NGC 584 belongs to the NGC 584 galaxy group, which also includes the galaxies NGC 596, NGC 600, NGC 615 and NGC 636.
According to A.M. Garcia, NGC 584 belongs to LGG 27 or NGC 584 Group, which has 8 member galaxies, namely, NGC 586, NGC 596, NGC 600, NGC 615, NGC 636, MCG 1-4-44 and MCG 1-5-14.
123Skrutskie, Michael F.; Cutri, Roc M.; Stiening, Rae; Weinberg, Martin D.; Schneider, Stephen E.; Carpenter, John M.; Beichman, Charles A.; Capps, Richard W.; Chester, Thomas; Elias, Jonathan H.; Huchra, John P.; Liebert, James W.; Lonsdale, Carol J.; Monet, David G.; Price, Stephan; Seitzer, Patrick; Jarrett, Thomas H.; Kirkpatrick, J. Davy; Gizis, John E.; Howard, Elizabeth V.; Evans, Tracey E.; Fowler, John W.; Fullmer, Linda; Hurt, Robert L.; Light, Robert M.; Kopan, Eugene L.; Marsh, Kenneth A.; McCallon, Howard L.; Tam, Robert; Van Dyk, Schuyler D.; Wheelock, Sherry L. (1 February 2006). "The Two Micron All Sky Survey (2MASS)". The Astronomical Journal. 131 (2): 1163–1183. Bibcode:2006AJ....131.1163S. doi:10.1086/498708. ISSN0004-6256. S2CID18913331.
↑Garcia, A. M. (1993). "General study of group membership. II. Determination of nearby groups". Astronomy & Astrophysics Supplement Series. 100: 47–90. Bibcode:1993A&AS..100...47G.