Generally I am in the same area as the other members here. A 44g/170 liter tank is not much space especially with barbs which tend to be active swimmers. What are the dimensions...these affect active fish much more than volume. For example, the Sahyadria denisonii (Denison Barbs) need at minimum a 4-foot (120 cm) length tank, but should be in a 5 or 6-foot for better health. It needs a group of eight, to avoid aggressive tendencies, and at 6 inches (15 cm) this is not a small fish that can "make do" with less.
The Pethia nigrofasciata (Black Ruby Barb) is indeed a lovely fish, but I would not mix it in with Tigers, as others have also mentioned. I had a group (12 I think) of this species in a 3-foot 33g tank aquascaped to replicate their native habitats which are the Kelani and Nilwala river basins on Sri Lanka. Photo of this biotope below (not great photography, but it gives the idea). These were quite active fish, but not one iota of aggression beyond normal hierarchy (no physical issues). Dried leaves on the sand substrate are natural in their habitats, but I was intrigued by the fact that these fish ate every single leaf and I was constantly replacing them, almost weekly. I had several fry hatch out and survive over the years I had this species, and if I remember correctly, all the fish in this photo are fry from the initial group of 7 fish..