Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₂⁴

Direct product G=N×Q with N=D₁₄ and Q=C₂⁴

		d	ρ	Label	ID
D₇×C₂⁵		224		D7xC2^5	448,1395

Semidirect products G=N:Q with N=D₁₄ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁C₂⁴ = C₂³×D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	224		D14:1C2^4	448,1367
D₁₄⋊₂C₂⁴ = C₂²×D₄×D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	112		D14:2C2^4	448,1369
D₁₄⋊₃C₂⁴ = C₂³×C₇⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	224		D14:3C2^4	448,1384

Non-split extensions G=N.Q with N=D₁₄ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁C₂⁴ = C₂²×C₄○D₂₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	224		D14.1C2^4	448,1368
D₁₄.₂C₂⁴ = C₂²×D₄⋊₂D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	224		D14.2C2^4	448,1370
D₁₄.₃C₂⁴ = C₂×D₄⋊₆D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	112		D14.3C2^4	448,1371
D₁₄.₄C₂⁴ = C₂²×Q₈⋊₂D₇	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	224		D14.4C2^4	448,1373
D₁₄.₅C₂⁴ = C₂×Q₈.₁₀D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	224		D14.5C2^4	448,1374
D₁₄.₆C₂⁴ = C₂×D₄⋊₈D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	112		D14.6C2^4	448,1376
D₁₄.₇C₂⁴ = C₂×D₄.₁₀D₁₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	224		D14.7C2^4	448,1377
D₁₄.₈C₂⁴ = C₁₄.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	112	4	D14.8C2^4	448,1378
D₁₄.₉C₂⁴ = D₁₄.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	112	8-	D14.9C2^4	448,1380
D₁₄.₁₀C₂⁴ = D₂₈.₃₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₁₄	112	8+	D14.10C2^4	448,1382
D₁₄.₁₁C₂⁴ = D₇×C₂³×C₄	φ: trivial image	224		D14.11C2^4	448,1366
D₁₄.₁₂C₂⁴ = C₂²×Q₈×D₇	φ: trivial image	224		D14.12C2^4	448,1372
D₁₄.₁₃C₂⁴ = C₂×D₇×C₄○D₄	φ: trivial image	112		D14.13C2^4	448,1375
D₁₄.₁₄C₂⁴ = D₇×2₊¹⁺⁴	φ: trivial image	56	8+	D14.14C2^4	448,1379
D₁₄.₁₅C₂⁴ = D₇×2_-¹⁺⁴	φ: trivial image	112	8-	D14.15C2^4	448,1381

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