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The messages leaked to Sky News show the party is divided between those who support the police being operationally independent, and those who think - like Ms Braverman - there should be greater input from politicians.
Writing in The Times newspaper, the Home Secretary suggested "some of Saturday's march group organisers have links to terrorist groups, including Hamas".
Suella Braverman has accused the police of double standards in the way they handle protests - after Rishi Sunak conceded that a pro-Palestinian march on Armistice Day will go ahead.
Suella Braverman has been accused of being "out of control", as she continued her war of words with the Metropolitan Police after the commissioner resisted government pressure to ban this week's pro-Palestinian march.
British home secretary faces anger within her Conservative Party after calling demonstrations ‘hate marches’.