Extensions 1→N→G→Q→1 with N=C₂×M₄(2) and Q=C₁₄

Direct product G=N×Q with N=C₂×M₄(2) and Q=C₁₄

		d	ρ	Label	ID
M₄(2)×C₂×C₁₄		224		M4(2)xC2xC14	448,1349

Semidirect products G=N:Q with N=C₂×M₄(2) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2))⋊₁C₁₄ = C₇×C₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):1C14	448,876
(C₂×M₄(2))⋊₂C₁₄ = C₇×C₈⋊₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):2C14	448,877
(C₂×M₄(2))⋊₃C₁₄ = C₁₄×C₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):3C14	448,1356
(C₂×M₄(2))⋊₄C₁₄ = C₁₄×C₈.C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):4C14	448,1357
(C₂×M₄(2))⋊₅C₁₄ = C₇×D₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):5C14	448,1358
(C₂×M₄(2))⋊₆C₁₄ = C₇×C₂⁴.₄C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):6C14	448,815
(C₂×M₄(2))⋊₇C₁₄ = C₇×(C₂²×C₈)⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):7C14	448,816
(C₂×M₄(2))⋊₈C₁₄ = C₁₄×C₄.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):8C14	448,819
(C₂×M₄(2))⋊₉C₁₄ = C₇×M₄(2).₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):9C14	448,821
(C₂×M₄(2))⋊₁₀C₁₄ = C₇×C₂³.₃₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):10C14	448,825
(C₂×M₄(2))⋊₁₁C₁₄ = C₇×C₂³.₃₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):11C14	448,826
(C₂×M₄(2))⋊₁₂C₁₄ = C₁₄×C₄≀C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)):12C14	448,828
(C₂×M₄(2))⋊₁₃C₁₄ = C₇×C₄²⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):13C14	448,829
(C₂×M₄(2))⋊₁₄C₁₄ = C₇×C₈⋊₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):14C14	448,843
(C₂×M₄(2))⋊₁₅C₁₄ = C₇×C₈⋊₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)):15C14	448,844
(C₂×M₄(2))⋊₁₆C₁₄ = C₇×Q₈○M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)):16C14	448,1351
(C₂×M₄(2))⋊₁₇C₁₄ = C₁₄×C₈○D₄	φ: trivial image	224		(C2xM4(2)):17C14	448,1350

Non-split extensions G=N.Q with N=C₂×M₄(2) and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2)).₁C₁₄ = C₇×M₄(2)⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).1C14	448,836
(C₂×M₄(2)).₂C₁₄ = C₇×M₄(2).C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).2C14	448,838
(C₂×M₄(2)).₃C₁₄ = C₇×C₈.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).3C14	448,878
(C₂×M₄(2)).₄C₁₄ = C₇×C₄.₉C₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).4C14	448,141
(C₂×M₄(2)).₅C₁₄ = C₇×C₄.₁₀C₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).5C14	448,142
(C₂×M₄(2)).₆C₁₄ = C₇×C₄²⋊₆C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112		(C2xM4(2)).6C14	448,143
(C₂×M₄(2)).₇C₁₄ = C₇×C₄.C₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).7C14	448,145
(C₂×M₄(2)).₈C₁₄ = C₇×C₂².C₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).8C14	448,147
(C₂×M₄(2)).₉C₁₄ = C₇×M₄(2)⋊₄C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).9C14	448,148
(C₂×M₄(2)).₁₀C₁₄ = C₇×C₂³.C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	112	4	(C2xM4(2)).10C14	448,153
(C₂×M₄(2)).₁₁C₁₄ = C₁₄×C₄.₁₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).11C14	448,820
(C₂×M₄(2)).₁₂C₁₄ = C₇×C₂³.₃₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).12C14	448,827
(C₂×M₄(2)).₁₃C₁₄ = C₇×C₄⋊M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).13C14	448,831
(C₂×M₄(2)).₁₄C₁₄ = C₇×C₄².₆C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).14C14	448,832
(C₂×M₄(2)).₁₅C₁₄ = C₁₄×C₈.C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂×M₄(2)	224		(C2xM4(2)).15C14	448,837
(C₂×M₄(2)).₁₆C₁₄ = M₄(2)×C₂₈	φ: trivial image	224		(C2xM4(2)).16C14	448,812
(C₂×M₄(2)).₁₇C₁₄ = C₇×C₈○₂M₄(2)	φ: trivial image	224		(C2xM4(2)).17C14	448,813

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