Obviously this won't help you find the particles but this seriously isn't far off capturing how shocking symmetry groups are as a tool for building theories in particle physics. The fact that you can reduce so much physics down to some invariance is very spooky.
the mass of the up quark
the mass of the down quark
the mass of the charmed quark
the mass of the strange quark
the mass of the top quark
the mass of the bottom quark
4 numbers for the Kobayashi-Maskawa matrix
the mass of the electron
the mass of the electron neutrino
the mass of the muon
the mass of the mu neutrino
the mass of the tau
the mass of the tau neutrino
4 numbers for the Pontecorvo-Maki-Nakagawa-Sakata matrix
the mass of the Higgs boson
the expectation value of the Higgs field
the U(1) coupling constant
the SU(2) coupling constant
the strong coupling constant
the cosmological constant
> About 25 numbers
Excellent science here!