Extensions 1→N→G→Q→1 with N=C₇×C₄○D₄ and Q=C₄

Direct product G=N×Q with N=C₇×C₄○D₄ and Q=C₄

		d	ρ	Label	ID
C₄○D₄×C₂₈		224		C4oD4xC28	448,1300

Semidirect products G=N:Q with N=C₇×C₄○D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₄)⋊₁C₄ = C₄○D₄⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):1C4	448,766
(C₇×C₄○D₄)⋊₂C₄ = C₂₈.(C₂×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):2C4	448,767
(C₇×C₄○D₄)⋊₃C₄ = C₂×D₄⋊₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4):3C4	448,769
(C₇×C₄○D₄)⋊₄C₄ = (D₄×C₁₄)⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):4C4	448,770
(C₇×C₄○D₄)⋊₅C₄ = C₄○D₄×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):5C4	448,1279
(C₇×C₄○D₄)⋊₆C₄ = C₁₄.₁₀₆2_-¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):6C4	448,1280
(C₇×C₄○D₄)⋊₇C₄ = C₇×C₂³.₂₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):7C4	448,824
(C₇×C₄○D₄)⋊₈C₄ = C₇×C₂³.₃₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):8C4	448,825
(C₇×C₄○D₄)⋊₉C₄ = C₁₄×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4):9C4	448,828
(C₇×C₄○D₄)⋊₁₀C₄ = C₇×C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):10C4	448,829
(C₇×C₄○D₄)⋊₁₁C₄ = C₇×C₂³.₃₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):11C4	448,1303

Non-split extensions G=N.Q with N=C₇×C₄○D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₄).₁C₄ = C₅₆.₉₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224	4	(C7xC4oD4).1C4	448,118
(C₇×C₄○D₄).₂C₄ = C₅₆.₇₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224	4	(C7xC4oD4).2C4	448,674
(C₇×C₄○D₄).₃C₄ = C₂×Q₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4).3C4	448,1271
(C₇×C₄○D₄).₄C₄ = C₂₈.₇₆C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).4C4	448,1272
(C₇×C₄○D₄).₅C₄ = C₇×D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224	2	(C7xC4oD4).5C4	448,154
(C₇×C₄○D₄).₆C₄ = C₇×Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).6C4	448,1351
(C₇×C₄○D₄).₇C₄ = C₇×D₄○C₁₆	φ: trivial image	224	2	(C7xC4oD4).7C4	448,912
(C₇×C₄○D₄).₈C₄ = C₁₄×C₈○D₄	φ: trivial image	224		(C7xC4oD4).8C4	448,1350

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