The gene which controls many characters is called
Pleiotropic gene
A gene having multiple phenotypic effects is called a pleiotropic gene.
The alleles which, when present together in a heterozygous individual, express their traits independently instead of showing a dominant-recessive relationship are called co-dominant alleles.
Two or more pairs of non-allelic genes, which produce a cumulative effect on the same phenotypic quantitative character, are called multiple genes or cumulative genes or polygenes.