Extensions 1→N→G→Q→1 with N=C₄×Dic₃ and Q=C₆

Direct product G=N×Q with N=C₄×Dic₃ and Q=C₆

		d	ρ	Label	ID
Dic₃×C₂×C₁₂		96		Dic3xC2xC12	288,693

Semidirect products G=N:Q with N=C₄×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃)⋊₁C₆ = C₃×D₁₂⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48	4	(C4xDic3):1C6	288,259
(C₄×Dic₃)⋊₂C₆ = C₃×Q₈⋊₃Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48	4	(C4xDic3):2C6	288,271
(C₄×Dic₃)⋊₃C₆ = C₃×Dic₃⋊₅D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):3C6	288,664
(C₄×Dic₃)⋊₄C₆ = C₃×D₄×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):4C6	288,705
(C₄×Dic₃)⋊₅C₆ = C₃×C₂³.₁₂D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):5C6	288,707
(C₄×Dic₃)⋊₆C₆ = C₃×C₁₂⋊₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):6C6	288,711
(C₄×Dic₃)⋊₇C₆ = C₃×C₁₂.₂₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):7C6	288,718
(C₄×Dic₃)⋊₈C₆ = C₃×C₄²⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):8C6	288,643
(C₄×Dic₃)⋊₉C₆ = C₃×C₂³.₁₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):9C6	288,648
(C₄×Dic₃)⋊₁₀C₆ = C₃×C₂³.₈D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):10C6	288,650
(C₄×Dic₃)⋊₁₁C₆ = C₃×Dic₃⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):11C6	288,652
(C₄×Dic₃)⋊₁₂C₆ = C₃×C₂³.₁₁D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):12C6	288,656
(C₄×Dic₃)⋊₁₃C₆ = C₃×C₄⋊C₄⋊₇S₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):13C6	288,663
(C₄×Dic₃)⋊₁₄C₆ = C₃×C₄⋊C₄⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):14C6	288,669
(C₄×Dic₃)⋊₁₅C₆ = C₃×C₂³.₂₆D₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):15C6	288,697
(C₄×Dic₃)⋊₁₆C₆ = C₁₂×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):16C6	288,699
(C₄×Dic₃)⋊₁₇C₆ = S₃×C₄×C₁₂	φ: trivial image	96		(C4xDic3):17C6	288,642

Non-split extensions G=N.Q with N=C₄×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃).₁C₆ = C₃×C₁₂⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).1C6	288,659
(C₄×Dic₃).₂C₆ = C₃×C₄.Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).2C6	288,661
(C₄×Dic₃).₃C₆ = C₃×Dic₃⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).3C6	288,715
(C₄×Dic₃).₄C₆ = C₃×Q₈×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).4C6	288,716
(C₄×Dic₃).₅C₆ = C₃×Dic₃⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).5C6	288,248
(C₄×Dic₃).₆C₆ = C₃×C₂₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).6C6	288,249
(C₄×Dic₃).₇C₆ = C₁₂×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).7C6	288,639
(C₄×Dic₃).₈C₆ = C₃×Dic₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).8C6	288,658
(C₄×Dic₃).₉C₆ = C₃×Dic₃.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).9C6	288,660
(C₄×Dic₃).₁₀C₆ = Dic₃×C₂₄	φ: trivial image	96		(C4xDic3).10C6	288,247

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