They did, but some offshoot survived and came back for a little while in-between empires and republics. The 19th century is quite a complicated period in french political history, with a lot of experimenting with different political régimes. In the span of one century, there were 2 empires, 2 monarchies and 3 republics. And a couple revolutions too, because France.

I found this timeline that ends just before the beginning of the 3rd republic :