Here's a more exact breakdown of the 118 particle number from the article:

72 quarks: 6 flavors x 3 colors x 2 (particle/antiparticle) x 2 (spin up/down)

12 charged leptons: 3 flavors x 2 (particle/antiparticle) x 2 (spin up/down)

6 neutrinos: 3 flavors x 2 (particle/antiparticle)

2 photons: 1 photon field x 2 polarizations

16 gluons: 8 types x 2 polarizations

9 electroweak bosons: 3 types (Z0, W+, W-) x 3 polarizations

1 Higgs boson

That totals 118. Here's a summary of how those come from the 37 fields I listed:

4 x 18 quarks

4 x 3 charged leptons

2 x 3 neutrinos

2 x 1 photons

3 x 3 electroweak bosons

2 x 8 gluons

1 x Higgs boson