Extensions 1→N→G→Q→1 with N=C₇×C₈○D₄ and Q=C₂

Direct product G=N×Q with N=C₇×C₈○D₄ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₈○D₄		224		C14xC8oD4	448,1350

Semidirect products G=N:Q with N=C₇×C₈○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₈○D₄)⋊₁C₂ = D₄.₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):1C2	448,675
(C₇×C₈○D₄)⋊₂C₂ = D₄.₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4+	(C7xC8oD4):2C2	448,676
(C₇×C₈○D₄)⋊₃C₂ = D₄.₁₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):3C2	448,1204
(C₇×C₈○D₄)⋊₄C₂ = D₄.₁₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4+	(C7xC8oD4):4C2	448,1205
(C₇×C₈○D₄)⋊₅C₂ = D₄.₁₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	224	4-	(C7xC8oD4):5C2	448,1206
(C₇×C₈○D₄)⋊₆C₂ = C₅₆.₉₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):6C2	448,678
(C₇×C₈○D₄)⋊₇C₂ = C₅₆.₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):7C2	448,679
(C₇×C₈○D₄)⋊₈C₂ = D₇×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):8C2	448,1202
(C₇×C₈○D₄)⋊₉C₂ = C₅₆.₄₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):9C2	448,1203
(C₇×C₈○D₄)⋊₁₀C₂ = C₇×D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):10C2	448,879
(C₇×C₈○D₄)⋊₁₁C₂ = C₇×D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):11C2	448,880
(C₇×C₈○D₄)⋊₁₂C₂ = C₇×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):12C2	448,1359
(C₇×C₈○D₄)⋊₁₃C₂ = C₇×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):13C2	448,1360
(C₇×C₈○D₄)⋊₁₄C₂ = C₇×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	224	4	(C7xC8oD4):14C2	448,1361
(C₇×C₈○D₄)⋊₁₅C₂ = C₇×C₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	2	(C7xC8oD4):15C2	448,851
(C₇×C₈○D₄)⋊₁₆C₂ = C₇×C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):16C2	448,852
(C₇×C₈○D₄)⋊₁₇C₂ = C₇×Q₈○M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	112	4	(C7xC8oD4):17C2	448,1351

Non-split extensions G=N.Q with N=C₇×C₈○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₈○D₄).₁C₂ = D₄.₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	224	4-	(C7xC8oD4).1C2	448,677
(C₇×C₈○D₄).₂C₂ = C₅₆.₉₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	224	4	(C7xC8oD4).2C2	448,118
(C₇×C₈○D₄).₃C₂ = C₅₆.₇₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	224	4	(C7xC8oD4).3C2	448,674
(C₇×C₈○D₄).₄C₂ = C₇×D₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	224	4	(C7xC8oD4).4C2	448,881
(C₇×C₈○D₄).₅C₂ = C₇×D₄.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₈○D₄	224	2	(C7xC8oD4).5C2	448,154
(C₇×C₈○D₄).₆C₂ = C₇×D₄○C₁₆	φ: trivial image	224	2	(C7xC8oD4).6C2	448,912

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