Extensions 1→N→G→Q→1 with N=D₄⋊₆D₁₄ and Q=C₂

Direct product G=N×Q with N=D₄⋊₆D₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₆D₁₄		112		C2xD4:6D14	448,1371

Semidirect products G=N:Q with N=D₄⋊₆D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₆D₁₄⋊₁C₂ = C₂³⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	56	8+	D4:6D14:1C2	448,275
D₄⋊₆D₁₄⋊₂C₂ = D₂₈⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	56	8+	D4:6D14:2C2	448,281
D₄⋊₆D₁₄⋊₃C₂ = C₂⁴⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	56	4	D4:6D14:3C2	448,566
D₄⋊₆D₁₄⋊₄C₂ = D₂₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	56	4	D4:6D14:4C2	448,611
D₄⋊₆D₁₄⋊₅C₂ = D₈⋊₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	4	D4:6D14:5C2	448,1210
D₄⋊₆D₁₄⋊₆C₂ = D₂₈.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	4	D4:6D14:6C2	448,1215
D₄⋊₆D₁₄⋊₇C₂ = D₈⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	8+	D4:6D14:7C2	448,1227
D₄⋊₆D₁₄⋊₈C₂ = D₈⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	8-	D4:6D14:8C2	448,1228
D₄⋊₆D₁₄⋊₉C₂ = D₇×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	56	8+	D4:6D14:9C2	448,1379
D₄⋊₆D₁₄⋊₁₀C₂ = D₁₄.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	8-	D4:6D14:10C2	448,1380
D₄⋊₆D₁₄⋊₁₁C₂ = C₁₄.C₂⁵	φ: trivial image	112	4	D4:6D14:11C2	448,1378

Non-split extensions G=N.Q with N=D₄⋊₆D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₆D₁₄.₁C₂ = C₂³.₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	8-	D4:6D14.1C2	448,276
D₄⋊₆D₁₄.₂C₂ = D₂₈.₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	8-	D4:6D14.2C2	448,280
D₄⋊₆D₁₄.₃C₂ = C₂²⋊C₄⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	4	D4:6D14.3C2	448,587
D₄⋊₆D₁₄.₄C₂ = C₄²⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₁₄	112	4	D4:6D14.4C2	448,595

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