Antiferromagnet more subblatices

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In ordinary definition antiferromagnet lattice has to sublattices, one with spins up, and one with of spin down in ##T=0##. Why in some cases people discuss situations with four or even more subblatices? Do you have explanation for this? Some references maybe?
 
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I'm speaking in general. I just see that in some papers some authors uses for example four sublattices for body centered cubic lattice. Why not two? I don't understand this.
 
I could speculate about spin waves, or non-collinear antiferromagnetism, or with a non-elemental material there may be multiple magnetic sublattices, or some other situation but without something specific I can't say more than that.