Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:non-abelian_group |
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:hasSubgroup |
gptkb:quaternion_group
gptkb:SU(2) |
| gptkbp:is_a_double_cover_of |
gptkb:icosahedral_group
|
| gptkbp:isomorphicTo |
gptkb:SL(2,5)
|
| gptkbp:order |
120
|
| gptkbp:presentedBy |
⟨s, t | s^2 = (st)^3 = t^5⟩
|
| gptkbp:quotient_by_center |
gptkb:icosahedral_group
|
| gptkbp:relatedTo |
symmetries of the icosahedron
|
| gptkbp:Schur_multiplier |
cyclic group of order 2
|
| gptkbp:used_in |
representation theory
quaternion algebra |
| gptkbp:bfsParent |
gptkb:Poincaré_homology_sphere
gptkb:Conway's_icosian_group |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
binary icosahedral group
|