|
gptkbp:instanceOf
|
gptkb:group_of_people
permutation group
|
|
gptkbp:automorphismGroup
|
gptkb:symmetric_group_S8
trivial group
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:cycle
|
false
|
|
gptkbp:degree
|
8
|
|
gptkbp:hasElementOrder
|
2
3
4
5
6
7
8
|
|
gptkbp:hasMaximalSubgroup
|
none
|
|
gptkbp:hasNormalSubgroup
|
gptkb:alternating_group_A8
|
|
gptkbp:hasSubgroup
|
gptkb:A3
gptkb:A5
gptkb:A4
gptkb:A2
gptkb:A6
gptkb:alternating_group_A8
gptkb:S7
gptkb:A8
gptkb:S5
gptkb:S6
S4
S2
S3
A7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
symmetric group S8
|
|
gptkbp:isAlternating
|
false
|
|
gptkbp:isCayleyGroup
|
true
|
|
gptkbp:isCountable
|
true
|
|
gptkbp:isDihedral
|
false
|
|
gptkbp:isDirectProduct
|
false
|
|
gptkbp:isDoublyTransitive
|
true
|
|
gptkbp:isFinite
|
false
true
|
|
gptkbp:isFrobeniusGroup
|
false
|
|
gptkbp:isGeneratedBy
|
(1 2), (1 2 3 ... 8)
|
|
gptkbp:isGeneratedByTranspositions
|
true
|
|
gptkbp:isGroupOfPermutationsOnSet
|
{1,2,3,4,5,6,7,8}
|
|
gptkbp:isMetacyclic
|
false
|
|
gptkbp:isMinimalNonAbelianGroup
|
false
|
|
gptkbp:isMonolithic
|
true
|
|
gptkbp:isNilpotent
|
false
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isPerfect
|
false
|
|
gptkbp:isPermutationGroup
|
true
|
|
gptkbp:isPolycyclic
|
true
|
|
gptkbp:isPrimitive
|
true
|
|
gptkbp:isPrimitiveGroup
|
true
|
|
gptkbp:isRegularGroup
|
false
|
|
gptkbp:isSemidirectProduct
|
false
|
|
gptkbp:isSharplyTransitive
|
false
|
|
gptkbp:isSimple
|
false
|
|
gptkbp:isSolvable
|
false
|
|
gptkbp:isSupersolvable
|
false
|
|
gptkbp:isT2Group
|
false
|
|
gptkbp:isTransitiveGroup
|
true
|
|
gptkbp:isTransitiveOn
|
true
|
|
gptkbp:isUncountable
|
false
|
|
gptkbp:isWreathProduct
|
false
|
|
gptkbp:notation
|
gptkb:S8
|
|
gptkbp:numberOfConjugacyClasses
|
22
|
|
gptkbp:numberOfElementsOfOrder2
|
7840
|
|
gptkbp:numberOfElementsOfOrder3
|
4480
|
|
gptkbp:numberOfElementsOfOrder4
|
5040
|
|
gptkbp:numberOfElementsOfOrder5
|
1344
|
|
gptkbp:numberOfElementsOfOrder6
|
1792
|
|
gptkbp:numberOfElementsOfOrder7
|
720
|
|
gptkbp:numberOfElementsOfOrder8
|
1680
|
|
gptkbp:numberOfIssues
|
true
|
|
gptkbp:order
|
40320
|
|
gptkbp:quotientByA8
|
cyclic group of order 2
|
|
gptkbp:symmetry
|
true
|
|
gptkbp:bfsParent
|
gptkb:alternating_group_A8
|
|
gptkbp:bfsLayer
|
8
|