  G(2) is the smallest exceptional group and it is the simplest and viable
gauge group to minimally extend the strong interaction sector: G(2) includes
the group SU(3) of Quantum Chromodynamics (QCD) as a maximal subgroup and it is
equipped with six additional gluons that can acquire mass via a Higgs mechanism
driven by a new Higgs particle and constitute dark matter. In this article I
want to describe how the exceptional G(2) group can be a physical gauge group,
capable of extending the Standard Model (SM) of particles and including a
versatile dark sector, which is compatible with experimental observations. In
fact, due to its peculiar mathematical features, the group G(2) manifests some
complex features, not properly considered in literature, which guarantee its
correct use in physics, as its {3}+anti{3} decompositions w.r.t. SU(3) can
acquire a complex structure. The resulting framework can be a solid Beyond
Standard Model (BSM) solution for the dark matter (DM) problem, in the form of
massive complex scalar glueballs, and it includes the proper color
representations for quarks and leptons. Several quantum field theory features
are discussed, like the G(2) coupling constant running and its spectrum before
and after the phase transition, along with all the DM astrophysical
realizations, in order to present the unexpected potential of this gauge group.
