a = SU2Irrep(1)
     @test repr(a ⊗ a) == "Irrep[SU₂](1) ⊗ Irrep[SU₂](1)"