Direct or incipient cell division is

Direct nuclear division takes place in unicellular organisms such as bacteria, protozoa, yeast, etc., as a method of reproduction. Budding, binary fission and fragmentation. Thus, division of nucleus is indirect in Mitosis and meiosis.
Amitosis is called as the direct cell division because it takes place by simple cleavage of the nucleus and division of the cytoplasm without spindle formation.
Dinomitosis is a type of cellular division that solely occurs in the class Dinophyceae, a class of Alga with Chlorophyll.
Cryptomitosis is a type of nuclear division in certain protozoa characterized by formation of a modified achromatic spindle and by absence of differentiated chromosomes.