Extensions 1→N→G→Q→1 with N=D₄.₈D₁₄ and Q=C₂

Direct product G=N×Q with N=D₄.₈D₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.₈D₁₄		224		C2xD4.8D14	448,1274

Semidirect products G=N:Q with N=D₄.₈D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₈D₁₄⋊₁C₂ = D₇×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	4	D4.8D14:1C2	448,1220
D₄.₈D₁₄⋊₂C₂ = D₈⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	4	D4.8D14:2C2	448,1221
D₄.₈D₁₄⋊₃C₂ = D₈⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	8+	D4.8D14:3C2	448,1227
D₄.₈D₁₄⋊₄C₂ = D₈⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	8-	D4.8D14:4C2	448,1228
D₄.₈D₁₄⋊₅C₂ = C₅₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	8+	D4.8D14:5C2	448,1231
D₄.₈D₁₄⋊₆C₂ = D₂₈.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	224	8-	D4.8D14:6C2	448,1232
D₄.₈D₁₄⋊₇C₂ = C₂₈.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	4	D4.8D14:7C2	448,1275
D₄.₈D₁₄⋊₈C₂ = D₂₈.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	8+	D4.8D14:8C2	448,1288
D₄.₈D₁₄⋊₉C₂ = D₂₈.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	8-	D4.8D14:9C2	448,1289
D₄.₈D₁₄⋊₁₀C₂ = D₂₈.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	8+	D4.8D14:10C2	448,1290
D₄.₈D₁₄⋊₁₁C₂ = D₂₈.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	224	8-	D4.8D14:11C2	448,1291

Non-split extensions G=N.Q with N=D₄.₈D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₈D₁₄.₁C₂ = M₄(2).₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	4	D4.8D14.1C2	448,357
D₄.₈D₁₄.₂C₂ = C₄².₁₉₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	4	D4.8D14.2C2	448,358
D₄.₈D₁₄.₃C₂ = C₅₆.₅₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₁₄	112	4	D4.8D14.3C2	448,679
D₄.₈D₁₄.₄C₂ = C₅₆.₉₃D₄	φ: trivial image	112	4	D4.8D14.4C2	448,678

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