Extensions 1→N→G→Q→1 with N=C₇×D₈ and Q=C₄

Direct product G=N×Q with N=C₇×D₈ and Q=C₄

		d	ρ	Label	ID
D₈×C₂₈		224		D8xC28	448,845

Semidirect products G=N:Q with N=C₇×D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₈)⋊₁C₄ = C₁₄.SD₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	224		(C7xD8):1C4	448,119
(C₇×D₈)⋊₂C₄ = D₈×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	224		(C7xD8):2C4	448,683
(C₇×D₈)⋊₃C₄ = D₈⋊₅Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	112	4	(C7xD8):3C4	448,730
(C₇×D₈)⋊₄C₄ = D₈⋊₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	112	4	(C7xD8):4C4	448,123
(C₇×D₈)⋊₅C₄ = D₈⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	224		(C7xD8):5C4	448,686
(C₇×D₈)⋊₆C₄ = D₈⋊₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	112	4	(C7xD8):6C4	448,731
(C₇×D₈)⋊₇C₄ = C₇×C₂.D₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	224		(C7xD8):7C4	448,161
(C₇×D₈)⋊₈C₄ = C₇×D₈⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	112	4	(C7xD8):8C4	448,164
(C₇×D₈)⋊₉C₄ = C₇×D₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	224		(C7xD8):9C4	448,850
(C₇×D₈)⋊₁₀C₄ = C₇×C₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	112	4	(C7xD8):10C4	448,852
(C₇×D₈)⋊₁₁C₄ = C₇×C₈○D₈	φ: trivial image	112	2	(C7xD8):11C4	448,851

Non-split extensions G=N.Q with N=C₇×D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₈).₁C₄ = C₂₈.₅₈D₈	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	224	4	(C7xD8).1C4	448,124
(C₇×D₈).₂C₄ = D₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	112	4	(C7xD8).2C4	448,120
(C₇×D₈).₃C₄ = C₇×D₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	224	2	(C7xD8).3C4	448,163
(C₇×D₈).₄C₄ = C₇×M₅(2)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₈	112	4	(C7xD8).4C4	448,165

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