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		112		C2xD4:8D14	448,1376

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₈D₁₄⋊₁C₂ = D₄⋊₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	56	4+	D4:8D14:1C2	448,356
D₄⋊₈D₁₄⋊₂C₂ = D₂₈⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	56	8+	D4:8D14:2C2	448,732
D₄⋊₈D₁₄⋊₃C₂ = D₄.₁₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	4	D4:8D14:3C2	448,1204
D₄⋊₈D₁₄⋊₄C₂ = D₄.₁₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	4+	D4:8D14:4C2	448,1205
D₄⋊₈D₁₄⋊₅C₂ = D₈⋊₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	4+	D4:8D14:5C2	448,1222
D₄⋊₈D₁₄⋊₆C₂ = D₈⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	4	D4:8D14:6C2	448,1223
D₄⋊₈D₁₄⋊₇C₂ = D₈⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	8+	D4:8D14:7C2	448,1227
D₄⋊₈D₁₄⋊₈C₂ = C₅₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	8+	D4:8D14:8C2	448,1231
D₄⋊₈D₁₄⋊₉C₂ = D₂₈.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	8+	D4:8D14:9C2	448,1288
D₄⋊₈D₁₄⋊₁₀C₂ = D₂₈.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	8+	D4:8D14:10C2	448,1290
D₄⋊₈D₁₄⋊₁₁C₂ = D₇×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	56	8+	D4:8D14:11C2	448,1379
D₄⋊₈D₁₄⋊₁₂C₂ = D₂₈.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	8+	D4:8D14:12C2	448,1382
D₄⋊₈D₁₄⋊₁₃C₂ = C₁₄.C₂⁵	φ: trivial image	112	4	D4:8D14:13C2	448,1378

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)⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	4	D4:8D14.1C2	448,359
D₄⋊₈D₁₄.₂C₂ = D₂₈.₃₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₈D₁₄	112	8+	D4:8D14.2C2	448,736

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