Isoclinic groups have same commuting fraction

For finite groups
Suppose $$G_1, G_2$$ are finite groups that are isoclinic to each other. Then, the commuting fraction of $$G_1$$ equals the commuting fraction of $$G_2$$.

For arbitrary groups
Suppose $$G_1, G_2$$ are isoclinic groups such that $$G_1$$ is a FZ-group. Then, $$G_2$$ is also a FZ-group and the commuting fractions of $$G_1$$ and $$G_2$$ are equal.

Related facts

 * Isologic groups have same fixed-class tuple fraction