
der Schub
push
A sudden, forceful pushing or pressure movement that moves something forward.
Mit einem kräftigen Schub beförderte er die schwere Kiste in den LKW.
With a strong push, he moved the heavy crate into the truck.
push / thrust
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push
A sudden, forceful pushing or pressure movement that moves something forward.
Mit einem kräftigen Schub beförderte er die schwere Kiste in den LKW.
With a strong push, he moved the heavy crate into the truck.

spurt / flare-up
A sudden, intense phase of a development or an illness. Examples include a growth spurt in children or a flare-up of a chronic condition.
Das Kind hatte über den Sommer einen enormen Wachstumsschub.
The child had an enormous growth spurt over the summer.

thrust
In physics and technology, the force that an engine (e.g., in an airplane or rocket) generates in order to produce forward movement.
Die Rakete benötigt enormen Schub, um die Erdanziehung zu überwinden.
The rocket needs enormous thrust to overcome Earth's gravity.

batch / group
A group or quantity of people or things that are treated or transported at the same time or as one unit.
Der nächste Schub Flüchtlinge wird in der neuen Unterkunft erwartet.
The next group of refugees is expected at the new accommodation.
'Der Schub' (the push/thrust) is the noun related to the verb 'schieben' (to push). It describes the act of pushing or the force that is created in the process.
Er öffnete die Tür mit einem leichten Schub.
He opened the door with a slight push.
When referring to a physical pushing movement, the phrase 'jemandem/etwas einen Schub geben' (to give someone/something a push) is often used.
Kannst du dem Auto einen Schub geben? Die Batterie ist leer.
Can you give the car a push? The battery is dead.
In its figurative meaning, 'Schub' is often combined with phases of development. Common compounds are 'Wachstumsschub' (growth spurt), 'Entwicklungsschub' (developmental spurt), or, with illnesses, 'Fieberschub' (fever episode/flare-up).
Mein Neffe ist stark gewachsen, er hatte wohl einen Wachstumsschub.
My nephew has grown a lot; he probably had a growth spurt.
In physics and technology, 'Schub' refers to the propulsive force of an engine. You will therefore often find this word in texts about rockets, airplanes, or space travel.
Die Triebwerke erzeugen nicht genug Schub für den Start.
The engines do not generate enough thrust for takeoff.
When 'Schub' describes a group of people or things, this often happens in a logistical or administrative context. It implies that the group is treated as one unit.
Ein neuer Schub an Warenlieferungen kam heute im Lager an.
A new batch of goods deliveries arrived at the warehouse today.
group
Gruppe refers neutrally to people being transported together as people who belong together. Schub presents them more strongly as a single group that is handled or transported at the same time, making it sound more bureaucratic. Gruppe fits the people as a community, while Schub fits their processing as a unit.

Der erste Schub von Reisenden wird mit dem Bus zum Hotel gebracht.
The first batch of travelers is being taken to the hotel by bus.
Eine Gruppe von Reisenden wird mit dem Bus zum Hotel gebracht.
A group of travelers is being taken to the hotel by bus.