Extensions 1→N→G→Q→1 with N=C₂²×D₄ and Q=C₁₄

Direct product G=N×Q with N=C₂²×D₄ and Q=C₁₄

		d	ρ	Label	ID
D₄×C₂²×C₁₄		224		D4xC2^2xC14	448,1386

Semidirect products G=N:Q with N=C₂²×D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄)⋊₁C₁₄ = C₇×C₂³⋊₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):1C14	448,800
(C₂²×D₄)⋊₂C₁₄ = C₇×C₂²⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):2C14	448,855
(C₂²×D₄)⋊₃C₁₄ = C₁₄×C₂²≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):3C14	448,1304
(C₂²×D₄)⋊₄C₁₄ = C₁₄×C₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):4C14	448,1305
(C₂²×D₄)⋊₅C₁₄ = C₁₄×C₄⋊₁D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):5C14	448,1313
(C₂²×D₄)⋊₆C₁₄ = C₇×C₂³⋊₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):6C14	448,1317
(C₂²×D₄)⋊₇C₁₄ = C₇×C₂².₂₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):7C14	448,1318
(C₂²×D₄)⋊₈C₁₄ = C₇×D₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):8C14	448,1328
(C₂²×D₄)⋊₉C₁₄ = C₇×D₄⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):9C14	448,1329
(C₂²×D₄)⋊₁₀C₁₄ = D₈×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4):10C14	448,1352
(C₂²×D₄)⋊₁₁C₁₄ = C₁₄×C₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):11C14	448,1356
(C₂²×D₄)⋊₁₂C₁₄ = C₁₄×2₊¹⁺⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4):12C14	448,1389
(C₂²×D₄)⋊₁₃C₁₄ = C₄○D₄×C₂×C₁₄	φ: trivial image	224		(C2^2xD4):13C14	448,1388

Non-split extensions G=N.Q with N=C₂²×D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄).₁C₁₄ = C₇×C₂³.₂₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).1C14	448,794
(C₂²×D₄).₂C₁₄ = C₇×C₂⁴.₃C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).2C14	448,798
(C₂²×D₄).₃C₁₄ = C₇×C₂³.₁₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).3C14	448,802
(C₂²×D₄).₄C₁₄ = C₁₄×C₂³⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).4C14	448,817
(C₂²×D₄).₅C₁₄ = C₁₄×C₄.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).5C14	448,819
(C₂²×D₄).₆C₁₄ = C₁₄×D₄⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).6C14	448,822
(C₂²×D₄).₇C₁₄ = C₇×C₂³.₃₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).7C14	448,826
(C₂²×D₄).₈C₁₄ = C₇×C₂²⋊SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).8C14	448,858
(C₂²×D₄).₉C₁₄ = C₇×C₂².₁₁C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	112		(C2^2xD4).9C14	448,1301
(C₂²×D₄).₁₀C₁₄ = C₁₄×C₂².D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).10C14	448,1307
(C₂²×D₄).₁₁C₁₄ = C₁₄×C₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).11C14	448,1309
(C₂²×D₄).₁₂C₁₄ = SD₁₆×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂²×D₄	224		(C2^2xD4).12C14	448,1353
(C₂²×D₄).₁₃C₁₄ = D₄×C₂×C₂₈	φ: trivial image	224		(C2^2xD4).13C14	448,1298

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