This article explains how to start a group chat using Alexa and your Amazon Echo device, including the Amazon Echo Show.
How to Use Alexa Group Calling to Make Group Video Calls on an Amazon Echo Device
While you can join group conversations on your Echo or Echo Show by asking Alexa to start one, you'll need to set everything up through the Alexa app first. Group conversations also need to be enabled through the Alexa app before you can start or join group conversations (you'll be prompted to do this the first time you create a group).
Here's how to get started with group chats on your Amazon device:
Open the Alexa app on your phone.