  We proposed the construction of the differential calculus on the quantum
group and its subgroup with the property of the natural reduction: the
differential calculus on the quantum group $GL_q(2,C)$ has to contain the
differential calculus on the quantum subgroup $SL_q(2,C)$ and quantum plane
$C_q(2|0)$ (''quantum matrjoshka''). We found, that there are two differential
calculi, associated to the left differential Maurer--Cartan 1-forms and to the
right differential 1-forms. Matched reduction take the degeneracy between the
left and right differentials. The classical limit ($q\to 1$) of the ''left''
differential calculus and of the ''right'' differential calculus is undeformed
differential calculus. The condition ${\cal D}_qG=1$ gives the differential
calculus on $SL_q(2,C)$, which contains the differential calculus on the
quantum plane $C_q(2|0)$.
