database
GroupNames: SL(2,5), binary icosahedral
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 |
|---|---|---|
| 2T · 2O · 2I | Definition | Aliases: binary polyhedral group; Centre and rotational quotient |
| 2T · 2O · 2I | Parameter domain | Aliases: binary polyhedral group; Centre and rotational quotient |
| 2T · 2O · 2I | Scope and restrictions | Aliases: binary polyhedral group; Centre and rotational quotient |
| 2T · 2O · 2I | Finite subgroups of SU(2) | Aliases: binary polyhedral group; Centre and rotational quotient |
| 2I | Definition | Aliases |
| 2I | Order | Heading: order |
| 2I | Center | Centre |
| 2I | Abelian | Commutator; character table |
| 2I | Simple | Chief series; Centre |
| 2I | Ordinary complex irreducibles | Character table: identity column and real/complex/symplectic annotations |
| 2I | GAP SmallGroups ID | Aliases; GAP/Magma code by ID |
| 2I | Representation scope | Character table |
| 2I | Representation scope | Character table: identity column and real/complex/symplectic annotations |
| 2I | Structure and conventions | Heading; Centre; group-property labels; Aliases |
| 2I | Family | Heading; Aliases |
| 2I | 2I / C₂ ≅ A₅ | Centre: G/Z |