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

Direct product G=N×Q with N=C₂₇ and Q=C₁₈

		d	ρ	Label	ID
C₉×C₅₄		486		C9xC54	486,70

Semidirect products G=N:Q with N=C₂₇ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊C₁₈ = C₂₇⋊C₁₈	φ: C₁₈/C₁ → C₁₈ ⊆ Aut C₂₇	27	18+	C27:C18	486,31
C₂₇⋊₂C₁₈ = C₂×C₂₇⋊C₉	φ: C₁₈/C₂ → C₉ ⊆ Aut C₂₇	54	9	C27:2C18	486,82
C₂₇⋊₃C₁₈ = C₂₇⋊₃C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₂₇	54	6	C27:3C18	486,15
C₂₇⋊₄C₁₈ = C₂×C₂₇⋊₂C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂₇	486		C27:4C18	486,71
C₂₇⋊₅C₁₈ = C₉×D₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₂₇	54	2	C27:5C18	486,13

Non-split extensions G=N.Q with N=C₂₇ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇.C₁₈ = C₂×C₈₁⋊C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₂₇	162	3	C27.C18	486,84

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