A Muslim representative group is to be investigated following allegations its leader was being unaccountable, while another leader has been accused of running a "dictatorship".

The ACT Government has said it would consider cancelling the registration of the Islamic Council of the ACT after an ABC investigation found the group may have failed to hold annual meetings for up to four years.

Both it and its NSW counterpart, Muslims NSW, have been accused of not holding annual meetings for as long as eight years and the claims are supported by paperwork lodged with regulators in those states.

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