She does this with the assistance of her younger partner and fellow receptionist Lumière, her Guard robot Donnerschlag and the space-ship La Muse.
This lack of composure often makes Lumière say "A Lady should be more elegant", also later Mrs. Padushka also states "You're so rash, how will you ever find a husband?"
Although she is hot-headed and immature, Éclair is also very sweet, caring, willing to help others, and loves children whether it be friend or stranger.
This gentle tendency has got her and Lumière pursued by GOTT because she defied her orders by helping the civilians when on an enforcement mission to support the dictator.
Later in the series, she reveals the true extent of her "Power", which are actually G-Class, which allow her to hover, and create spheres or waves of concussive forces, as well as shielding.
This is revealed when she gets so close to the Dardanos mind control center that she has flash-backs to her past lives, in all of them she worked for the GOTT, and is also the adopted mother of the head of the Galactic Union (who would not be older than her, if she was not reborn) Chevalier D'Autriche.
It is shown later that the burden of the acts she has performed in the service of various powers at times has become too much for her to bear and she has had her memories erased before the series began.
When in possession of all her memories her true G-Class powers are unlocked (as well as the self-hypnotic limitation, allowing her to use her abilities at will).
Even though she is physically younger than Éclair she is far more mature, from the way she dresses, from her politeness, to her tastes (she likes the opera and fine wine).
Her computer abilities do not manifest in the typing sense, as long as she touch an electric circuit she can bring it under control just using her mind.
Her skills are so impressive that she can break through 3,786 firewalls in less than ten minutes, or can even bring a planet's environment terraforming system under her control.
While on the run with Éclair, she was even able to defeat the D-Command (an electronic warfare program designed to incapacitate rogue ES agents) by hacking her own nanites so as to develop an immunity.
Lumière is often the person who sits at the side during missions, she spends a lot more bonding time with Armbrust than Éclair.
Lumière has also been the subject of numerous rebirths over the last 200 years, but unlike Éclair, has never had her memories erased, explaining her maturity and experience.
When she reorganizes her own particles, she takes on the form of a much taller, adult version of herself so as to allow her body to have capacity to use her power again after having lost the use of it.
Calm and collected and somewhat of a ladies' man, Armbrust is frequently the target of Éclair's distrust, in spite of his efforts and good intentions.
Her job is to ensure normal economic activity on all of the planets in the Galaxy, she operates, to an extent under the guise of the Galactic Union.
Mainly she ensures this by sending of various groups of people or ES members to either fight, arrest, seize, destroy or assist in order to achieve the goal of normal economic activity.
In actuality her true codename is Pfeilspitze (German, "arrowhead"), and has been working as a double agent inside the GOTT for her partner, Armbrust.
After her defeat and the destruction of the Deucalion, Alv (from inside the ruins of the ship) can be heard crying and calling out to her mother as Dvergr consoles her just minutes before they both sink into the Sun.
At the climax of the series, as the ES members engage Alv, now reborn as the Deucalion itself, Dvergr surrenders the information necessary for Lumière and Éclair to defeat her daughter.
After she imparts her "gift" of "Transmission" to Éclair, she uses some of La Muse's power to travel to the ruins of the Deucalion, now either orbiting or approaching into the sun.
(From Lewis Carrol's Through the Looking-Glass, and What Alice Found There) - GOTT ES Member (S Class), apparent age 16, partner and twin of Tweedledum.
(From Lewis Carrol's Through the Looking-Glass, and What Alice Found There) - GOTT ES Member (S Class), apparent age 16, partner and twin of Tweedledee.
Tweedledum has the ability to control the magnetic fields around him, combining with Tweedledee to create a powerful gravitational force.
(From Shakespeare's Twelfth Night) - GOTT ES Member (C Class), apparent age 18, partner to Viola.
(Japanese/Sanskrit, 吽王, one of the two Buddhist Deva Kings) - GOTT ES Member (S Class), apparent age 14, partner to A-ou.
(Japanese/Sanskrit, 阿王, one of the two Buddhist Deva Kings) - GOTT ES Member (S Class), apparent age 19, partner to Un-ou.
The older and more stoic member of the Duo, A-ou (unlike his partner) has a stronger sense of honor and justice.
"Amplifier" gives him the ability to improve his visual perception tenfold, as well as to see the light of people's lives and how that dims when they die.