Geodesic
Group Extensions and Hall Polynomials
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 180-185.

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In this paper, we give two proofs of a formula containing the numbers of automorphisms of an Abelian group, of its subgroups, and of its quotient groups. The first proof is based on the use of the theory of Hall polynomials, while the second one uses extension theory for Abelian groups. 
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G. V. Voskresenskaya. Group Extensions and Hall Polynomials. Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 180-185. http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a2/

[1] Makdonald I., Simmetricheskie funktsii i mnogochleny Kholla, Mir, M., 1984 | MR

[2] Maklein S., Gomologiya, Nauka, M., 1966