This assumes you have already configured the aws command line tool. If not, check out my article on Getting Started with the AWS CLI.

The aws logs create-log-group command can be used to create a Log Group. 

aws logs create-log-group --log-group my-log-group

Then the aws logs describe-log-groups command can be used to show that the Log Group has been created.

~]$ aws logs describe-log-groups --query 'logGroups[?logGroupName==`my-log-group`]'
[
    {
        "logGroupName": "my-log-group",
        "creationTime": 1696902696435,
        "metricFilterCount": 0,
        "arn": "arn:aws:logs:us-east-1:123456789012:log-group:my-log-group:*",
        "storedBytes": 0
    }
]