  The Kawai model describing the glueball-quarkonia mixing is modified. The
mixing of $\eta$, $\eta^\prime$ and $\eta(1410)$ is re-investigated based on
the modified Kawai model. The glueball-quarkonia content of the three states is
determined from a fit to the data of the electromagnetic decays involving
$\eta$, $\eta^\prime$. Some predictions about the electromagnetic decays
involving $\eta(1410)$ are presented.
