Sometimes a puzzle isn’t hard as much as it’s annoying. This is certainly the case for Control‘s punchcard puzzle that appears in the middle of Old Boys’ Club. The solution itself is fairly obvious, it’s knowing how and where to put them all that is annoying, thankfully, we’re here to help.
To solve the puzzle you need to look at the various whiteboards, see which icons are not crossed off and then put that card on the corresponding machine. Machines one, two and three are to the left from top to bottom, with five being to your right. The fourth one is stuck in the room to the far right.
The actual order is the biohazard looking one for the first spot, the middle filled in for the second, third has the left part of the middle filled in and a line to your right, four has the top part filled in and five has the top right filled in.
Once you have them in the right order the game will alert you that the machine is now usable.