The anhydrous divalent $3d$-metal dirhenate quantum materials, $\mathit{M}{\left(\mathrm{Re}{\mathrm{O}}_4\right)}_2$,were synthesized using solid-state methods for $\mathit{M}=\mathrm{Mn}$ through Zn. Previously unreported $\mathrm{Mg}{\left(\mathrm{Re}{\mathrm{O}}_4\right)}_2$ is also described. Their layered crystal structures, which feature an in-plane triangular lattice of ${\mathit{M}}^{2+}$, were refined using single-crystal x-ray diffraction, and their optical absorption and several other physical properties were characterized. Their magnetism and heat capacity reveal long-range magnetic order at low temperatures in many of the $\mathit{M}{\left(\mathrm{Re}{\mathrm{O}}_4\right)}_2$ phases. Notably, many of these ordered states are sensitive to applied magnetic fields and can be readily suppressed by relatively small fields, consistent with complex magnetic interactions in a layered triangular framework, and appear worthy of further study.

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• Crystal symmetry
• Magnetic order
• Solid-state chemistry
• Crystal structures
• Sample preparation