  The $e^+e^-\to\eta\gamma$ cross section is measured in the center-of-mass
energy range from 1.07 to 2.00 GeV in the decay channel $\eta\to 3\pi^0$,
$\pi^0\to\gamma\gamma$. The data set with an integrated luminosity of 242
pb$^{-1}$ accumulated in the experiment with the SND detector at the VEPP-2000
$e^+e^-$ collider is analyzed.
