Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=C₁₂

Direct product G=N×Q with N=C₃×D₄ and Q=C₁₂

		d	ρ	Label	ID
D₄×C₃×C₁₂		144		D4xC3xC12	288,815

Semidirect products G=N:Q with N=C₃×D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁C₁₂ = C₃×D₄⋊Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	48		(C3xD4):1C12	288,266
(C₃×D₄)⋊₂C₁₂ = C₃×Q₈⋊₃Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	48	4	(C3xD4):2C12	288,271
(C₃×D₄)⋊₃C₁₂ = C₃×D₄×Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	48		(C3xD4):3C12	288,705
(C₃×D₄)⋊₄C₁₂ = C₃²×D₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	144		(C3xD4):4C12	288,320
(C₃×D₄)⋊₅C₁₂ = C₃²×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	72		(C3xD4):5C12	288,322

Non-split extensions G=N.Q with N=C₃×D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁C₁₂ = C₃×D₄.Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	48	4	(C3xD4).1C12	288,719
(C₃×D₄).₂C₁₂ = C₉×D₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	144		(C3xD4).2C12	288,52
(C₃×D₄).₃C₁₂ = C₉×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₄	72	2	(C3xD4).3C12	288,54
(C₃×D₄).₄C₁₂ = D₄×C₃₆	φ: trivial image	144		(C3xD4).4C12	288,168
(C₃×D₄).₅C₁₂ = C₉×C₈○D₄	φ: trivial image	144	2	(C3xD4).5C12	288,181
(C₃×D₄).₆C₁₂ = C₃²×C₈○D₄	φ: trivial image	144		(C3xD4).6C12	288,828

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