Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:automorphismGroup |
gptkb:symmetric_group_S_4
cyclic group of order 2 |
| gptkbp:centralTo |
trivial group
|
| gptkbp:derivedSubgroup |
gptkb:Klein_four-group
|
| gptkbp:hasElementOrder |
2
1 3 |
| gptkbp:hasIndexIn |
gptkb:symmetric_group_S_4
|
| gptkbp:hasNormalSubgroup |
gptkb:symmetric_group_S_4
|
| gptkbp:hasSubgroup |
gptkb:Klein_four-group
cyclic group of order 3 |
| https://www.w3.org/2000/01/rdf-schema#label |
alternating group A 4
|
| gptkbp:isNonAbelian |
false
|
| gptkbp:isomorphicTo |
group of even permutations on 4 elements
|
| gptkbp:isPerfect |
false
|
| gptkbp:isQuotientOf |
gptkb:special_linear_group_SL(2,3)
|
| gptkbp:isSimple |
false
|
| gptkbp:isSolvable |
true
|
| gptkbp:isTransitiveSubgroupOf |
gptkb:symmetric_group_S_4
|
| gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
4
|
| gptkbp:numberOfConjugacyClasses |
4
|
| gptkbp:order |
12
|
| gptkbp:presentedBy |
⟨ x, y | x^3 = y^2 = (xy)^3 = 1 ⟩
|
| gptkbp:bfsParent |
gptkb:modular_group_(q=3)
|
| gptkbp:bfsLayer |
7
|