  Quotient space is a class of the most important topological spaces in the
research of topology. In this paper, we show that if G is a strongly
topological gyrogroup with a symmetric neighborhood base U at 0 and H is an
admissible subgyrogroup generated from U , then G/H is first-countable if and
only if it is metrizable. Moreover, if H is neutral and G/H is Frechet-Urysohn
with an {\omega}{\omega}-base, then G/H is first-countable. Therefore, we
obtain that if H is neutral, then G/H is metrizable if and only if G/H is
Frechet-Urysohn with an {\omega}{\omega}-base. Finally, it is shown that if H
is neutral, {\pi}\c{hi}(G/H) = \c{hi}(G/H) and {\pi}{\omega}(G/H) =
{\omega}(G/H).
