The ordering of magnetic moments in about 60 compounds containing M=Cr, Mn, Fe, Co, Ni, Pd, rare earths or U is analyzed by the self-coordination numbers of nearest, second and third neighbor positions T 1, T 2, T 3 and the ratio r= y/ x of the equivalent positions x and remaining positions y. The plot of T 1, T 2 values for primitive cubic or hexagonal, face-centered or body-centered cubic lattices shows similar structures as in ordered alloys with small T 2 values for attractive interactions and large T 2 values at repulsive interactions. The intermediate interactions with T 1, T 2 values at the border of the structure map can be described by structure families with a combination of structural units.