The appearance of constellations would be significantly altered when viewed from a different solar system. Here on Earth, constellations are patterns formed by various stars that seem to be adjacent to each other from our perspective. However, stars are at vastly different distances from Earth, spread across the Milky Way.
If you observed the night sky from a different solar system, the stars would be seen from an entirely new angle. Even relatively nearby stars would shift position against more distant stars. This would result in substantial changes to the familiar patterns of constellations. Some constellations could become unrecognizable or disappear entirely, while new patterns might form.
Furthermore, certain bright stars that define key points in constellations may be closer or farther away depending on your relative position in the galaxy, enhancing or diminishing their brightness. This too would alter the visual makeup of the night sky. Thus, while the constellations known on Earth might be unique to our viewpoint, different vantage points in the galaxy would offer distinct stellar canvases, heavily dependent on your specific location.