  Recently, a new group of layered transition-metal tetra-chalcogenides were
proposed, via first principles calculations, to correspond to a new family of
Weyl type-II semimetals with promising topological properties in the bulk as
well as in the monolayer limit. In this article, we present measurements of the
Shubnikov-de Haas (SdH) and de Haas-van Alphen effects under high magnetic
fields for the type-II Weyl semimetallic candidate NbIrTe$_{4}$. We find that
the angular dependence of the observed Fermi surface extremal cross-sectional
areas agree well with our DFT calculations supporting the existence of Weyl
type-II points in this material. Although we observe a large and non-saturating
magnetoresistivity in NbIrTe$_{4}$ under fields all the way up to 35 T,
Hall-effect measurements indicate that NbIrTe$_{4}$ is not a compensated
semimetal. The transverse magnetoresistivity displays a four-fold angular
dependence akin to the so-called butterfly magnetoresistivity observed in nodal
line semimetals. However, we conclude that its field and this unconventional
angular-dependence are governed by the topography of the Fermi-surface and the
resulting anisotropy in effective masses and in carrier mobilities.
