Isoclinic groups have same non-abelian composition factors

Statement
Suppose $$G_1$$ and $$G_2$$ are both finite groups that are fact about::isoclinic groups. Then, the list of non-abelian fact about::composition factors of $$G_1$$ (with multiplicity) is the same as the list of non-abelian composition factors of $$G_2$$ (with multiplicities).

Similar facts

 * Isoclinic groups have same derived length
 * Isoclinic groups have same nilpotency class