Unfortunately, there's no "super quick" group invite like you're describing. We would love to get a more built-in "groups" concept at some point, but for now your best bet is to use the invite dialog (⌘I, or Room > Invite People). Fortunately, you should be able to autocomplete the names of anyone you want to invite, so typing should be pretty quick.
It looks like there might be a related suggestion (for built-in groups) under https://jira.atlassian.com/browse/HCPUB-313. Feel free to file one more specific to your use case or vote/watch/comment on that one to get updates about any plans we have to implement the feature.
Earlier this year we made the difficult decision to discontinue our team messaging tools, Stride and Hipchat. The end of life date for Stride and Hipchat Cloud is quickly approaching - February 15, 2...
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