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The funeral for Ms Clark (31) and her children Laianah (4), Aaliyah (6) and Trey (3) took place after her estranged New Zealand-born husband Rowan Baxter doused his family in petrol and set them alight on February 19.
Prime Minister Scott Morrison, Queensland Premier Annastacia Palaszczuk, Police Commissioner Katarina Carroll, senior police officers, firefighters and paramedics were among those who gathered in the rain to pay their respects.
The service was streamed into an adjoining cafe to accommodate a large crowd.
The domestic violence incident that killed Ms Clarke and her family shocked Australia and New Zealand, and sparked more calls for greater efforts to bring an end to such violence.
Ms Clarke was on fire as she leapt from the driver's seat screaming "he's poured petrol on me" as people rushed to try to put out the flames.
She died in hospital hours later with burns to 97% of her body.
Her children, safely strapped into their child restraints, never stood a chance.
Baxter died on the footpath from self-inflicted wounds.
Hannah's family asked that the details and location of the family's funeral service not be released.