  We report the magnetic properties of a cobalt oxalate metal-organic-framework
featuring the hyperoctagon lattice. Our thermodynamic measurements reveal the
$J_{\rm{eff}}$ = 1/2 state of the high-spin Co$^{2+}$ (3$\textit{d}^{7}$) ion
and the two successive magnetic transitions at zero field with two-stage
entropy release. $^{13}$C-NMR measurements reveal the absence of an internal
magnetic field in the intermediate temperature phase. Multiple field-induced
phases are observed before full saturation at around 40 T. We argue the unique
cobalt oxalate network gives rise to the Kitaev interaction and/or a bond
frustration effect, providing an unconventional platform for frustrated
magnetism on the hyperoctagon lattice.
