Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=C₂₈

Direct product G=NxQ with N=C₂xD₄ and Q=C₂₈

		d	ρ	Label	ID
D₄xC₂xC₂₈		224		D4xC2xC28	448,1298

Semidirect products G=N:Q with N=C₂xD₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁C₂₈ = C₇xC₂².SD₁₆	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xD₄	112		(C2xD4):1C28	448,131
(C₂xD₄):₂C₂₈ = C₇xC₄²:C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xD₄	56	4	(C2xD4):2C28	448,157
(C₂xD₄):₃C₂₈ = C₇xC₂³.₂₃D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	224		(C2xD4):3C28	448,794
(C₂xD₄):₄C₂₈ = C₇xC₂⁴.₃C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	224		(C2xD4):4C28	448,798
(C₂xD₄):₅C₂₈ = C₁₄xC₂³:C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):5C28	448,817
(C₂xD₄):₆C₂₈ = C₇xC₂³.C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112	4	(C2xD4):6C28	448,818
(C₂xD₄):₇C₂₈ = C₁₄xD₄:C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	224		(C2xD4):7C28	448,822
(C₂xD₄):₈C₂₈ = C₇xC₂³.₃₇D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):8C28	448,826
(C₂xD₄):₉C₂₈ = C₁₄xC₄wrC₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):9C28	448,828
(C₂xD₄):₁₀C₂₈ = C₇xC₄²:C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112	4	(C2xD4):10C28	448,829
(C₂xD₄):₁₁C₂₈ = C₇xC₂².₁₁C₂⁴	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112		(C2xD4):11C28	448,1301

Non-split extensions G=N.Q with N=C₂xD₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁C₂₈ = C₇xC₄².C₂²	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xD₄	224		(C2xD4).1C28	448,133
(C₂xD₄).₂C₂₈ = C₇xC₄.D₈	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xD₄	224		(C2xD4).2C28	448,135
(C₂xD₄).₃C₂₈ = C₇xC₄².C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂xD₄	112	4	(C2xD4).3C28	448,159
(C₂xD₄).₄C₂₈ = C₇xD₄:C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	224		(C2xD4).4C28	448,129
(C₂xD₄).₅C₂₈ = C₇x(C₂²xC₈):C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	224		(C2xD4).5C28	448,816
(C₂xD₄).₆C₂₈ = C₁₄xC₄.D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112		(C2xD4).6C28	448,819
(C₂xD₄).₇C₂₈ = C₇xM₄(2).₈C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112	4	(C2xD4).7C28	448,821
(C₂xD₄).₈C₂₈ = C₇xC₈:₉D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	224		(C2xD4).8C28	448,843
(C₂xD₄).₉C₂₈ = C₇xC₈:₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	224		(C2xD4).9C28	448,844
(C₂xD₄).₁₀C₂₈ = C₇xQ₈oM₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂xD₄	112	4	(C2xD4).10C28	448,1351
(C₂xD₄).₁₁C₂₈ = D₄xC₅₆	φ: trivial image	224		(C2xD4).11C28	448,842
(C₂xD₄).₁₂C₂₈ = C₁₄xC₈oD₄	φ: trivial image	224		(C2xD4).12C28	448,1350

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