Adding links after the 'Site Description'

I would like to add the Registration and Login/Logout links (side-by-side) in the blank area to the right side of the Site Description statement in the header, above the slider.

However, when I add the following code after the header statement, it drops the links below the Site Description, in list format, rather than beside the header statement.

Here’s the id=”header-group” code;

<div id="header-group"<?php echo $header_class; ?>>
	<h1 id="site-title"<?php echo $class; ?>>
	<a href="<?php echo esc_url( home_url() ); ?>" title="<?php echo esc_attr( get_bloginfo( 'name', 'display' ) ); ?>" rel="home"><?php bloginfo( 'name' ); ?></a>
	</h1>

	<?php if ( $bavotasan_theme_options['tagline'] ) { ?>
	<h2 id="site-description"><?php bloginfo( 'description' ); ?></h2>
	<?php } ?>
	<div id="headerlinks">	<?php wp_register(); ?> <?php wp_loginout(); ?>
	/div>
</div>

I was going to use the “id=headerlinks” to control it with CSS, but I’m not sure how to make this work.

Can you help?