Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=C₁₈

Direct product G=N×Q with N=C₃×D₄ and Q=C₁₈

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=C₃×D₄ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁C₁₈ = C₉×D₄⋊S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	72	4	(C3xD4):1C18	432,150
(C₃×D₄)⋊₂C₁₈ = S₃×D₄×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	72	4	(C3xD4):2C18	432,358
(C₃×D₄)⋊₃C₁₈ = C₉×D₄⋊₂S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	72	4	(C3xD4):3C18	432,359
(C₃×D₄)⋊₄C₁₈ = D₈×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	216		(C3xD4):4C18	432,215
(C₃×D₄)⋊₅C₁₈ = C₄○D₄×C₃×C₉	φ: trivial image	216		(C3xD4):5C18	432,409

Non-split extensions G=N.Q with N=C₃×D₄ and Q=C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁C₁₈ = C₉×D₄.S₃	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	72	4	(C3xD4).1C18	432,151
(C₃×D₄).₂C₁₈ = D₈×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	216	2	(C3xD4).2C18	432,25
(C₃×D₄).₃C₁₈ = SD₁₆×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	216	2	(C3xD4).3C18	432,26
(C₃×D₄).₄C₁₈ = SD₁₆×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Out C₃×D₄	216		(C3xD4).4C18	432,218
(C₃×D₄).₅C₁₈ = D₄×C₅₄	φ: trivial image	216		(C3xD4).5C18	432,54
(C₃×D₄).₆C₁₈ = C₄○D₄×C₂₇	φ: trivial image	216	2	(C3xD4).6C18	432,56

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