President may play key role in choosing next taoiseach

When the 158 TDs in the 32nd Dáil meet next week, it will still likely be the case that there is no overall majority support in the chamber for a taoiseach. As with the overall election result, the balance of power hangs in the air and this will be reflected in a vote for the taoiseach, one of the first acts of a new parliament.
With a hung Dáil looming, there are questions over how the house will give majority support to a TD to be leader of the country. So what happens next if that support is not there?