from this photo, there are many ways to get this shot right,
first, can make better arrangement of the group, why make a shortest lady, stand next to a tall guy? if this guy is tall, just make him sit.
notice the down light casting highlight on the lady on the right? best is rearrange the group to stay away from the down light, if can't rearrange the group, use flash to overpower the ambient.
and do you notice this shot is taken with the widest focal length setting? include so much messy things on the table, if possible, I will shoot at 35mm focal length setting (on FX).
the ceiling is so low, why don't utilize it with a ceiling bounce? you will get more even and soft lighting and still preserve ambient nicely.
why don't use higher ISO? it will save on the flash power too? if the shot is exposed correctly, with noise reduction, can print a S8R print from ISO 1600 without any issue, anyway how many people print photos nowadays?
if the ceiling is very high, photographer not able to do a ceiling bounce, have to use direct flash, how not to overexpose the table and still give decent exposure on the people?
nowadays we have 36MP digital camera with super fast auto focus, can shooting ISO 26500 with 8 FPS, pair with pro grade lenses, high power flash with super fast recycle rate, some more have the 5th generation lightroom or 14th generation of Photoshop to do our post processing. how come still can get results like this?
so you see, there are noting much about what setting to use, noting much about what mode to use, super high tech gears won't able to help you much.
high tech gears can not replace your knowledge on photography.