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Finite groups whose all proper subgroups are 𝒞 -groups

Pengfei GuoJianjun Liu — 2018

Czechoslovak Mathematical Journal

A group G is said to be a 𝒞 -group if for every divisor d of the order of G , there exists a subgroup H of G of order d such that H is normal or abnormal in G . We give a complete classification of those groups which are not 𝒞 -groups but all of whose proper subgroups are 𝒞 -groups.

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