Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₂₈

Direct product G=N×Q with N=C₂×D₄ and Q=C₂₈

		d	ρ	Label	ID
D₄×C₂×C₂₈		224		D4xC2xC28	448,1298

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₂₈ = C₇×C₂².SD₁₆	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×D₄	112		(C2xD4):1C28	448,131
(C₂×D₄)⋊₂C₂₈ = C₇×C₄²⋊C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×D₄	56	4	(C2xD4):2C28	448,157
(C₂×D₄)⋊₃C₂₈ = C₇×C₂³.₂₃D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4):3C28	448,794
(C₂×D₄)⋊₄C₂₈ = C₇×C₂⁴.₃C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4):4C28	448,798
(C₂×D₄)⋊₅C₂₈ = C₁₄×C₂³⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):5C28	448,817
(C₂×D₄)⋊₆C₂₈ = C₇×C₂³.C₂³	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4):6C28	448,818
(C₂×D₄)⋊₇C₂₈ = C₁₄×D₄⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4):7C28	448,822
(C₂×D₄)⋊₈C₂₈ = C₇×C₂³.₃₇D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):8C28	448,826
(C₂×D₄)⋊₉C₂₈ = C₁₄×C₄≀C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):9C28	448,828
(C₂×D₄)⋊₁₀C₂₈ = C₇×C₄²⋊C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4):10C28	448,829
(C₂×D₄)⋊₁₁C₂₈ = C₇×C₂².₁₁C₂⁴	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):11C28	448,1301

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₂₈ = C₇×C₄².C₂²	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×D₄	224		(C2xD4).1C28	448,133
(C₂×D₄).₂C₂₈ = C₇×C₄.D₈	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×D₄	224		(C2xD4).2C28	448,135
(C₂×D₄).₃C₂₈ = C₇×C₄².C₄	φ: C₂₈/C₇ → C₄ ⊆ Out C₂×D₄	112	4	(C2xD4).3C28	448,159
(C₂×D₄).₄C₂₈ = C₇×D₄⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).4C28	448,129
(C₂×D₄).₅C₂₈ = C₇×(C₂²×C₈)⋊C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).5C28	448,816
(C₂×D₄).₆C₂₈ = C₁₄×C₄.D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4).6C28	448,819
(C₂×D₄).₇C₂₈ = C₇×M₄(2).₈C₂²	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4).7C28	448,821
(C₂×D₄).₈C₂₈ = C₇×C₈⋊₉D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).8C28	448,843
(C₂×D₄).₉C₂₈ = C₇×C₈⋊₆D₄	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).9C28	448,844
(C₂×D₄).₁₀C₂₈ = C₇×Q₈○M₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4).10C28	448,1351
(C₂×D₄).₁₁C₂₈ = D₄×C₅₆	φ: trivial image	224		(C2xD4).11C28	448,842
(C₂×D₄).₁₂C₂₈ = C₁₄×C₈○D₄	φ: trivial image	224		(C2xD4).12C28	448,1350

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