The subject is she/he who subjects himself, submits himself. The object is that which resists, which says no. Which objects.
The subject is the "I"... but as Zizek notes, the "I is not completely "I", because it needs to spilt off a part of itself, to become the word "I". In Lacanian, the subject is rendered the $... the split subject.
Zizek: "Subjects are literally holes, gaps, in the positive order of being: they dwell only in the interstices of being, in those places where the job of creation is not done to the end: the very existence of a subject is a proof that God was an idiot who bungled the job of Creation..."
Words like "this" and "that" were likely the first to be spoken by Man.
Baudrillard: There is no bar between subject and object in Symbolic Exchange. The subject does not attempt to master the object.