  Recent studies identified spin-order-driven phenomena such as spin-charge
interconversion without relying on the relativistic spin-orbit interaction.
Those physical properties can be prominent in systems containing light magnetic
atoms due to sizable exchange splitting and may pave the way for realization of
giant responses correlated with the spin degree of freedom. In this paper, we
present a systematic symmetry analysis based on the spin crystallographic
groups and identify the physical property of a vast number of magnetic
materials up to 1500 in total. By decoupling the spin and orbital degrees of
freedom, our analysis enables us to take a closer look into the relation
between the dimensionality of spin structures and the resultant physical
properties and to identify the spin and orbital contributions separately. In
stark contrast to the established analysis with magnetic space groups, the spin
crystallographic group manifests richer symmetry including spin-translation
symmetry and leads to emergent responses. For representative examples, we
discuss the geometrical nature of the anomalous Hall effect and magnetoelectric
effect and classify the spin Hall effect arising from the nonrelativistic
spin-charge coupling. Using the power of computational analysis, we apply our
symmetry analysis to a wide range of magnets, encompassing complex magnets such
as those with noncoplanar spin structures as well as collinear and coplanar
magnets. We identify emergent multipoles relevant to physical responses and
argue that our method provides a systematic tool for exploring sizable
electromagnetic responses driven by spin order.
