Are progressives socialists, leftists or liberals.? Why or Why not?

The context for this is essentially, I see progressives kinda map themselves all over the political spectrum (on the left side obviously) and I'm really curious what the prevailing opinion is here.

I realize there is a degree of hair splitting here, but to betray my opinion, I've always sort of considered progressives some form of leftist. Although I do not think all progressives are socialists to be clear.

I'm mostly interested in hearing a perspective from more centrist oriented liberals but I'd love to hear the progressive flank take on this as well.

If your answer is no, why do you think so many socialists/leftists support progressives? Do you think there is overlap?

Does it make sense for socialists/leftists and progressives to consider themselves "the left"

Edit: quick changes for clarity.

Edit: Thank you all for the responses. I was kinda able to confirm a few things from this and invalidate a few others so I appreciate it. The responses have grown to a degree where I can't really engage anymore so thanks for participating and I'm sorry if I didn't respond! Alot of people had interesting viewpoints and I didn't think this would generate so much debate.