Extensions 1→N→G→Q→1 with N=C₈⋊D₁₄ and Q=C₂

Direct product G=N×Q with N=C₈⋊D₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₈⋊D₁₄		112		C2xC8:D14	448,1199

Semidirect products G=N:Q with N=C₈⋊D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₁₄⋊₁C₂ = D₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	56	8+	C8:D14:1C2	448,1225
C₈⋊D₁₄⋊₂C₂ = D₈⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	8+	C8:D14:2C2	448,1227
C₈⋊D₁₄⋊₃C₂ = D₅₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	8+	C8:D14:3C2	448,1230
C₈⋊D₁₄⋊₄C₂ = C₅₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	8+	C8:D14:4C2	448,1231
C₈⋊D₁₄⋊₅C₂ = D₂₈⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	56	8+	C8:D14:5C2	448,281
C₈⋊D₁₄⋊₆C₂ = D₂₈.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	8+	C8:D14:6C2	448,283
C₈⋊D₁₄⋊₇C₂ = D₂₈.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	8+	C8:D14:7C2	448,287
C₈⋊D₁₄⋊₈C₂ = D₄⋊₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	56	4+	C8:D14:8C2	448,356
C₈⋊D₁₄⋊₉C₂ = D₄.₁₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	4	C8:D14:9C2	448,361
C₈⋊D₁₄⋊₁₀C₂ = C₈.₂₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	4+	C8:D14:10C2	448,431
C₈⋊D₁₄⋊₁₁C₂ = D₄.₁₁D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	4	C8:D14:11C2	448,1204
C₈⋊D₁₄⋊₁₂C₂ = D₄.₁₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	4+	C8:D14:12C2	448,1205
C₈⋊D₁₄⋊₁₃C₂ = C₅₆.₉C₂³	φ: trivial image	112	4	C8:D14:13C2	448,1201

Non-split extensions G=N.Q with N=C₈⋊D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₁₄.₁C₂ = D₂₈.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	8+	C8:D14.1C2	448,288
C₈⋊D₁₄.₂C₂ = C₈.₂₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊D₁₄	112	4	C8:D14.2C2	448,432

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