database
GroupNames: Q₁₆
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 |
|---|---|---|
| Q₁₆ | Definition | Heading; Aliases; Generators and relations |
| Q₁₆ | Order | Heading: order |
| Q₁₆ | Center | Centre |
| Q₁₆ | Abelian | Commutator; character table |
| Q₁₆ | Simple | Chief series; Centre |
| Q₁₆ | Ordinary complex irreducibles | Character table: identity column and real/complex/symplectic annotations |
| Q₁₆ | GAP SmallGroups ID | Aliases; GAP/Magma code by ID |
| Q₁₆ | Representation scope | Character table |
| Q₁₆ | Representation scope | Character table: identity column and real/complex/symplectic annotations |
| Q₁₆ | Family | Heading; Aliases |
| Q₁₆ | Q₁₆ / C₂ ≅ D₈ | Centre: quotient D₄ in the order-eight convention |