database
GroupNames: C₅
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 |
|---|---|---|
| C5 | Definition | Heading; Aliases; Generators and relations |
| C5 | Order | Heading: order |
| C5 | Center | Abelian label; upper central series |
| C5 | Abelian | Abelian label |
| C5 | Simple | Simple label |
| C5 | Ordinary complex irreducibles | Character table: identity column and real/complex/symplectic annotations |
| C5 | GAP SmallGroups ID | Aliases; GAP/Magma code by ID |
| C5 | Representation scope | Character table |
| C5 | Representation scope | Character table: identity column and real/complex/symplectic annotations |
| C5 | Structure and conventions | Character table |
| C5 | Family | Heading; Aliases |
| C5 | Family | Heading; Aliases |