Extensions 1→N→G→Q→1 with N=C₆xD₄ and Q=C₄

Direct product G=NxQ with N=C₆xD₄ and Q=C₄

		d	ρ	Label	ID
D₄xC₂xC₁₂		96		D4xC2xC12	192,1404

Semidirect products G=N:Q with N=C₆xD₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄):₁C₄ = (C₆xD₄):C₄	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	48		(C6xD4):1C4	192,96
(C₆xD₄):₂C₄ = C₄²:₅Dic₃	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	24	4	(C6xD4):2C4	192,104
(C₆xD₄):₃C₄ = C₃xC₂².SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	48		(C6xD4):3C4	192,133
(C₆xD₄):₄C₄ = C₃xC₄²:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	24	4	(C6xD4):4C4	192,159
(C₆xD₄):₅C₄ = C₂xD₄:Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4):5C4	192,773
(C₆xD₄):₆C₄ = (C₆xD₄):₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):6C4	192,774
(C₆xD₄):₇C₄ = C₂⁴.₃₀D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4):7C4	192,780
(C₆xD₄):₈C₄ = C₂xQ₈:₃Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):8C4	192,794
(C₆xD₄):₉C₄ = (C₆xD₄):₉C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4):9C4	192,795
(C₆xD₄):₁₀C₄ = (C₆xD₄):₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4):10C4	192,799
(C₆xD₄):₁₁C₄ = C₂xD₄xDic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4):11C4	192,1354
(C₆xD₄):₁₂C₄ = C₂⁴.₄₉D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):12C4	192,1357
(C₆xD₄):₁₃C₄ = C₂xC₂³.₇D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):13C4	192,778
(C₆xD₄):₁₄C₄ = C₂⁴.₂₉D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4):14C4	192,779
(C₆xD₄):₁₅C₄ = C₃xC₂³.₂₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4):15C4	192,819
(C₆xD₄):₁₆C₄ = C₃xC₂⁴.₃C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4):16C4	192,823
(C₆xD₄):₁₇C₄ = C₆xC₂³:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):17C4	192,842
(C₆xD₄):₁₈C₄ = C₃xC₂³.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4):18C4	192,843
(C₆xD₄):₁₉C₄ = C₆xD₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4):19C4	192,847
(C₆xD₄):₂₀C₄ = C₃xC₂³.₃₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):20C4	192,851
(C₆xD₄):₂₁C₄ = C₆xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):21C4	192,853
(C₆xD₄):₂₂C₄ = C₃xC₄²:C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4):22C4	192,854
(C₆xD₄):₂₃C₄ = C₃xC₂².₁₁C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4):23C4	192,1407

Non-split extensions G=N.Q with N=C₆xD₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₄).₁C₄ = C₄².₇D₆	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	96		(C6xD4).1C4	192,99
(C₆xD₄).₂C₄ = C₄².Dic₃	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	48	4	(C6xD4).2C4	192,101
(C₆xD₄).₃C₄ = C₁₂.₉D₈	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	96		(C6xD4).3C4	192,103
(C₆xD₄).₄C₄ = C₃xC₄².C₂²	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	96		(C6xD4).4C4	192,135
(C₆xD₄).₅C₄ = C₃xC₄.D₈	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	96		(C6xD4).5C4	192,137
(C₆xD₄).₆C₄ = C₃xC₄².C₄	φ: C₄/C₁ → C₄ ⊆ Out C₆xD₄	48	4	(C6xD4).6C4	192,161
(C₆xD₄).₇C₄ = C₁₂.₅₇D₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).7C4	192,93
(C₆xD₄).₈C₄ = D₄xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).8C4	192,569
(C₆xD₄).₉C₄ = C₁₂:₃M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).9C4	192,571
(C₆xD₄).₁₀C₄ = C₂xC₁₂.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).10C4	192,775
(C₆xD₄).₁₁C₄ = (C₆xD₄).₁₁C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).11C4	192,793
(C₆xD₄).₁₂C₄ = C₂xD₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).12C4	192,1377
(C₆xD₄).₁₃C₄ = C₁₂.₇₆C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4).13C4	192,1378
(C₆xD₄).₁₄C₄ = C₃xD₄:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).14C4	192,131
(C₆xD₄).₁₅C₄ = C₄².₄₇D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).15C4	192,570
(C₆xD₄).₁₆C₄ = (C₆xD₄).₁₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4).16C4	192,796
(C₆xD₄).₁₇C₄ = C₃x(C₂²xC₈):C₂	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).17C4	192,841
(C₆xD₄).₁₈C₄ = C₆xC₄.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48		(C6xD4).18C4	192,844
(C₆xD₄).₁₉C₄ = C₃xM₄(2).₈C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4).19C4	192,846
(C₆xD₄).₂₀C₄ = C₃xC₈:₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).20C4	192,868
(C₆xD₄).₂₁C₄ = C₃xC₈:₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	96		(C6xD4).21C4	192,869
(C₆xD₄).₂₂C₄ = C₃xQ₈oM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₆xD₄	48	4	(C6xD4).22C4	192,1457
(C₆xD₄).₂₃C₄ = D₄xC₂₄	φ: trivial image	96		(C6xD4).23C4	192,867
(C₆xD₄).₂₄C₄ = C₆xC₈oD₄	φ: trivial image	96		(C6xD4).24C4	192,1456

Extensions 1→N→G→Q→1 with N=C6xD4 and Q=C4

Extensions 1→N→G→Q→1 with N=C₆xD₄ and Q=C₄