Extensions 1→N→G→Q→1 with N=Q₈○D₁₂ and Q=C₂

Direct product G=N×Q with N=Q₈○D₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈○D₁₂		96		C2xQ8oD12	192,1522

Semidirect products G=N:Q with N=Q₈○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈○D₁₂⋊₁C₂ = D₄.₁₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	4	Q8oD12:1C2	192,386
Q₈○D₁₂⋊₂C₂ = D₁₂.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	8-	Q8oD12:2C2	192,760
Q₈○D₁₂⋊₃C₂ = D₄.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	4	Q8oD12:3C2	192,1310
Q₈○D₁₂⋊₄C₂ = D₄.₁₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	96	4-	Q8oD12:4C2	192,1312
Q₈○D₁₂⋊₅C₂ = D₈⋊₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	4	Q8oD12:5C2	192,1329
Q₈○D₁₂⋊₆C₂ = D₈.₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	96	4-	Q8oD12:6C2	192,1330
Q₈○D₁₂⋊₇C₂ = D₈⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	8-	Q8oD12:7C2	192,1334
Q₈○D₁₂⋊₈C₂ = SD₁₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	96	8-	Q8oD12:8C2	192,1338
Q₈○D₁₂⋊₉C₂ = D₁₂.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	8-	Q8oD12:9C2	192,1395
Q₈○D₁₂⋊₁₀C₂ = D₁₂.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	96	8-	Q8oD12:10C2	192,1397
Q₈○D₁₂⋊₁₁C₂ = D₆.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	8-	Q8oD12:11C2	192,1525
Q₈○D₁₂⋊₁₂C₂ = S₃×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	8-	Q8oD12:12C2	192,1526
Q₈○D₁₂⋊₁₃C₂ = C₆.C₂⁵	φ: trivial image	48	4	Q8oD12:13C2	192,1523

Non-split extensions G=N.Q with N=Q₈○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈○D₁₂.₁C₂ = Q₈.₁₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	4-	Q8oD12.1C2	192,385
Q₈○D₁₂.₂C₂ = D₁₂.₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈○D₁₂	48	8-	Q8oD12.2C2	192,764

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