Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=Q₁₆

Direct product G=NxQ with N=C₂xC₁₀ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆xC₂xC₁₀		320		Q16xC2xC10	320,1573

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₁₀):₁Q₁₆ = C₂²:Dic₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):1Q16	320,366
(C₂xC₁₀):₂Q₁₆ = Dic₁₀.₃₇D₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):2Q16	320,677
(C₂xC₁₀):₃Q₁₆ = (C₂xC₁₀):Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):3Q16	320,678
(C₂xC₁₀):₄Q₁₆ = C₅xC₈.₁₈D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):4Q16	320,968
(C₂xC₁₀):₅Q₁₆ = C₄₀.₈₂D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):5Q16	320,743
(C₂xC₁₀):₆Q₁₆ = C₂²xDic₂₀	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	320	(C2xC10):6Q16	320,1414
(C₂xC₁₀):₇Q₁₆ = C₅xC₂²:Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):7Q16	320,952
(C₂xC₁₀):₈Q₁₆ = (C₂xC₁₀):₈Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):8Q16	320,855
(C₂xC₁₀):₉Q₁₆ = C₂²xC₅:Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320	(C2xC10):9Q16	320,1481

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁Q₁₆ = C₂³.₃₀D₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).1Q16	320,25
(C₂xC₁₀).₂Q₁₆ = C₄₀.₇Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	4	(C2xC10).2Q16	320,51
(C₂xC₁₀).₃Q₁₆ = C₁₀.₂₉C₄wrC₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).3Q16	320,96
(C₂xC₁₀).₄Q₁₆ = C₂³.₃₅D₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).4Q16	320,349
(C₂xC₁₀).₅Q₁₆ = (C₂xC₁₀).Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).5Q16	320,671
(C₂xC₁₀).₆Q₁₆ = C₅xC₈.₄Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	2	(C2xC10).6Q16	320,173
(C₂xC₁₀).₇Q₁₆ = C₈₀.₆C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	2	(C2xC10).7Q16	320,64
(C₂xC₁₀).₈Q₁₆ = C₂₀.₃₉C₄²	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).8Q16	320,109
(C₂xC₁₀).₉Q₁₆ = C₂xC₂₀.₄₄D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).9Q16	320,730
(C₂xC₁₀).₁₀Q₁₆ = C₂xC₄₀:₅C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).10Q16	320,732
(C₂xC₁₀).₁₁Q₁₆ = C₅xC₂³.₃₁D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).11Q16	320,133
(C₂xC₁₀).₁₂Q₁₆ = C₅xC₂³.₄₈D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).12Q16	320,985
(C₂xC₁₀).₁₃Q₁₆ = C₄:Dic₅:C₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).13Q16	320,10
(C₂xC₁₀).₁₄Q₁₆ = C₂₀.₃₁C₄²	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).14Q16	320,87
(C₂xC₁₀).₁₅Q₁₆ = C₂xC₁₀.D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).15Q16	320,589
(C₂xC₁₀).₁₆Q₁₆ = C₂xC₁₀.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).16Q16	320,596
(C₂xC₁₀).₁₇Q₁₆ = C₄:C₄.₂₃₀D₁₀	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).17Q16	320,597
(C₂xC₁₀).₁₈Q₁₆ = C₂xQ₈:Dic₅	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).18Q16	320,851
(C₂xC₁₀).₁₉Q₁₆ = C₅xC₂².₄Q₁₆	central extension (φ=1)	320		(C2xC10).19Q16	320,145
(C₂xC₁₀).₂₀Q₁₆ = C₁₀xQ₈:C₄	central extension (φ=1)	320		(C2xC10).20Q16	320,916
(C₂xC₁₀).₂₁Q₁₆ = C₁₀xC₂.D₈	central extension (φ=1)	320		(C2xC10).21Q16	320,927

Extensions 1→N→G→Q→1 with N=C2xC10 and Q=Q16

Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=Q₁₆