How to put 2 containers into 1 container in java?

My class has 4 parts of textfields, 1 on the top, 1 on the left, 2 on the right. As I am using containers, so I think I need to put those 2 together under 1 big container so that I can set it's location in "East", but I'm not sure how...

    private void display1(Container container){
      JPanel panel = new JPanel(new GridBagLayout());
      GridBagConstraints constraint = new GridBagConstraints();
      panel.setLayout(new GridLayout(1,1));
      display1 = new JTextField("testing");
      constraint.gridx = 4;
      constraint.gridy = 0;
      panel.add(displaytrain, constraint);
      container.add(panel);
  }

    private void display2(Container container){
      JPanel panel = new JPanel(new GridBagLayout());
      GridBagConstraints constraint = new GridBagConstraints();
      panel.setLayout(new GridLayout(1,1));
      display2 = new JTextField("testing");
      constraint.gridx = 4;
      constraint.gridy = 0;
      panel.add(displaytrain, constraint);
      container.add(panel);
  }
    private void bigDisplay(Container container){
      JPanel panel = new JPanel(new GridBagLayout());
      GridBagConstraints constraint = new GridBagConstraints();
      //putting the dispay1 and display2 here...?
      container.add(panel, "East");
  }