A non-Abelian group all of whose subgroups are self-conjugate.
Hamiltonian Group
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References
Carmichael, R. D. "Hamiltonian Groups." §31 in Introduction to the Theory of Groups of Finite Order. New York: Dover, pp. 113-116, 1956.Referenced on Wolfram|Alpha
Hamiltonian GroupCite this as:
Weisstein, Eric W. "Hamiltonian Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HamiltonianGroup.html