Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=C₁₄

Direct product G=N×Q with N=C₄×D₄ and Q=C₁₄

		d	ρ	Label	ID
D₄×C₂×C₂₈		224		D4xC2xC28	448,1298

Semidirect products G=N:Q with N=C₄×D₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄)⋊₁C₁₄ = D₈×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):1C14	448,845
(C₄×D₄)⋊₂C₁₄ = C₇×D₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):2C14	448,850
(C₄×D₄)⋊₃C₁₄ = C₇×C₄⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):3C14	448,867
(C₄×D₄)⋊₄C₁₄ = C₇×D₄.₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):4C14	448,871
(C₄×D₄)⋊₅C₁₄ = C₇×C₂².₁₁C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):5C14	448,1301
(C₄×D₄)⋊₆C₁₄ = C₇×C₂³.₃₃C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):6C14	448,1303
(C₄×D₄)⋊₇C₁₄ = C₇×C₂².₁₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):7C14	448,1308
(C₄×D₄)⋊₈C₁₄ = C₇×C₂³.₃₆C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):8C14	448,1312
(C₄×D₄)⋊₉C₁₄ = C₇×C₂².₂₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):9C14	448,1315
(C₄×D₄)⋊₁₀C₁₄ = C₇×C₂².₃₂C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):10C14	448,1321
(C₄×D₄)⋊₁₁C₁₄ = C₇×C₂².₃₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):11C14	448,1322
(C₄×D₄)⋊₁₂C₁₄ = C₇×C₂².₃₄C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):12C14	448,1323
(C₄×D₄)⋊₁₃C₁₄ = C₇×C₂².₃₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):13C14	448,1325
(C₄×D₄)⋊₁₄C₁₄ = C₇×D₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):14C14	448,1328
(C₄×D₄)⋊₁₅C₁₄ = C₇×D₄⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):15C14	448,1329
(C₄×D₄)⋊₁₆C₁₄ = C₇×D₄⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):16C14	448,1330
(C₄×D₄)⋊₁₇C₁₄ = C₇×Q₈⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):17C14	448,1331
(C₄×D₄)⋊₁₈C₁₄ = C₇×Q₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):18C14	448,1333
(C₄×D₄)⋊₁₉C₁₄ = C₇×C₂².₄₅C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):19C14	448,1334
(C₄×D₄)⋊₂₀C₁₄ = C₇×C₂².₄₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):20C14	448,1336
(C₄×D₄)⋊₂₁C₁₄ = C₇×C₂².₄₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):21C14	448,1338
(C₄×D₄)⋊₂₂C₁₄ = C₇×C₂².₅₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):22C14	448,1342
(C₄×D₄)⋊₂₃C₁₄ = C₄○D₄×C₂₈	φ: trivial image	224	(C4xD4):23C14	448,1300

Non-split extensions G=N.Q with N=C₄×D₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄).₁C₁₄ = C₇×D₄⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).1C14	448,129
(C₄×D₄).₂C₁₄ = C₇×C₈⋊₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).2C14	448,843
(C₄×D₄).₃C₁₄ = C₇×C₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).3C14	448,844
(C₄×D₄).₄C₁₄ = SD₁₆×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).4C14	448,846
(C₄×D₄).₅C₁₄ = C₇×SD₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).5C14	448,848
(C₄×D₄).₆C₁₄ = C₇×D₄.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).6C14	448,869
(C₄×D₄).₇C₁₄ = C₇×D₄⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).7C14	448,882
(C₄×D₄).₈C₁₄ = C₇×D₄⋊₂Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).8C14	448,884
(C₄×D₄).₉C₁₄ = C₇×D₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).9C14	448,886
(C₄×D₄).₁₀C₁₄ = C₇×D₄×Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).10C14	448,1332
(C₄×D₄).₁₁C₁₄ = C₇×C₂².₄₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).11C14	448,1335
(C₄×D₄).₁₂C₁₄ = C₇×D₄⋊₃Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).12C14	448,1337
(C₄×D₄).₁₃C₁₄ = C₇×C₂².₅₀C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).13C14	448,1339
(C₄×D₄).₁₄C₁₄ = D₄×C₅₆	φ: trivial image	224	(C4xD4).14C14	448,842

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Extensions 1→N→G→Q→1 with N=C4×D4 and Q=C14

Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=C₁₄