Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=Dic₆

Direct product G=N×Q with N=C₂×C₆ and Q=Dic₆

		d	ρ	Label	ID
C₂×C₆×Dic₆		96		C2xC6xDic6	288,988

Semidirect products G=N:Q with N=C₂×C₆ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊Dic₆ = Dic₃.S₄	φ: Dic₆/C₂ → D₆ ⊆ Aut C₂×C₆	72	6-	(C2xC6):Dic6	288,852
(C₂×C₆)⋊₂Dic₆ = C₃×A₄⋊Q₈	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂×C₆	72	6	(C2xC6):2Dic6	288,896
(C₂×C₆)⋊₃Dic₆ = A₄⋊Dic₆	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂×C₆	72	6-	(C2xC6):3Dic6	288,907
(C₂×C₆)⋊₄Dic₆ = C₆²⋊₄Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₆	48		(C2xC6):4Dic6	288,630
(C₂×C₆)⋊₅Dic₆ = C₆²⋊₆Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₆	144		(C2xC6):5Dic6	288,735
(C₂×C₆)⋊₆Dic₆ = C₃×Dic₃.D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6):6Dic6	288,649
(C₂×C₆)⋊₇Dic₆ = C₆²⋊₃Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6):7Dic6	288,612
(C₂×C₆)⋊₈Dic₆ = C₂²×C₃²⋊₂Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6):8Dic6	288,975
(C₂×C₆)⋊₉Dic₆ = C₃×C₁₂.₄₈D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6):9Dic6	288,695
(C₂×C₆)⋊₁₀Dic₆ = C₆²⋊₁₀Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6):10Dic6	288,781
(C₂×C₆)⋊₁₁Dic₆ = C₂²×C₃²⋊₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6):11Dic6	288,1003

Non-split extensions G=N.Q with N=C₂×C₆ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).Dic₆ = C₁₂.₁S₄	φ: Dic₆/C₄ → S₃ ⊆ Aut C₂×C₆	72	6-	(C2xC6).Dic6	288,332
(C₂×C₆).₂Dic₆ = C₃₆.₅₃D₄	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₆	144	4	(C2xC6).2Dic6	288,29
(C₂×C₆).₃Dic₆ = C₂²⋊₂Dic₁₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₆	144		(C2xC6).3Dic6	288,88
(C₂×C₆).₄Dic₆ = C₆².₅Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₆	48	4	(C2xC6).4Dic6	288,226
(C₂×C₆).₅Dic₆ = C₆².₈Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂×C₆	144		(C2xC6).5Dic6	288,297
(C₂×C₆).₆Dic₆ = C₃×C₁₂.₅₃D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	48	4	(C2xC6).6Dic6	288,256
(C₂×C₆).₇Dic₆ = C₁₂.₈₂D₁₂	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	48	4	(C2xC6).7Dic6	288,225
(C₂×C₆).₈Dic₆ = C₆².₆Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).8Dic6	288,227
(C₂×C₆).₉Dic₆ = C₂×Dic₃⋊Dic₃	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).9Dic6	288,613
(C₂×C₆).₁₀Dic₆ = C₂×C₆².C₂²	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).10Dic6	288,615
(C₂×C₆).₁₁Dic₆ = C₃×C₂₄.C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	48	2	(C2xC6).11Dic6	288,253
(C₂×C₆).₁₂Dic₆ = C₇₂.C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	144	2	(C2xC6).12Dic6	288,20
(C₂×C₆).₁₃Dic₆ = C₁₈.C₄²	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6).13Dic6	288,38
(C₂×C₆).₁₄Dic₆ = C₂×Dic₉⋊C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6).14Dic6	288,133
(C₂×C₆).₁₅Dic₆ = C₃₆.₄₉D₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).15Dic6	288,134
(C₂×C₆).₁₆Dic₆ = C₂×C₄⋊Dic₉	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6).16Dic6	288,135
(C₂×C₆).₁₇Dic₆ = C₁₂.₅₉D₁₂	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).17Dic6	288,294
(C₂×C₆).₁₈Dic₆ = C₆².₁₅Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6).18Dic6	288,306
(C₂×C₆).₁₉Dic₆ = C₂²×Dic₁₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6).19Dic6	288,352
(C₂×C₆).₂₀Dic₆ = C₂×C₆.Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6).20Dic6	288,780
(C₂×C₆).₂₁Dic₆ = C₂×C₁₂⋊Dic₃	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂×C₆	288		(C2xC6).21Dic6	288,782
(C₂×C₆).₂₂Dic₆ = C₃×C₆.C₄²	central extension (φ=1)	96		(C2xC6).22Dic6	288,265
(C₂×C₆).₂₃Dic₆ = C₆×Dic₃⋊C₄	central extension (φ=1)	96		(C2xC6).23Dic6	288,694
(C₂×C₆).₂₄Dic₆ = C₆×C₄⋊Dic₃	central extension (φ=1)	96		(C2xC6).24Dic6	288,696

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=Dic6

Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=Dic₆