  The magnetic ground state of polycrystalline N\'eel skyrmion hosting material
GaV$_4$S$_8$ has been investigated using ac susceptibility and powder neutron
diffraction. In the absence of an applied magnetic field GaV$_4$S$_8$ undergoes
a transition from a paramagnetic to a cycloidal state below 13~K and then to a
ferromagnetic-like state below 6~K. With evidence from ac susceptibility and
powder neutron diffraction, we have identified the commensurate magnetic
structure at 1.5 K, with ordered magnetic moments of $0.23(2)~\mu_{\mathrm{B}}$
on the V1 sites and $0.22(1)~\mu_{\mathrm{B}}$ on the V2 sites. These moments
have ferromagnetic-like alignment but with a 39(8)$^{\circ}$ canting of the
magnetic moments on the V2 sites away from the V$_4$ cluster. In the
incommensurate magnetic phase that exists between 6 and 13 K, we provide a
thorough and careful analysis of the cycloidal magnetic structure exhibited by
this material using powder neutron diffraction.
