  We present extended Lyman-{\alpha} (Ly{\alpha}) emission out to 800 kpc of
1034 [O III]-selected galaxies at redshifts 1.9<z<2.35 using the Hobby-Eberly
Telescope Dark Energy Experiment (HETDEX). The locations and redshifts of the
galaxies are taken from the 3D-HST survey. The median-stacked surface
brightness profile of Ly{\alpha} emission of the [O III]-selected galaxies
agrees well with that of 968 bright Ly{\alpha}-emitting galaxies (LAEs) at r>40
kpc from the galaxy centers. The surface brightness in the inner parts (r<10
kpc) around the [O III]-selected galaxies, however, is ten times fainter than
that of the LAEs. Our results are consistent with the notion that photons
dominating the outer regions of the Ly{\alpha} halos are not produced in the
central galaxies but originate outside of them.
