Christchurch's tight-knit Fijian-Indian community is looking to rally around the parents of a 1-year-old baby girl who died after suffering serious head injuries.

A homicide investigation has been launched after the infant died at Christchurch Hospital, with her parents at her bedside, shortly before 8.30pm on Wednesday.

Yesterday, the Christchurch Fiji Association was shocked to learn that the family involved was of Fijian-Indian heritage. Spokesman Vinesh Prakash said they were phoning around to check if anyone knew them and to see if they could provide the parents with support.

"Usually we know one another, but we haven't heard who these people are yet," Mr Prakash said.

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Police launched an investigation after the girl was admitted to Christchurch Hospital on Tuesday night by her regular babysitter with assistance from her neighbour.

Detective Senior Sergeant Scott Anderson said they were treating the death as a homicide and a post mortem examination was expected to be carried out.

A scene examination at the property - and at another address in the city that police have not disclosed - was expected to be completed yesterday.