We perform de Haas-van Alphen measurements and quasiparticle self-consistent textit{GW} (QStextit{GW}) calculations on FeS. The calculated Fermi surface (FS) consists of two hole and two electron cylinders. We observe all the eight predicted FS cross sections experimentally. With momentum-independent band-energy adjustments of less than 0.1 eV, the maximum deviation between the calculated and observed cross sections is less than 0.2% of the Brillouin zone area for $B parallel c$. The carrier density is $sim$0.5 carriers/Fe. The mass enhancements are nearly uniform across the FS cylinders and moderate, $sim$2. The absence of a third hole cylinder with $d_{xy}$ character is favorable for the formation of a nodal superconducting gap.