Extensions 1→N→G→Q→1 with N=D₄.₁₀D₁₄ and Q=C₂

Direct product G=N×Q with N=D₄.₁₀D₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.₁₀D₁₄		224		C2xD4.10D14	448,1377

Semidirect products G=N:Q with N=D₄.₁₀D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁₀D₁₄⋊₁C₂ = D₄.₁₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	4	D4.10D14:1C2	448,361
D₄.₁₀D₁₄⋊₂C₂ = D₂₈.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	8-	D4.10D14:2C2	448,735
D₄.₁₀D₁₄⋊₃C₂ = D₄.₁₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	4	D4.10D14:3C2	448,1204
D₄.₁₀D₁₄⋊₄C₂ = D₄.₁₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	224	4-	D4.10D14:4C2	448,1206
D₄.₁₀D₁₄⋊₅C₂ = D₈⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	4	D4.10D14:5C2	448,1223
D₄.₁₀D₁₄⋊₆C₂ = D₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	224	4-	D4.10D14:6C2	448,1224
D₄.₁₀D₁₄⋊₇C₂ = D₈⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	8-	D4.10D14:7C2	448,1228
D₄.₁₀D₁₄⋊₈C₂ = D₂₈.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	224	8-	D4.10D14:8C2	448,1232
D₄.₁₀D₁₄⋊₉C₂ = D₂₈.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	8-	D4.10D14:9C2	448,1289
D₄.₁₀D₁₄⋊₁₀C₂ = D₂₈.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	224	8-	D4.10D14:10C2	448,1291
D₄.₁₀D₁₄⋊₁₁C₂ = D₁₄.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	8-	D4.10D14:11C2	448,1380
D₄.₁₀D₁₄⋊₁₂C₂ = D₇×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	8-	D4.10D14:12C2	448,1381
D₄.₁₀D₁₄⋊₁₃C₂ = C₁₄.C₂⁵	φ: trivial image	112	4	D4.10D14:13C2	448,1378

Non-split extensions G=N.Q with N=D₄.₁₀D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁₀D₁₄.₁C₂ = D₄.₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	4-	D4.10D14.1C2	448,360
D₄.₁₀D₁₄.₂C₂ = D₂₈.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₁₄	112	8-	D4.10D14.2C2	448,739

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