Extensions 1→N→G→Q→1 with N=C₇×C₄²⋊C₂ and Q=C₂

Direct product G=N×Q with N=C₇×C₄²⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄²⋊C₂		224		C14xC4^2:C2	448,1297

Semidirect products G=N:Q with N=C₇×C₄²⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄²⋊C₂)⋊₁C₂ = C₄⋊C₄⋊₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):1C2	448,535
(C₇×C₄²⋊C₂)⋊₂C₂ = C₄.(C₂×D₂₈)	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):2C2	448,536
(C₇×C₄²⋊C₂)⋊₃C₂ = C₄⋊C₄.₂₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):3C2	448,537
(C₇×C₄²⋊C₂)⋊₄C₂ = C₄²⋊₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2):4C2	448,539
(C₇×C₄²⋊C₂)⋊₅C₂ = (C₂×D₂₈)⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2):5C2	448,540
(C₇×C₄²⋊C₂)⋊₆C₂ = D₇×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):6C2	448,973
(C₇×C₄²⋊C₂)⋊₇C₂ = C₄²⋊₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):7C2	448,974
(C₇×C₄²⋊C₂)⋊₈C₂ = C₄².₁₈₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):8C2	448,975
(C₇×C₄²⋊C₂)⋊₉C₂ = C₄².₉₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):9C2	448,976
(C₇×C₄²⋊C₂)⋊₁₀C₂ = C₄²⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):10C2	448,977
(C₇×C₄²⋊C₂)⋊₁₁C₂ = C₄²⋊₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):11C2	448,978
(C₇×C₄²⋊C₂)⋊₁₂C₂ = C₄².₉₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):12C2	448,979
(C₇×C₄²⋊C₂)⋊₁₃C₂ = C₄²⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):13C2	448,980
(C₇×C₄²⋊C₂)⋊₁₄C₂ = C₄².₉₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):14C2	448,981
(C₇×C₄²⋊C₂)⋊₁₅C₂ = C₄².₉₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):15C2	448,982
(C₇×C₄²⋊C₂)⋊₁₆C₂ = C₄².₉₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):16C2	448,983
(C₇×C₄²⋊C₂)⋊₁₇C₂ = C₄².₉₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):17C2	448,984
(C₇×C₄²⋊C₂)⋊₁₈C₂ = C₄².₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):18C2	448,985
(C₇×C₄²⋊C₂)⋊₁₉C₂ = C₄².₉₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):19C2	448,986
(C₇×C₄²⋊C₂)⋊₂₀C₂ = C₄².₉₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):20C2	448,987
(C₇×C₄²⋊C₂)⋊₂₁C₂ = C₄².₁₀₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):21C2	448,988
(C₇×C₄²⋊C₂)⋊₂₂C₂ = C₇×C₂³.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2):22C2	448,818
(C₇×C₄²⋊C₂)⋊₂₃C₂ = C₇×C₂³.₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):23C2	448,824
(C₇×C₄²⋊C₂)⋊₂₄C₂ = C₇×C₂³.₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):24C2	448,826
(C₇×C₄²⋊C₂)⋊₂₅C₂ = C₇×C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2):25C2	448,829
(C₇×C₄²⋊C₂)⋊₂₆C₂ = C₇×C₂³.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):26C2	448,890
(C₇×C₄²⋊C₂)⋊₂₇C₂ = C₇×C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):27C2	448,1301
(C₇×C₄²⋊C₂)⋊₂₈C₂ = C₇×C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):28C2	448,1303
(C₇×C₄²⋊C₂)⋊₂₉C₂ = C₇×C₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):29C2	448,1308
(C₇×C₄²⋊C₂)⋊₃₀C₂ = C₇×C₂³.₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):30C2	448,1312
(C₇×C₄²⋊C₂)⋊₃₁C₂ = C₇×C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):31C2	448,1318
(C₇×C₄²⋊C₂)⋊₃₂C₂ = C₇×C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):32C2	448,1319
(C₇×C₄²⋊C₂)⋊₃₃C₂ = C₇×C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):33C2	448,1323
(C₇×C₄²⋊C₂)⋊₃₄C₂ = C₇×C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):34C2	448,1325
(C₇×C₄²⋊C₂)⋊₃₅C₂ = C₇×C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2):35C2	448,1334
(C₇×C₄²⋊C₂)⋊₃₆C₂ = C₇×C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):36C2	448,1335
(C₇×C₄²⋊C₂)⋊₃₇C₂ = C₇×C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):37C2	448,1336
(C₇×C₄²⋊C₂)⋊₃₈C₂ = C₇×C₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):38C2	448,1338
(C₇×C₄²⋊C₂)⋊₃₉C₂ = C₇×C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2):39C2	448,1339
(C₇×C₄²⋊C₂)⋊₄₀C₂ = C₄○D₄×C₂₈	φ: trivial image	224		(C7xC4^2:C2):40C2	448,1300

Non-split extensions G=N.Q with N=C₇×C₄²⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄²⋊C₂).₁C₂ = C₄²⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2).1C2	448,88
(C₇×C₄²⋊C₂).₂C₂ = C₂₈.₂C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2).2C2	448,89
(C₇×C₄²⋊C₂).₃C₂ = (C₂×C₂₈).Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2).3C2	448,90
(C₇×C₄²⋊C₂).₄C₂ = C₂₈.(C₂×Q₈)	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).4C2	448,529
(C₇×C₄²⋊C₂).₅C₂ = C₄⋊C₄.₂₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).5C2	448,530
(C₇×C₄²⋊C₂).₆C₂ = C₂₈.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).6C2	448,531
(C₇×C₄²⋊C₂).₇C₂ = C₂₈.₄₅(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).7C2	448,532
(C₇×C₄²⋊C₂).₈C₂ = C₄².₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).8C2	448,533
(C₇×C₄²⋊C₂).₉C₂ = C₄².₁₈₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).9C2	448,534
(C₇×C₄²⋊C₂).₁₀C₂ = (C₂×C₄).₄₇D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).10C2	448,538
(C₇×C₄²⋊C₂).₁₁C₂ = C₄².₈₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).11C2	448,969
(C₇×C₄²⋊C₂).₁₂C₂ = C₄².₈₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).12C2	448,970
(C₇×C₄²⋊C₂).₁₃C₂ = C₄².₈₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).13C2	448,971
(C₇×C₄²⋊C₂).₁₄C₂ = C₄².₉₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).14C2	448,972
(C₇×C₄²⋊C₂).₁₅C₂ = C₇×C₄.₉C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2).15C2	448,141
(C₇×C₄²⋊C₂).₁₆C₂ = C₇×C₄²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112		(C7xC4^2:C2).16C2	448,143
(C₇×C₄²⋊C₂).₁₇C₂ = C₇×M₄(2)⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	112	4	(C7xC4^2:C2).17C2	448,148
(C₇×C₄²⋊C₂).₁₈C₂ = C₇×C₂³.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).18C2	448,827
(C₇×C₄²⋊C₂).₁₉C₂ = C₇×C₄².₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).19C2	448,832
(C₇×C₄²⋊C₂).₂₀C₂ = C₇×C₂³.₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).20C2	448,835
(C₇×C₄²⋊C₂).₂₁C₂ = C₇×M₄(2)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).21C2	448,836
(C₇×C₄²⋊C₂).₂₂C₂ = C₇×C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).22C2	448,841
(C₇×C₄²⋊C₂).₂₃C₂ = C₇×C₂³.₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).23C2	448,893
(C₇×C₄²⋊C₂).₂₄C₂ = C₇×C₂³.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).24C2	448,1302
(C₇×C₄²⋊C₂).₂₅C₂ = C₇×C₂³.₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).25C2	448,1316
(C₇×C₄²⋊C₂).₂₆C₂ = C₇×C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).26C2	448,1324
(C₇×C₄²⋊C₂).₂₇C₂ = C₇×C₂³.₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄²⋊C₂	224		(C7xC4^2:C2).27C2	448,1327
(C₇×C₄²⋊C₂).₂₈C₂ = C₇×C₈○₂M₄(2)	φ: trivial image	224		(C7xC4^2:C2).28C2	448,813

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Extensions 1→N→G→Q→1 with N=C7×C42⋊C2 and Q=C2

Extensions 1→N→G→Q→1 with N=C₇×C₄²⋊C₂ and Q=C₂