  Magnetic monopoles and toroidal order are compelling features that have long
been theorized but remain elusive in real materials. Multiferroic hexagonal
ferrites are an interesting realization of frustrated triangular lattice, where
magnetic order is coupled to ferroelectricity and trimerization. Here we
propose a mechanism, through which magnetic monopolar and toroidal orders
emerge from the combination of 120$^\circ$ antiferromagnetism and
trimerization, present in hexagonal manganites and ferrites. The experimentally
observable signatures of magnetic monopolar and toroidal orders are identified
in the inelastic neutron scattering cross section, simulated from a microscopic
model of LuFeO3. The non-reciprocal magnon propagation is demonstrated.
