Mn₃Al₂Ge₃O₁₂ is a member of the garnet family of compounds, A₃B₂(CO₄)₃, whose magnetic properties are affected by a high degree of geometrical frustration. The magnetic frustration is at the origin of the intriguing magnetic properties that these materials exhibit, such as a long range hidden order derived from multipoles formed from 10-spin loops in the gadolinium gallium garnet, Gd₃Ga₅O₁₂. Mn₃Al₂Ge₃O₁₂ garnet is isostructural to the thoroughly investigated Gd garnets, Gd₃Ga₅O₁₂ and Gd₃Al₅O₁₂. Moreover, in Mn₃Al₂Ge₃O₁₂, the Heisenberg-like Mn²⁺ magnetic ions (L= 0) are also arranged in corner sharing triangles that form a hyperkagomé structure. The identical crystallographic structures and similar Heisenberg-like behaviour of the magnetic ions make manganese aluminium germanium garnet the closest compound to the gadolinium garnets in its magnetic properties. Here, we report, for the first time, the growth of a large, high quality single crystal of the Mn₃Al₂Ge₃O₁₂ garnet by the floating zone method. X-ray diffraction techniques were used to characterise and confirm the high crystalline quality of the Mn₃Al₂Ge₃O₁₂ crystal boule. Temperature-dependent magnetic susceptibility measurements reveal an antiferromagnetic ordering of the Mn²⁺ ions below T_N = 6.5 K. The high quality of the single crystal obtained makes it ideal for detailed investigations of the magnetic properties of the system, especially using neutron scattering techniques.