who made what
Kevin, thanks for your answer. You are correct, this model (see pic) might very well be from someone else.
The Fakir brand has been doing fine here up until the late 70s, selling low to medium class uprights and vessel shaped canisters for a semi-commercial market. They now have gone into the "Nilco" brand. (Nilfisk and Co.) yet entertaining their own models.
See
http://www.fakir.de/index.php (probably a part of the Electrolux conglomerate mega corp as well now).
Their "compronic" uprights were sold (or resold) as Eureka or Regina in the US.
Privileg: This might be hard to tell. Privileg is some house-brand of Quelle department stores and catalogue sales. (Quelle having gone bankrupt lately). So compare "Quelle privileg" machines to "Sears Kenmore" (just a rebadged house brand).
What comes on top of this is: Despite their "clean" (read: "Western" product politics) they tended to sell everything they could get hold of: AKA Eastern (GDR) handmixers were sold as "Privileg" very much as (otherwise unsellable) Hotpoint UK upright vacuums (Hotpoint Swallow). Likewise the Brother (Far East) Pacesetter or Galaxy sewing machines were sold as "Privileg Topstar" or "Privileg Superstitch"
Privileg was just their selling lable to sell anything, tablecloths, baby dummies and what have you.
Try to ebay-search "Fakir" or "Privileg" to get hold of more accurate information, you might see some way more interesting facts browsing some people's old stuff.