Extensions 1→N→G→Q→1 with N=C₂²xC₇:C₈ and Q=C₂

Direct product G=NxQ with N=C₂²xC₇:C₈ and Q=C₂

		d	ρ	Label	ID
C₂³xC₇:C₈		448		C2^3xC7:C8	448,1233

Semidirect products G=N:Q with N=C₂²xC₇:C₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₂²xC₇:C₈):₁C₂ = C₂xC₁₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):1C2	448,499
(C₂²xC₇:C₈):₂C₂ = C₄.(C₂xD₂₈)	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):2C2	448,536
(C₂²xC₇:C₈):₃C₂ = C₇:C₈:₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):3C2	448,572
(C₂²xC₇:C₈):₄C₂ = C₇:C₈:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):4C2	448,575
(C₂²xC₇:C₈):₅C₂ = C₇:C₈:₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):5C2	448,582
(C₂²xC₇:C₈):₆C₂ = (C₂xD₂₈).₁₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):6C2	448,663
(C₂²xC₇:C₈):₇C₂ = C₂xD₄:Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):7C2	448,748
(C₂²xC₇:C₈):₈C₂ = C₂₈.(C₂xD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):8C2	448,767
(C₂²xC₇:C₈):₉C₂ = (D₄xC₁₄).₁₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):9C2	448,768
(C₂²xC₇:C₈):₁₀C₂ = C₂xD₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):10C2	448,1197
(C₂²xC₇:C₈):₁₁C₂ = C₂²xD₄:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):11C2	448,1245
(C₂²xC₇:C₈):₁₂C₂ = C₂²xD₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):12C2	448,1247
(C₂²xC₇:C₈):₁₃C₂ = C₂²xQ₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):13C2	448,1260
(C₂²xC₇:C₈):₁₄C₂ = C₂xQ₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):14C2	448,1271
(C₂²xC₇:C₈):₁₅C₂ = C₂xD₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):15C2	448,1274
(C₂²xC₇:C₈):₁₆C₂ = C₇:D₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):16C2	448,259
(C₂²xC₇:C₈):₁₇C₂ = C₇:C₈:₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):17C2	448,264
(C₂²xC₇:C₈):₁₈C₂ = D₄xC₇:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):18C2	448,544
(C₂²xC₇:C₈):₁₉C₂ = C₄².₄₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):19C2	448,545
(C₂²xC₇:C₈):₂₀C₂ = C₂xD₁₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):20C2	448,642
(C₂²xC₇:C₈):₂₁C₂ = C₂xC₂₈.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):21C2	448,740
(C₂²xC₇:C₈):₂₂C₂ = C₂²xC₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):22C2	448,1190
(C₂²xC₇:C₈):₂₃C₂ = C₂²xC₄.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8):23C2	448,1234
(C₂²xC₇:C₈):₂₄C₂ = D₇xC₂²xC₈	φ: trivial image	224	(C2^2xC7:C8):24C2	448,1189

Non-split extensions G=N.Q with N=C₂²xC₇:C₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₂²xC₇:C₈).₁C₂ = C₂₈.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).1C2	448,86
(C₂²xC₇:C₈).₂C₂ = C₂₈.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).2C2	448,115
(C₂²xC₇:C₈).₃C₂ = C₂xC₂₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).3C2	448,496
(C₂²xC₇:C₈).₄C₂ = C₂xC₄.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).4C2	448,497
(C₂²xC₇:C₈).₅C₂ = C₂xC₁₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).5C2	448,503
(C₂²xC₇:C₈).₆C₂ = C₂₈.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).6C2	448,531
(C₂²xC₇:C₈).₇C₂ = C₂₈.₄₅(C₄:C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).7C2	448,532
(C₂²xC₇:C₈).₈C₂ = C₄².₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).8C2	448,533
(C₂²xC₇:C₈).₉C₂ = C₇:C₈.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).9C2	448,585
(C₂²xC₇:C₈).₁₀C₂ = C₂₈.₄₃₉(C₂xD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).10C2	448,653
(C₂²xC₇:C₈).₁₁C₂ = C₂₈.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).11C2	448,656
(C₂²xC₇:C₈).₁₂C₂ = C₂xC₂₈.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	224	(C2^2xC7:C8).12C2	448,657
(C₂²xC₇:C₈).₁₃C₂ = C₂xQ₈:Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).13C2	448,758
(C₂²xC₇:C₈).₁₄C₂ = C₂²xC₇:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).14C2	448,1262
(C₂²xC₇:C₈).₁₅C₂ = (C₂xC₂₈):₃C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).15C2	448,81
(C₂²xC₇:C₈).₁₆C₂ = (C₂xC₅₆):₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).16C2	448,107
(C₂²xC₇:C₈).₁₇C₂ = C₂xC₄².D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).17C2	448,455
(C₂²xC₇:C₈).₁₈C₂ = C₂xC₂₈:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).18C2	448,457
(C₂²xC₇:C₈).₁₉C₂ = C₂xDic₇:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).19C2	448,633
(C₂²xC₇:C₈).₂₀C₂ = C₂xC₅₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₇:C₈	448	(C2^2xC7:C8).20C2	448,634
(C₂²xC₇:C₈).₂₁C₂ = C₂xC₄xC₇:C₈	φ: trivial image	448	(C2^2xC7:C8).21C2	448,454
(C₂²xC₇:C₈).₂₂C₂ = C₂xC₈xDic₇	φ: trivial image	448	(C2^2xC7:C8).22C2	448,632

Extensions 1→N→G→Q→1 with N=C22xC7:C8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂²xC₇:C₈ and Q=C₂