Extensions 1→N→G→Q→1 with N=Q₈.Dic₇ and Q=C₂

Direct product G=N×Q with N=Q₈.Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.Dic₇		224		C2xQ8.Dic7	448,1271

Semidirect products G=N:Q with N=Q₈.Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.Dic₇⋊₁C₂ = M₄(2).₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	4	Q8.Dic7:1C2	448,357
Q₈.Dic₇⋊₂C₂ = C₄².₁₉₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	4	Q8.Dic7:2C2	448,358
Q₈.Dic₇⋊₃C₂ = D₈⋊₅Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	4	Q8.Dic7:3C2	448,730
Q₈.Dic₇⋊₄C₂ = D₈⋊₄Dic₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	4	Q8.Dic7:4C2	448,731
Q₈.Dic₇⋊₅C₂ = M₄(2).D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	8+	Q8.Dic7:5C2	448,733
Q₈.Dic₇⋊₆C₂ = M₄(2).₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	8-	Q8.Dic7:6C2	448,734
Q₈.Dic₇⋊₇C₂ = M₄(2).₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	8+	Q8.Dic7:7C2	448,737
Q₈.Dic₇⋊₈C₂ = C₅₆.₄₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	4	Q8.Dic7:8C2	448,1203
Q₈.Dic₇⋊₉C₂ = C₂₈.₇₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	4	Q8.Dic7:9C2	448,1272
Q₈.Dic₇⋊₁₀C₂ = D₂₈.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	8+	Q8.Dic7:10C2	448,1288
Q₈.Dic₇⋊₁₁C₂ = D₂₈.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	8-	Q8.Dic7:11C2	448,1289
Q₈.Dic₇⋊₁₂C₂ = D₂₈.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	112	8+	Q8.Dic7:12C2	448,1290
Q₈.Dic₇⋊₁₃C₂ = D₂₈.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	224	8-	Q8.Dic7:13C2	448,1291
Q₈.Dic₇⋊₁₄C₂ = D₇×C₈○D₄	φ: trivial image	112	4	Q8.Dic7:14C2	448,1202

Non-split extensions G=N.Q with N=Q₈.Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.Dic₇.C₂ = M₄(2).₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.Dic₇	224	8-	Q8.Dic7.C2	448,738

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