Extensions 1→N→G→Q→1 with N=C₂×D₈ and Q=D₇

Direct product G=N×Q with N=C₂×D₈ and Q=D₇

		d	ρ	Label	ID
C₂×D₇×D₈		112		C2xD7xD8	448,1207

Semidirect products G=N:Q with N=C₂×D₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₈)⋊₁D₇ = C₂×C₇⋊D₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8):1D7	448,680
(C₂×D₈)⋊₂D₇ = Dic₇⋊D₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8):2D7	448,684
(C₂×D₈)⋊₃D₇ = C₅₆⋊₅D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8):3D7	448,685
(C₂×D₈)⋊₄D₇ = D₂₈⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	112		(C2xD8):4D7	448,690
(C₂×D₈)⋊₅D₇ = C₅₆⋊₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8):5D7	448,691
(C₂×D₈)⋊₆D₇ = Dic₁₄⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8):6D7	448,692
(C₂×D₈)⋊₇D₇ = D₈.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	112	4	(C2xD8):7D7	448,681
(C₂×D₈)⋊₈D₇ = C₅₆⋊₁₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8):8D7	448,688
(C₂×D₈)⋊₉D₇ = C₅₆⋊₁₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8):9D7	448,693
(C₂×D₈)⋊₁₀D₇ = C₅₆.₂₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	112	4	(C2xD8):10D7	448,694
(C₂×D₈)⋊₁₁D₇ = C₂×D₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	112		(C2xD8):11D7	448,1208
(C₂×D₈)⋊₁₂D₇ = D₈⋊₁₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	112	4	(C2xD8):12D7	448,1210
(C₂×D₈)⋊₁₃D₇ = C₂×D₈⋊₃D₇	φ: trivial image	224		(C2xD8):13D7	448,1209

Non-split extensions G=N.Q with N=C₂×D₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₈).₁D₇ = C₁₄.SD₃₂	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8).1D7	448,119
(C₂×D₈).₂D₇ = C₂×D₈.D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8).2D7	448,682
(C₂×D₈).₃D₇ = (C₂×D₈).D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8).3D7	448,687
(C₂×D₈).₄D₇ = C₅₆.₂₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8).4D7	448,689
(C₂×D₈).₅D₇ = D₈.Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	112	4	(C2xD8).5D7	448,120
(C₂×D₈).₆D₇ = D₈⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×D₈	224		(C2xD8).6D7	448,686
(C₂×D₈).₇D₇ = D₈×Dic₇	φ: trivial image	224		(C2xD8).7D7	448,683

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