Fundamental-Higgs breaking of SU(3) to SU(2) ($SU(3)\to SU(2)$)

For a complex fundamental scalar with vacuum expectation value proportional to $(0,0,v)$, the stabilizer is the $SU(2)$ acting on the first two components. Five broken generators produce five massive vector bosons, while three gauge bosons remain massless and one radial scalar remains physical.