Extensions 1→N→G→Q→1 with N=C3 and Q=Dic18

Direct product G=N×Q with N=C3 and Q=Dic18
dρLabelID
C3×Dic18722C3xDic18216,43

Semidirect products G=N:Q with N=C3 and Q=Dic18
extensionφ:Q→Aut NdρLabelID
C31Dic18 = C9⋊Dic6φ: Dic18/Dic9C2 ⊆ Aut C3724-C3:1Dic18216,26
C32Dic18 = C12.D9φ: Dic18/C36C2 ⊆ Aut C3216C3:2Dic18216,63

Non-split extensions G=N.Q with N=C3 and Q=Dic18
extensionφ:Q→Aut NdρLabelID
C3.Dic18 = Dic54φ: Dic18/C36C2 ⊆ Aut C32162-C3.Dic18216,4

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