The archipelago nation of some 17,000 islands has long struggled with radical militancy, including the 2002 Bali bombings that killed 202 people - mostly foreign tourists - in the country's worst-ever terror attack.
Just one day after suicide bombers hit three churches in the city of Surabaya, a police station has been bombed.
"The father of the family involved in those attacks was the head of a JAD cell in the city", Karnavian said. All told, 12 civilians and 13 terrorist suspects were dead from two days of violence, with at least 46 people injured, including police officers. The third was detonated outside the Surabaya Central Pentecost Church.
A video posted on social media showed the girl staggering near the scene of the attack before she was picked up by a bystander and carried to safety. "There were five people on two motorbikes". Based on their remains, Karnavian said the mother and daughters were all wearing explosives around their waists.
"If he had not stopped the bombers, there would have been more victims (inside the church)", he said.
"We can say that the broadcast [message] about the list of shopping malls in Jakarta and Surabaya [being targets of bombings] is incorrect", he said on Monday as quoted by kompas.com.
'US may impose sanctions on European firms working with Iran'
He said: "Any nation that helps Iran in its quest for nuclear weapons could also be strongly sanctioned by the United States". By pulling out of the deal, the United States also undermined the diplomatic efforts to worldwide issues, he added.
The deadly spate of suicide bombings in the Indonesian city of Surabaya has revealed an even more ugly face to the Islamic State's strategy of jihad. "We believe she was thrown three metres (10 ft) or so up into the air by the impact of the explosion and then fell to the ground", Mangera said, adding she has been rushed to hospital. "One of them was a little kid", national police chief Tito Karnavian said.
He confirmed TV reports that three people, including a child, were inside the fifth-floor flat at the time of the blast.
President Joko "Jokowi" Widodo visited the sites and described the attacks as "cowardly actions" that were "very barbaric and beyond the limit of humanity".
Jakarta police placed the capital and surrounding areas on high alert, while the transportation ministry warned airports to be on guard.
Indonesian police have foiled numerous terror plots, but the coordinated nature of Sunday's church bombings and the subsequent blasts point to more sophisticated planning than in the past, analysts said.