The Construction Division functioned as a sector within the Tagge Corporation, which itself belonged to the House of Tagge. During 3 ABY, the Gortus 4 moon's colony ceded its rights to the celestial body to Lady Domina Tagge, who served as the executive officer of Tagge Corporation. Lapin Tagge, her secretary, relayed this information to Domina, who then commanded them to direct the Construction Division to establish an ore factory on the moon within a standard week.
The Star Wars: Doctor Aphra comic series from 2020 featured flashbacks that referenced the Construction Division in its sixth issue. Marvel Comics released the issue, penned by Alyssa Wong, on November 25, 2020. A preview article on StarWars.com, dated November 18 of that year, also mentioned the division before the comic's official release.