Example image of eyePlorer eyePlorer map for 'Subgroup': Binary operation Group (mathematics) Group theory Subset Semigroup If and only if Homomorphism Identity element Inverse element Intersection (set theory) Union (set theory) Generating set of a group Group isomorphism Complete lattice Lattice of subgroups Infimum Partially ordered set Supremum Abelian group Modular arithmetic Cayley table Cyclic group Coset Bijection Equivalence relation Index of a subgroup Lagrange's theorem (group theory) Order (group theory) Divisor Normal subgroup Abnormal subgroup Almost perfect group Arithmetic group Ascendant subgroup Automorphic factor Boundedly generated group C closed subgroup C normal subgroup CA group Carter subgroup Central series Central subgroup Centrally closed subgroup CEP subgroup Characteristic subgroup Commutator subgroup Complemented group Completely regular semigroup Congruence subgroup Conjugate closure