Extensions 1→N→G→Q→1 with N=D₇×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=D₇×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₇×C₄○D₄		112		C2xD7xC4oD4	448,1375

Semidirect products G=N:Q with N=D₇×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₄○D₄)⋊₁C₂ = D₇×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	4	(D7xC4oD4):1C2	448,1220
(D₇×C₄○D₄)⋊₂C₂ = D₈⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	4	(D7xC4oD4):2C2	448,1221
(D₇×C₄○D₄)⋊₃C₂ = D₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	56	8+	(D7xC4oD4):3C2	448,1225
(D₇×C₄○D₄)⋊₄C₂ = SD₁₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	8-	(D7xC4oD4):4C2	448,1226
(D₇×C₄○D₄)⋊₅C₂ = D₅₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	8+	(D7xC4oD4):5C2	448,1230
(D₇×C₄○D₄)⋊₆C₂ = C₁₄.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	4	(D7xC4oD4):6C2	448,1378
(D₇×C₄○D₄)⋊₇C₂ = D₇×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	56	8+	(D7xC4oD4):7C2	448,1379
(D₇×C₄○D₄)⋊₈C₂ = D₁₄.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	8-	(D7xC4oD4):8C2	448,1380
(D₇×C₄○D₄)⋊₉C₂ = D₇×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	8-	(D7xC4oD4):9C2	448,1381
(D₇×C₄○D₄)⋊₁₀C₂ = D₂₈.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	8+	(D7xC4oD4):10C2	448,1382

Non-split extensions G=N.Q with N=D₇×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₄○D₄).₁C₂ = D₇×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	56	4	(D7xC4oD4).1C2	448,354
(D₇×C₄○D₄).₂C₂ = C₄²⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	4	(D7xC4oD4).2C2	448,355
(D₇×C₄○D₄).₃C₂ = C₅₆.₄₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	4	(D7xC4oD4).3C2	448,1203
(D₇×C₄○D₄).₄C₂ = D₇×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄○D₄	112	8-	(D7xC4oD4).4C2	448,1229
(D₇×C₄○D₄).₅C₂ = D₇×C₈○D₄	φ: trivial image	112	4	(D7xC4oD4).5C2	448,1202

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