Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=Dic₇

Direct product G=N×Q with N=C₂×D₄ and Q=Dic₇

		d	ρ	Label	ID
C₂×D₄×Dic₇		224		C2xD4xDic7	448,1248

Semidirect products G=N:Q with N=C₂×D₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁Dic₇ = (D₄×C₁₄)⋊C₄	φ: Dic₇/C₇ → C₄ ⊆ Out C₂×D₄	112		(C2xD4):1Dic7	448,94
(C₂×D₄)⋊₂Dic₇ = C₄²⋊₃Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Out C₂×D₄	56	4	(C2xD4):2Dic7	448,102
(C₂×D₄)⋊₃Dic₇ = C₂×D₄⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4):3Dic7	448,748
(C₂×D₄)⋊₄Dic₇ = (D₄×C₁₄)⋊₆C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):4Dic7	448,749
(C₂×D₄)⋊₅Dic₇ = C₂×C₂³⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):5Dic7	448,753
(C₂×D₄)⋊₆Dic₇ = C₂⁴.₁₈D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4):6Dic7	448,754
(C₂×D₄)⋊₇Dic₇ = C₂⁴.₁₉D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4):7Dic7	448,755
(C₂×D₄)⋊₈Dic₇ = C₂×D₄⋊₂Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):8Dic7	448,769
(C₂×D₄)⋊₉Dic₇ = (D₄×C₁₄)⋊₉C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4):9Dic7	448,770
(C₂×D₄)⋊₁₀Dic₇ = (D₄×C₁₄)⋊₁₀C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4):10Dic7	448,774
(C₂×D₄)⋊₁₁Dic₇ = C₂⁴.₃₈D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4):11Dic7	448,1251

Non-split extensions G=N.Q with N=C₂×D₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁Dic₇ = C₄².₇D₁₄	φ: Dic₇/C₇ → C₄ ⊆ Out C₂×D₄	224		(C2xD4).1Dic7	448,97
(C₂×D₄).₂Dic₇ = C₄².Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Out C₂×D₄	112	4	(C2xD4).2Dic7	448,99
(C₂×D₄).₃Dic₇ = C₂₈.₉D₈	φ: Dic₇/C₇ → C₄ ⊆ Out C₂×D₄	224		(C2xD4).3Dic7	448,101
(C₂×D₄).₄Dic₇ = C₂₈.₅₇D₈	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).4Dic7	448,91
(C₂×D₄).₅Dic₇ = C₄².₄₇D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).5Dic7	448,545
(C₂×D₄).₆Dic₇ = C₂₈⋊₃M₄(2)	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).6Dic7	448,546
(C₂×D₄).₇Dic₇ = C₂×C₂₈.D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112		(C2xD4).7Dic7	448,750
(C₂×D₄).₈Dic₇ = (D₄×C₁₄).₁₁C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	224		(C2xD4).8Dic7	448,768
(C₂×D₄).₉Dic₇ = (D₄×C₁₄).₁₆C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4).9Dic7	448,771
(C₂×D₄).₁₀Dic₇ = C₂₈.₇₆C₂⁴	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₂×D₄	112	4	(C2xD4).10Dic7	448,1272
(C₂×D₄).₁₁Dic₇ = D₄×C₇⋊C₈	φ: trivial image	224		(C2xD4).11Dic7	448,544
(C₂×D₄).₁₂Dic₇ = C₂×Q₈.Dic₇	φ: trivial image	224		(C2xD4).12Dic7	448,1271

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁