|
gptkbp:instanceOf
|
gptkb:group_of_people
|
|
gptkbp:alsoKnownAs
|
gptkb:alternating_group_A4
|
|
gptkbp:automorphismGroup
|
S4
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:hasConjugacyClasses
|
4
|
|
gptkbp:hasDerivedSubgroup
|
gptkb:Klein_four-group
|
|
gptkbp:hasIrreducibleRepresentations
|
4
|
|
gptkbp:hasNormalSubgroup
|
gptkb:Klein_four-group
|
|
gptkbp:hasSubgroup
|
gptkb:symmetric_group_S4
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
tetrahedral group
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:A4
|
|
gptkbp:isSimple
|
false
|
|
gptkbp:isSolvable
|
true
|
|
gptkbp:isSymmetryGroupOf
|
gptkb:regular_tetrahedron
|
|
gptkbp:isTransitiveOnEdgesOf
|
gptkb:tetrahedron
|
|
gptkbp:isTransitiveOnFacesOf
|
gptkb:tetrahedron
|
|
gptkbp:isTransitiveOnVerticesOf
|
gptkb:tetrahedron
|
|
gptkbp:numberOfElementsOfOrder1
|
1
|
|
gptkbp:numberOfElementsOfOrder2
|
3
|
|
gptkbp:numberOfElementsOfOrder3
|
8
|
|
gptkbp:order
|
12
|
|
gptkbp:presentedBy
|
⟨x, y | x^3 = y^2 = (xy)^3 = 1⟩
|
|
gptkbp:usedIn
|
gptkb:geometry
chemistry
crystallography
group theory
|
|
gptkbp:bfsParent
|
gptkb:binary_tetrahedral_group
gptkb:hyperbolic_tetrahedral_groups
|
|
gptkbp:bfsLayer
|
8
|