  A superconducting state, that induces in ${\rm GeH_{4}}$ under the pressure
at 20 GPa, is being characterized by a high critical temperature
$T_{C}\in<54.54,31.23>$ K, for a wide range of the Coulomb pseudopotential
$\mu^{\star}\in<0.1,0.3>$. Other thermodynamic parameters for the considered
range of the Coulomb pseudopotential significantly differ from the predictions
of a classical BCS theory. In particular: (i) the ratio of the energy gap to
the critical temperature ($R_{\Delta}\equiv 2\Delta(0)/k_{B}T_{C}$) changes
from 4.07 to 3.88; (ii) the value of the parameter $R_{C}\equiv\Delta
C(T_{C})/C^{N}(T_{C})$ decreases from 1.85 to 1.69, where $\Delta C$ denotes
the specific heat's jump, and $C^{N}$ is the specific heat of the normal state;
(iii) the ratio $R_{H}\equiv T_{C}C^{N}(T_{C})/H^{2}_{C}(0)$, where $H_{C}(0)$
represents the low - temperature thermodynamic critical field, increases from
0.147 to 0.155.
