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Single crystals of monoclinic La₅Co₂Ge₃ were grown using a self-flux method and were characterized by room-temperature powder X-ray diffraction, anisotropic temperature and field dependent magnetization, temperature dependent resistivity, specific heat, and muon spin resonance. La₅Co₂Ge₃ has a Curie temperature (T_C) of ∼3.8 K, as well as a clear loss of spin disorder scattering in resistivity data and a sharp specific heat anomaly. The magnetism associated with La₅Co₂Ge₃ has μ_eff = 0.92 μ_B per mol-Co, μ_sat = 0.11 μ_B per mol-Co, and a change in the entropy at T_C of ∼0.05 R ln2 per mol-Co making it a rare, itinerant, low T_C compound.