Extensions 1→N→G→Q→1 with N=Q₈.₁₀D₁₄ and Q=C₂

Direct product G=N×Q with N=Q₈.₁₀D₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.₁₀D₁₄		224		C2xQ8.10D14	448,1374

Semidirect products G=N:Q with N=Q₈.₁₀D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₀D₁₄⋊₁C₂ = D₂₈.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	8+	Q8.10D14:1C2	448,287
Q₈.₁₀D₁₄⋊₂C₂ = D₂₈.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	4	Q8.10D14:2C2	448,596
Q₈.₁₀D₁₄⋊₃C₂ = D₂₈.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	4	Q8.10D14:3C2	448,1215
Q₈.₁₀D₁₄⋊₄C₂ = D₂₈.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	224	4	Q8.10D14:4C2	448,1219
Q₈.₁₀D₁₄⋊₅C₂ = C₅₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	8+	Q8.10D14:5C2	448,1231
Q₈.₁₀D₁₄⋊₆C₂ = D₂₈.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	224	8-	Q8.10D14:6C2	448,1232
Q₈.₁₀D₁₄⋊₇C₂ = D₇×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	8-	Q8.10D14:7C2	448,1381
Q₈.₁₀D₁₄⋊₈C₂ = D₂₈.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	8+	Q8.10D14:8C2	448,1382
Q₈.₁₀D₁₄⋊₉C₂ = C₁₄.C₂⁵	φ: trivial image	112	4	Q8.10D14:9C2	448,1378

Non-split extensions G=N.Q with N=Q₈.₁₀D₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₀D₁₄.₁C₂ = D₂₈.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	8-	Q8.10D14.1C2	448,286
Q₈.₁₀D₁₄.₂C₂ = D₂₈.₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₀D₁₄	112	4	Q8.10D14.2C2	448,629

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁