Aliens have always had super strength compared to a human. In Aliens you can see them bashing bulkheads in, or forcing open the armored carrier's door. The runner in Alien 3 is able to crush a man's head with its hands, and could propel itself out of what looked like tonnes of molten lead several meters up.
The design of the one we have seen so far in Alien Earth looks like one of the xenomorph warriors in Aliens (in Aliens we mostly see warriors, and just a couple of drones near the queen at the end).
The show is running with the idea that the aliens have a sort of collective hivemind / telepathic link of sorts, it looks like the eggs (or the facehuggers inside them at least, but we also know from the lore that the eggs themselves are living organisms) are communicating and alerting the xenomorph to the presence of intruders, probably because they were in the process of being moved to strategic locations to ambush more hosts and create more xenomorpphs.Then there is another loud telepathic call at the end of the episode when one of the facehuggers is getting vivisected.
As I recall, the telepathic link was created by a queen in the comics/books, so there might be a queen somewhere... didn't we see two bodies with bursted chests in the cryopods in the Weyland-Yutani ship? If so, there's still another xenomorph at large, and it could be a queen we haven't seen yet.
I hope the show reintroduces one of the elements only visible in the "assembly cut" of Alien 3, the royal facehugger. It looks like a larger, more badass facehugger with darker skin, like the poison headcrabs in Half-Life 2 (man fuck those things), webbing, and a sharp stinger on its tail, and is capable of impregnating two hosts, one with a queen embryo and one with a guardian for the queen (the runner in Alien 3, implanted into an ox or a dog depending on the version you watched).
Here's a picture from the creatures workshop of Alien 3, but you can also see actual footage of it in the assembly cut :