Extensions 1→N→G→Q→1 with N=C27 and Q=C18

Direct product G=NxQ with N=C27 and Q=C18
dρLabelID
C9xC54486C9xC54486,70

Semidirect products G=N:Q with N=C27 and Q=C18
extensionφ:Q→Aut NdρLabelID
C27:C18 = C27:C18φ: C18/C1C18 ⊆ Aut C272718+C27:C18486,31
C27:2C18 = C2xC27:C9φ: C18/C2C9 ⊆ Aut C27549C27:2C18486,82
C27:3C18 = C27:3C18φ: C18/C3C6 ⊆ Aut C27546C27:3C18486,15
C27:4C18 = C2xC27:2C9φ: C18/C6C3 ⊆ Aut C27486C27:4C18486,71
C27:5C18 = C9xD27φ: C18/C9C2 ⊆ Aut C27542C27:5C18486,13

Non-split extensions G=N.Q with N=C27 and Q=C18
extensionφ:Q→Aut NdρLabelID
C27.C18 = C2xC81:C3φ: C18/C6C3 ⊆ Aut C271623C27.C18486,84

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