Statements (27)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:actsOn |
4 elements
|
gptkbp:automorphismGroup |
gptkb:K_4_(complete_graph_on_4_vertices)
|
gptkbp:centralTo |
trivial group
|
gptkbp:degree |
4
|
gptkbp:hasElementOrder |
2
3 4 |
gptkbp:hasNormalSubgroup |
gptkb:V_4
gptkb:A_4 |
gptkbp:hasSubgroup |
gptkb:S_3
gptkb:V_4 gptkb:A_4 |
https://www.w3.org/2000/01/rdf-schema#label |
S 4
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
gptkb:PGL(2,3)
|
gptkbp:isSimple |
false
|
gptkbp:isSolvable |
true
|
gptkbp:numberOfConjugacyClasses |
5
|
gptkbp:numberOfElementsOfOrder |
1
6 8 9 |
gptkbp:order |
24
|
gptkbp:presentedBy |
⟨a,b|a^4=b^3=(ab)^2=1⟩
|
gptkbp:bfsParent |
gptkb:Klein_four-group
|
gptkbp:bfsLayer |
5
|