  The contributions of $G'$-boson predicted by the chiral color symmetry of
quarks to the differential dijet cross-sections in $pp$-collisions at the LHC
are calculated and analysed in dependence on two free parameters of the model,
the $G'$ mass $m_{G'}$ and mixing angle $\theta_G$. The exclusion and
consistency $m_{G'}-\theta_G$ regions imposed by the ATLAS and CMS data on
dijet cross-sections are found. Using the CT10 (MSTW~2008) PDF set we show that
the $G'$-boson for $\theta_G=45^{\circ}$, i.e. the axigluon, with the masses
$m_{G'} < 2.3 \,\, (2.6) \,\, \mbox{TeV}$ and $m_{G'} < 3.35 \,\, (3.25) \,\,
\mbox{TeV}$ is excluded at the probability level of $95\%$ by the ATLAS and CMS
dijet data respectively. For the other values of $\theta_G$ the exclusion
limits are more stringent. The $m_{G'}-\theta_G$ regions consistent with these
data at $CL=68\%$ and $CL=90\%$ are also found.
