  We present an analysis of the SU(3) symmetric model of the strongly
interacting three component Fermi gas in the continuum space using quantum
Monte Carlo techniques. Three body effects predominate in the regime of
interaction strength beyond that of threshold of the three particle bound
state. However, we find that there is an interval of the interaction strength
where the SU(2)$\otimes$U(1) broken symmetry superfluidity is possible. For a
strong enough interaction, the SU(3) symmetry is restored and the superfluidity
is suppressed. Within the interval of the broken symmetry, we also find that on
average the particle pairs belonging to the species with superfluid pairing
remain further separated than those without the superfluid pairing correlation.
