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As part of the data processing for Gaia Data Release~1 (Gaia DR1) a specialastrometric solution was computed, the so-called auxiliary quasar solution.This gives positions for selected extragalactic objects, including radiosources in the second realisation of the International Celestial ReferenceFrame (ICRF2) that have optical counterparts bright enough to be observed withGaia. A subset of these positions was used to align the positional referenceframe of Gaia DR1 with the ICRF2. We describe the properties of the Gaiaauxiliary quasar solution for a subset of sources matched to ICRF2, and comparetheir optical and radio positions at the sub-mas level. Their formal standarderrors are better than 0.76~milliarcsec (mas) for 50% of the sources and betterthan 3.35~mas for 90%. Optical magnitudes are obtained in Gaia's unfilteredphotometric G band. The comparison with the radio positions of the definingsources shows no systematic differences larger than a few tenths of a mas. Thefraction of questionable solutions, not readily accounted for by thestatistics, is less than 6%. Normalised differences have extended tailsrequiring case-by-case investigations for around 100 sources, but we have notseen any difference indisputably linked to an optical-radio offset in thesources.

Gaia Data Release 1: The reference frame and the optical properties of ICRF sources