Extensions 1→N→G→Q→1 with N=C₇×M₄(2) and Q=C₄

Direct product G=N×Q with N=C₇×M₄(2) and Q=C₄

		d	ρ	Label	ID
M₄(2)×C₂₈		224		M4(2)xC28	448,812

Semidirect products G=N:Q with N=C₇×M₄(2) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×M₄(2))⋊₁C₄ = C₂³.₄₇D₂₈	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):1C4	448,655
(C₇×M₄(2))⋊₂C₄ = M₄(2)×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):2C4	448,651
(C₇×M₄(2))⋊₃C₄ = C₂₈.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):3C4	448,656
(C₇×M₄(2))⋊₄C₄ = C₇×M₄(2)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):4C4	448,836
(C₇×M₄(2))⋊₅C₄ = M₄(2)⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):5C4	448,111
(C₇×M₄(2))⋊₆C₄ = C₂₈.₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):6C4	448,112
(C₇×M₄(2))⋊₇C₄ = M₄(2)⋊₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):7C4	448,116
(C₇×M₄(2))⋊₈C₄ = C₇×C₄²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	112		(C7xM4(2)):8C4	448,143
(C₇×M₄(2))⋊₉C₄ = C₇×C₂².C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)):9C4	448,147
(C₇×M₄(2))⋊₁₀C₄ = C₇×M₄(2)⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)):10C4	448,148
(C₇×M₄(2))⋊₁₁C₄ = C₇×C₈○₂M₄(2)	φ: trivial image	224		(C7xM4(2)):11C4	448,813

Non-split extensions G=N.Q with N=C₇×M₄(2) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×M₄(2)).₁C₄ = M₄(2).Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).1C4	448,659
(C₇×M₄(2)).₂C₄ = C₅₆.₇₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224	4	(C7xM4(2)).2C4	448,674
(C₇×M₄(2)).₃C₄ = C₇×M₄(2).C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	112	4	(C7xM4(2)).3C4	448,838
(C₇×M₄(2)).₄C₄ = C₂₈.₄C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)).4C4	448,115
(C₇×M₄(2)).₅C₄ = C₅₆.₉₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224	4	(C7xM4(2)).5C4	448,118
(C₇×M₄(2)).₆C₄ = C₇×C₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224		(C7xM4(2)).6C4	448,145
(C₇×M₄(2)).₇C₄ = C₇×D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₇×M₄(2)	224	2	(C7xM4(2)).7C4	448,154
(C₇×M₄(2)).₈C₄ = C₇×D₄○C₁₆	φ: trivial image	224	2	(C7xM4(2)).8C4	448,912

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