Extensions 1→N→G→Q→1 with N=C9 and Q=C18

Direct product G=NxQ with N=C9 and Q=C18
dρLabelID
C9xC18162C9xC18162,23

Semidirect products G=N:Q with N=C9 and Q=C18
extensionφ:Q→Aut NdρLabelID
C9:C18 = C9:C18φ: C18/C3C6 ⊆ Aut C9186C9:C18162,6
C9:2C18 = C2xC9:C9φ: C18/C6C3 ⊆ Aut C9162C9:2C18162,25
C9:3C18 = C9xD9φ: C18/C9C2 ⊆ Aut C9182C9:3C18162,3

Non-split extensions G=N.Q with N=C9 and Q=C18
extensionφ:Q→Aut NdρLabelID
C9.C18 = C2xC27:C3φ: C18/C6C3 ⊆ Aut C9543C9.C18162,27

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