def test_alt_or_sym():
S = SymmetricGroup(10)
A = AlternatingGroup(10)
D = DihedralGroup(10)
sym = S.alt_or_sym()
alt = A.alt_or_sym()
dih = D.alt_or_sym()
assert sym == 'S' or sym == False
assert alt == 'A' or alt == False
assert dih == False
