7 Products and quotients

7.1 The direct product

See Direct product of groups, a special case of a Direct product. A Direct product is a special case of a Product (category theory).

See also Normal subgroup.

7.2 Semidirect product

See also Semidirect product.

7.3 Normal subgroups and quotients

See also Quotient group.

7.4 Normalizers

See also Centralizer and normalizer.

7.5 Conjugacy

See also Conjugacy class. Once you’ve reached this section, it may be helpful to start referring to normal subgroups as Self-conjugate subgroups (a bit more descriptive).