When comparing GroupMe vs SecureChat, the Slant community recommends SecureChat for most people. In the question“What is the best team chat software?” SecureChat is ranked 22nd while GroupMe is ranked 49th. The most important reason people chose SecureChat is:
Supports threads to organise conversations into topics.
Specs
Ranked in these QuestionsQuestion Ranking
Pros

Pro Reads receipts
GroupMe has a built in function to read receipts.

Pro Great web client
GroupMe has an excellent web client that can be used to send and receive messages and manage groups from the desktop.

Pro IFTTT Integration
Allows sending messages from web services via IFTTT.

Pro Integrated calendar
It's possible to add location and time with reminders directly in the GroupMe app.

Pro Makes it easy to silence 1 or all groups
GroupMe has settings that allow muting a single group or turn off all GroupMe notifications from within the app.

Pro Does not require everyone in the group to have a smartphone
GroupMe can set up a custom phone number which allows people without the App to send and receive messages. This makes it easy to add anyone to messaging.
Pro Threads to organize conversations
Supports threads to organise conversations into topics.
Pro Expiring messages
Channels can be configured to have expiring messages that get automatically deleted after a pre-defined time.
Pro Guaranteed delete
Ensures messages are fully deleted and removed from backup.
Pro Servers 100% hosted in Switzerland
Protected by Swiss data privacy - some of the highest data privacy laws in the world.
Pro Encryption
Strong end-to-end encryption of messages and files.
Pro Drag and drop files
Drag and drop documents, photos, videos into the chat.
Pro Integrates with other tools
Built in integrations for Zendesk, Trello, Github, SupportBee, etc.
Cons
Con Drains battery fast
GroupMe, in order to have a constant connection which allows for notifications drains the battery of a device quickly, which is not ideal for a messaging app that one needs on time notifications from.

Con Non-free / Propritary Software
The code base isn't free/libre and cannot be self-hosted, therefore there is no proof that encryption or "guaranteed delete", actually work. There is no reason to think this application is secure.
