These are lines in an ircd configuration file describing who can connect to an IRC Server and whether a password is needed, as well as what class that client will belong to:

Format:
I:IP Mask:password:host mask::class

In cyclone at least, there's also (in no particular order) a K:Line, Q:Line, C:Line, N:Line, X:Line, A:Line, M:Line, Y:Line, O:Line, U:Line, L:Line, H:Line and a P:Line. There's also a G:Line