Extensions 1→N→G→Q→1 with N=C₃²×D₈ and Q=C₂

Direct product G=N×Q with N=C₃²×D₈ and Q=C₂

		d	ρ	Label	ID
D₈×C₃×C₆		144		D8xC3xC6	288,829

Semidirect products G=N:Q with N=C₃²×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₈)⋊₁C₂ = C₃×C₃⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	48	4	(C3^2xD8):1C2	288,260
(C₃²×D₈)⋊₂C₂ = C₃²⋊₇D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	144		(C3^2xD8):2C2	288,301
(C₃²×D₈)⋊₃C₂ = C₃×S₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	48	4	(C3^2xD8):3C2	288,681
(C₃²×D₈)⋊₄C₂ = C₃×D₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	48	4	(C3^2xD8):4C2	288,683
(C₃²×D₈)⋊₅C₂ = D₈×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	72		(C3^2xD8):5C2	288,767
(C₃²×D₈)⋊₆C₂ = C₂₄.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	144		(C3^2xD8):6C2	288,769
(C₃²×D₈)⋊₇C₂ = C₂₄⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	72		(C3^2xD8):7C2	288,768
(C₃²×D₈)⋊₈C₂ = C₃×D₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	48	4	(C3^2xD8):8C2	288,682
(C₃²×D₈)⋊₉C₂ = C₃²×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	144		(C3^2xD8):9C2	288,329
(C₃²×D₈)⋊₁₀C₂ = C₃²×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	72		(C3^2xD8):10C2	288,833
(C₃²×D₈)⋊₁₁C₂ = C₃²×C₄○D₈	φ: trivial image	144		(C3^2xD8):11C2	288,832

Non-split extensions G=N.Q with N=C₃²×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₈).₁C₂ = C₃×D₈.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	48	4	(C3^2xD8).1C2	288,261
(C₃²×D₈).₂C₂ = C₃²⋊₈SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	144		(C3^2xD8).2C2	288,302
(C₃²×D₈).₃C₂ = C₃²×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₈	144		(C3^2xD8).3C2	288,330

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