  We collected the information of 304 gamma-ray bursts (GRBs) from the
literature, and analyzed the correlations among the host galaxy offsets (the
distance from the site of the GRB to the center of its host galaxy), $T_{\rm
90,i}$ (the duration $T_{\rm 90}$ in rest-frame), $T_{\rm R45,i}$ (the duration
$T_{\rm R45}$ in rest-frame), $E_{\rm \gamma,iso}$ (the isotropic equivalent
energy), $L_{\rm \gamma,iso}$ ($=E_{\rm \gamma,iso}/T_{\rm 90,i}$, the
isotropic equivalent luminosity) and $L_{\rm pk}$ (peak luminosity). We found
that $ T_{\rm 90,i}$, $ T_{\rm R45,i}$, $ E_{\rm \gamma,iso}$, $L_{\rm pk}$
have negative correlation with $ {\rm offset}$, which is consistent with origin
of short GRBs (SGRBs) and long GRBs (LGRBs). On separate analysis, we found
similar results for $\log E_{\rm \gamma,iso}$ - $\log {\rm (offset)}$ and $\log
L_{\rm pk}$ - $\log {\rm (offset)}$ relations in case of SGRBs only, while no
obvious relation for LGRBs. There is no correlations between offset and $L_{\rm
\gamma,iso}$. We also put the special GRB 170817A {and GRB 060218A} on the
plots. {The two GRBs both have low luminosity and small offset.} In the $ \log
({\rm offset})- \log T_{\rm 90,i}$ plot, we found GRB 170817A locates in
between the two regions of SGRBs and LGRBs and it is the outlier in the $ {\rm
offset}-E_{\rm \gamma, iso}$, $ {\rm offset}-L_{\rm \gamma, iso}$ and $ {\rm
offset}-L_{\rm pk}$ plots. Together with GRB 060218A being an outlier in all
plots, it indicates the speciality of GRBs 170817A and 060218A, and might imply
more subgroups of the GRB samples.
