* One person died in protest, more than 100 were injured - police
* President blames "political actors" for fanning violence
* Radical Islamic group vows more action if law is "ignored"
* Widodo risks losing political support over governorship election (Adds comments from radical Islamic group and analyst)
By Fergus Jensen and Agustinus Beo Da Costa
JAKARTA, Nov 5 (Reuters) - Indonesia's President Joko Widodo postponed a visit to Australia on Saturday after a mass protest in Jakarta that briefly turned violent as Muslim extremists pressed for the resignation of the capital's governor, a Christian they say insulted the Koran.
Widodo has faced criticism for failing to rein in hardline groups that had promised for weeks to bring tens of thousands onto the streets of the capital, and during Friday's protest his office said he was inspecting a rail project at the airport.
At a news conference after midnight on Friday, he blamed "political actors" for fanning popular anger over city Governor Basuki Tjahaja Purnama, who is standing for re-election in February, competing with two Muslims for the job.
The governorship of the capital is a powerful position and one held by Widodo before he became president two years ago.
Widodo had planned to use his Nov. 6-8 visit to Australia to cement improving ties, with a focus on economic and maritime cooperation and efforts to counter Islamist militancy.
"Looking at the latest situation and condition in Indonesia that require the presence of the president, President Joko Widodo decided to postpone his scheduled state visit to Australia," a statement from his office said.
The protest against Purnama, the first ethnic Chinese to hold the position of Jakarta governor, was largely peaceful but in the evening the crowd grew restive and police restrained them with tear gas and water cannon fire.
One person died and more than 100 were injured in the violence, many of them police officers. Three vehicles were torched and 18 were damaged, national police spokesman Boy Rafli Amar told a news conference on Saturday.
Clashes broke out in a north Jakarta area where there are large communities of non-Muslims and about 15 people were arrested there for looting a minimart, Amar said.
Some Chinese-owned shops and restaurants were shuttered in northern Jakarta on Saturday, while security officers guarded a temple and a school, according to a resident.
A spokesman for the Islamic Defenders Front, a group that led the protest, denied responsibility for the violence and said the "provocateurs" were the police who fired tear gas.
The group may organise another protest if the legal process against Purnama for his Koran comments is not allowed to run its course, said Munarman, who goes by one name. "If the law is ignored ... then we will call for similar action."
WIDODO BLAMES 'POLITICAL ACTORS'
Indonesia has the world's largest Muslim population, but most follow a moderate form of Islam and protests on such a large scale are rare.
Ethnic Chinese make up just over 1 percent of Indonesia's 250 million people, and they typically do not enter politics.
Indonesian Chinese have faced persecution and violence in the past, especially during the turmoil that gripped Jakarta when former strongman Suharto was toppled in the late 1990s.
About a dozen Muslim groups have accused Purnama of insulting Islam after he jokingly said his opponents had used a verse from the Koran to deceive voters. The verse implies that Muslims should not choose non-Muslims as leaders.
Police are investigating the case against Purnama, who has apologised for his remarks, insisting he was not criticising the Koranic verse but those who used it to attack him.
Purnama, popularly known as 'Ahok', is a no-nonsense reformer with little patience for the corruption widely blamed for the chaos and dilapidated infrastructure of an overcrowded city of 10 million.
He remains popular despite efforts by Muslim groups to vilify him and is seen as the frontrunner in the election, though many voters are angry with him for evicting thousands from slums to modernise Jakarta.
Widodo, a Muslim, has vowed not to interfere in any legal proceedings against Purnama, who is an ally of the president. But he told the news conference that any legal process involving Purnama would be executed "swiftly, firmly and transparently".
He criticised politicians - whom he didn't name - for inciting die-hard protesters after most had already gone home.
" ... we deplore the incident after the Isha prayers, when demonstrators should have already disbanded but became violent. And, we see this was steered by political actors who were exploiting the situation," he said.
A former furniture salesman who became the first president of Indonesia from outside the military or political elite, Widodo struggled in his first year to assert himself but since then he has built alliances across the political spectrum.
Analysts say that by openly supporting Purnama he could weaken his support base.
"From his perspective this visit to Australia just doesn't seem to match the urgency of this happening in Jakarta: although it's not conceivable that he might be overthrown ... it is conceivable that he could be greatly reduced in power to support the re-election of Ahok," said political analyst Wimar Witoelar.