database
GroupNames: D₆, order 12
Tim Dokchitser
Use in this reference: Linked for verification. No redistribution licence is asserted; this dataset contains original summaries and selected mathematical facts, not source tables.
Relevant material: Order, Centre, Aliases, generators and relations, Character table
Dependent assertions
| Record | Assertion | Source locator |
|---|---|---|
| D₁₂ | Definition | Heading; Aliases; Generators and relations |
| D₁₂ | Order | Heading: order |
| D₁₂ | Center | Centre |
| D₁₂ | Abelian | Commutator; character table |
| D₁₂ | Simple | Chief series; Centre |
| D₁₂ | Ordinary complex irreducibles | Character table: identity column and real/complex/symplectic annotations |
| D₁₂ | GAP SmallGroups ID | Aliases; GAP/Magma code by ID |
| D₁₂ | Representation scope | Character table |
| D₁₂ | Representation scope | Character table: identity column and real/complex/symplectic annotations |
| D₁₂ | Structure and conventions | Heading; Centre; group-property labels; Aliases |
| D₁₂ | Family | Heading; Aliases |
| D₁₂ | D₁₂ / C₂ ≅ S₃ | Centre: G/Z |