  A five dimensional $SU(6)$ grand gauge-Higgs unification compactified on
$S^1/Z_2$ is discussed. We propose new sets of the $SU(6)$ representations
where the quarks and leptons in one generation are embedded and there is no
extra massless exotic fermions absent in the Standard Model. The correct
electroweak symmetry breaking pattern can be realized by introducing some
adjoint fermions. We also analyze whether a viable Higgs mass can be obtained.
