Vhagar is the largest dragon in the Targaryens' brood, and the show has made sure to show off how intimidating she is in the few aerial scenes she's had so far.Vhagar is the oldest dragon of the ones owned by House Targaryen in House of the Dragon, and was previously ridden by Visenya Targaryen during King Aegon I Targaryen's reign years before the series picks up.While Visenya Targaryen rode Vhagar in the past, Princess Laena Velaryon (Nanna Blondell) owns her in the House of the Dragon timeline. We even see her flying alongside her husband, Prince Daemon Targaryen (Matt Smith) as they head back to Pentos.Unfortunately, Laena goes through a traumatic birth in episode six that puts both her and her child at risk, and she forces Vhagar to end her suffering by incinerating her with that all-important phrase: Dracarys.Caraxes might not be the biggest dragon in the gang, but he's longer than most of the others thanks to his snakelike neck. He's also got bright red scales, which gives him a very distinct look. He was originally owned by Aemon Targaryen, the son of King Jaehaerys I Targaryen, before the prince's death at the hands of Myrish pirates.Caraxes is owned by the infamous Prince Daemon Targaryen, who constantly rebels against his brother in the series. He even takes Dragonstone (and a dragon egg) for himself alongside his consort, Mysaria (Sonoya Mizuno), and uses Caraxes to intimidate Ser Otto Hightower (Rhys Ifans) and his forces when they try to oust Daemon from the castle in episode two. Although that doesn't go very well when another dragon shows up...Thankfully, Otto and the soldiers get some dragon backup of their own with Syrax, a yellow dragon of a similar size to Caraxes. She's a much younger dragon compared to the likes of Vhagar and Caraxes, but she's no less vicious. It's one of the reasons that Daemon backs down when he's confronted on the bridge to Dragonstone. Although that might also be to do with who was riding Syrax.Yes, Princess Rhaenyra Targaryen (Milly Alcock) commands Syrax — and the series shows the formidable teenager riding the yellow dragon in the first two episodes. Her willingness to face off against her uncle Daemon is probably one of the reasons he starts to be attracted to her in the first place.The older Rhaenyra (Emma D'Arcy) later gives one of Syrax's eggs to Aemond Targaryen (Leo Ashton), the son of Alicent Hightower (Olivia Cooke).Vermax is much younger than most of the other dragons in the series and doesn't tower over people like Vhagar, Caraxes, and Syrax. He first shows up in episode six, as the dragonkeepers lead him out to Rhaenyra and Alicent's children. Vermax also has a distinct look, with green scales and a red spine, but he's not taken to the skies just yet.Vermax belongs to Jacaerys Targaryen (Leo Hart), and he's still learning to control the young dragon, as he takes lessons from the dragonkeepers about how to use the dracarys command. They're clearly paying off because Vermax responds by roasting a goat on command. Poor goat.Seasmoke is another of the Targaryens' dragons, but he's given to the Velaryon family because Princess Rhaenys Targaryen (Eve Best) married Corlys Velaryon (Steve Toussaint), aka the Sea Snake. Seasmoke is a silver and gray dragon, who proves to be a pivotal weapon in the War for the Stepstones.Seasmoke belongs to Rhaenys and Corlys' son, Laenor (Theo Nate), and he's the one who saves Daemon in the War for the Stepstones when he goes up against the Crabfeeder and his forces.Laenor eventually marries Rhaenyra, and they're still together after the time jump — where John Macmillan takes over the role. Although their children are actually fathered by Ser Harwin Strong (Ryan Corr).Meleys is a very large red dragon and she's only been seen once in House of the Dragon so far as she heads to King's Landing next to Seasmoke and Laenor Velaryon. But as tensions rise between the Targaryens and Velaryons, it's likely Meleys will make a few more appearances by the time the series is over.Meleys is ridden by Laenor's mother Rhaenys, who is King Viserys I Targaryen's cousin. She and Corlys are quick to suggest that the king marries Laena when she's 12 years old. Thankfully, he declined and married Alicent instead.It's worth remembering that Rhaenys is also the one who warns Rhaenyra that she is in a dangerous position as successor to the Iron Throne because most men don't want a woman ruling Westeros.Finally, there's also Dreamfyre. Don't worry if this isn't instantly ringing any bells, because she's only mentioned briefly back in the Small Council meeting during episode two. Dreamfyre gets name-dropped because Daemon steals one of her eggs that was intended for Rhaenyra's baby brother, Baelon Targaryen, who died briefly after Queen Aemma gave birth to him in episode one.Viserys and Alicent's daughter, Princess Helaena (Evie Allen), hasn't become a major part of House of the Dragon yet. But she will eventually be the one to ride Dreamfyre, as per 2018's Fire and Blood by Game of Thrones author George R.R. Martin. No spoilers, but Helaena becomes a vital part of the civil war, dubbed the Dance of Dragons that tears apart House Targaryen.House of the Dragon airs Sundays at 9 p.m. E.T. on HBO.