Extensions 1→N→G→Q→1 with N=D₇×C₂²×C₄ and Q=C₂

Direct product G=N×Q with N=D₇×C₂²×C₄ and Q=C₂

		d	ρ	Label	ID
D₇×C₂³×C₄		224		D7xC2^3xC4	448,1366

Semidirect products G=N:Q with N=D₇×C₂²×C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₇×C₂²×C₄)⋊₁C₂ = C₂×C₄⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):1C2	448,959
(D₇×C₂²×C₄)⋊₂C₂ = C₄²⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):2C2	448,977
(D₇×C₂²×C₄)⋊₃C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):3C2	448,1057
(D₇×C₂²×C₄)⋊₄C₂ = C₄⋊C₄⋊₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):4C2	448,1059
(D₇×C₂²×C₄)⋊₅C₂ = C₄⋊C₄⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):5C2	448,1080
(D₇×C₂²×C₄)⋊₆C₂ = C₂×C₂₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):6C2	448,1253
(D₇×C₂²×C₄)⋊₇C₂ = (C₂×C₂₈)⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):7C2	448,1281
(D₇×C₂²×C₄)⋊₈C₂ = C₂²×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):8C2	448,1369
(D₇×C₂²×C₄)⋊₉C₂ = C₂²×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):9C2	448,1370
(D₇×C₂²×C₄)⋊₁₀C₂ = C₂²×Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):10C2	448,1373
(D₇×C₂²×C₄)⋊₁₁C₂ = C₂×D₇×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):11C2	448,1375
(D₇×C₂²×C₄)⋊₁₂C₂ = (C₂×C₄)⋊₉D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):12C2	448,199
(D₇×C₂²×C₄)⋊₁₃C₂ = C₂⁴.₁₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):13C2	448,490
(D₇×C₂²×C₄)⋊₁₄C₂ = C₂×C₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):14C2	448,926
(D₇×C₂²×C₄)⋊₁₅C₂ = C₂×D₇×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):15C2	448,937
(D₇×C₂²×C₄)⋊₁₆C₂ = C₂×Dic₇⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):16C2	448,938
(D₇×C₂²×C₄)⋊₁₇C₂ = C₂×D₁₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):17C2	448,941
(D₇×C₂²×C₄)⋊₁₈C₂ = C₂×D₁₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):18C2	448,942
(D₇×C₂²×C₄)⋊₁₉C₂ = C₂×D₂₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):19C2	448,956
(D₇×C₂²×C₄)⋊₂₀C₂ = C₂×D₁₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):20C2	448,958
(D₇×C₂²×C₄)⋊₂₁C₂ = C₄×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):21C2	448,997
(D₇×C₂²×C₄)⋊₂₂C₂ = C₄²⋊₁₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):22C2	448,1000
(D₇×C₂²×C₄)⋊₂₃C₂ = D₇×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):23C2	448,1105
(D₇×C₂²×C₄)⋊₂₄C₂ = C₄⋊C₄⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4):24C2	448,1109
(D₇×C₂²×C₄)⋊₂₅C₂ = C₂×C₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):25C2	448,1241
(D₇×C₂²×C₄)⋊₂₆C₂ = C₂²×C₄○D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4):26C2	448,1368

Non-split extensions G=N.Q with N=D₇×C₂²×C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₇×C₂²×C₄).₁C₂ = C₄⋊(D₁₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).1C2	448,521
(D₇×C₂²×C₄).₂C₂ = D₁₄⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4).2C2	448,660
(D₇×C₂²×C₄).₃C₂ = C₂×D₇×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).3C2	448,954
(D₇×C₂²×C₄).₄C₂ = C₂×C₄⋊C₄⋊₇D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).4C2	448,955
(D₇×C₂²×C₄).₅C₂ = C₂×D₁₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).5C2	448,962
(D₇×C₂²×C₄).₆C₂ = D₇×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4).6C2	448,973
(D₇×C₂²×C₄).₇C₂ = D₇×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4).7C2	448,1079
(D₇×C₂²×C₄).₈C₂ = C₂×D₇×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4).8C2	448,1196
(D₇×C₂²×C₄).₉C₂ = C₂×D₁₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).9C2	448,1266
(D₇×C₂²×C₄).₁₀C₂ = C₂²×Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).10C2	448,1372
(D₇×C₂²×C₄).₁₁C₂ = D₇×C₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).11C2	448,197
(D₇×C₂²×C₄).₁₂C₂ = C₂².₅₈(D₄×D₇)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).12C2	448,198
(D₇×C₂²×C₄).₁₃C₂ = D₁₄⋊C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).13C2	448,200
(D₇×C₂²×C₄).₁₄C₂ = D₁₄⋊(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).14C2	448,201
(D₇×C₂²×C₄).₁₅C₂ = D₁₄⋊C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).15C2	448,202
(D₇×C₂²×C₄).₁₆C₂ = D₇×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4).16C2	448,258
(D₇×C₂²×C₄).₁₇C₂ = D₁₄⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	112	(D7xC2^2xC4).17C2	448,260
(D₇×C₂²×C₄).₁₈C₂ = C₄×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).18C2	448,472
(D₇×C₂²×C₄).₁₉C₂ = D₁₄⋊C₄⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).19C2	448,523
(D₇×C₂²×C₄).₂₀C₂ = C₂×D₁₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).20C2	448,642
(D₇×C₂²×C₄).₂₁C₂ = C₂×C₄²⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).21C2	448,925
(D₇×C₂²×C₄).₂₂C₂ = C₂×D₁₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).22C2	448,961
(D₇×C₂²×C₄).₂₃C₂ = C₂²×C₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₂²×C₄	224	(D7xC2^2xC4).23C2	448,1190
(D₇×C₂²×C₄).₂₄C₂ = D₇×C₂×C₄²	φ: trivial image	224	(D7xC2^2xC4).24C2	448,924
(D₇×C₂²×C₄).₂₅C₂ = D₇×C₂²×C₈	φ: trivial image	224	(D7xC2^2xC4).25C2	448,1189

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Extensions 1→N→G→Q→1 with N=D7×C22×C4 and Q=C2

Extensions 1→N→G→Q→1 with N=D₇×C₂²×C₄ and Q=C₂