  Topological nodal superconductors possess gapless low energy excitations that
are characterized by point or line nodal Fermi surfaces. In this work, using a
coupled wire construction, we study topological nodal superconductors that have
protected Dirac nodal points. In this construction, the low-energy electronic
degrees of freedom are confined in a three dimensional array of wires, which
emerge as pairing vortices of a microscopic superconducting system. The vortex
array harbors an antiferromagnetic time-reversal and a mirror glide symmetry
that protect the massless Dirac fermion in the single-body non-interacting
limit. Within this model, we demonstrate exact-solvable many-body interactions
that preserve the underlying symmetries and introduce a finite excitation
energy gap. These gapping interactions support fractionalization and
generically lead to non-trivial topological order. We also construct a special
case of $N=16$ Dirac fermions where corresponding the gapping interaction leads
to a trivial $E_8$ topological order that is closely related to the
cancellation of the large gravitational anomaly.
