Extensions 1→N→G→Q→1 with N=C₅×C₄².C₂ and Q=C₂

Direct product G=N×Q with N=C₅×C₄².C₂ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄².C₂		320		C10xC4^2.C2	320,1529

Semidirect products G=N:Q with N=C₅×C₄².C₂ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₅×C₄².C₂)⋊₁C₂ = D₂₀.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):1C2	320,693
(C₅×C₄².C₂)⋊₂C₂ = C₄².₇₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):2C2	320,694
(C₅×C₄².C₂)⋊₃C₂ = C₄².₂₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):3C2	320,695
(C₅×C₄².C₂)⋊₄C₂ = D₅×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):4C2	320,1359
(C₅×C₄².C₂)⋊₅C₂ = C₄².₂₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):5C2	320,1360
(C₅×C₄².C₂)⋊₆C₂ = C₄².₁₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):6C2	320,1361
(C₅×C₄².C₂)⋊₇C₂ = D₂₀⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):7C2	320,1362
(C₅×C₄².C₂)⋊₈C₂ = C₄².₂₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):8C2	320,1363
(C₅×C₄².C₂)⋊₉C₂ = C₄².₁₅₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):9C2	320,1364
(C₅×C₄².C₂)⋊₁₀C₂ = C₄².₁₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):10C2	320,1365
(C₅×C₄².C₂)⋊₁₁C₂ = C₄².₁₅₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):11C2	320,1366
(C₅×C₄².C₂)⋊₁₂C₂ = C₄².₁₅₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):12C2	320,1367
(C₅×C₄².C₂)⋊₁₃C₂ = C₄².₁₅₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):13C2	320,1368
(C₅×C₄².C₂)⋊₁₄C₂ = C₄².₁₅₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):14C2	320,1369
(C₅×C₄².C₂)⋊₁₅C₂ = C₄².₁₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):15C2	320,1370
(C₅×C₄².C₂)⋊₁₆C₂ = C₄².₁₅₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):16C2	320,1371
(C₅×C₄².C₂)⋊₁₇C₂ = C₄².₁₅₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):17C2	320,1372
(C₅×C₄².C₂)⋊₁₈C₂ = C₅×D₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):18C2	320,979
(C₅×C₄².C₂)⋊₁₉C₂ = C₅×C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):19C2	320,989
(C₅×C₄².C₂)⋊₂₀C₂ = C₅×C₄².₂₉C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):20C2	320,991
(C₅×C₄².C₂)⋊₂₁C₂ = C₅×C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):21C2	320,1541
(C₅×C₄².C₂)⋊₂₂C₂ = C₅×C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):22C2	320,1542
(C₅×C₄².C₂)⋊₂₃C₂ = C₅×C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):23C2	320,1543
(C₅×C₄².C₂)⋊₂₄C₂ = C₅×C₂³.₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):24C2	320,1546
(C₅×C₄².C₂)⋊₂₅C₂ = C₅×C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):25C2	320,1554
(C₅×C₄².C₂)⋊₂₆C₂ = C₅×C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):26C2	320,1555
(C₅×C₄².C₂)⋊₂₇C₂ = C₅×D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):27C2	320,1556
(C₅×C₄².C₂)⋊₂₈C₂ = C₅×C₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):28C2	320,1564
(C₅×C₄².C₂)⋊₂₉C₂ = C₅×C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	160	(C5xC4^2.C2):29C2	320,1565
(C₅×C₄².C₂)⋊₃₀C₂ = C₅×C₂³.₃₆C₂³	φ: trivial image	160	(C5xC4^2.C2):30C2	320,1531
(C₅×C₄².C₂)⋊₃₁C₂ = C₅×C₂³.₃₇C₂³	φ: trivial image	160	(C5xC4^2.C2):31C2	320,1535

Non-split extensions G=N.Q with N=C₅×C₄².C₂ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₅×C₄².C₂).₁C₂ = Dic₁₀.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).1C2	320,690
(C₅×C₄².C₂).₂C₂ = C₄².₂₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).2C2	320,691
(C₅×C₄².C₂).₃C₂ = C₄².₆₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).3C2	320,692
(C₅×C₄².C₂).₄C₂ = C₄².₇₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).4C2	320,696
(C₅×C₄².C₂).₅C₂ = Dic₁₀⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).5C2	320,1357
(C₅×C₄².C₂).₆C₂ = C₄².₁₄₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).6C2	320,1358
(C₅×C₄².C₂).₇C₂ = C₄².₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).7C2	320,101
(C₅×C₄².C₂).₈C₂ = C₅×C₄².₂C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).8C2	320,135
(C₅×C₄².C₂).₉C₂ = C₅×Q₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).9C2	320,980
(C₅×C₄².C₂).₁₀C₂ = C₅×C₄².₃₀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).10C2	320,992
(C₅×C₄².C₂).₁₁C₂ = C₅×C₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).11C2	320,1000
(C₅×C₄².C₂).₁₂C₂ = C₅×C₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).12C2	320,1002
(C₅×C₄².C₂).₁₃C₂ = C₅×Q₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).13C2	320,1559
(C₅×C₄².C₂).₁₄C₂ = C₅×C₂².₅₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄².C₂	320	(C5xC4^2.C2).14C2	320,1566

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Extensions 1→N→G→Q→1 with N=C5×C42.C2 and Q=C2

Extensions 1→N→G→Q→1 with N=C₅×C₄².C₂ and Q=C₂