Extensions 1→N→G→Q→1 with N=C₇×C₄≀C₂ and Q=C₂

Direct product G=N×Q with N=C₇×C₄≀C₂ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄≀C₂		112		C14xC4wrC2	448,828

Semidirect products G=N:Q with N=C₇×C₄≀C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄≀C₂)⋊₁C₂ = D₄⋊₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	56	4+	(C7xC4wrC2):1C2	448,356
(C₇×C₄≀C₂)⋊₂C₂ = M₄(2)⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):2C2	448,359
(C₇×C₄≀C₂)⋊₃C₂ = D₄.₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4-	(C7xC4wrC2):3C2	448,360
(C₇×C₄≀C₂)⋊₄C₂ = D₄.₁₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):4C2	448,361
(C₇×C₄≀C₂)⋊₅C₂ = D₇×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	56	4	(C7xC4wrC2):5C2	448,354
(C₇×C₄≀C₂)⋊₆C₂ = C₄²⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):6C2	448,355
(C₇×C₄≀C₂)⋊₇C₂ = M₄(2).₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):7C2	448,357
(C₇×C₄≀C₂)⋊₈C₂ = C₄².₁₉₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):8C2	448,358
(C₇×C₄≀C₂)⋊₉C₂ = C₇×D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	56	4	(C7xC4wrC2):9C2	448,861
(C₇×C₄≀C₂)⋊₁₀C₂ = C₇×D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):10C2	448,862
(C₇×C₄≀C₂)⋊₁₁C₂ = C₇×D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):11C2	448,863
(C₇×C₄≀C₂)⋊₁₂C₂ = C₇×D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):12C2	448,864
(C₇×C₄≀C₂)⋊₁₃C₂ = C₇×C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):13C2	448,829
(C₇×C₄≀C₂)⋊₁₄C₂ = C₇×C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄≀C₂	112	4	(C7xC4wrC2):14C2	448,852
(C₇×C₄≀C₂)⋊₁₅C₂ = C₇×C₈○D₈	φ: trivial image	112	2	(C7xC4wrC2):15C2	448,851

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