Statements (32)
Predicate | Object |
---|---|
gptkbp:instanceOf |
dihedral group
|
gptkbp:centerOrder |
2
|
gptkbp:cycle |
false
|
gptkbp:hasNormalSubgroupOfOrder |
2
12 24 |
gptkbp:hasSubgroup |
2
12 24 4 6 8 |
https://www.w3.org/2000/01/rdf-schema#label |
dihedral group of order 48
|
gptkbp:isFinite |
true
|
gptkbp:isGroupOfSymmetriesOf |
regular 24-gon
|
gptkbp:isNilpotent |
false
|
gptkbp:isNonAbelian |
true
|
gptkbp:isSimple |
false
|
gptkbp:isSolvable |
true
|
gptkbp:isSupersolvable |
true
|
gptkbp:notation |
D_{24}
Dih_{24} |
gptkbp:numberOfConjugacyClasses |
14
|
gptkbp:numberOfElementsOfOrder2 |
25
|
gptkbp:numberOfElementsOfOrder3 |
0
|
gptkbp:numberOfElementsOfOrder4 |
12
|
gptkbp:numberOfElementsOfOrder6 |
0
|
gptkbp:numberOfIrreducibleRepresentations |
14
|
gptkbp:order |
48
|
gptkbp:presentedBy |
⟨r, s | r^{24} = s^2 = 1, s r s^{-1} = r^{-1}⟩
|
gptkbp:bfsParent |
gptkb:symmetric_group_S24
|
gptkbp:bfsLayer |
8
|