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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₄×M₄(2))⋊₁C₂ = C₅₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):1C2	448,668
(C₁₄×M₄(2))⋊₂C₂ = C₅₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):2C2	448,669
(C₁₄×M₄(2))⋊₃C₂ = C₂×C₈⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):3C2	448,1199
(C₁₄×M₄(2))⋊₄C₂ = C₂×C₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):4C2	448,1200
(C₁₄×M₄(2))⋊₅C₂ = C₅₆.₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):5C2	448,1201
(C₁₄×M₄(2))⋊₆C₂ = C₅₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):6C2	448,661
(C₁₄×M₄(2))⋊₇C₂ = C₅₆⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):7C2	448,662
(C₁₄×M₄(2))⋊₈C₂ = C₂×D₇×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):8C2	448,1196
(C₁₄×M₄(2))⋊₉C₂ = C₂×D₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):9C2	448,1197
(C₁₄×M₄(2))⋊₁₀C₂ = C₂₈.₇₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):10C2	448,1198
(C₁₄×M₄(2))⋊₁₁C₂ = C₇×C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):11C2	448,876
(C₁₄×M₄(2))⋊₁₂C₂ = C₇×C₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):12C2	448,877
(C₁₄×M₄(2))⋊₁₃C₂ = C₁₄×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):13C2	448,1356
(C₁₄×M₄(2))⋊₁₄C₂ = C₁₄×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):14C2	448,1357
(C₁₄×M₄(2))⋊₁₅C₂ = C₇×D₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):15C2	448,1358
(C₁₄×M₄(2))⋊₁₆C₂ = D₁₄⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):16C2	448,660
(C₁₄×M₄(2))⋊₁₇C₂ = (C₂×D₂₈).₁₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):17C2	448,663
(C₁₄×M₄(2))⋊₁₈C₂ = C₂×C₂₈.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):18C2	448,664
(C₁₄×M₄(2))⋊₁₉C₂ = C₂³.₄₈D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):19C2	448,665
(C₁₄×M₄(2))⋊₂₀C₂ = M₄(2).₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):20C2	448,666
(C₁₄×M₄(2))⋊₂₁C₂ = C₂³.₄₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):21C2	448,667
(C₁₄×M₄(2))⋊₂₂C₂ = C₂×D₂₈⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):22C2	448,672
(C₁₄×M₄(2))⋊₂₃C₂ = C₂³.₂₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):23C2	448,673
(C₁₄×M₄(2))⋊₂₄C₂ = C₇×C₂⁴.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):24C2	448,815
(C₁₄×M₄(2))⋊₂₅C₂ = C₇×(C₂²×C₈)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):25C2	448,816
(C₁₄×M₄(2))⋊₂₆C₂ = C₁₄×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):26C2	448,819
(C₁₄×M₄(2))⋊₂₇C₂ = C₇×M₄(2).₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):27C2	448,821
(C₁₄×M₄(2))⋊₂₈C₂ = C₇×C₂³.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):28C2	448,825
(C₁₄×M₄(2))⋊₂₉C₂ = C₇×C₂³.₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):29C2	448,826
(C₁₄×M₄(2))⋊₃₀C₂ = C₁₄×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)):30C2	448,828
(C₁₄×M₄(2))⋊₃₁C₂ = C₇×C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):31C2	448,829
(C₁₄×M₄(2))⋊₃₂C₂ = C₇×C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):32C2	448,843
(C₁₄×M₄(2))⋊₃₃C₂ = C₇×C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)):33C2	448,844
(C₁₄×M₄(2))⋊₃₄C₂ = C₇×Q₈○M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)):34C2	448,1351
(C₁₄×M₄(2))⋊₃₅C₂ = C₁₄×C₈○D₄	φ: trivial image	224		(C14xM4(2)):35C2	448,1350

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₄×M₄(2)).₁C₂ = C₂³.₄₇D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).1C2	448,655
(C₁₄×M₄(2)).₂C₂ = M₄(2).Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).2C2	448,659
(C₁₄×M₄(2)).₃C₂ = C₅₆.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).3C2	448,671
(C₁₄×M₄(2)).₄C₂ = C₅₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).4C2	448,110
(C₁₄×M₄(2)).₅C₂ = M₄(2)×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).5C2	448,651
(C₁₄×M₄(2)).₆C₂ = C₂₈.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).6C2	448,656
(C₁₄×M₄(2)).₇C₂ = C₇×M₄(2)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).7C2	448,836
(C₁₄×M₄(2)).₈C₂ = C₇×C₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).8C2	448,878
(C₁₄×M₄(2)).₉C₂ = M₄(2)⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).9C2	448,111
(C₁₄×M₄(2)).₁₀C₂ = C₂₈.₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)).10C2	448,112
(C₁₄×M₄(2)).₁₁C₂ = (C₂×C₅₆)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).11C2	448,113
(C₁₄×M₄(2)).₁₂C₂ = C₂³.₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).12C2	448,114
(C₁₄×M₄(2)).₁₃C₂ = C₂₈.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).13C2	448,115
(C₁₄×M₄(2)).₁₄C₂ = M₄(2)⋊₄Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).14C2	448,116
(C₁₄×M₄(2)).₁₅C₂ = C₂₈.₂₁C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).15C2	448,117
(C₁₄×M₄(2)).₁₆C₂ = C₇×C₄.₉C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).16C2	448,141
(C₁₄×M₄(2)).₁₇C₂ = C₇×C₄.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).17C2	448,142
(C₁₄×M₄(2)).₁₈C₂ = C₇×C₄²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112		(C14xM4(2)).18C2	448,143
(C₁₄×M₄(2)).₁₉C₂ = C₇×C₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).19C2	448,145
(C₁₄×M₄(2)).₂₀C₂ = C₇×C₂².C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).20C2	448,147
(C₁₄×M₄(2)).₂₁C₂ = C₇×M₄(2)⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).21C2	448,148
(C₁₄×M₄(2)).₂₂C₂ = C₇×C₂³.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).22C2	448,153
(C₁₄×M₄(2)).₂₃C₂ = Dic₇⋊₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).23C2	448,652
(C₁₄×M₄(2)).₂₄C₂ = C₂₈.₄₃₉(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).24C2	448,653
(C₁₄×M₄(2)).₂₅C₂ = C₂³.₄₆D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).25C2	448,654
(C₁₄×M₄(2)).₂₆C₂ = C₂×C₂₈.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).26C2	448,657
(C₁₄×M₄(2)).₂₇C₂ = C₂³.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).27C2	448,658
(C₁₄×M₄(2)).₂₈C₂ = C₂×C₄.₁₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).28C2	448,670
(C₁₄×M₄(2)).₂₉C₂ = C₁₄×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).29C2	448,820
(C₁₄×M₄(2)).₃₀C₂ = C₇×C₂³.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).30C2	448,827
(C₁₄×M₄(2)).₃₁C₂ = C₇×C₄⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).31C2	448,831
(C₁₄×M₄(2)).₃₂C₂ = C₇×C₄².₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).32C2	448,832
(C₁₄×M₄(2)).₃₃C₂ = C₁₄×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	224		(C14xM4(2)).33C2	448,837
(C₁₄×M₄(2)).₃₄C₂ = C₇×M₄(2).C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₄×M₄(2)	112	4	(C14xM4(2)).34C2	448,838
(C₁₄×M₄(2)).₃₅C₂ = M₄(2)×C₂₈	φ: trivial image	224		(C14xM4(2)).35C2	448,812
(C₁₄×M₄(2)).₃₆C₂ = C₇×C₈○₂M₄(2)	φ: trivial image	224		(C14xM4(2)).36C2	448,813

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

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