Extensions 1→N→G→Q→1 with N=C₂×D₄₀ and Q=C₂

Direct product G=N×Q with N=C₂×D₄₀ and Q=C₂

		d	ρ	Label	ID
C₂²×D₄₀		160		C2^2xD40	320,1412

Semidirect products G=N:Q with N=C₂×D₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄₀)⋊₁C₂ = C₂₀⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):1C2	320,322
(C₂×D₄₀)⋊₂C₂ = D₂₀⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80		(C2xD40):2C2	320,359
(C₂×D₄₀)⋊₃C₂ = D₂₀⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):3C2	320,361
(C₂×D₄₀)⋊₄C₂ = D₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80		(C2xD40):4C2	320,400
(C₂×D₄₀)⋊₅C₂ = D₂₀⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):5C2	320,413
(C₂×D₄₀)⋊₆C₂ = D₂₀⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):6C2	320,438
(C₂×D₄₀)⋊₇C₂ = C₄⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):7C2	320,470
(C₂×D₄₀)⋊₈C₂ = C₂×D₈₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):8C2	320,529
(C₂×D₄₀)⋊₉C₂ = C₄₀⋊₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):9C2	320,742
(C₂×D₄₀)⋊₁₀C₂ = C₈⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):10C2	320,339
(C₂×D₄₀)⋊₁₁C₂ = D₈₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40):11C2	320,535
(C₂×D₄₀)⋊₁₂C₂ = C₄₀⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):12C2	320,762
(C₂×D₄₀)⋊₁₃C₂ = D₄.₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40):13C2	320,769
(C₂×D₄₀)⋊₁₄C₂ = C₂×C₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80		(C2xD40):14C2	320,1418
(C₂×D₄₀)⋊₁₅C₂ = D₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40):15C2	320,1424
(C₂×D₄₀)⋊₁₆C₂ = C₈⋊₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):16C2	320,510
(C₂×D₄₀)⋊₁₇C₂ = C₂×C₅⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):17C2	320,773
(C₂×D₄₀)⋊₁₈C₂ = C₄₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):18C2	320,778
(C₂×D₄₀)⋊₁₉C₂ = C₂×D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80		(C2xD40):19C2	320,1426
(C₂×D₄₀)⋊₂₀C₂ = C₂×Q₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):20C2	320,1437
(C₂×D₄₀)⋊₂₁C₂ = C₈.₂₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40):21C2	320,524
(C₂×D₄₀)⋊₂₂C₂ = D₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40):22C2	320,820
(C₂×D₄₀)⋊₂₃C₂ = D₈⋊₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40):23C2	320,1441
(C₂×D₄₀)⋊₂₄C₂ = C₈⋊₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):24C2	320,492
(C₂×D₄₀)⋊₂₅C₂ = C₄₀⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40):25C2	320,803
(C₂×D₄₀)⋊₂₆C₂ = C₂×D₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80		(C2xD40):26C2	320,1431
(C₂×D₄₀)⋊₂₇C₂ = C₂×D₄₀⋊₇C₂	φ: trivial image	160		(C2xD40):27C2	320,1413

Non-split extensions G=N.Q with N=C₂×D₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄₀).₁C₂ = D₄₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).1C2	320,67
(C₂×D₄₀).₂C₂ = C₈.₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).2C2	320,323
(C₂×D₄₀).₃C₂ = D₂₀.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).3C2	320,446
(C₂×D₄₀).₄C₂ = D₂₀.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).4C2	320,471
(C₂×D₄₀).₅C₂ = C₂×C₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).5C2	320,530
(C₂×D₄₀).₆C₂ = D₄₀.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40).6C2	320,74
(C₂×D₄₀).₇C₂ = D₄₀⋊₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).7C2	320,338
(C₂×D₄₀).₈C₂ = C₄₀.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).8C2	320,49
(C₂×D₄₀).₉C₂ = D₄₀⋊₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).9C2	320,499
(C₂×D₄₀).₁₀C₂ = C₂×C₅⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).10C2	320,805
(C₂×D₄₀).₁₁C₂ = C₄₀.₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).11C2	320,818
(C₂×D₄₀).₁₂C₂ = D₄₀.₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	80	4+	(C2xD40).12C2	320,53
(C₂×D₄₀).₁₃C₂ = D₄₀⋊₁₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₄₀	160		(C2xD40).13C2	320,496
(C₂×D₄₀).₁₄C₂ = C₄×D₄₀	φ: trivial image	160		(C2xD40).14C2	320,319

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Extensions 1→N→G→Q→1 with N=C2×D40 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂×D₄₀ and Q=C₂