The Nine Houses are obviously deliberately technologically limited. Aside from having FTL capable spaceships, the most advanced piece of technology that we see in the Houses is "an electric transmitter box, with headphones and a mic." It's not clear entirely what sort of device this is, but it apparently requires you to stick an antenna out the window.

On New Rho, Cam has a beeping, and therefore presumably digital watch. Nona has to remind her that's it's called a "watch", and not the House term, "clockwork", which rather suggests House timepieces are analog.

There's a projector box embedded in the BoE conference table, which loads an image like dial up internet because they are "using shortwave" - presumably shortwave radio, which can transmit pictures. As We Suffer apologises for the slowness of the image loading because of shortwave, that suggests that other methods of transmitting an image do exist, but that for whatever reason they're not using those. Perhaps they do normally have something akin to the internet, but this is down due to the conditions on New Rho, or being avoided due to House or inter-cell monitoring.

The audio of Juno Zeta's proof of life is on "a little piece of electronics, a fingernail-shaped thing with prongs", which sounds like some kind of drive.

We also see We Suffer in the impromptu command centre in the tunnels with "a headpiece and a flip-top computer", presumably being used for some kind of communicatons or planning.

And of course, there's Cam and Pal's recorder, which from the descriptions of it making squeaks and garbled noises sounds rather like it might contain a cassette tape.

A paramilitary group on a beseiged planet may not be the best evidence for the level of technology outside of the Houses, but if it is in any way indicative, non-House society doesn't seem to have non-space travel technology beyond things that would have been available in the early 00s.