Extensions 1→N→G→Q→1 with N=C₂×M₄(2) and Q=D₇

Direct product G=N×Q with N=C₂×M₄(2) and Q=D₇

		d	ρ	Label	ID
C₂×D₇×M₄(2)		112		C2xD7xM4(2)	448,1196

Semidirect products G=N:Q with N=C₂×M₄(2) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2))⋊₁D₇ = C₅₆⋊₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):1D7	448,668
(C₂×M₄(2))⋊₂D₇ = C₅₆⋊₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):2D7	448,669
(C₂×M₄(2))⋊₃D₇ = C₂×C₈⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):3D7	448,1199
(C₂×M₄(2))⋊₄D₇ = C₂×C₈.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):4D7	448,1200
(C₂×M₄(2))⋊₅D₇ = C₅₆.₉C₂³	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):5D7	448,1201
(C₂×M₄(2))⋊₆D₇ = D₁₄⋊₆M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):6D7	448,660
(C₂×M₄(2))⋊₇D₇ = C₅₆⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):7D7	448,661
(C₂×M₄(2))⋊₈D₇ = C₅₆⋊₁₈D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):8D7	448,662
(C₂×M₄(2))⋊₉D₇ = (C₂×D₂₈).₁₄C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):9D7	448,663
(C₂×M₄(2))⋊₁₀D₇ = C₂×C₂₈.₄₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):10D7	448,664
(C₂×M₄(2))⋊₁₁D₇ = C₂³.₄₈D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):11D7	448,665
(C₂×M₄(2))⋊₁₂D₇ = M₄(2).₃₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):12D7	448,666
(C₂×M₄(2))⋊₁₃D₇ = C₂³.₄₉D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):13D7	448,667
(C₂×M₄(2))⋊₁₄D₇ = C₂×D₂₈⋊₄C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):14D7	448,672
(C₂×M₄(2))⋊₁₅D₇ = C₂³.₂₀D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):15D7	448,673
(C₂×M₄(2))⋊₁₆D₇ = C₂₈.₇₀C₂⁴	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):16D7	448,1198
(C₂×M₄(2))⋊₁₇D₇ = C₂×D₂₈.C₄	φ: trivial image	224		(C2xM4(2)):17D7	448,1197

Non-split extensions G=N.Q with N=C₂×M₄(2) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2)).₁D₇ = C₂³.₄₇D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).1D7	448,655
(C₂×M₄(2)).₂D₇ = M₄(2).Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).2D7	448,659
(C₂×M₄(2)).₃D₇ = C₅₆.₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).3D7	448,671
(C₂×M₄(2)).₄D₇ = C₅₆.D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).4D7	448,110
(C₂×M₄(2)).₅D₇ = M₄(2)⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).5D7	448,111
(C₂×M₄(2)).₆D₇ = C₂₈.₃C₄²	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)).6D7	448,112
(C₂×M₄(2)).₇D₇ = (C₂×C₅₆)⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).7D7	448,113
(C₂×M₄(2)).₈D₇ = C₂³.₉D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).8D7	448,114
(C₂×M₄(2)).₉D₇ = C₂₈.₄C₄²	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).9D7	448,115
(C₂×M₄(2)).₁₀D₇ = M₄(2)⋊₄Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).10D7	448,116
(C₂×M₄(2)).₁₁D₇ = C₂₈.₂₁C₄²	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).11D7	448,117
(C₂×M₄(2)).₁₂D₇ = Dic₇⋊₄M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).12D7	448,652
(C₂×M₄(2)).₁₃D₇ = C₂₈.₄₃₉(C₂×D₄)	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).13D7	448,653
(C₂×M₄(2)).₁₄D₇ = C₂³.₄₆D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).14D7	448,654
(C₂×M₄(2)).₁₅D₇ = C₂×C₂₈.₅₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).15D7	448,657
(C₂×M₄(2)).₁₆D₇ = C₂³.Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).16D7	448,658
(C₂×M₄(2)).₁₇D₇ = C₂×C₄.₁₂D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).17D7	448,670
(C₂×M₄(2)).₁₈D₇ = M₄(2)×Dic₇	φ: trivial image	224		(C2xM4(2)).18D7	448,651
(C₂×M₄(2)).₁₉D₇ = C₂₈.₇C₄²	φ: trivial image	224		(C2xM4(2)).19D7	448,656

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