Extensions 1→N→G→Q→1 with N=C₉×C₁₈ and Q=C₃

Direct product G=N×Q with N=C₉×C₁₈ and Q=C₃

		d	ρ	Label	ID
C₃×C₉×C₁₈		486		C3xC9xC18	486,190

Semidirect products G=N:Q with N=C₉×C₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₉×C₁₈)⋊₁C₃ = C₂×C₉²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	54	3	(C9xC18):1C3	486,85
(C₉×C₁₈)⋊₂C₃ = C₂×C₉²⋊₂C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	54	3	(C9xC18):2C3	486,86
(C₉×C₁₈)⋊₃C₃ = C₂×C₉²⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	162		(C9xC18):3C3	486,193
(C₉×C₁₈)⋊₄C₃ = C₂×C₉²⋊₄C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	162		(C9xC18):4C3	486,203
(C₉×C₁₈)⋊₅C₃ = C₂×C₉²⋊₅C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	162		(C9xC18):5C3	486,204
(C₉×C₁₈)⋊₆C₃ = C₁₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	162		(C9xC18):6C3	486,195
(C₉×C₁₈)⋊₇C₃ = C₂×C₉²⋊₇C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	162		(C9xC18):7C3	486,202
(C₉×C₁₈)⋊₈C₃ = C₂×C₉²⋊₈C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	162		(C9xC18):8C3	486,205
(C₉×C₁₈)⋊₉C₃ = C₂×C₉²⋊₉C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	162		(C9xC18):9C3	486,206

Non-split extensions G=N.Q with N=C₉×C₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₉×C₁₈).₁C₃ = C₂×C₂₇⋊₂C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	486		(C9xC18).1C3	486,71
(C₉×C₁₈).₂C₃ = C₂×C₉².C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	54	3	(C9xC18).2C3	486,87
(C₉×C₁₈).₃C₃ = C₂×C₉⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₉×C₁₈	486		(C9xC18).3C3	486,81

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