Gogogirl

Gogogirl is in the googol family, formed from gogogol, g(g(2, 50, 50), 2, g(2, 50, 50), g(2, 50, 50)) by replacing the rightmost -o- with -ir- for thirteen, giving g(g(2, 50, 50), 2, g(2, 50, 50), g(2, 650, 650), gogirl-to-the-gogogolth with a gogolfold nesting of the base.