Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:hasElementOrder |
2
1 3 4 6 |
| gptkbp:hasIrreducibleRepresentation |
2-dimensional
3-dimensional 1-dimensional |
| gptkbp:hasOrderOfCenter |
2
|
| gptkbp:hasOrderOfDerivedSubgroup |
12
|
| gptkbp:hasSubgroup |
gptkb:quaternion_group
gptkb:SU(2) gptkb:Spin(3) gptkb:binary_octahedral_group |
| https://www.w3.org/2000/01/rdf-schema#label |
binary tetrahedral group
|
| gptkbp:isBinaryPolyhedralGroup |
true
|
| gptkbp:isDoubleCoverOf |
gptkb:tetrahedral_group
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:SL(2,3)
Q_8 ⋊ C_3 |
| gptkbp:isPerfect |
true
|
| gptkbp:isQuotientOf |
gptkb:tetrahedral_group
|
| gptkbp:order |
24
|
| gptkbp:presentedBy |
⟨s, t | s^3 = t^4 = (st)^2⟩
|
| gptkbp:relatedTo |
gptkb:alternating_group_A_4
|
| gptkbp:SchurMultiplier |
cyclic group of order 2
|
| gptkbp:usedIn |
representation theory
quaternionic analysis geometry of regular polyhedra |
| gptkbp:bfsParent |
gptkb:binary_polyhedral_group
gptkb:Hurwitz_quaternions |
| gptkbp:bfsLayer |
7
|