This question was answered in 2015, however, the instructions there to not work now.
https://community.atlassian.com/t5/Jira-questions/How-do-we-edit-the-request-type-groups-in-Service-Desk/qaq-p/202636#U1140483
As a side note, I attempted add this comment/question to that thread but was unable to submit the reply.
HI, I have version Jira Service Desk (4.2.1)
and I can rename groups
I am on cloud and I am able to change the name (as you show in your screenshot); however, I am unable to change the description that shows in the portal.
See my screenshot to see what I want to change.
That section under the name pulls in the names of all the requests in that group. This gives the reporter a heads up of what requests they'll find if they click on Employee Logins and Accounts.
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