Extensions 1→N→G→Q→1 with N=C₂xC₇:C₈ and Q=C₂

Direct product G=NxQ with N=C₂xC₇:C₈ and Q=C₂

		d	ρ	Label	ID
C₂²xC₇:C₈		224		C2^2xC7:C8	224,115

Semidirect products G=N:Q with N=C₂xC₇:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₇:C₈):₁C₂ = C₁₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):1C2	224,15
(C₂xC₇:C₈):₂C₂ = D₄:Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):2C2	224,38
(C₂xC₇:C₈):₃C₂ = D₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8):3C2	224,102
(C₂xC₇:C₈):₄C₂ = C₂xD₄:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):4C2	224,126
(C₂xC₇:C₈):₅C₂ = C₂xD₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):5C2	224,128
(C₂xC₇:C₈):₆C₂ = C₂xQ₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):6C2	224,136
(C₂xC₇:C₈):₇C₂ = Q₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8):7C2	224,143
(C₂xC₇:C₈):₈C₂ = D₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8):8C2	224,145
(C₂xC₇:C₈):₉C₂ = D₁₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):9C2	224,26
(C₂xC₇:C₈):₁₀C₂ = C₂₈.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):10C2	224,36
(C₂xC₇:C₈):₁₁C₂ = C₂xC₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):11C2	224,95
(C₂xC₇:C₈):₁₂C₂ = C₂xC₄.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112		(C2xC7:C8):12C2	224,116
(C₂xC₇:C₈):₁₃C₂ = D₇xC₂xC₈	φ: trivial image	112		(C2xC7:C8):13C2	224,94

Non-split extensions G=N.Q with N=C₂xC₇:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₇:C₈).₁C₂ = C₂₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).1C2	224,13
(C₂xC₇:C₈).₂C₂ = C₄.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).2C2	224,14
(C₂xC₇:C₈).₃C₂ = C₁₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).3C2	224,16
(C₂xC₇:C₈).₄C₂ = C₂₈.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	112	4	(C2xC7:C8).4C2	224,28
(C₂xC₇:C₈).₅C₂ = Q₈:Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).5C2	224,41
(C₂xC₇:C₈).₆C₂ = C₂xC₇:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).6C2	224,138
(C₂xC₇:C₈).₇C₂ = C₄².D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).7C2	224,9
(C₂xC₇:C₈).₈C₂ = C₂₈:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).8C2	224,10
(C₂xC₇:C₈).₉C₂ = Dic₇:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).9C2	224,20
(C₂xC₇:C₈).₁₀C₂ = C₅₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₇:C₈	224		(C2xC7:C8).10C2	224,21
(C₂xC₇:C₈).₁₁C₂ = C₄xC₇:C₈	φ: trivial image	224		(C2xC7:C8).11C2	224,8
(C₂xC₇:C₈).₁₂C₂ = C₈xDic₇	φ: trivial image	224		(C2xC7:C8).12C2	224,19

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