Extensions 1→N→G→Q→1 with N=C₂xC₄:C₄ and Q=C₁₄

Direct product G=NxQ with N=C₂xC₄:C₄ and Q=C₁₄

		d	ρ	Label	ID
C₄:C₄xC₂xC₁₄		448		C4:C4xC2xC14	448,1296

Semidirect products G=N:Q with N=C₂xC₄:C₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
(C₂xC₄:C₄):₁C₁₄ = C₇xC₂³.₇Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):1C14	448,788
(C₂xC₄:C₄):₂C₁₄ = C₇xC₂³.₈Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):2C14	448,793
(C₂xC₄:C₄):₃C₁₄ = C₇xC₂⁴.C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):3C14	448,796
(C₂xC₄:C₄):₄C₁₄ = C₇xC₂⁴.₃C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):4C14	448,798
(C₂xC₄:C₄):₅C₁₄ = C₇xC₂³.₁₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):5C14	448,802
(C₂xC₄:C₄):₆C₁₄ = C₇xC₂³.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):6C14	448,804
(C₂xC₄:C₄):₇C₁₄ = C₇xC₂³.₁₁D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):7C14	448,805
(C₂xC₄:C₄):₈C₁₄ = C₇xC₂³.₄Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):8C14	448,807
(C₂xC₄:C₄):₉C₁₄ = C₁₄xD₄:C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):9C14	448,822
(C₂xC₄:C₄):₁₀C₁₄ = C₇xC₂³.₃₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):10C14	448,825
(C₂xC₄:C₄):₁₁C₁₄ = C₇xC₂².D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):11C14	448,888
(C₂xC₄:C₄):₁₂C₁₄ = C₇xC₂³.₄₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):12C14	448,889
(C₂xC₄:C₄):₁₃C₁₄ = C₇xC₂³.₃₃C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):13C14	448,1303
(C₂xC₄:C₄):₁₄C₁₄ = C₁₄xC₄:D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):14C14	448,1305
(C₂xC₄:C₄):₁₅C₁₄ = C₁₄xC₂²:Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):15C14	448,1306
(C₂xC₄:C₄):₁₆C₁₄ = C₁₄xC₂².D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):16C14	448,1307
(C₂xC₄:C₄):₁₇C₁₄ = C₁₄xC₄²:₂C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):17C14	448,1311
(C₂xC₄:C₄):₁₈C₁₄ = C₇xC₂².₃₁C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):18C14	448,1320
(C₂xC₄:C₄):₁₉C₁₄ = C₇xC₂².₃₃C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):19C14	448,1322
(C₂xC₄:C₄):₂₀C₁₄ = C₇xD₄:₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):20C14	448,1330
(C₂xC₄:C₄):₂₁C₁₄ = C₇xC₂².₄₆C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):21C14	448,1335
(C₂xC₄:C₄):₂₂C₁₄ = C₇xC₂².₄₇C₂⁴	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):22C14	448,1336
(C₂xC₄:C₄):₂₃C₁₄ = C₇xD₄:₃Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4):23C14	448,1337
(C₂xC₄:C₄):₂₄C₁₄ = C₁₄xC₄²:C₂	φ: trivial image	224	(C2xC4:C4):24C14	448,1297
(C₂xC₄:C₄):₂₅C₁₄ = D₄xC₂xC₂₈	φ: trivial image	224	(C2xC4:C4):25C14	448,1298

Non-split extensions G=N.Q with N=C₂xC₄:C₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
(C₂xC₄:C₄).₁C₁₄ = C₇xC₂².M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4).1C14	448,128
(C₂xC₄:C₄).₂C₁₄ = C₇xC₂².₄Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).2C14	448,144
(C₂xC₄:C₄).₃C₁₄ = C₇xC₂².C₄²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4).3C14	448,147
(C₂xC₄:C₄).₄C₁₄ = C₇xC₄²:₈C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).4C14	448,790
(C₂xC₄:C₄).₅C₁₄ = C₇xC₄²:₉C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).5C14	448,792
(C₂xC₄:C₄).₆C₁₄ = C₇xC₂³.₆₃C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).6C14	448,795
(C₂xC₄:C₄).₇C₁₄ = C₇xC₂³.₆₅C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).7C14	448,797
(C₂xC₄:C₄).₈C₁₄ = C₇xC₂³.₆₇C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).8C14	448,799
(C₂xC₄:C₄).₉C₁₄ = C₇xC₂³.₇₈C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).9C14	448,803
(C₂xC₄:C₄).₁₀C₁₄ = C₇xC₂³.₈₁C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).10C14	448,806
(C₂xC₄:C₄).₁₁C₁₄ = C₇xC₂³.₈₃C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).11C14	448,808
(C₂xC₄:C₄).₁₂C₁₄ = C₁₄xQ₈:C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).12C14	448,823
(C₂xC₄:C₄).₁₃C₁₄ = C₁₄xC₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).13C14	448,833
(C₂xC₄:C₄).₁₄C₁₄ = C₁₄xC₂.D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).14C14	448,834
(C₂xC₄:C₄).₁₅C₁₄ = C₇xM₄(2):C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4).15C14	448,836
(C₂xC₄:C₄).₁₆C₁₄ = C₇xC₂³.₄₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4).16C14	448,891
(C₂xC₄:C₄).₁₇C₁₄ = C₇xC₂³.₄₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4).17C14	448,892
(C₂xC₄:C₄).₁₈C₁₄ = C₁₄xC₄².C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).18C14	448,1310
(C₂xC₄:C₄).₁₉C₁₄ = C₁₄xC₄:Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	448	(C2xC4:C4).19C14	448,1314
(C₂xC₄:C₄).₂₀C₁₄ = C₇xC₂³.₄₁C₂³	φ: C₁₄/C₇ → C₂ ⊆ Out C₂xC₄:C₄	224	(C2xC4:C4).20C14	448,1327
(C₂xC₄:C₄).₂₁C₁₄ = C₄:C₄xC₂₈	φ: trivial image	448	(C2xC4:C4).21C14	448,786
(C₂xC₄:C₄).₂₂C₁₄ = Q₈xC₂xC₂₈	φ: trivial image	448	(C2xC4:C4).22C14	448,1299

Extensions 1→N→G→Q→1 with N=C2xC4:C4 and Q=C14

Extensions 1→N→G→Q→1 with N=C₂xC₄:C₄ and Q=C₁₄