Extensions 1→N→G→Q→1 with N=C₂×C₇⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂×C₇⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂²×C₇⋊C₈		224		C2^2xC7:C8	224,115

Semidirect products G=N:Q with N=C₂×C₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₈)⋊₁C₂ = C₁₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):1C2	224,15
(C₂×C₇⋊C₈)⋊₂C₂ = D₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):2C2	224,38
(C₂×C₇⋊C₈)⋊₃C₂ = D₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112	4	(C2xC7:C8):3C2	224,102
(C₂×C₇⋊C₈)⋊₄C₂ = C₂×D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):4C2	224,126
(C₂×C₇⋊C₈)⋊₅C₂ = C₂×D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):5C2	224,128
(C₂×C₇⋊C₈)⋊₆C₂ = C₂×Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):6C2	224,136
(C₂×C₇⋊C₈)⋊₇C₂ = Q₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112	4	(C2xC7:C8):7C2	224,143
(C₂×C₇⋊C₈)⋊₈C₂ = D₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112	4	(C2xC7:C8):8C2	224,145
(C₂×C₇⋊C₈)⋊₉C₂ = D₁₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):9C2	224,26
(C₂×C₇⋊C₈)⋊₁₀C₂ = C₂₈.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):10C2	224,36
(C₂×C₇⋊C₈)⋊₁₁C₂ = C₂×C₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):11C2	224,95
(C₂×C₇⋊C₈)⋊₁₂C₂ = C₂×C₄.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112		(C2xC7:C8):12C2	224,116
(C₂×C₇⋊C₈)⋊₁₃C₂ = D₇×C₂×C₈	φ: trivial image	112		(C2xC7:C8):13C2	224,94

Non-split extensions G=N.Q with N=C₂×C₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₈).₁C₂ = C₂₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).1C2	224,13
(C₂×C₇⋊C₈).₂C₂ = C₄.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).2C2	224,14
(C₂×C₇⋊C₈).₃C₂ = C₁₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).3C2	224,16
(C₂×C₇⋊C₈).₄C₂ = C₂₈.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	112	4	(C2xC7:C8).4C2	224,28
(C₂×C₇⋊C₈).₅C₂ = Q₈⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).5C2	224,41
(C₂×C₇⋊C₈).₆C₂ = C₂×C₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).6C2	224,138
(C₂×C₇⋊C₈).₇C₂ = C₄².D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).7C2	224,9
(C₂×C₇⋊C₈).₈C₂ = C₂₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).8C2	224,10
(C₂×C₇⋊C₈).₉C₂ = Dic₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).9C2	224,20
(C₂×C₇⋊C₈).₁₀C₂ = C₅₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₇⋊C₈	224		(C2xC7:C8).10C2	224,21
(C₂×C₇⋊C₈).₁₁C₂ = C₄×C₇⋊C₈	φ: trivial image	224		(C2xC7:C8).11C2	224,8
(C₂×C₇⋊C₈).₁₂C₂ = C₈×Dic₇	φ: trivial image	224		(C2xC7:C8).12C2	224,19

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