A nontrivial group with no proper nontrivial characteristic subgroup. A minimal nontrivial normal subgroup of a finite group has this property: every characteristic subgroup of it is normal in the ambient group.

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  1. Characteristic subgroup
  2. Group automorphism
  3. Automorphism
  4. Morphism
  5. Algebra
  6. Area of mathematics
  7. Mathematics
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