  We combine space group representation theory together with scanning of closed
subdomains of the Brillouin zone with Wilson loops to algebraically determine
global band structure topology. Considering space group #19 as a case study, we
show that the energy ordering of the irreducible representations at the
high-symmetry points $\{\Gamma,S,T,U\}$ fully determines the global band
topology, with all topological classes characterized through their simple and
double Dirac-points.
