Are there any connections between gta story mode and online modes?

Grand Theft Auto V's single-player story mode, as described in the Wikipedia source, centers on three protagonists—Michael De Santa, Franklin Clinton, and Trevor Philips—engaging in heists within the fictional state of San Andreas. The evidence focuses exclusively on the narrative and open-world exploration of the single-player experience. There is no information provided about the game's online mode, GTA Online, or its relationship to the story mode in this source. Without explicit details on shared characters, events, or mechanics between the two modes, no connections can be confirmed from the given evidence.