Threema OnPrem: Maximum Security Thanks to Self-Hosting
threema.ch
threema.ch
I see: it's not for free.
Threema and Matrix are quite different. Matrix is a centralized / federated system where data is stored on the server. Threema uses a decentralized protocol, where data and metadata (including groups) are stored on the devices only. This has advantages and disadvantages, depending on your requirements.