Template:Groups

Group theory
Group theory
Basic notions Subgroup Normal subgroup Quotient group Group homomorphism (Semi-)direct product
Finite groups Classification of finite simple groups Cyclic group Zn Symmetric group Sn Dihedral group Dn Alternating group An Mathieu groups M11, M12, M22, M23, M24 Conway groups Co1, Co2, Co3 Janko groups J1, J2, J3, J4 Fischer groups F22, F23, F24 Baby Monster group B Monster group M
Discrete groups and lattices Integers Z Lattice Modular groups PSL(2,Z), SL(2,Z)
Topological and Lie groups Solenoid Circle General linear GL(n) Special linear SL(n) Orthogonal O(n) Special orthogonal SO(n) Unitary U(n) Special unitary SU(n) Symplectic Sp(n) G2 · F4 · E6 · E7 · E8 Lorentz Poincaré Conformal Diffeomorphism Loop Infinite dimensional Lie group O(∞), SU(∞), Sp(∞)