The Itza maintained their capital at Tayasal ( also known as Noh Petén ) , an archaeological site thought to underlay the modern city of Flores , Guatemala on Lake Petén Itzá .
The Itza had their capital at Tayasal ( also known as Noh Petén ) , and people who study the Maya civlisation think what 's left of this city is below the modern city of Flores , Guatemala on Lake Petén Itzá .