From Baird's Manual of American College Fraternities 20th Edition (1991) page VIII-22

SIGMA IOTA was established in 1904 at Louisiana State University as a secret society for Spanish-American Students, under the name Sociedad Hispano-Americana. In 1911 it was changed to a Greek-letter fraternity. Its membership was composed of Spanish-American youths studying in all the universities of America and Europe. It was organized to promote friendship and give help to the Spanish-American students attending foreign universities. The Chapter roll was:

Alpha Alpha, Louisiana State University

Nu Epsilon, Tulane University

Upsilon Lambda, Loyola University New Orleans

Alpha Omega, University of Florida

Chapters we later located as follows:

Nu Alpha, Alabama Polytechnic Institute

Nu Beta, Syracuse University

Nu Gamma, Rensselaer Polytechnic Institute

Nu Delta, Atlanta Medical School

Nu Zeta, University of Pennsylvania

There were also chapters in Belgium, Switzerland, and Guatemala City. Conventions were held in Baton Rouge in 1928 and in New Orleans 1929.
In 1931 Sigma Iota joined Phi Lamba Alpha Fraternity, which later changed its name to Phi Iota Alpha.

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Baird's Manual of American College Fraternities
9th Edition (1920) page 346