Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb: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
|
| 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 |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
symmetric group S11
|