database
GroupNames: CSU(2,3), binary octahedral
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 |
| 2O | Definition | Aliases |
| 2O | Order | Heading: order |
| 2O | Center | Centre |
| 2O | Abelian | Commutator; character table |
| 2O | Simple | Chief series; Centre |
| 2O | Ordinary complex irreducibles | Character table: identity column and real/complex/symplectic annotations |
| 2O | GAP SmallGroups ID | Aliases; GAP/Magma code by ID |
| 2O | Representation scope | Character table |
| 2O | Representation scope | Character table: identity column and real/complex/symplectic annotations |
| 2O | Structure and conventions | Heading; Centre; group-property labels; Aliases |
| 2O | Family | Heading; Aliases |
| 2O | 2O / C₂ ≅ S₄ | Centre: G/Z |