When comparing Snapchat vs GroupMe, the Slant community recommends GroupMe for most people. In the question“What are the best messaging apps for Android?” GroupMe is ranked 24th while Snapchat is ranked 43rd. The most important reason people chose GroupMe is:
GroupMe has a built in function to read receipts.
Specs
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Pros
Pro Allows sharing photos, videos and texts that self-destruct
All Snapchat communications disappear after they've been viewed. It creates more interesting conversation when you don't have to worry about consequences as much. Additionally you can doodle on photos.
Pro Includes news
Snapchat includes a Discover page (accessed by two swipes from the right side) where curated list of news and entertainment outlets can put up news from their sites.
Pro Does not get in the way of what it's designed to do
Snapchat is first and foremost a way to share photos so the first thing that the app presents the user with is the camera enabled and ready to take photos. Once photos or videos are taken, it's possible to caption them or draw on them.

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.
Cons
Con Security concerns
In 2013, Snapchat was hacked. As a result phone numbers and usernames of 4.6 million users were published online. That happened after concerns were raised by a security firm weeks before that Snapchat dismissed. Other security concerns were pointed out to Snapchat throughout 2014 including ways that the service could be used for DDOS attacks and how their anti-robot measures can be circumvented.
Snapchat has since implemented two-factor authentication.
Con Non-intuitive UI
The UI space is well used but you'll likely miss a few messages until you understand of the UI works; it's not like the average mobile apps.
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.
