Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=C₁₄

Direct product G=N×Q with N=C₂×C₄² and Q=C₁₄

		d	ρ	Label	ID
C₂²×C₄×C₂₈		448		C2^2xC4xC28	448,1294

Semidirect products G=N:Q with N=C₂×C₄² and Q=C₁₄

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₄²)⋊₁C₁₄ = C₂²⋊C₄×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):1C14	448,785
(C₂×C₄²)⋊₂C₁₄ = C₇×C₂⁴.C₂²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):2C14	448,796
(C₂×C₄²)⋊₃C₁₄ = C₁₄×C₄²⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):3C14	448,1297
(C₂×C₄²)⋊₄C₁₄ = C₁₄×C₄²⋊₂C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):4C14	448,1311
(C₂×C₄²)⋊₅C₁₄ = C₇×C₂⁴.₃C₂²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):5C14	448,798
(C₂×C₄²)⋊₆C₁₄ = C₁₄×C₄≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	112	(C2xC4^2):6C14	448,828
(C₂×C₄²)⋊₇C₁₄ = D₄×C₂×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):7C14	448,1298
(C₂×C₄²)⋊₈C₁₄ = C₄○D₄×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):8C14	448,1300
(C₂×C₄²)⋊₉C₁₄ = C₁₄×C₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):9C14	448,1309
(C₂×C₄²)⋊₁₀C₁₄ = C₇×C₂³.₃₆C₂³	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):10C14	448,1312
(C₂×C₄²)⋊₁₁C₁₄ = C₁₄×C₄⋊₁D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):11C14	448,1313
(C₂×C₄²)⋊₁₂C₁₄ = C₇×C₂².₂₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2):12C14	448,1315

Non-split extensions G=N.Q with N=C₂×C₄² and Q=C₁₄

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₄²).₁C₁₄ = C₇×C₂².₇C₄²	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).1C14	448,140
(C₂×C₄²).₂C₁₄ = C₇×C₄²⋊₄C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).2C14	448,784
(C₂×C₄²).₃C₁₄ = C₄⋊C₄×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).3C14	448,786
(C₂×C₄²).₄C₁₄ = C₇×C₄²⋊₅C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).4C14	448,791
(C₂×C₄²).₅C₁₄ = C₇×C₂³.₆₃C₂³	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).5C14	448,795
(C₂×C₄²).₆C₁₄ = C₁₄×C₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).6C14	448,811
(C₂×C₄²).₇C₁₄ = C₇×C₄²⋊₆C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	112	(C2xC4^2).7C14	448,143
(C₂×C₄²).₈C₁₄ = C₇×C₄²⋊₈C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).8C14	448,790
(C₂×C₄²).₉C₁₄ = C₇×C₄²⋊₉C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).9C14	448,792
(C₂×C₄²).₁₀C₁₄ = C₇×C₂³.₆₅C₂³	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).10C14	448,797
(C₂×C₄²).₁₁C₁₄ = C₇×C₂³.₆₇C₂³	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).11C14	448,799
(C₂×C₄²).₁₂C₁₄ = M₄(2)×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2).12C14	448,812
(C₂×C₄²).₁₃C₁₄ = C₁₄×C₄⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).13C14	448,830
(C₂×C₄²).₁₄C₁₄ = C₇×C₄⋊M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2).14C14	448,831
(C₂×C₄²).₁₅C₁₄ = C₇×C₄².₁₂C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2).15C14	448,839
(C₂×C₄²).₁₆C₁₄ = C₇×C₄².₆C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2).16C14	448,840
(C₂×C₄²).₁₇C₁₄ = Q₈×C₂×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).17C14	448,1299
(C₂×C₄²).₁₈C₁₄ = C₁₄×C₄².C₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).18C14	448,1310
(C₂×C₄²).₁₉C₁₄ = C₁₄×C₄⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	448	(C2xC4^2).19C14	448,1314
(C₂×C₄²).₂₀C₁₄ = C₇×C₂³.₃₇C₂³	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₄²	224	(C2xC4^2).20C14	448,1316

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Extensions 1→N→G→Q→1 with N=C2×C42 and Q=C14

Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=C₁₄