Found a link on the old site to a fantastic interview with Tom Atencio and Hooky where they touch upon this.
http://www.neworderonline.com/Common/Topic.aspx?Topic=Article003
As I understand it...
Fractured was Joy Division's and BeMusic was New Order's publishing companies, which eventually became subsidiaries of larger publishing companies (Zomba, Warners). They're the ones who collect royalties from labels and radio stations and they're the ones who sue and get sued if, for example, some washed up American folk singer thinks they stole his hook.
Gainwest, created in 1987/88-ish was New Order's management company which consisted of the 4 members plus Rob, and encompassed the band's business activities, including their involvement in The Hacienda (hence the banner). Vitalturn was created in 1992 as the same thing but without Rob.
Centredate was a company created by London which assumed the rights to Joy Division and New Order's (and The Other Two's) recorded output upon Factory's demise and functioned as their "label" until sometime in 1994 when all the contracts with London were settled.