For this achievement, you must locate and shoot four alien hives (one for each Onslaught DLC multiplayer map) in public Multiplayer. You will know you have achieved one when a challenge counter appears on your screen.
The locations for the hives are as follows:
Ignition - In the underground section, you will see the hive on the wall. Underground is accessible by going through the broken plane shell and down the ramp. Alternatively there is a bunker type entrance near the 'Federation' spawn directly underneath the giant digital countdown clock. Run down the steps and to the right and the hive is on the wall.
BayView - Just outside the map underneath the pier. Go to the bottom right corner of the of the map and look straight across. (On the minimap you should be standing by the three diagonal lines, just off to the right of the tram tracks) You'll just see the hive hanging from the bottom of the pier.
Containment: Just outside the map. Go to the most northern point of the map, at the very top. Just off to the right on top of the white building that has barred windows. Climb on top of the green dumpster for a better shot.
Fog: In the cave at the centre of the map. You'll see a waterfall (a dark blue circle on the minimap) Look slightly down and to the left of the water and you'll see the hive through some foliage.
When you have shot all four go to Extinction mode and load Nightfall. Play until you've destroyed an alien hive. Upon doing this you'll get your achievement and 10,000 XP for your Extinction character.
Thanks to 'Th3 Replicant' and 'PuRe Pretzel' for confirming that you can actually earn this on multiple consoles. If you've already earned this on the 360 you can also earn it on the One by destroying a hive in Extinction. The eggs in the multiplayer maps won't register, however destroying a hive in Extinction will. This can also be done the other way around.
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