Extensions 1→N→G→Q→1 with N=C18 and Q=Dic3

Direct product G=NxQ with N=C18 and Q=Dic3
dρLabelID
Dic3xC1872Dic3xC18216,56

Semidirect products G=N:Q with N=C18 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
C18:Dic3 = C2xC9:Dic3φ: Dic3/C6C2 ⊆ Aut C18216C18:Dic3216,69

Non-split extensions G=N.Q with N=C18 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
C18.1Dic3 = C27:C8φ: Dic3/C6C2 ⊆ Aut C182162C18.1Dic3216,1
C18.2Dic3 = C2xDic27φ: Dic3/C6C2 ⊆ Aut C18216C18.2Dic3216,7
C18.3Dic3 = C36.S3φ: Dic3/C6C2 ⊆ Aut C18216C18.3Dic3216,16
C18.4Dic3 = C9xC3:C8central extension (φ=1)722C18.4Dic3216,13

׿
x
:
Z
F
o
wr
Q
<