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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₄)⋊₁C₄ = (D₄×C₁₄)⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	112		(D4xC14):1C4	448,94
(D₄×C₁₄)⋊₂C₄ = C₄²⋊₃Dic₇	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	56	4	(D4xC14):2C4	448,102
(D₄×C₁₄)⋊₃C₄ = C₇×C₂².SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	112		(D4xC14):3C4	448,131
(D₄×C₁₄)⋊₄C₄ = C₇×C₄²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	56	4	(D4xC14):4C4	448,157
(D₄×C₁₄)⋊₅C₄ = C₂×D₄⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14):5C4	448,748
(D₄×C₁₄)⋊₆C₄ = (D₄×C₁₄)⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):6C4	448,749
(D₄×C₁₄)⋊₇C₄ = C₂⁴.₁₉D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14):7C4	448,755
(D₄×C₁₄)⋊₈C₄ = C₂×D₄⋊₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):8C4	448,769
(D₄×C₁₄)⋊₉C₄ = (D₄×C₁₄)⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14):9C4	448,770
(D₄×C₁₄)⋊₁₀C₄ = (D₄×C₁₄)⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14):10C4	448,774
(D₄×C₁₄)⋊₁₁C₄ = C₂×D₄×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14):11C4	448,1248
(D₄×C₁₄)⋊₁₂C₄ = C₂⁴.₃₈D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):12C4	448,1251
(D₄×C₁₄)⋊₁₃C₄ = C₂×C₂³⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):13C4	448,753
(D₄×C₁₄)⋊₁₄C₄ = C₂⁴.₁₈D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14):14C4	448,754
(D₄×C₁₄)⋊₁₅C₄ = C₇×C₂³.₂₃D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14):15C4	448,794
(D₄×C₁₄)⋊₁₆C₄ = C₇×C₂⁴.₃C₂²	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14):16C4	448,798
(D₄×C₁₄)⋊₁₇C₄ = C₁₄×C₂³⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):17C4	448,817
(D₄×C₁₄)⋊₁₈C₄ = C₇×C₂³.C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14):18C4	448,818
(D₄×C₁₄)⋊₁₉C₄ = C₁₄×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14):19C4	448,822
(D₄×C₁₄)⋊₂₀C₄ = C₇×C₂³.₃₇D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):20C4	448,826
(D₄×C₁₄)⋊₂₁C₄ = C₁₄×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):21C4	448,828
(D₄×C₁₄)⋊₂₂C₄ = C₇×C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14):22C4	448,829
(D₄×C₁₄)⋊₂₃C₄ = C₇×C₂².₁₁C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14):23C4	448,1301

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₄).₁C₄ = C₄².₇D₁₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	224		(D4xC14).1C4	448,97
(D₄×C₁₄).₂C₄ = C₄².Dic₇	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	112	4	(D4xC14).2C4	448,99
(D₄×C₁₄).₃C₄ = C₂₈.₉D₈	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	224		(D4xC14).3C4	448,101
(D₄×C₁₄).₄C₄ = C₇×C₄².C₂²	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	224		(D4xC14).4C4	448,133
(D₄×C₁₄).₅C₄ = C₇×C₄.D₈	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	224		(D4xC14).5C4	448,135
(D₄×C₁₄).₆C₄ = C₇×C₄².C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₄	112	4	(D4xC14).6C4	448,159
(D₄×C₁₄).₇C₄ = C₂₈.₅₇D₈	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).7C4	448,91
(D₄×C₁₄).₈C₄ = D₄×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).8C4	448,544
(D₄×C₁₄).₉C₄ = C₂₈⋊₃M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).9C4	448,546
(D₄×C₁₄).₁₀C₄ = C₂×C₂₈.D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).10C4	448,750
(D₄×C₁₄).₁₁C₄ = (D₄×C₁₄).₁₁C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).11C4	448,768
(D₄×C₁₄).₁₂C₄ = C₂×Q₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).12C4	448,1271
(D₄×C₁₄).₁₃C₄ = C₂₈.₇₆C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14).13C4	448,1272
(D₄×C₁₄).₁₄C₄ = C₇×D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).14C4	448,129
(D₄×C₁₄).₁₅C₄ = C₄².₄₇D₁₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).15C4	448,545
(D₄×C₁₄).₁₆C₄ = (D₄×C₁₄).₁₆C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14).16C4	448,771
(D₄×C₁₄).₁₇C₄ = C₇×(C₂²×C₈)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).17C4	448,816
(D₄×C₁₄).₁₈C₄ = C₁₄×C₄.D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112		(D4xC14).18C4	448,819
(D₄×C₁₄).₁₉C₄ = C₇×M₄(2).₈C₂²	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14).19C4	448,821
(D₄×C₁₄).₂₀C₄ = C₇×C₈⋊₉D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).20C4	448,843
(D₄×C₁₄).₂₁C₄ = C₇×C₈⋊₆D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	224		(D4xC14).21C4	448,844
(D₄×C₁₄).₂₂C₄ = C₇×Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₄	112	4	(D4xC14).22C4	448,1351
(D₄×C₁₄).₂₃C₄ = D₄×C₅₆	φ: trivial image	224		(D4xC14).23C4	448,842
(D₄×C₁₄).₂₄C₄ = C₁₄×C₈○D₄	φ: trivial image	224		(D4xC14).24C4	448,1350

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

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