  Ferromagnets generate an anomalous Hall effect even without the presence of a
magnetic field, something that conventional antiferromagnets cannot replicate
but noncollinear antiferromagnets can. The anomalous Hall effect governed by
the resistivity tensor plays a crucial role in determining the presence of time
reversal symmetry and the topology present in the system. In this work we
reveal the complex origin of the anomalous Hall effect arising in noncollinear
antiferromagnets by performing Hall measurements with fields applied in
selected directions in space with respect to the crystalline axes. Our coplanar
magnetic field geometry goes beyond the conventional perpendicular field
geometry used for ferromagnets and allows us to suppress any magnetic dipole
contribution. It allows us to map the in-plane anomalous Hall contribution and
we demonstrate a 120$^\circ$ symmetry which we find to be governed by the
octupole moment at high fields. At low fields we subsequently discover a
surprising topological Hall-like signature and, from a combination of
theoretical techniques, we show that the spins can be recast into dipole,
emergent octupole and noncoplanar effective magnetic moments. These co-existing
orders enable magnetization dynamics unachievable in either ferromagnetic or
conventional collinear antiferromagnetic materials.
