Extensions 1→N→G→Q→1 with N=C₇×C₄○D₈ and Q=C₂

Direct product G=N×Q with N=C₇×C₄○D₈ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄○D₈		224		C14xC4oD8	448,1355

Semidirect products G=N:Q with N=C₇×C₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₈)⋊₁C₂ = C₅₆.₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	4	(C7xC4oD8):1C2	448,728
(C₇×C₄○D₈)⋊₂C₂ = D₇×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8):2C2	448,1220
(C₇×C₄○D₈)⋊₃C₂ = D₈⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8):3C2	448,1221
(C₇×C₄○D₈)⋊₄C₂ = Q₁₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4+	(C7xC4oD8):4C2	448,727
(C₇×C₄○D₈)⋊₅C₂ = D₈⋊₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4+	(C7xC4oD8):5C2	448,1222
(C₇×C₄○D₈)⋊₆C₂ = D₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	4-	(C7xC4oD8):6C2	448,1224
(C₇×C₄○D₈)⋊₇C₂ = D₈⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8):7C2	448,1223
(C₇×C₄○D₈)⋊₈C₂ = C₇×C₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	2	(C7xC4oD8):8C2	448,916
(C₇×C₄○D₈)⋊₉C₂ = C₇×C₁₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8):9C2	448,917
(C₇×C₄○D₈)⋊₁₀C₂ = C₇×D₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8):10C2	448,1358
(C₇×C₄○D₈)⋊₁₁C₂ = C₇×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8):11C2	448,1359
(C₇×C₄○D₈)⋊₁₂C₂ = C₇×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8):12C2	448,1360
(C₇×C₄○D₈)⋊₁₃C₂ = C₇×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	4	(C7xC4oD8):13C2	448,1361

Non-split extensions G=N.Q with N=C₇×C₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₈).₁C₂ = C₂₈.₅₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	4	(C7xC4oD8).1C2	448,124
(C₇×C₄○D₈).₂C₂ = D₈⋊₅Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8).2C2	448,730
(C₇×C₄○D₈).₃C₂ = D₈⋊₄Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8).3C2	448,731
(C₇×C₄○D₈).₄C₂ = C₅₆.₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	4-	(C7xC4oD8).4C2	448,729
(C₇×C₄○D₈).₅C₂ = D₈⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8).5C2	448,123
(C₇×C₄○D₈).₆C₂ = C₇×D₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	2	(C7xC4oD8).6C2	448,163
(C₇×C₄○D₈).₇C₂ = C₇×D₈⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8).7C2	448,164
(C₇×C₄○D₈).₈C₂ = C₇×C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	112	4	(C7xC4oD8).8C2	448,852
(C₇×C₄○D₈).₉C₂ = C₇×Q₃₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄○D₈	224	4	(C7xC4oD8).9C2	448,918
(C₇×C₄○D₈).₁₀C₂ = C₇×C₈○D₈	φ: trivial image	112	2	(C7xC4oD8).10C2	448,851

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁