JTable kolonnenavne vises ikke

Jeg skal konstruere en JTabel og bruger constructeren new JTable(data, columnNames), men jeg kan ikke få kolonnenavnene vist. Er der nogen der kan forklare hvorfor de ikke bliver vist, og hvordan jeg får dem vist? Min kode ser ud som følger:

public class RemedyAnalysisView extends JFrame {

    private JMenuItem open;
    private JMenuItem exit;
    JLabel messageLabel;
    JTable table;
    JPanel content;

    /**
    * Makes the frame of the program.
    * @param model
    *            RemedyAnalysisModel
    */
    public RemedyAnalysisView(RemedyAnalysisModel model) {
        JMenuBar menuBar = new JMenuBar();
        JMenu file = new JMenu("File");
        open = new JMenuItem("Open File...");
        exit = new JMenuItem("Exit");
        file.add(open);
        file.add(exit);
        JLabel dateLabel = new JLabel("Date from: (DD-MM-YYYY)");
        JTextField dateTextField = new JTextField(10);
        JButton dateRecalculateButton = new JButton("Recalculate");

        JPanel datePanel = new JPanel();
        datePanel.add(dateLabel);
        datePanel.add(dateTextField);
        datePanel.add(dateRecalculateButton);

        JPanel tablePanel = new JPanel();
       
        String[] columnNames = {"First Name", "Last Name", "Sport",
            "# of Years", "Vegetarian"};

        Object[][] data = {
            {"Mary", "Campione", "Snowboarding", new Integer(5),
                new Boolean(false)},
            {"Alison", "Huml", "Rowing", new Integer(3), new Boolean(true)},
            {"Kathy", "Walrath", "Knitting", new Integer(2), new Boolean(false)},
            {"Sharon", "Zakhour", "Speed reading", new Integer(20),
                new Boolean(true)},
            {"Philip", "Milne", "Pool", new Integer(10), new Boolean(false)}};

        final JTable table = new JTable(data, columnNames);
        table.setPreferredScrollableViewportSize(new Dimension(500, 70));
        table.setEnabled(false);
        tablePanel.add(table);
       
       
        messageLabel = new JLabel();
        messageLabel.setForeground(new Color(255, 0, 0));
        JPanel messagePanel = new JPanel();
        messagePanel.add(messageLabel);

        content = new JPanel(new BorderLayout());
        // content.add(table);
        content.add(datePanel, BorderLayout.NORTH);
        content.add(tablePanel, BorderLayout.CENTER);
        content.add(messagePanel, BorderLayout.SOUTH);

        menuBar.add(file);

        this.setJMenuBar(menuBar);
        this.add(content);
        this.setTitle("Remedy Analysis");
        this.setSize(500, 500);
        this.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);

    }