Divine law vs. human law
This is the engine of the whole play. Antigone believes the gods' unwritten rules about burying the dead override any king's decree. Creon believes the state's authority must be total. The play refuses to declare a winner cleanly, but it makes Creon pay the higher price.
Pride and its consequences
Creon gets every warning a character can get: his son, a prophet, the Chorus. He ignores all of them because changing course feels like weakness. His pride is not vanity; it is a refusal to be seen as wrong, and it costs him his entire family.
Loyalty to family vs. loyalty to the state
Antigone's loyalty to her dead brother pulls directly against Creon's demand for civic obedience. The play asks which obligation runs deeper, and it does not give an easy answer. Both loyalties are presented as real and serious.
Gender and power
Creon is offended by Antigone partly because she is a woman defying a man's law in public. He says so explicitly. The play uses this to show how political authority gets tangled up with gender control, and how that combination makes Creon's judgment worse.
Fate and free will
Every character in the play makes choices, but the outcomes feel inevitable. Antigone chooses to act; Creon chooses to punish; Tiresias predicts exactly what will happen. The play holds both ideas at once: the characters are responsible for their decisions, and the disaster was always coming.