  Based on $(2712.4\pm14.1)\times10^{6}$ $\psi(3686)$ events collected with the
BESIII detector, we study the decays $h_{c}\to3(\pi^{+}\pi^{-})\pi^{0}$,
$h_{c}\to2(\pi^{+}\pi^{-})\omega$, $h_{c}\to2(\pi^{+}\pi^{-})\pi^{0}\eta$,
$h_{c}\to2(\pi^{+}\pi^{-})\eta$, and $h_{c}\to p\bar{p}$ via
$\psi(3686)\to\pi^{0}h_{c}$. The decay channel
$h_{c}\to3(\pi^{+}\pi^{-})\pi^{0}$ is observed for the first time, and its
branching fraction is determined to be $\left( {9.28\pm 1.14 \pm 0.77} \right)
\times {10^{ - 3}}$, where the first uncertainty is statistical and the second
is systematic. In addition, first evidence is found for the modes $h_{c} \to
2(\pi^{+}\pi^{-})\pi^{0}\eta$ and $h_{c}\to2(\pi^{+}\pi^{-})\omega$ with
significances of 4.8$\sigma$ and 4.7$\sigma$, and their branching fractions are
determined to be $(7.55\pm1.51\pm0.77)\times10^{-3}$ and $\left( {4.00 \pm 0.86
\pm 0.35}\right) \times {10^{ - 3}}$, respectively. No significant signals of
$h_c\to 2(\pi^+\pi^-)\eta$ and $h_{c}\to p\bar{p}$ are observed, and the upper
limits of the branching fractions of these decays are determined to be
$<6.19\times10^{-4}$ and $<4.40\times10^{-5}$ at the 90% confidence level,
respectively.
