That is what used to be known and called Parachromis loisellei in the aquarium trade.
It's correct scientific name is actually Parachromis friedrichsthalii.
And the fish that has been known and called Parachromis friedrichsthalii up until recently has the correct scientific name of Parachromis multifasciatus
So to reiterate, your fish is Parachromis friedrichstahalii (but it is the same fish that has been known for a long time in the aquarium hobby as Parachromis loisellei).
Parachromis loissellei is now considered a junior synonym of Parachromis friedrichstahalii and the fish that was known and thought to be Parachromis friedrichstahalli for many years is now called Parachromis multifasciatus .
Well, it's a Parachromis species, fairly certain of that. There is some confusion in that Genus at the moment, so the species could be loisellei if you still consider that valid, or the "real" friedrichsthali if you accept recent revisions. (The "we thought it was" friedrichsthali are now P. multifasciatus - maybe).