As Yukawa explained, Strong interactions are responsible for holding the nucleus together through a reaction that manifests itself as an exchange of mesons between neutrons and protons. Weak interactions are experienced by both quarks and leptons. The vector bosons interact among themselves. The weak interaction is currently believed to be a manifestation of the electroweak interaction. Weak interactions are responsible for beta decay, and it is only by weak interactions that neutrinos can be located.
Electromagnetic interactions are interactions between particles mediated by photons.
Photons do not interact among themselves as they are chargeless. Among other things, this interaction is responsible for various resonance decays. The electromagnetic interaction is a manifestation of the electroweak interaction. The Gravitational interaction is a long-range force. Gravity is not an important effect at accelerator energies.