There aren't really clear generations in Linux distros, but as an approximation:
Debian is pretty old, but it's a 2nd gen distro, borne from dissatisfaction with the very early SLS.
So was Slackware, but it took SLS and improved it. Slackware is arguably the oldest surviving distro.
SuSE has roots as a German version of Slackware. Red Hat's package manager was bolted on later.
Gentoo and Arch are relatively modern, being 21st century projects. Arguably, they're 3rd gen.
Fedora is a 4th gen distro, younger than any of the others here. Its ancestor was Red Hat Linux, which was contemporaneous with Debian -- but was left behind by Debian's technical encancements: in 1996 or so, Debian introduced `apt`, a package manager with automatic recursive dependency resolution. This put it far in the lead of Red Hat, which still only had RPM and no dependency resolution.
Red Hat went in another direction. Red Hat Linux 7 became RHEL, a commercial, paid-for, supported distro.
The free RHL went on for 2 more versions, reaching Red Hat Linux 9, which then became Fedora Core, version 1 of the free unsupported community distro.
RHL was killed off after v9.