The soldiers will be involved in operations at the U.S. prison in Cuba for terror suspects.
The group from Ball State when on what's called a "person to person tour," one of several categories of travel Americans are permitted to take.
During his visit, Obama has stressed his commitment to improve relations between the two nations.
A delegation of more than a dozen experts will travel to the country next week to meet with farmers and trade officials and explore trade opportunities.
Indiana is struggling with a heroin epidemic, but the state is also leading the nation in pharmacy robberies.
An IU School of Public and Environmental Affairs professor plans to take a group of 15 undergraduates to Havana in March.
Indiana‘s pension funds have begun unloading nearly $16 million in investments in two companies which do business in Sudan.