Statements (28)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
permutation group |
gptkbp:actsOn |
set of 11 elements
|
gptkbp:alternatingSubgroup |
gptkb:alternating_group_A11
|
gptkbp:automorphismGroup |
trivial group
|
gptkbp:centralTo |
trivial group
|
gptkbp:contains |
all even and odd permutations of 11 elements
|
gptkbp:degree |
11
|
gptkbp:generation |
(1 2)
(1 2 3 ... 11) |
gptkbp:hasNormalSubgroup |
gptkb:alternating_group_A11
|
gptkbp:hasSubgroup |
gptkb:alternating_group_A11
|
https://www.w3.org/2000/01/rdf-schema#label |
symmetric group S11
|
gptkbp:isFinite |
true
|
gptkbp:isMaximalIn |
no larger symmetric group
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
no other symmetric group except S11
|
gptkbp:isPrimitive |
true
|
gptkbp:isSimple |
false
|
gptkbp:isSolvable |
false
|
gptkbp:isTransitiveOn |
true
|
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
11
|
gptkbp:notation |
S11
|
gptkbp:numberOfConjugacyClasses |
56
|
gptkbp:numberOfElementsOfOrder2 |
495
|
gptkbp:order |
39916800
|
gptkbp:bfsParent |
gptkb:Mathieu_group_M11
|
gptkbp:bfsLayer |
7
|