  The detection of a stochastic background of gravitational waves can reveal
details about first-order phase transitions (FOPTs) at a time of $10^{-13}s$ of
the early universe. We specifically discuss quiver-type GUTs which avoid both
proton decay and a desert hypothesis. A quiver based on $SU(3)^{12}$ which
breaks at a $E=4000$ GeV to trinification $SU(3)^3$ has a much larger
($g_*=1,272$) number of effective massless degrees of freedom than the Standard
Model. Assuming a FOPT for this model we investigate the strain sensitivity of
this model for a wide range of FOPT parameters.
