I was wondering if somebody could tell me how the game and the game engine fit into game development. Specifically what I mean is, the game engine does not actually have a game. So where I'm unclear about is basically, do game developpers build an engine, then create a new class that inherits from engine which becomes the game?

Ex:

class ShooterGame : public Engine
{
};

So basically i'm unclear on where the game code fits into the engine.

Thanks