How do I create a SQL table under a different schema?

Question

1. Right-click on the tables node and choose New Table...
2. With the table designer open, open the properties window (view -> Properties Window).
3. You can change the schema that the table will be made in by choosing a schema in the properties window.

Try running CREATE TABLE [schemaname].[tableName]; GO;

This assumes the schemaname exists in your database. Please use CREATE SCHEMA [schemaname] if you need to create a schema as well.

EDIT: updated to note SQL Server 11.03 requiring this be the only statement in the batch.

                           create a database schema in SQL Server 2008
1. Navigate to Security > Schemas
2. Right click on Schemas and select New Schema
3. Complete the details in the General tab for the new schema. Like, the schema name is "MySchema" and the schema owner is "Admin".
4. Add users to the schema as required and set their permissions:
5. Add any extended properties (via the Extended Properties tab)
6. Click OK.
                           Add a Table to the New Schema "MySchema"
1. In Object Explorer, right click on the table name and select "Design":
2. Changing database schema for a table in SQL Server Management Studio
3. From Design view, press F4 to display the Properties window.
4. From the Properties window, change the schema to the desired schema:
5. Close Design View by right clicking the tab and selecting "Close":
6. Closing Design View
7. Click "OK" when prompted to save
8. Your table has now been transferred to the "MySchema" schema.

Refresh the Object Browser view To confirm the changes
Done

Hit F4 and you'll get what you are looking for.

Shaun F's answer will not work if Schema doesn't exist in the DB. If anyone is looking for way to create schema then just execute following script to create schema.

create schema [schema_name]
CREATE TABLE [schema_name].[table_name](
 ...
) ON [PRIMARY]

While adding new table, go to table design mode and press F4 to open property Window and select the schema from dropdown. Default is dbo.

You can also change the schema of the current Table using Property window.

Refer: