Dooku despises Maul for being a threat to him, and for killing his beloved padawan Qui-Gon, and Maul hated Dooku for being his replacement. They also didn't regard each other as a true Sith: Dooku saw Maul as nothing more than a trained animal and Maul saw Dooku as a Sith pretender.
The Jedi Believed Dooku Could Have Been The Sith Lord All Along. Following the presumed death of Darth Maul, the Jedi knew that he wasn't acting alone. “Always two there are,” Yoda said. They did not know whether Maul was the apprentice or the master, however.
Overall, Dooku was far more equipped to become a Sith Master than Maul was. Had he managed to overthrow Palpatine, Dooku would have been able to use his position, combat abilities, and dark side Force powers to take his place on the throne Palpatine had carved.
He fell under the influence of Supreme Chancellor Palpatine of Naboo, and left the Jedi Order. After learning that Palpatine was secretly the Sith Lord Darth Sidious, Dooku turned to the dark side and became a Dark Lord of the Sith himself, replacing Darth Maul as Sidious's second apprentice.
Why Full Potential Darth Maul is WAY More Powerful Than You Realize - Star Wars Explained
Did Maul ever meet Dooku?
The two were able to free Maul after he had been interrogated by the Sith Lord Count Dooku, and together the three rendezvoused with more Death Watch forces on the moon of Zanbar. Maul took command of his forces once again, and assured them that the war they had longed for was at hand.
Sidious revealed to Maul that he did not intend to kill his former apprentice, as he still had use for Maul; it was Sidious' hope that Maul would lead the Sith to Mother Talzin, Maul's mother and the leader of the Nightsisters, so she could be eliminated as a potential threat to the eventual Sith rule of the galaxy.
Dooku despises Maul for being a threat to him, and for killing his beloved padawan Qui-Gon, and Maul hated Dooku for being his replacement. They also didn't regard each other as a true Sith: Dooku saw Maul as nothing more than a trained animal and Maul saw Dooku as a Sith pretender.
It's already been shown in the source material… more than once… that Darth Maul is not on Darth Sidious's level. Every time he dueled Sidious as his apprentice (in Legends) he got easily defeated.
7 Why Rey Couldn't Win: Dooku's Skills Far Outshine Rey's
Rey was able to triumph over a lot of foes through sheer pluckiness and a good mixture of luck and sheer Force power. That won't help her against Dooku.
In Tales of the Jedi, Count Dooku's history is explored a little more thoroughly. According to episode 4, “The Sith Lord,” Dooku was still involved with the Jedi Order during the events of The Phantom Menace, only officially defecting to the Sith shortly after Qui-Gon and Darth Maul's deaths.
How powerful would Maul be with his full potential? Compared to people like The Son or Anakin Skywalker at his full potential? About as strong, or stronger than Sidious, Yoda or Talzin. Therefore, extremely more powerful than he already is, but nothing like a Skywalker or a Godlike being.
In the Star Wars prequel trilogy, the Jedi Order learned that Count Dooku was a Sith Lord in the film "Star Wars: Episode II - Attack of the Clones." The revelation occurred during the course of the movie's events, which were set approximately ten years after the events of "Star Wars: Episode I - The Phantom Menace."
Count Dooku's real name, Dooku, was more fitting than his Sith title, Darth Tyranus, as it speaks to his manipulative nature. Dooku played a crucial role in weakening the Jedi and the Republic from within, planting doubt and eroding trust.
The duel. Darth Vader defeats Darth Maul. The two Sith Lords engaged in a lightsaber duel, going through the volcano and onto a bridge situated over a river of lava, which collapsed, though they both survived and continued their battle.
By the time of Episode 3; Anakin is in his prime, and already one of the Jedi Order's most powerful “masters” (although technically still a knight), just behind Obi-Wan, Windu, and Yoda. Maul wouldn't stand a chance.
Like his master, Darth Sidious, better known as Sheev Palpatine, Maul's main weakness was his overconfidence. In Luke Skywalker's confrontation with Palpatine during The Return of the Jedi, he tells the Emperor that his overconfidence is his weakness.
Regardless, based on the season 7 of The Clone Wars, and the fact that Darth Maul was aware of Anakin Skywalker's future and his role as the Chosen One, it is very likely that Darth Maul indeed feared Darth Vader to some extent, and preferred to avoid a direct confrontation with him, at least, on his own.
Count Dooku didn't like the Jedi Order, but he particularly disliked Master Windu. Disney+'s Star Wars: Tales of the Jedi explains why. The following contains spoilers from Star Wars: Tales of the Jedi Season 1, streaming now on Disney+.
Although Qui-Gon never felt close with him, Dooku was quite fond of his former pupil, and Jinn's death on Naboo devastated him. The 2012 Legends novel Darth Plagueis showed Dooku's gradual fall to the dark side in detail, and his feelings on the death of Qui-Gon contributed to this fall from grace.
He regretted it because he had essentially wasted 20 years training him. But since he was an enemy at the time of his death on Tatooine, Sid was glad that he did not have to keep watching his back anymore now that the loose ends were tied off.
Sidious realizes the infant is strong in the Force, and would become a threat if found by the Jedi. Concealing the existence of his own master, Sidious raises Maul to believe that he is a Sith apprentice, but he actually intends him to be an expendable minion rather than an heir.
