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Explanation
In this comic, a woman is shocked that her companion has an ovipositor (an egg-laying organ found in insects). The companion explains the biological reasoning: there are 35 recognized animal phyla, and exactly one phylum contains creatures with six true limbs. Almost all of those creatures belong to a single class -- insects. The punchline, delivered in the caption as a "Terrible Discovery," is: "Centaurs are a type of insect."
The humor works through a pseudo-rigorous biological argument applied to a mythological creature. Centaurs are traditionally imagined as half-human, half-horse -- noble and majestic. But if you count their limbs (four horse legs plus two human arms = six limbs), they technically fit the defining characteristic of insects under the phylum Arthropoda (the only phylum with six-limbed creatures in the class Insecta). The comic takes this absurd taxonomic logic to its conclusion, complete with the horrifying biological implication that centaurs would possess insect reproductive anatomy like an ovipositor. The joke relies on the comedic clash between the mythic grandeur of centaurs and the revolting reality of being classified as bugs.