Extensions 1→N→G→Q→1 with N=C₂xC₄:C₄ and Q=C₁₀

Direct product G=NxQ with N=C₂xC₄:C₄ and Q=C₁₀

		d	ρ	Label	ID
C₄:C₄xC₂xC₁₀		320		C4:C4xC2xC10	320,1515

Semidirect products G=N:Q with N=C₂xC₄:C₄ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
(C₂xC₄:C₄):₁C₁₀ = C₅xC₂³.₇Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):1C10	320,881
(C₂xC₄:C₄):₂C₁₀ = C₅xC₂³.₈Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):2C10	320,886
(C₂xC₄:C₄):₃C₁₀ = C₅xC₂⁴.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):3C10	320,889
(C₂xC₄:C₄):₄C₁₀ = C₅xC₂⁴.₃C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):4C10	320,891
(C₂xC₄:C₄):₅C₁₀ = C₅xC₂³.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):5C10	320,895
(C₂xC₄:C₄):₆C₁₀ = C₅xC₂³.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):6C10	320,897
(C₂xC₄:C₄):₇C₁₀ = C₅xC₂³.₁₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):7C10	320,898
(C₂xC₄:C₄):₈C₁₀ = C₅xC₂³.₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):8C10	320,900
(C₂xC₄:C₄):₉C₁₀ = C₁₀xD₄:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):9C10	320,915
(C₂xC₄:C₄):₁₀C₁₀ = C₅xC₂³.₃₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):10C10	320,918
(C₂xC₄:C₄):₁₁C₁₀ = C₅xC₂².D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):11C10	320,981
(C₂xC₄:C₄):₁₂C₁₀ = C₅xC₂³.₄₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):12C10	320,982
(C₂xC₄:C₄):₁₃C₁₀ = C₅xC₂³.₃₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):13C10	320,1522
(C₂xC₄:C₄):₁₄C₁₀ = C₁₀xC₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):14C10	320,1524
(C₂xC₄:C₄):₁₅C₁₀ = C₁₀xC₂²:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):15C10	320,1525
(C₂xC₄:C₄):₁₆C₁₀ = C₁₀xC₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):16C10	320,1526
(C₂xC₄:C₄):₁₇C₁₀ = C₁₀xC₄²:₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):17C10	320,1530
(C₂xC₄:C₄):₁₈C₁₀ = C₅xC₂².₃₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):18C10	320,1539
(C₂xC₄:C₄):₁₉C₁₀ = C₅xC₂².₃₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):19C10	320,1541
(C₂xC₄:C₄):₂₀C₁₀ = C₅xD₄:₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):20C10	320,1549
(C₂xC₄:C₄):₂₁C₁₀ = C₅xC₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):21C10	320,1554
(C₂xC₄:C₄):₂₂C₁₀ = C₅xC₂².₄₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):22C10	320,1555
(C₂xC₄:C₄):₂₃C₁₀ = C₅xD₄:₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4):23C10	320,1556
(C₂xC₄:C₄):₂₄C₁₀ = C₁₀xC₄²:C₂	φ: trivial image	160	(C2xC4:C4):24C10	320,1516
(C₂xC₄:C₄):₂₅C₁₀ = D₄xC₂xC₂₀	φ: trivial image	160	(C2xC4:C4):25C10	320,1517

Non-split extensions G=N.Q with N=C₂xC₄:C₄ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
(C₂xC₄:C₄).₁C₁₀ = C₅xC₂².M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4).1C10	320,129
(C₂xC₄:C₄).₂C₁₀ = C₅xC₂².₄Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).2C10	320,145
(C₂xC₄:C₄).₃C₁₀ = C₅xC₂².C₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4).3C10	320,148
(C₂xC₄:C₄).₄C₁₀ = C₅xC₄²:₈C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).4C10	320,883
(C₂xC₄:C₄).₅C₁₀ = C₅xC₄²:₉C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).5C10	320,885
(C₂xC₄:C₄).₆C₁₀ = C₅xC₂³.₆₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).6C10	320,888
(C₂xC₄:C₄).₇C₁₀ = C₅xC₂³.₆₅C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).7C10	320,890
(C₂xC₄:C₄).₈C₁₀ = C₅xC₂³.₆₇C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).8C10	320,892
(C₂xC₄:C₄).₉C₁₀ = C₅xC₂³.₇₈C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).9C10	320,896
(C₂xC₄:C₄).₁₀C₁₀ = C₅xC₂³.₈₁C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).10C10	320,899
(C₂xC₄:C₄).₁₁C₁₀ = C₅xC₂³.₈₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).11C10	320,901
(C₂xC₄:C₄).₁₂C₁₀ = C₁₀xQ₈:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).12C10	320,916
(C₂xC₄:C₄).₁₃C₁₀ = C₁₀xC₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).13C10	320,926
(C₂xC₄:C₄).₁₄C₁₀ = C₁₀xC₂.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).14C10	320,927
(C₂xC₄:C₄).₁₅C₁₀ = C₅xM₄(2):C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4).15C10	320,929
(C₂xC₄:C₄).₁₆C₁₀ = C₅xC₂³.₄₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4).16C10	320,984
(C₂xC₄:C₄).₁₇C₁₀ = C₅xC₂³.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4).17C10	320,985
(C₂xC₄:C₄).₁₈C₁₀ = C₁₀xC₄².C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).18C10	320,1529
(C₂xC₄:C₄).₁₉C₁₀ = C₁₀xC₄:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	320	(C2xC4:C4).19C10	320,1533
(C₂xC₄:C₄).₂₀C₁₀ = C₅xC₂³.₄₁C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄:C₄	160	(C2xC4:C4).20C10	320,1546
(C₂xC₄:C₄).₂₁C₁₀ = C₄:C₄xC₂₀	φ: trivial image	320	(C2xC4:C4).21C10	320,879
(C₂xC₄:C₄).₂₂C₁₀ = Q₈xC₂xC₂₀	φ: trivial image	320	(C2xC4:C4).22C10	320,1518

Extensions 1→N→G→Q→1 with N=C2xC4:C4 and Q=C10

Extensions 1→N→G→Q→1 with N=C₂xC₄:C₄ and Q=C₁₀