Extensions 1→N→G→Q→1 with N=C₇xD₈ and Q=C₄

Direct product G=NxQ with N=C₇xD₈ and Q=C₄

		d	ρ	Label	ID
D₈xC₂₈		224		D8xC28	448,845

Semidirect products G=N:Q with N=C₇xD₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xD₈):₁C₄ = C₁₄.SD₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):1C4	448,119
(C₇xD₈):₂C₄ = D₈xDic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):2C4	448,683
(C₇xD₈):₃C₄ = D₈:₅Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):3C4	448,730
(C₇xD₈):₄C₄ = D₈:₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):4C4	448,123
(C₇xD₈):₅C₄ = D₈:Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):5C4	448,686
(C₇xD₈):₆C₄ = D₈:₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):6C4	448,731
(C₇xD₈):₇C₄ = C₇xC₂.D₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):7C4	448,161
(C₇xD₈):₈C₄ = C₇xD₈:₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):8C4	448,164
(C₇xD₈):₉C₄ = C₇xD₈:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):9C4	448,850
(C₇xD₈):₁₀C₄ = C₇xC₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):10C4	448,852
(C₇xD₈):₁₁C₄ = C₇xC₈oD₈	φ: trivial image	112	2	(C7xD8):11C4	448,851

Non-split extensions G=N.Q with N=C₇xD₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xD₈).₁C₄ = C₂₈.₅₈D₈	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	224	4	(C7xD8).1C4	448,124
(C₇xD₈).₂C₄ = D₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8).2C4	448,120
(C₇xD₈).₃C₄ = C₇xD₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	224	2	(C7xD8).3C4	448,163
(C₇xD₈).₄C₄ = C₇xM₅(2):C₂	φ: C₄/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8).4C4	448,165

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