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A 6
URI:
https://gptkb.org/entity/A_6
GPTKB entity
Statements (29)
Predicate
Object
gptkbp:instanceOf
gptkb:group_of_people
gptkbp:centralTo
trivial
gptkbp:hasConjugacyClasses
7
gptkbp:hasElementOrder
2
1
10
3
4
5
6
gptkbp:hasNormalSubgroup
gptkb:S_6
gptkbp:hasOuterAutomorphism
true
gptkbp:hasSubgroup
gptkb:S_6
https://www.w3.org/2000/01/rdf-schema#label
A 6
gptkbp:isAlternatingGroupOfDegree
6
gptkbp:isFiniteGroup
true
gptkbp:isGroupOfEvenPermutations
true
gptkbp:isNonAbelian
true
gptkbp:isomorphicTo
gptkb:PGL(2,9)
gptkb:PSL(2,9)
gptkbp:isPerfect
true
gptkbp:isQuotientOf
gptkb:S_6
gptkbp:isSimple
true
gptkbp:isSmallestNontrivialAlternatingGroupWithOuterAutomorphism
true
gptkbp:isSporadicGroup
false
gptkbp:isTransitiveOn
6 points
gptkbp:order
360
gptkbp:bfsParent
gptkb:S_6
gptkbp:bfsLayer
7