Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
cyclic group |
gptkbp:automorphismGroup |
(Z/24Z)^*
|
gptkbp:centralTo |
itself
|
gptkbp:everySubgroupIsNormal |
true
|
gptkbp:generation |
element of order 24
|
gptkbp:hasSubgroup |
8
|
https://www.w3.org/2000/01/rdf-schema#label |
cyclic group of order 24
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
Z/24Z
|
gptkbp:numberOfElementsOfOrder24 |
phi(24)=8
|
gptkbp:order |
24
|
gptkbp:presentedBy |
<a | a^24 = 1>
|
gptkbp:structure |
finite, simple, abelian group
|
gptkbp:subgroupStructure |
subgroups of orders 1, 2, 3, 4, 6, 8, 12, 24
|
gptkbp:uniqueUpToIsomorphism |
true
|
gptkbp:bfsParent |
gptkb:symmetric_group_S24
|
gptkbp:bfsLayer |
8
|