Extensions 1→N→G→Q→1 with N=C₃×D₂₄ and Q=C₂

Direct product G=N×Q with N=C₃×D₂₄ and Q=C₂

		d	ρ	Label	ID
C₆×D₂₄		96		C6xD24	288,674

Semidirect products G=N:Q with N=C₃×D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₄)⋊₁C₂ = C₂₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):1C2	288,446
(C₃×D₂₄)⋊₂C₂ = D₂₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):2C2	288,443
(C₃×D₂₄)⋊₃C₂ = C₃×C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):3C2	288,679
(C₃×D₂₄)⋊₄C₂ = C₃×D₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	2	(C3xD24):4C2	288,233
(C₃×D₂₄)⋊₅C₂ = C₃²⋊₂D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	4	(C3xD24):5C2	288,193
(C₃×D₂₄)⋊₆C₂ = C₃⋊D₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4+	(C3xD24):6C2	288,194
(C₃×D₂₄)⋊₇C₂ = C₃×C₃⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):7C2	288,260
(C₃×D₂₄)⋊₈C₂ = S₃×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4+	(C3xD24):8C2	288,441
(C₃×D₂₄)⋊₉C₂ = C₂₄⋊₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):9C2	288,445
(C₃×D₂₄)⋊₁₀C₂ = D₂₄⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	4-	(C3xD24):10C2	288,455
(C₃×D₂₄)⋊₁₁C₂ = D₂₄⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):11C2	288,458
(C₃×D₂₄)⋊₁₂C₂ = C₃×S₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):12C2	288,681
(C₃×D₂₄)⋊₁₃C₂ = C₃×D₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	4	(C3xD24):13C2	288,690
(C₃×D₂₄)⋊₁₄C₂ = C₃×Q₈⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	48	4	(C3xD24):14C2	288,685
(C₃×D₂₄)⋊₁₅C₂ = C₃×C₄○D₂₄	φ: trivial image	48	2	(C3xD24):15C2	288,675

Non-split extensions G=N.Q with N=C₃×D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₄).₁C₂ = C₃×C₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	2	(C3xD24).1C2	288,234
(C₃×D₂₄).₂C₂ = D₂₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	4	(C3xD24).2C2	288,195
(C₃×D₂₄).₃C₂ = C₃²⋊₃SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	4-	(C3xD24).3C2	288,196
(C₃×D₂₄).₄C₂ = C₃×C₈.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₄	96	4	(C3xD24).4C2	288,262

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