to answer your question psychometry is viewing the past, also known as object reading. for some people they have to have an object, and while holding or touching it they start receiving various impressions or even visions relating to it. for others, they can simply stand in a location and start getting a similar effect.
empathy is sensing of emotions, while telepathy is sensing of thoughts - usually characterized with language, but not strictly needed. so generally it should be lumped in the same discipline as telepathy.
biofeedback is usually considered the healing aspect of the body, as well as the more esoteric control and alter.
some systems even have shapeshifting via psi using a combination of projective empathy, projective telepathy, astral projection, and teleportation.
generally speaking, they can be paired by some opposite characteristic.
empathy and telepathy
telekinesis and biofeedback
clairsensing and astral projection
precognition and psychometry
teleportation and (summoning)
however, others group them by function.
precognition, psychometry, clairsensing, astral projection
telekinesis, biofeedback, teleportation, (summoning)
empathy and telepathy.
incidentally, teleportation can be viewed as a kind of 'pushing', while (summoning) is teleportation that 'pulls' things to you instead of 'pushing' you somewhere. sometimes, astral projection is grouped with teleportation instead.
there are other possible groupings depending on just how the psi is supposed to function.