|
gptkbp:instanceOf
|
gptkb:group_of_people
permutation group
|
|
gptkbp:automorphismGroup
|
gptkb:S5
C2
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:degree
|
5
|
|
gptkbp:hasNormalSubgroup
|
gptkb:A5
gptkb:S5
trivial group
|
|
gptkbp:hasSubgroup
|
gptkb:A5
gptkb:alternating_group_A5
gptkb:D5
gptkb:C5
S4
C2
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
symmetric group S5
|
|
gptkbp:isFirstNonSolvableSymmetricGroup
|
true
|
|
gptkbp:isFirstSimpleNonAbelianGroup
|
false
|
|
gptkbp:isFirstSymmetricGroupWithSimpleAlternatingSubgroup
|
true
|
|
gptkbp:isGeneratedByCycles
|
true
|
|
gptkbp:isGeneratedByTranspositions
|
true
|
|
gptkbp:isGroupOfPermutationsOn
|
5 elements
|
|
gptkbp:isMaximalFiniteSubgroupOf
|
GL(4, R)
|
|
gptkbp:isNonAbelian
|
false
|
|
gptkbp:isNonCommutative
|
true
|
|
gptkbp:isNonCyclic
|
true
|
|
gptkbp:isNonNilpotent
|
true
|
|
gptkbp:isNonPerfect
|
false
|
|
gptkbp:isNonSupersolvable
|
true
|
|
gptkbp:isomorphicTo
|
automorphism group of A5
|
|
gptkbp:isPerfect
|
false
|
|
gptkbp:isPrimitive
|
true
|
|
gptkbp:isQuotientOf
|
C2
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:isSolvable
|
true
|
|
gptkbp:isTransitiveOn
|
true
|
|
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation
|
5
|
|
gptkbp:notation
|
gptkb:S5
|
|
gptkbp:numberOfConjugacyClasses
|
7
|
|
gptkbp:numberOfElementsOfOrder2
|
25
|
|
gptkbp:numberOfElementsOfOrder3
|
20
|
|
gptkbp:numberOfElementsOfOrder4
|
30
|
|
gptkbp:numberOfElementsOfOrder5
|
24
|
|
gptkbp:numberOfElementsOfOrder6
|
20
|
|
gptkbp:order
|
120
|
|
gptkbp:bfsParent
|
gptkb:alternating_group_A5
|
|
gptkbp:bfsLayer
|
6
|