Statements (28)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:automorphismGroup |
disjoint union of two 2-element sets
|
gptkbp:centralTo |
gptkb:C_2_×_C_2
|
gptkbp:cycle |
false
|
gptkbp:derivedSubgroup |
trivial group
|
gptkbp:exponent |
2
|
gptkbp:hasElementOrder |
2
1 |
gptkbp:hasNormalSubgroup |
gptkb:S_4
|
gptkbp:hasSubgroup |
gptkb:S_4
gptkb:A_4 5 |
https://www.w3.org/2000/01/rdf-schema#label |
C 2 × C 2
|
gptkbp:isDirectProductOf |
gptkb:C_2
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
gptkb:Klein_four-group
gptkb:V_4 |
gptkbp:isQuotientOf |
gptkb:D_4
|
gptkbp:isSimple |
false
|
gptkbp:numberOfElementsOfOrder2 |
3
|
gptkbp:order |
4
|
gptkbp:presentedBy |
⟨a,b | a^2 = b^2 = 1, ab = ba⟩
|
gptkbp:bfsParent |
gptkb:Dih_6
gptkb:Aut(A_6) gptkb:PSL(2,9) gptkb:S_3_×_S_3 gptkb:D_{12} |
gptkbp:bfsLayer |
8
|