Extensions 1→N→G→Q→1 with N=C₂³×C₄ and Q=C₁₄

Direct product G=N×Q with N=C₂³×C₄ and Q=C₁₄

		d	ρ	Label	ID
C₂⁴×C₂₈		448		C2^4xC28	448,1385

Semidirect products G=N:Q with N=C₂³×C₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₄)⋊C₁₄ = D₄×F₈	φ: C₁₄/C₁ → C₁₄ ⊆ Aut C₂³×C₄	28	14+	(C2^3xC4):C14	448,1363
(C₂³×C₄)⋊₂C₁₄ = C₂×C₄×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂³×C₄	56		(C2^3xC4):2C14	448,1362
(C₂³×C₄)⋊₃C₁₄ = C₇×C₂³.₂₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4):3C14	448,794
(C₂³×C₄)⋊₄C₁₄ = C₂²⋊C₄×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4):4C14	448,1295
(C₂³×C₄)⋊₅C₁₄ = D₄×C₂×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4):5C14	448,1298
(C₂³×C₄)⋊₆C₁₄ = C₁₄×C₂².D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4):6C14	448,1307
(C₂³×C₄)⋊₇C₁₄ = C₁₄×C₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4):7C14	448,1305
(C₂³×C₄)⋊₈C₁₄ = C₇×C₂².₁₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	112		(C2^3xC4):8C14	448,1308
(C₂³×C₄)⋊₉C₁₄ = D₄×C₂²×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4):9C14	448,1386
(C₂³×C₄)⋊₁₀C₁₄ = C₄○D₄×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4):10C14	448,1388

Non-split extensions G=N.Q with N=C₂³×C₄ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₄).C₁₄ = Q₈×F₈	φ: C₁₄/C₁ → C₁₄ ⊆ Aut C₂³×C₄	56	14-	(C2^3xC4).C14	448,1364
(C₂³×C₄).₂C₁₄ = C₈×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂³×C₄	56	7	(C2^3xC4).2C14	448,919
(C₂³×C₄).₃C₁₄ = C₁₄×C₂.C₄²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	448		(C2^3xC4).3C14	448,783
(C₂³×C₄).₄C₁₄ = C₂²⋊C₄×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).4C14	448,785
(C₂³×C₄).₅C₁₄ = C₇×C₂³.₃₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).5C14	448,789
(C₂³×C₄).₆C₁₄ = C₇×C₂³.₈Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).6C14	448,793
(C₂³×C₄).₇C₁₄ = C₁₄×C₂²⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).7C14	448,814
(C₂³×C₄).₈C₁₄ = C₄⋊C₄×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	448		(C2^3xC4).8C14	448,1296
(C₂³×C₄).₉C₁₄ = C₇×C₂³.₇Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).9C14	448,788
(C₂³×C₄).₁₀C₁₄ = C₇×C₂⁴.₄C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	112		(C2^3xC4).10C14	448,815
(C₂³×C₄).₁₁C₁₄ = C₁₄×C₄²⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).11C14	448,1297
(C₂³×C₄).₁₂C₁₄ = C₁₄×C₂²⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).12C14	448,1306
(C₂³×C₄).₁₃C₁₄ = M₄(2)×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	224		(C2^3xC4).13C14	448,1349
(C₂³×C₄).₁₄C₁₄ = Q₈×C₂²×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³×C₄	448		(C2^3xC4).14C14	448,1387

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