  A fully anisotropic simple-cubic Ising lattice in the geometry of periodic
cylinders $n\times n\times\infty$ is investigated by the transfer-matrix
finite-size scaling method. In addition to the previously obtained critical
amplitudes of the inverse correlation lengths and singular part of the free
energy [M. A. Yurishchev, Phys. Rev. B 50, 13 533 (1994)], the amplitudes of
the usual (``linear'') and nonlinear susceptibilities and the amplitude of the
second derivative of the spin-spin inverse correlation length with respect to
the external field are calculated. The behavior of critical amplitude
combinations (which, in accordance with the Privman-Fisher equations, do not
contain in their composition the nonuniversal metric coefficients and geometry
prefactor) are studied as a function of the interaction anisotropy parameters.
