Extensions 1→N→G→Q→1 with N=Q₈.₁₄D₆ and Q=C₂

Direct product G=N×Q with N=Q₈.₁₄D₆ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.₁₄D₆		96		C2xQ8.14D6	192,1382

Semidirect products G=N:Q with N=Q₈.₁₄D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₄D₆⋊₁C₂ = C₄²⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	4	Q8.14D6:1C2	192,384
Q₈.₁₄D₆⋊₂C₂ = Q₈.₁₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	4-	Q8.14D6:2C2	192,385
Q₈.₁₄D₆⋊₃C₂ = Q₈.₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	4	Q8.14D6:3C2	192,700
Q₈.₁₄D₆⋊₄C₂ = M₄(2).₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	8-	Q8.14D6:4C2	192,759
Q₈.₁₄D₆⋊₅C₂ = 2₊¹⁺⁴.₄S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	8-	Q8.14D6:5C2	192,801
Q₈.₁₄D₆⋊₆C₂ = 2_-¹⁺⁴.₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	8-	Q8.14D6:6C2	192,805
Q₈.₁₄D₆⋊₇C₂ = D₈⋊₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	4	Q8.14D6:7C2	192,1329
Q₈.₁₄D₆⋊₈C₂ = D₈.₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	96	4-	Q8.14D6:8C2	192,1330
Q₈.₁₄D₆⋊₉C₂ = D₈⋊₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	8-	Q8.14D6:9C2	192,1332
Q₈.₁₄D₆⋊₁₀C₂ = S₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	8-	Q8.14D6:10C2	192,1335
Q₈.₁₄D₆⋊₁₁C₂ = D₁₂.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	48	8-	Q8.14D6:11C2	192,1395
Q₈.₁₄D₆⋊₁₂C₂ = D₁₂.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	96	8-	Q8.14D6:12C2	192,1397
Q₈.₁₄D₆⋊₁₃C₂ = C₁₂.C₂⁴	φ: trivial image	48	4	Q8.14D6:13C2	192,1381

Non-split extensions G=N.Q with N=Q₈.₁₄D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₄D₆.₁C₂ = Q₈.₁₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	96	4-	Q8.14D6.1C2	192,702
Q₈.₁₄D₆.₂C₂ = M₄(2).₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₄D₆	96	8-	Q8.14D6.2C2	192,763

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