Geodesic
On the embedding problem with non-Abelian kernel of order~$p^4$.~V
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 3, Tome 211 (1994), pp. 127-132

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A survey of solvability conditions for the embedding problem of number fields, in which the kernel is a non-Abelian group of order $p^4$, is completed. As a kernel, the two $2$-groups with two generators $a,b$ and with the following relations are considered: $a^8=1$, $b^2=1$, $[a,b]=a^{-2}$ in the first group, and $a^8=1$, $b^2=a^4$, $[a,b]=a^2$ in the second. Bibliography: 7 titles. 
@article{ZNSL_1994_211_a8,
     author = {V. V. Ishkhanov and B. B. Lur'e},
     title = {On the embedding problem with {non-Abelian} kernel of order~$p^4${.~V}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {127--132},
     publisher = {mathdoc},
     volume = {211},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a8/}
}
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V. V. Ishkhanov; B. B. Lur'e. On the embedding problem with non-Abelian kernel of order~$p^4$.~V. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 3, Tome 211 (1994), pp. 127-132. http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a8/