  The coevolution of galaxies and their central supermassive black holes is a
subject of intense research. A class of objects, the dust-obscured galaxies
(DOGs) are particularly interesting in this respect as they are thought to
represent a short evolutionary phase when violent star formation activity in
the host galaxy may coexist with matter accretion onto the black hole powering
the active nucleus. Here we investigate different types of DOGs classified by
their mid-infrared spectral energy distributions to reveal whether they can be
distinguished by their arcsec-scale radio properties. Radio emission is
unaffected by dust obscuration and may originate from both star formation and
an active nucleus. We analyse a large sample of 661 DOGs complied from the
literature and find that only a small fraction of them ($\sim 2$ per cent) are
detected with flux densities exceeding $\sim 1$ mJy in the Faint Images of the
Radio Sky at Twenty-Centimeters (FIRST) survey. These radio-detected objects
are almost exclusively `power-law' DOGs. Stacking analysis of the FIRST image
cutouts centred on the positions of individually radio-undetected sources
suggests that weak radio emission is present in `power-law' DOGs. On the other
hand, radio emission from `bump' DOGs is only marginally detected in the
median-stacked FIRST image.
