Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=D₇

Direct product G=N×Q with N=C₂×C₈ and Q=D₇

		d	ρ	Label	ID
D₇×C₂×C₈		112		D7xC2xC8	224,94

Semidirect products G=N:Q with N=C₂×C₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁D₇ = D₁₄⋊C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):1D7	224,26
(C₂×C₈)⋊₂D₇ = C₂.D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):2D7	224,27
(C₂×C₈)⋊₃D₇ = C₂×D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):3D7	224,98
(C₂×C₈)⋊₄D₇ = D₅₆⋊₇C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8):4D7	224,99
(C₂×C₈)⋊₅D₇ = C₂×C₅₆⋊C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):5D7	224,97
(C₂×C₈)⋊₆D₇ = C₂×C₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112		(C2xC8):6D7	224,95
(C₂×C₈)⋊₇D₇ = D₂₈.₂C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8):7D7	224,96

Non-split extensions G=N.Q with N=C₂×C₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁D₇ = Dic₇⋊C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).1D7	224,20
(C₂×C₈).₂D₇ = C₂₈.₄₄D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).2D7	224,22
(C₂×C₈).₃D₇ = C₅₆⋊₁C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).3D7	224,24
(C₂×C₈).₄D₇ = C₂×Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).4D7	224,100
(C₂×C₈).₅D₇ = C₅₆.C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8).5D7	224,25
(C₂×C₈).₆D₇ = C₈⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).6D7	224,23
(C₂×C₈).₇D₇ = C₂₈.C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	112	2	(C2xC8).7D7	224,18
(C₂×C₈).₈D₇ = C₅₆⋊C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₈	224		(C2xC8).8D7	224,21
(C₂×C₈).₉D₇ = C₂×C₇⋊C₁₆	central extension (φ=1)	224		(C2xC8).9D7	224,17
(C₂×C₈).₁₀D₇ = C₈×Dic₇	central extension (φ=1)	224		(C2xC8).10D7	224,19

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