Here is the full list of all 24 Space Hulk: Deathwing trophies - there are 3 bronze, 14 silver, 6 gold and 1 platinum.
Find all the major relics in the main campaign.
Complete the Psy branch
Learn Vortex Of Doom
Perform 1,111 assists in multiplayer mode or the special missions.
Finish a chapter in the main campaign without using a Psygate.
Kill a Broodlord
Kill a Hybrid Psyker
Learn Inferno
Kill 666 enemies
Lock a door aboard the Olethros.
Kill a scythe-strain Genestealer
Kill a stalker-strain Genestealer
Kill a warrior-strain Genestealer
Destroy a door aboard the Olethros
Use the Psygate in the main campaign.
Unlock all trophies for Space Hulk: Deathwing
Complete the Devotion branch
Complete the Command branch
Unlock all of the Librarian's capacities in multiplayer
Unlock all of the Heavy Weapon Support's abilities in multiplayer
Unlock all of the Apothecary's abilities in multiplayer
Unlock all Tactical Terminator abilities in multiplayer
Kill 10,000 enemies
Unlock all Assault Terminator's abilities in multiplayer