The Dalek casings from which Quasimodo Dalek was constructed initially belonged to bronze drones of the New Dalek Paradigm that took part in the Dalek Project, but they were killed when the Doctor sent Survey Ship Sigma crashing to the ground in 1917. The archaeologists discovered the wreckage of Survey Ship Sigma in 2017 and used it in an attempt to reconstruct the casing of one of the Daleks to study it, creating Quasimodo Dalek.
Some time after it was constructed, the Dalek came to life and murdered Pierre, the excavation leader, and attempted to return power to the Dalek saucer while killing the archaeologists. It was destroyed by Damien Lightner and the Doctor in a digger but not before it connected the saucer up to a power line, allowing the surviving Daleks inside to revive. (COMIC: The Dalek Project)
Since the archaeologists did not know what a Dalek was, the casing design of Quasimodo Dalek, while still retaining the same basic shape, differed significantly from that of other Daleks: the Dalek eyestalk was replaced with a Dalek gun; the dome's luminosity dischargers were replaced by sense globes; the grating section was ordered with the neck grille atop three horizontal neck rings; the weapons platform's manipulator arm and gunstick were replaced by eyestalks and the globes on the base unit of the casing and slats around the middle were swapped around. (COMIC: The Dalek Project)