I've got a few, actually. More so my old gangs, amusingly enough, as my newer tend to be played for shorter campaigns and accrue a little less notoriety.
The Black Oaks:
Formed around the Black Oak settlement, the gang is quite a typically-organized, tight-knit brotherhood. The Orlock gangers run a protection racket around the shantytown of the Black Oak, laid out in an old fancy park. The centerpiece of this park is a large, burnt-looking tree of uncertain type which, despite being mostly bare, blackened and stinking of chems and ash, still miraculously grows blotchy, pale leaves, blooms and produces fully edible fruit sporadically. Nobody knows how or why (botanists being rare in the Underhive), and the fruit is far from enough to sustain barely even a single household, it is still seen as almost sacred by the inhabitants.
The Chem Divers:
Originally a deep-cover op by House Van Saar, the most healthy-looking and normal-seeming members of several settlements were gathered, given mining and chemical protection gear and sent out to secure a particularly valuable and nauseous source of solvents and etching chems. Their gear being bright white-and-red was to make them easy to see in the fumes and dark, and their weapons were deliberately styled to resemble standard Imperial equipment rather than bespoke Van Saar artistry. Ultimately, they adopted the moniker of Alonzo Petrochem Expeditionary Force, to throw the other houses off their trail. They did, however, ultimately break free of this enterprise either through neglect from central command, rebellion or just time, and now operates like any other gang.
Red-Rock Crushers:
Their name comes from their origin, a ferrite ore crushing facility. They were a hodge-podge of vat-born. nat-born and unborn fighters who had the unusual trait of being... spooky. They managed and dealt in dark secrets and lore beside the usual rackets of a Goliath gang, like protectionism, foundry-work and such, and supplemented it with smuggling money. Basically, muscling into both Orlock and Escher territory, simply because their leader was unusually clever and mentally flexible for a Goliath, and didn't see why they shouldn't go for maximum profit.