Statements (41)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
7 elements
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:commutatorSubgroup |
gptkb:A_7
|
| gptkbp:conjugacyClasses |
15
|
| gptkbp:degree |
7
|
| gptkbp:generation |
(1 2)
(1 2 3 ... 7) |
| gptkbp:hasElementOrder |
2
3 4 5 6 7 |
| gptkbp:hasMaximalSubgroup |
gptkb:S_8
|
| gptkbp:hasNormalSubgroup |
gptkb:A_7
|
| gptkbp:hasOuterAutomorphism |
false
|
| gptkbp:hasSubgroup |
gptkb:C_2
gptkb:S_6 gptkb:A_7 gptkb:C_7 gptkb:S_8 gptkb:D_7 |
| https://www.w3.org/2000/01/rdf-schema#label |
S 7
|
| gptkbp:isGroupOfPermutations |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isNotAbelian |
true
|
| gptkbp:isNotSolvable |
true
|
| gptkbp:isomorphicTo |
gptkb:Sym(7)
|
| gptkbp:isPerfect |
false
|
| gptkbp:isPrimitive |
true
|
| gptkbp:isSimple |
false
true |
| gptkbp:isSolvable |
false
|
| gptkbp:isTransitiveOn |
true
|
| gptkbp:notation |
gptkb:S_7
gptkb:Sym(7) |
| gptkbp:order |
5040
|
| gptkbp:representationTheory |
15 irreducible representations
|
| gptkbp:bfsParent |
gptkb:S_6
|
| gptkbp:bfsLayer |
7
|