Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=SD₁₆

Direct product G=NxQ with N=C₂xC₁₀ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆xC₂xC₁₀		160		SD16xC2xC10	320,1572

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₁₀):₁SD₁₆ = D₂₀.₃₁D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80	(C2xC10):1SD16	320,358
(C₂xC₁₀):₂SD₁₆ = Dic₁₀:₁₄D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):2SD16	320,365
(C₂xC₁₀):₃SD₁₆ = Dic₁₀:₁₇D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):3SD16	320,667
(C₂xC₁₀):₄SD₁₆ = C₅:₂C₈:₂₃D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):4SD16	320,668
(C₂xC₁₀):₅SD₁₆ = D₂₀.₃₆D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80	(C2xC10):5SD16	320,673
(C₂xC₁₀):₆SD₁₆ = C₅:₂C₈:₂₄D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	(C2xC10):6SD16	320,675
(C₂xC₁₀):₇SD₁₆ = C₅xC₈:₈D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):7SD16	320,966
(C₂xC₁₀):₈SD₁₆ = C₄₀:₃₀D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):8SD16	320,741
(C₂xC₁₀):₉SD₁₆ = C₂²xC₄₀:C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):9SD16	320,1411
(C₂xC₁₀):₁₀SD₁₆ = C₅xC₂²:SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80	(C2xC10):10SD16	320,951
(C₂xC₁₀):₁₁SD₁₆ = (C₅xD₄).₃₁D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80	(C2xC10):11SD16	320,845
(C₂xC₁₀):₁₂SD₁₆ = C₂²xD₄.D₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):12SD16	320,1466
(C₂xC₁₀):₁₃SD₁₆ = C₅xQ₈:D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):13SD16	320,949
(C₂xC₁₀):₁₄SD₁₆ = (C₅xQ₈):₁₃D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):14SD16	320,854
(C₂xC₁₀):₁₅SD₁₆ = C₂²xQ₈:D₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160	(C2xC10):15SD16	320,1479

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁SD₁₆ = C₂³.₃₀D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).1SD16	320,25
(C₂xC₁₀).₂SD₁₆ = C₂².₂D₄₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).2SD16	320,28
(C₂xC₁₀).₃SD₁₆ = C₄₀.₆Q₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80	4	(C2xC10).3SD16	320,52
(C₂xC₁₀).₄SD₁₆ = D₄₀.₆C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80	4+	(C2xC10).4SD16	320,53
(C₂xC₁₀).₅SD₁₆ = C₄₀.₈D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	4-	(C2xC10).5SD16	320,54
(C₂xC₁₀).₆SD₁₆ = D₄₀.₅C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	4	(C2xC10).6SD16	320,55
(C₂xC₁₀).₇SD₁₆ = C₄₀.Q₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80	4	(C2xC10).7SD16	320,71
(C₂xC₁₀).₈SD₁₆ = D₄₀.₄C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80	4+	(C2xC10).8SD16	320,74
(C₂xC₁₀).₉SD₁₆ = C₂₀.₄D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	4-	(C2xC10).9SD16	320,75
(C₂xC₁₀).₁₀SD₁₆ = C₄:C₄:Dic₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).10SD16	320,95
(C₂xC₁₀).₁₁SD₁₆ = C₁₀.₂₉C₄wrC₂	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	80		(C2xC10).11SD16	320,96
(C₂xC₁₀).₁₂SD₁₆ = C₂₀.₅₈D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160	4	(C2xC10).12SD16	320,125
(C₂xC₁₀).₁₃SD₁₆ = C₂³.₃₄D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).13SD16	320,348
(C₂xC₁₀).₁₄SD₁₆ = C₂³.₃₈D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).14SD16	320,362
(C₂xC₁₀).₁₅SD₁₆ = C₄:D₄.D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).15SD16	320,661
(C₂xC₁₀).₁₆SD₁₆ = C₂²:Q₈.D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂xC₁₀	160		(C2xC10).16SD16	320,670
(C₂xC₁₀).₁₇SD₁₆ = C₅xD₈.C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	2	(C2xC10).17SD16	320,164
(C₂xC₁₀).₁₈SD₁₆ = D₄₀.₃C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160	2	(C2xC10).18SD16	320,68
(C₂xC₁₀).₁₉SD₁₆ = C₂₀.₃₉C₄²	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).19SD16	320,109
(C₂xC₁₀).₂₀SD₁₆ = C₂xC₂₀.₄₄D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).20SD16	320,730
(C₂xC₁₀).₂₁SD₁₆ = C₂xC₄₀:₆C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).21SD16	320,731
(C₂xC₁₀).₂₂SD₁₆ = C₂xD₂₀:₅C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).22SD16	320,739
(C₂xC₁₀).₂₃SD₁₆ = C₅xC₂³.₃₁D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).23SD16	320,133
(C₂xC₁₀).₂₄SD₁₆ = C₅xM₅(2):C₂	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).24SD16	320,166
(C₂xC₁₀).₂₅SD₁₆ = C₅xC₈.₁₇D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	160	4	(C2xC10).25SD16	320,167
(C₂xC₁₀).₂₆SD₁₆ = C₅xC₈.Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).26SD16	320,170
(C₂xC₁₀).₂₇SD₁₆ = C₅xC₂³.₄₇D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).27SD16	320,984
(C₂xC₁₀).₂₈SD₁₆ = C₄:Dic₅:C₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).28SD16	320,10
(C₂xC₁₀).₂₉SD₁₆ = C₈.Dic₁₀	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).29SD16	320,45
(C₂xC₁₀).₃₀SD₁₆ = D₈.Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).30SD16	320,121
(C₂xC₁₀).₃₁SD₁₆ = Q₁₆.Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	160	4	(C2xC10).31SD16	320,123
(C₂xC₁₀).₃₂SD₁₆ = C₂xC₁₀.Q₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).32SD16	320,596
(C₂xC₁₀).₃₃SD₁₆ = C₄:C₄.₂₃₁D₁₀	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).33SD16	320,598
(C₂xC₁₀).₃₄SD₁₆ = C₂xD₄:Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).34SD16	320,841
(C₂xC₁₀).₃₅SD₁₆ = C₅xC₂².SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).35SD16	320,132
(C₂xC₁₀).₃₆SD₁₆ = C₅xC₂³.₄₆D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).36SD16	320,982
(C₂xC₁₀).₃₇SD₁₆ = (C₂xD₂₀):C₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10).37SD16	320,9
(C₂xC₁₀).₃₈SD₁₆ = C₂₀.₃₁C₄²	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).38SD16	320,87
(C₂xC₁₀).₃₉SD₁₆ = C₂xC₂₀.Q₈	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).39SD16	320,590
(C₂xC₁₀).₄₀SD₁₆ = C₂xD₂₀:₆C₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).40SD16	320,592
(C₂xC₁₀).₄₁SD₁₆ = C₄:C₄.₂₂₈D₁₀	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).41SD16	320,595
(C₂xC₁₀).₄₂SD₁₆ = C₂xQ₈:Dic₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂xC₁₀	320		(C2xC10).42SD16	320,851
(C₂xC₁₀).₄₃SD₁₆ = C₅xC₂².₄Q₁₆	central extension (φ=1)	320		(C2xC10).43SD16	320,145
(C₂xC₁₀).₄₄SD₁₆ = C₁₀xD₄:C₄	central extension (φ=1)	160		(C2xC10).44SD16	320,915
(C₂xC₁₀).₄₅SD₁₆ = C₁₀xQ₈:C₄	central extension (φ=1)	320		(C2xC10).45SD16	320,916
(C₂xC₁₀).₄₆SD₁₆ = C₁₀xC₄.Q₈	central extension (φ=1)	320		(C2xC10).46SD16	320,926

Extensions 1→N→G→Q→1 with N=C2xC10 and Q=SD16

Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=SD₁₆