Extensions 1→N→G→Q→1 with N=C₇×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₇×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄○D₄		112		C14xC4oD4	224,192

Semidirect products G=N:Q with N=C₇×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₄)⋊₁C₂ = D₄⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	56	4+	(C7xC4oD4):1C2	224,144
(C₇×C₄○D₄)⋊₂C₂ = D₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):2C2	224,145
(C₇×C₄○D₄)⋊₃C₂ = D₇×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	56	4	(C7xC4oD4):3C2	224,184
(C₇×C₄○D₄)⋊₄C₂ = D₄⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	56	4+	(C7xC4oD4):4C2	224,185
(C₇×C₄○D₄)⋊₅C₂ = D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	112	4-	(C7xC4oD4):5C2	224,186
(C₇×C₄○D₄)⋊₆C₂ = C₇×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	112	2	(C7xC4oD4):6C2	224,170
(C₇×C₄○D₄)⋊₇C₂ = C₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	56	4	(C7xC4oD4):7C2	224,171
(C₇×C₄○D₄)⋊₈C₂ = C₇×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	56	4	(C7xC4oD4):8C2	224,193
(C₇×C₄○D₄)⋊₉C₂ = C₇×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):9C2	224,194

Non-split extensions G=N.Q with N=C₇×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₄).₁C₂ = D₄⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	56	4	(C7xC4oD4).1C2	224,43
(C₇×C₄○D₄).₂C₂ = Q₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).2C2	224,143
(C₇×C₄○D₄).₃C₂ = D₄.₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	112	4-	(C7xC4oD4).3C2	224,146
(C₇×C₄○D₄).₄C₂ = C₇×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	56	2	(C7xC4oD4).4C2	224,53
(C₇×C₄○D₄).₅C₂ = C₇×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).5C2	224,172
(C₇×C₄○D₄).₆C₂ = C₇×C₈○D₄	φ: trivial image	112	2	(C7xC4oD4).6C2	224,166

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