Extensions 1→N→G→Q→1 with N=Dic₃×C₂×C₆ and Q=C₂

Direct product G=N×Q with N=Dic₃×C₂×C₆ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₂²×C₆		96		Dic3xC2^2xC6	288,1001

Semidirect products G=N:Q with N=Dic₃×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(Dic₃×C₂×C₆)⋊₁C₂ = C₂×D₆⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6):1C2	288,608
(Dic₃×C₂×C₆)⋊₂C₂ = C₆².₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):2C2	288,609
(Dic₃×C₂×C₆)⋊₃C₂ = C₂×C₆.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):3C2	288,611
(Dic₃×C₂×C₆)⋊₄C₂ = C₆².₆₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):4C2	288,614
(Dic₃×C₂×C₆)⋊₅C₂ = C₃×Dic₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):5C2	288,652
(Dic₃×C₂×C₆)⋊₆C₂ = C₃×C₂³.₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):6C2	288,657
(Dic₃×C₂×C₆)⋊₇C₂ = C₆×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6):7C2	288,698
(Dic₃×C₂×C₆)⋊₈C₂ = C₃×D₄×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):8C2	288,705
(Dic₃×C₂×C₆)⋊₉C₂ = C₃×C₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):9C2	288,706
(Dic₃×C₂×C₆)⋊₁₀C₂ = C₆×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):10C2	288,723
(Dic₃×C₂×C₆)⋊₁₁C₂ = C₆²⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):11C2	288,626
(Dic₃×C₂×C₆)⋊₁₂C₂ = C₂²×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):12C2	288,974
(Dic₃×C₂×C₆)⋊₁₃C₂ = C₂×D₆.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):13C2	288,970
(Dic₃×C₂×C₆)⋊₁₄C₂ = C₆².₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):14C2	288,600
(Dic₃×C₂×C₆)⋊₁₅C₂ = Dic₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):15C2	288,620
(Dic₃×C₂×C₆)⋊₁₆C₂ = C₂²×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6):16C2	288,969
(Dic₃×C₂×C₆)⋊₁₇C₂ = C₂²×C₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):17C2	288,972
(Dic₃×C₂×C₆)⋊₁₈C₂ = C₃×C₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):18C2	288,710
(Dic₃×C₂×C₆)⋊₁₉C₂ = C₆×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):19C2	288,993
(Dic₃×C₂×C₆)⋊₂₀C₂ = C₂×C₆×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6):20C2	288,1002
(Dic₃×C₂×C₆)⋊₂₁C₂ = S₃×C₂²×C₁₂	φ: trivial image	96	(Dic3xC2xC6):21C2	288,989

Non-split extensions G=N.Q with N=Dic₃×C₂×C₆ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(Dic₃×C₂×C₆).₁C₂ = C₆².₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).1C2	288,227
(Dic₃×C₂×C₆).₂C₂ = C₃×C₆.C₄²	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).2C2	288,265
(Dic₃×C₂×C₆).₃C₂ = C₂×Dic₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).3C2	288,613
(Dic₃×C₂×C₆).₄C₂ = C₂×C₆².C₂²	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).4C2	288,615
(Dic₃×C₂×C₆).₅C₂ = C₆×C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).5C2	288,696
(Dic₃×C₂×C₆).₆C₂ = C₆²⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6).6C2	288,612
(Dic₃×C₂×C₆).₇C₂ = C₂²×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).7C2	288,975
(Dic₃×C₂×C₆).₈C₂ = C₆².₉₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6).8C2	288,603
(Dic₃×C₂×C₆).₉C₂ = C₂×Dic₃²	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).9C2	288,602
(Dic₃×C₂×C₆).₁₀C₂ = C₃×C₂³.₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6).10C2	288,648
(Dic₃×C₂×C₆).₁₁C₂ = C₃×Dic₃.D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	48	(Dic3xC2xC6).11C2	288,649
(Dic₃×C₂×C₆).₁₂C₂ = C₆×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).12C2	288,694
(Dic₃×C₂×C₆).₁₃C₂ = C₂×C₆×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₂×C₆	96	(Dic3xC2xC6).13C2	288,988
(Dic₃×C₂×C₆).₁₄C₂ = Dic₃×C₂×C₁₂	φ: trivial image	96	(Dic3xC2xC6).14C2	288,693

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Extensions 1→N→G→Q→1 with N=Dic3×C2×C6 and Q=C2

Extensions 1→N→G→Q→1 with N=Dic₃×C₂×C₆ and Q=C₂