Quotient group

Group obtained by aggregating similar elements of a larger group This article needs more citations. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: "Quotient group" – news · newspapers · books · scholar · JSTOR (June 2025) (Learn how and when to remove this message) Algebraic structure → Group theoryGroup theory Basic notions Subgroup Normal subgroup Group action Quotient group (Semi-)direct product Direct sum Free product Wreath product Group homomorphisms kernel image simple finite infinite continuous multiplicative additive cyclic abelian dihedral nilpotent solvable Glossary of group theory List of group theory topics Finite groups Cyclic group Zn Symmetric group Sn Alternating group An Dihedral group Dn Quaternion group Q Cauchy's theorem Lagrange's theorem Sylow theorems Hall's theorem p-group Elementary abelian group Frobenius group Schur multiplier Classification of finite simple groups cyclic alternating Lie type sporadic Discrete groupsLattices Integers ( Z {\displaystyle \mathbb {Z} } ) Free group Modular groups PSL(2, Z {\displaystyle \mathbb {Z} } )SL(2, Z {\displaystyle \ma