Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=SD₁₆

Direct product G=N×Q with N=C₂×C₁₀ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆×C₂×C₁₀		160		SD16xC2xC10	320,1572

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₁₀)⋊₁SD₁₆ = D₂₀.₃₁D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80	(C2xC10):1SD16	320,358
(C₂×C₁₀)⋊₂SD₁₆ = Dic₁₀⋊₁₄D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	(C2xC10):2SD16	320,365
(C₂×C₁₀)⋊₃SD₁₆ = Dic₁₀⋊₁₇D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	(C2xC10):3SD16	320,667
(C₂×C₁₀)⋊₄SD₁₆ = C₅⋊₂C₈⋊₂₃D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	(C2xC10):4SD16	320,668
(C₂×C₁₀)⋊₅SD₁₆ = D₂₀.₃₆D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80	(C2xC10):5SD16	320,673
(C₂×C₁₀)⋊₆SD₁₆ = C₅⋊₂C₈⋊₂₄D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	(C2xC10):6SD16	320,675
(C₂×C₁₀)⋊₇SD₁₆ = C₅×C₈⋊₈D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):7SD16	320,966
(C₂×C₁₀)⋊₈SD₁₆ = C₄₀⋊₃₀D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):8SD16	320,741
(C₂×C₁₀)⋊₉SD₁₆ = C₂²×C₄₀⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):9SD16	320,1411
(C₂×C₁₀)⋊₁₀SD₁₆ = C₅×C₂²⋊SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80	(C2xC10):10SD16	320,951
(C₂×C₁₀)⋊₁₁SD₁₆ = (C₅×D₄).₃₁D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80	(C2xC10):11SD16	320,845
(C₂×C₁₀)⋊₁₂SD₁₆ = C₂²×D₄.D₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):12SD16	320,1466
(C₂×C₁₀)⋊₁₃SD₁₆ = C₅×Q₈⋊D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):13SD16	320,949
(C₂×C₁₀)⋊₁₄SD₁₆ = (C₅×Q₈)⋊₁₃D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):14SD16	320,854
(C₂×C₁₀)⋊₁₅SD₁₆ = C₂²×Q₈⋊D₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):15SD16	320,1479

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁SD₁₆ = C₂³.₃₀D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80		(C2xC10).1SD16	320,25
(C₂×C₁₀).₂SD₁₆ = C₂².₂D₄₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80		(C2xC10).2SD16	320,28
(C₂×C₁₀).₃SD₁₆ = C₄₀.₆Q₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80	4	(C2xC10).3SD16	320,52
(C₂×C₁₀).₄SD₁₆ = D₄₀.₆C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80	4+	(C2xC10).4SD16	320,53
(C₂×C₁₀).₅SD₁₆ = C₄₀.₈D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	4-	(C2xC10).5SD16	320,54
(C₂×C₁₀).₆SD₁₆ = D₄₀.₅C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	4	(C2xC10).6SD16	320,55
(C₂×C₁₀).₇SD₁₆ = C₄₀.Q₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80	4	(C2xC10).7SD16	320,71
(C₂×C₁₀).₈SD₁₆ = D₄₀.₄C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80	4+	(C2xC10).8SD16	320,74
(C₂×C₁₀).₉SD₁₆ = C₂₀.₄D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	4-	(C2xC10).9SD16	320,75
(C₂×C₁₀).₁₀SD₁₆ = C₄⋊C₄⋊Dic₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80		(C2xC10).10SD16	320,95
(C₂×C₁₀).₁₁SD₁₆ = C₁₀.₂₉C₄≀C₂	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80		(C2xC10).11SD16	320,96
(C₂×C₁₀).₁₂SD₁₆ = C₂₀.₅₈D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	4	(C2xC10).12SD16	320,125
(C₂×C₁₀).₁₃SD₁₆ = C₂³.₃₄D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160		(C2xC10).13SD16	320,348
(C₂×C₁₀).₁₄SD₁₆ = C₂³.₃₈D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160		(C2xC10).14SD16	320,362
(C₂×C₁₀).₁₅SD₁₆ = C₄⋊D₄.D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160		(C2xC10).15SD16	320,661
(C₂×C₁₀).₁₆SD₁₆ = C₂²⋊Q₈.D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160		(C2xC10).16SD16	320,670
(C₂×C₁₀).₁₇SD₁₆ = C₅×D₈.C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	2	(C2xC10).17SD16	320,164
(C₂×C₁₀).₁₈SD₁₆ = D₄₀.₃C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	2	(C2xC10).18SD16	320,68
(C₂×C₁₀).₁₉SD₁₆ = C₂₀.₃₉C₄²	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).19SD16	320,109
(C₂×C₁₀).₂₀SD₁₆ = C₂×C₂₀.₄₄D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).20SD16	320,730
(C₂×C₁₀).₂₁SD₁₆ = C₂×C₄₀⋊₆C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).21SD16	320,731
(C₂×C₁₀).₂₂SD₁₆ = C₂×D₂₀⋊₅C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).22SD16	320,739
(C₂×C₁₀).₂₃SD₁₆ = C₅×C₂³.₃₁D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).23SD16	320,133
(C₂×C₁₀).₂₄SD₁₆ = C₅×M₅(2)⋊C₂	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80	4	(C2xC10).24SD16	320,166
(C₂×C₁₀).₂₅SD₁₆ = C₅×C₈.₁₇D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	160	4	(C2xC10).25SD16	320,167
(C₂×C₁₀).₂₆SD₁₆ = C₅×C₈.Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80	4	(C2xC10).26SD16	320,170
(C₂×C₁₀).₂₇SD₁₆ = C₅×C₂³.₄₇D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).27SD16	320,984
(C₂×C₁₀).₂₈SD₁₆ = C₄⋊Dic₅⋊C₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).28SD16	320,10
(C₂×C₁₀).₂₉SD₁₆ = C₈.Dic₁₀	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80	4	(C2xC10).29SD16	320,45
(C₂×C₁₀).₃₀SD₁₆ = D₈.Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	80	4	(C2xC10).30SD16	320,121
(C₂×C₁₀).₃₁SD₁₆ = Q₁₆.Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	160	4	(C2xC10).31SD16	320,123
(C₂×C₁₀).₃₂SD₁₆ = C₂×C₁₀.Q₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).32SD16	320,596
(C₂×C₁₀).₃₃SD₁₆ = C₄⋊C₄.₂₃₁D₁₀	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).33SD16	320,598
(C₂×C₁₀).₃₄SD₁₆ = C₂×D₄⋊Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).34SD16	320,841
(C₂×C₁₀).₃₅SD₁₆ = C₅×C₂².SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).35SD16	320,132
(C₂×C₁₀).₃₆SD₁₆ = C₅×C₂³.₄₆D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).36SD16	320,982
(C₂×C₁₀).₃₇SD₁₆ = (C₂×D₂₀)⋊C₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).37SD16	320,9
(C₂×C₁₀).₃₈SD₁₆ = C₂₀.₃₁C₄²	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).38SD16	320,87
(C₂×C₁₀).₃₉SD₁₆ = C₂×C₂₀.Q₈	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).39SD16	320,590
(C₂×C₁₀).₄₀SD₁₆ = C₂×D₂₀⋊₆C₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).40SD16	320,592
(C₂×C₁₀).₄₁SD₁₆ = C₄⋊C₄.₂₂₈D₁₀	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).41SD16	320,595
(C₂×C₁₀).₄₂SD₁₆ = C₂×Q₈⋊Dic₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).42SD16	320,851
(C₂×C₁₀).₄₃SD₁₆ = C₅×C₂².₄Q₁₆	central extension (φ=1)	320		(C2xC10).43SD16	320,145
(C₂×C₁₀).₄₄SD₁₆ = C₁₀×D₄⋊C₄	central extension (φ=1)	160		(C2xC10).44SD16	320,915
(C₂×C₁₀).₄₅SD₁₆ = C₁₀×Q₈⋊C₄	central extension (φ=1)	320		(C2xC10).45SD16	320,916
(C₂×C₁₀).₄₆SD₁₆ = C₁₀×C₄.Q₈	central extension (φ=1)	320		(C2xC10).46SD16	320,926

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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=SD16

Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=SD₁₆