It seems unbelievable that this information isn’t contained within the rule book, but this information is only found in White Dwarf 391 (which is now out of print) and the in the Psychic powers cards. Below is a table showing which physic powers can be used by each army.
Blood Angels – Biomancy, Divination, Telepathy and Telekinesis
Chaos Deamons – None
Chaos Space Marines – Pyromancy, Telekinesis, or Telepathy
Dark Angels – Divination, Pyromancy, Telepathy, or Telekinesis
Dark Eldar – None
Eldar – Divination or Telepathy
Grey Knights – Divination, Pyromancy, or Telekinesis.
Imperial Guard – Biomancy, Pyromancy, Telepathy, and Telekinesis
Necrons – None
Orks – None
Space Marines – Biomancy, Pyromancy, Telepathy, or Telekinesis
Space Wolves – Biomancy, Divination or Telekinesis
Tyranids – Biomancy, Telekinesis or Telepathy
Source White Dwarf 391