Lewis Swift discovered NGC 7726 = Sw. IV-98 on 8 Aug 1886 and reported "eeeF; pS; R; e diff.; pB * nr foll; 6218 [NGC 7728] nr north following but is not little but very elongated." There is nothing at his position (14' east-southeast of NGC 7720), but the number probably applies to one of the galaxies within the galaxy cluster Abell 2634.

Harold Corwin suggests NGC 7726 = UGC 12721, though notes some inconsistencies. Swift's position is 19 seconds of RA east and 8' south of this galaxy. Swift mentions a "pB* nr foll". A mag 9 star is due east, but it follows by 9'. Also a mag 10 star is only 2.6' southwest of UGC 12721 and it seems likely this star would have been noted instead. On the other hand,[NGC 7728 is 11' east-northeast in agreement with the description, though it certainly doesn't appear "very elongated". Corwin was unable to find another more likely candidate, so this identification is very uncertain.

The RNGC and RC3 misidentifies IC 5342 as NGC 7726. This galaxy is just 2.5' southeast of NGC 7720. I called NGC 7726 nonexistent in RNGC Corrections #4, but my comments were revised in RNGC Corrections #6.

400/500mm - 17.5" (8/10/91): very faint, small, elongated 3:2 WSW-ENE, weak concentration. A mag 11 star is 2.6' SW. Located 10.7' NE of NGC 7720 in AGC 2634. NGC 7728 lies 11' E and CGCG 476-095 is 11' NW.

Notes by Steve Gottlieb