Q_{4n} is an NCI-group for all n≥2, never an NNN-group, and an NNND-group precisely when n is even and ≥6.
P´ alfy, Isomorphism problem for relational structures with a cyclic automorphism, European J
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Generalized quaternion NCI-groups, NNN-groups and NNND-groups
Q_{4n} is an NCI-group for all n≥2, never an NNN-group, and an NNND-group precisely when n is even and ≥6.