  The process $e^+e^- \to \pi^+\pi^-\pi^0\eta$ is studied in the center-of-mass
energy region below 2 GeV with the SND detector at the VEPP-2000 $e^+e^-$
collider. The four intermediate states contribute to this process:
$\omega\eta$, $\phi\eta$, $a_0(980)\rho$, and a structureless
$\pi^+\pi^-\pi^0\eta$ state. We measure the total $e^+e^- \to
\pi^+\pi^-\pi^0\eta$ cross section and the cross sections for its components:
$\omega\eta$, $\phi\eta$, and a sum of $a_0(980)\rho$ and the structureless
state. Our results are in agreement with previous measurements and have
comparable or better accuracies.
