  We present a comprehensive study of Parker-type bounds on magnetic monopoles
with arbitrary magnetic charge, including minicharged monopoles and magnetic
black holes. We derive the bounds based on the survival of galactic magnetic
fields, seed magnetic fields, as well as primordial magnetic fields. We find
that monopoles with different magnetic charges are best constrained by
different astrophysical systems: while monopoles with a Dirac charge are
tightly constrained by seed galactic magnetic fields, minicharged monopoles are
strongly constrained by primordial magnetic fields, and magnetic black holes by
the density of dark matter. We also assess the viability of the various types
of monopoles as dark matter, by studying whether they can cluster with galaxies
hosting magnetic fields.
