When you create a group you can add the name of your organization. The name will be displayed just below the group name as a label. In the below case you see ACME added as the name of the organization.
You can also add or modify the organizational name later from the group settings.
Note: If you change the name of the organization, group name or group icon, this will apply to every team member in the group. We recommend that the group owner is the person who make such changes.
If you are a premium member, you can lock this down and control who is able to modify the group settings.