Extensions 1→N→G→Q→1 with N=C₂xD₄₀ and Q=C₂

Direct product G=NxQ with N=C₂xD₄₀ and Q=C₂

		d	ρ	Label	ID
C₂²xD₄₀		160		C2^2xD40	320,1412

Semidirect products G=N:Q with N=C₂xD₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄₀):₁C₂ = C₂₀:₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):1C2	320,322
(C₂xD₄₀):₂C₂ = D₂₀:₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80		(C2xD40):2C2	320,359
(C₂xD₄₀):₃C₂ = D₂₀:₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):3C2	320,361
(C₂xD₄₀):₄C₂ = D₄:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80		(C2xD40):4C2	320,400
(C₂xD₄₀):₅C₂ = D₂₀:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):5C2	320,413
(C₂xD₄₀):₆C₂ = D₂₀:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):6C2	320,438
(C₂xD₄₀):₇C₂ = C₄:D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):7C2	320,470
(C₂xD₄₀):₈C₂ = C₂xD₈₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):8C2	320,529
(C₂xD₄₀):₉C₂ = C₄₀:₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):9C2	320,742
(C₂xD₄₀):₁₀C₂ = C₈:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):10C2	320,339
(C₂xD₄₀):₁₁C₂ = D₈₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40):11C2	320,535
(C₂xD₄₀):₁₂C₂ = C₄₀:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):12C2	320,762
(C₂xD₄₀):₁₃C₂ = D₄.₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40):13C2	320,769
(C₂xD₄₀):₁₄C₂ = C₂xC₈:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80		(C2xD40):14C2	320,1418
(C₂xD₄₀):₁₅C₂ = D₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40):15C2	320,1424
(C₂xD₄₀):₁₆C₂ = C₈:₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):16C2	320,510
(C₂xD₄₀):₁₇C₂ = C₂xC₅:D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):17C2	320,773
(C₂xD₄₀):₁₈C₂ = C₄₀:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):18C2	320,778
(C₂xD₄₀):₁₉C₂ = C₂xD₅xD₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80		(C2xD40):19C2	320,1426
(C₂xD₄₀):₂₀C₂ = C₂xQ₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):20C2	320,1437
(C₂xD₄₀):₂₁C₂ = C₈.₂₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40):21C2	320,524
(C₂xD₄₀):₂₂C₂ = D₈:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40):22C2	320,820
(C₂xD₄₀):₂₃C₂ = D₈:₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40):23C2	320,1441
(C₂xD₄₀):₂₄C₂ = C₈:₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):24C2	320,492
(C₂xD₄₀):₂₅C₂ = C₄₀:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40):25C2	320,803
(C₂xD₄₀):₂₆C₂ = C₂xD₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80		(C2xD40):26C2	320,1431
(C₂xD₄₀):₂₇C₂ = C₂xD₄₀:₇C₂	φ: trivial image	160		(C2xD40):27C2	320,1413

Non-split extensions G=N.Q with N=C₂xD₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄₀).₁C₂ = D₄₀:₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).1C2	320,67
(C₂xD₄₀).₂C₂ = C₈.₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).2C2	320,323
(C₂xD₄₀).₃C₂ = D₂₀.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).3C2	320,446
(C₂xD₄₀).₄C₂ = D₂₀.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).4C2	320,471
(C₂xD₄₀).₅C₂ = C₂xC₁₆:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).5C2	320,530
(C₂xD₄₀).₆C₂ = D₄₀.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40).6C2	320,74
(C₂xD₄₀).₇C₂ = D₄₀:₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).7C2	320,338
(C₂xD₄₀).₈C₂ = C₄₀.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).8C2	320,49
(C₂xD₄₀).₉C₂ = D₄₀:₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).9C2	320,499
(C₂xD₄₀).₁₀C₂ = C₂xC₅:SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).10C2	320,805
(C₂xD₄₀).₁₁C₂ = C₄₀.₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).11C2	320,818
(C₂xD₄₀).₁₂C₂ = D₄₀.₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	80	4+	(C2xD40).12C2	320,53
(C₂xD₄₀).₁₃C₂ = D₄₀:₁₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xD₄₀	160		(C2xD40).13C2	320,496
(C₂xD₄₀).₁₄C₂ = C₄xD₄₀	φ: trivial image	160		(C2xD40).14C2	320,319

Extensions 1→N→G→Q→1 with N=C2xD40 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂xD₄₀ and Q=C₂