Extensions 1→N→G→Q→1 with N=C₂×C₄○D₄ and Q=C₁₄

Direct product G=N×Q with N=C₂×C₄○D₄ and Q=C₁₄

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₄		224		C4oD4xC2xC14	448,1388

Semidirect products G=N:Q with N=C₂×C₄○D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄)⋊₁C₁₄ = C₇×D₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):1C14	448,857
(C₂×C₄○D₄)⋊₂C₁₄ = C₇×C₂².₁₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):2C14	448,1308
(C₂×C₄○D₄)⋊₃C₁₄ = C₇×C₂².₂₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):3C14	448,1315
(C₂×C₄○D₄)⋊₄C₁₄ = C₇×C₂².₂₉C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):4C14	448,1318
(C₂×C₄○D₄)⋊₅C₁₄ = C₇×C₂².₃₁C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):5C14	448,1320
(C₂×C₄○D₄)⋊₆C₁₄ = C₇×D₄⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):6C14	448,1329
(C₂×C₄○D₄)⋊₇C₁₄ = C₇×D₄⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):7C14	448,1330
(C₂×C₄○D₄)⋊₈C₁₄ = C₇×Q₈⋊₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):8C14	448,1331
(C₂×C₄○D₄)⋊₉C₁₄ = C₇×Q₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):9C14	448,1333
(C₂×C₄○D₄)⋊₁₀C₁₄ = C₁₄×C₄○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):10C14	448,1355
(C₂×C₄○D₄)⋊₁₁C₁₄ = C₁₄×C₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):11C14	448,1356
(C₂×C₄○D₄)⋊₁₂C₁₄ = C₇×D₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4):12C14	448,1358
(C₂×C₄○D₄)⋊₁₃C₁₄ = C₁₄×2₊¹⁺⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4):13C14	448,1389
(C₂×C₄○D₄)⋊₁₄C₁₄ = C₁₄×2_-¹⁺⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4):14C14	448,1390
(C₂×C₄○D₄)⋊₁₅C₁₄ = C₇×C₂.C₂⁵	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4):15C14	448,1391

Non-split extensions G=N.Q with N=C₂×C₄○D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄).₁C₁₄ = C₇×(C₂²×C₈)⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).1C14	448,816
(C₂×C₄○D₄).₂C₁₄ = C₇×C₂³.C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).2C14	448,818
(C₂×C₄○D₄).₃C₁₄ = C₇×M₄(2).₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).3C14	448,821
(C₂×C₄○D₄).₄C₁₄ = C₇×C₂³.₂₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).4C14	448,824
(C₂×C₄○D₄).₅C₁₄ = C₇×C₂³.₃₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).5C14	448,825
(C₂×C₄○D₄).₆C₁₄ = C₁₄×C₄≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112		(C2xC4oD4).6C14	448,828
(C₂×C₄○D₄).₇C₁₄ = C₇×C₄²⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).7C14	448,829
(C₂×C₄○D₄).₈C₁₄ = C₇×D₄.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).8C14	448,860
(C₂×C₄○D₄).₉C₁₄ = C₇×C₂³.₃₃C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).9C14	448,1303
(C₂×C₄○D₄).₁₀C₁₄ = C₇×C₂³.₃₈C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).10C14	448,1319
(C₂×C₄○D₄).₁₁C₁₄ = C₇×Q₈○M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	112	4	(C2xC4oD4).11C14	448,1351
(C₂×C₄○D₄).₁₂C₁₄ = C₁₄×C₈.C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×C₄○D₄	224		(C2xC4oD4).12C14	448,1357
(C₂×C₄○D₄).₁₃C₁₄ = C₄○D₄×C₂₈	φ: trivial image	224		(C2xC4oD4).13C14	448,1300
(C₂×C₄○D₄).₁₄C₁₄ = C₁₄×C₈○D₄	φ: trivial image	224		(C2xC4oD4).14C14	448,1350

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁