database
GroupNames: C₂ × C₂
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 |
|---|---|---|
| V₄ | Definition | Heading; Aliases; Generators and relations |
| V₄ | Order | Heading: order |
| V₄ | Center | Abelian label; upper central series |
| V₄ | Abelian | Abelian label |
| V₄ | Simple | Chief series; Centre |
| V₄ | Ordinary complex irreducibles | Character table: identity column and real/complex/symplectic annotations |
| V₄ | GAP SmallGroups ID | Aliases; GAP/Magma code by ID |
| V₄ | Representation scope | Character table |
| V₄ | Representation scope | Character table: identity column and real/complex/symplectic annotations |
| V₄ | Structure and conventions | Heading; Centre; group-property labels; Aliases |
| V₄ | Normal Klein subgroup of A₄ | Subgroup lattice and maximal subgroup list |