After regaining health, turn around and approach the table in front of you - there's a photograph here. On the blackboard, located nearly in the middle of the room, there's another photograph as well as a number of notes. From here turn to the left and go straight ahead - approach the desk, place the Omnitool in the socket and summon Catherine. When the conversation ends, pick up the cable on your left and stick it into the computer case standing nearby.
It will turn on the mentioned computer. Approach it and activate it - you will have to complete a little puzzle here. You must run (so that they are highlighted) a list of specific modules, so that the memory of the computer is not overloaded. You must run (highlight) the following modules (you can look at the above screenshot as well):
After you've done it, press the "NEXT" button. On the following screen select the "Dummy" option, and then press the "Start Simulation". Your task is to stop the simulation (by pressing the "Pause Simulation") right when the "Dummy" word appears below the "Loaded Module". Right now it's practically impossible to do so, as the modules switch way too quick. To make the whole process a lot easier, decrease the "Resource Alloc." to 5% - thanks to that, you will be able to pick up the moment in which the right module is loaded and stop the simulation.
When you're finished with searching the area, it's time to get the chip. There are two solutions to the problem of getting inside the Omega Management - you can either smash the window with a chair, or simply open the doors from the computer in the Security Checkpoint. The first method does not require you to get inside a room located on the other side of the map, but will make a lot of noise which will attract the enemy. So it's generally a better idea to follow the second route.
Get inside the Security Checkpoint room (point 3 on the map), pick up all the items in the area (check the list above for details) and activate the computer. Get into the Override Door Lock option, from which you will be able to unlock access to Omega Management. There's a catch though - you must first lock one of the other rooms in order to free the required power. Select one of the previously visited ones (such as Storage), lock it by clicking on the name, and then click on the Omega Management to open the door.
The lights will turn off and the area will now be pitch-black, so watch out not to run into the enemy - if it manages to corner you, throw an item somewhere to lure it away. Get to the elevator now (point 1 on the map), place the Connector Chip into the panel and secure it by flipping two small levers. Afterwards close the box and press the button on it, and quickly get inside the elevator. Press the "Maintenance" button to start it up.