  Topological phases in magnetic materials offer novel tunability of
topological properties via varying the underlying magnetism. We show that three
dimensional Kitaev materials can provide a great opportunity for controlling
symmetry-protected topological nodal magnons. These materials are originally
considered as strong candidates for the Kitaev quantum spin liquid due to the
bond-dependent frustrating spin exchange interactions. As a concrete example,
we consider the symmetry and topology of the magnons in the canted zig-zag
ordered state in the hyperhoneycomb $\beta\text{-}\mathrm{Li_2IrO_3}$, which
can be obtained by applying a magnetic field in the counter-rotating spiral
state at zero field. It is shown that the magnetic glide symmetries and the
non-Hermitian nature of the bosonic magnons lead to unique topological
protection that is different from the case of the fermionic counterparts. We
investigate how such topological magnons can be controlled by changing the
symmetry of the underlying spin exchange interactions.
