  We discuss vortices allowed in two-gap superconductors, bilayer systems and
in equivalent extended Faddeev model. We show that in these systems there exist
vortices which carry an arbitrary fraction of magnetic flux quantum. Besides
that we discuss topological defects which do not carry magnetic flux and
describe features of ordinary one-magnetic-flux-quantum vortices in the two-gap
system. The results should be relevant for the newly discovered two-band
superconductor $Mg B_2$.
