Extensions 1→N→G→Q→1 with N=C₃²×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₃²×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₄○D₄×C₃×C₆		144		C4oD4xC3xC6	288,1021

Semidirect products G=N:Q with N=C₃²×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₄○D₄)⋊₁C₂ = C₃×D₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4):1C2	288,720
(C₃²×C₄○D₄)⋊₂C₂ = C₃×Q₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4):2C2	288,721
(C₃²×C₄○D₄)⋊₃C₂ = C₆².₇₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	72		(C3^2xC4oD4):3C2	288,806
(C₃²×C₄○D₄)⋊₄C₂ = C₆².₇₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4):4C2	288,807
(C₃²×C₄○D₄)⋊₅C₂ = C₃×S₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4):5C2	288,998
(C₃²×C₄○D₄)⋊₆C₂ = C₃×D₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4):6C2	288,999
(C₃²×C₄○D₄)⋊₇C₂ = C₃×Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4):7C2	288,1000
(C₃²×C₄○D₄)⋊₈C₂ = C₄○D₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	72		(C3^2xC4oD4):8C2	288,1013
(C₃²×C₄○D₄)⋊₉C₂ = C₆².₁₅₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	72		(C3^2xC4oD4):9C2	288,1014
(C₃²×C₄○D₄)⋊₁₀C₂ = C₃²⋊₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4):10C2	288,1015
(C₃²×C₄○D₄)⋊₁₁C₂ = C₃²×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4):11C2	288,832
(C₃²×C₄○D₄)⋊₁₂C₂ = C₃²×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	72		(C3^2xC4oD4):12C2	288,833
(C₃²×C₄○D₄)⋊₁₃C₂ = C₃²×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	72		(C3^2xC4oD4):13C2	288,1022
(C₃²×C₄○D₄)⋊₁₄C₂ = C₃²×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4):14C2	288,1023

Non-split extensions G=N.Q with N=C₃²×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₄○D₄).₁C₂ = C₃×Q₈⋊₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4).1C2	288,271
(C₃²×C₄○D₄).₂C₂ = C₆².₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	72		(C3^2xC4oD4).2C2	288,312
(C₃²×C₄○D₄).₃C₂ = C₃×D₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4).3C2	288,719
(C₃²×C₄○D₄).₄C₂ = C₃×Q₈.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	48	4	(C3^2xC4oD4).4C2	288,722
(C₃²×C₄○D₄).₅C₂ = D₄.(C₃⋊Dic₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4).5C2	288,805
(C₃²×C₄○D₄).₆C₂ = C₆².₇₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4).6C2	288,808
(C₃²×C₄○D₄).₇C₂ = C₃²×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	72		(C3^2xC4oD4).7C2	288,322
(C₃²×C₄○D₄).₈C₂ = C₃²×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4).8C2	288,834
(C₃²×C₄○D₄).₉C₂ = C₃²×C₈○D₄	φ: trivial image	144		(C3^2xC4oD4).9C2	288,828

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