Extensions 1→N→G→Q→1 with N=C₇xC₄oD₈ and Q=C₂

Direct product G=NxQ with N=C₇xC₄oD₈ and Q=C₂

		d	ρ	Label	ID
C₁₄xC₄oD₈		224		C14xC4oD8	448,1355

Semidirect products G=N:Q with N=C₇xC₄oD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xC₄oD₈):₁C₂ = C₅₆.₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	4	(C7xC4oD8):1C2	448,728
(C₇xC₄oD₈):₂C₂ = D₇xC₄oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8):2C2	448,1220
(C₇xC₄oD₈):₃C₂ = D₈:₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8):3C2	448,1221
(C₇xC₄oD₈):₄C₂ = Q₁₆:D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4+	(C7xC4oD8):4C2	448,727
(C₇xC₄oD₈):₅C₂ = D₈:₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4+	(C7xC4oD8):5C2	448,1222
(C₇xC₄oD₈):₆C₂ = D₈.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	4-	(C7xC4oD8):6C2	448,1224
(C₇xC₄oD₈):₇C₂ = D₈:₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8):7C2	448,1223
(C₇xC₄oD₈):₈C₂ = C₇xC₄oD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	2	(C7xC4oD8):8C2	448,916
(C₇xC₄oD₈):₉C₂ = C₇xC₁₆:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8):9C2	448,917
(C₇xC₄oD₈):₁₀C₂ = C₇xD₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8):10C2	448,1358
(C₇xC₄oD₈):₁₁C₂ = C₇xD₄oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8):11C2	448,1359
(C₇xC₄oD₈):₁₂C₂ = C₇xD₄oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8):12C2	448,1360
(C₇xC₄oD₈):₁₃C₂ = C₇xQ₈oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	4	(C7xC4oD8):13C2	448,1361

Non-split extensions G=N.Q with N=C₇xC₄oD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xC₄oD₈).₁C₂ = C₂₈.₅₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	4	(C7xC4oD8).1C2	448,124
(C₇xC₄oD₈).₂C₂ = D₈:₅Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8).2C2	448,730
(C₇xC₄oD₈).₃C₂ = D₈:₄Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8).3C2	448,731
(C₇xC₄oD₈).₄C₂ = C₅₆.₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	4-	(C7xC4oD8).4C2	448,729
(C₇xC₄oD₈).₅C₂ = D₈:₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8).5C2	448,123
(C₇xC₄oD₈).₆C₂ = C₇xD₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	2	(C7xC4oD8).6C2	448,163
(C₇xC₄oD₈).₇C₂ = C₇xD₈:₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8).7C2	448,164
(C₇xC₄oD₈).₈C₂ = C₇xC₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	112	4	(C7xC4oD8).8C2	448,852
(C₇xC₄oD₈).₉C₂ = C₇xQ₃₂:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₈	224	4	(C7xC4oD8).9C2	448,918
(C₇xC₄oD₈).₁₀C₂ = C₇xC₈oD₈	φ: trivial image	112	2	(C7xC4oD8).10C2	448,851

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