Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=Q₁₆

Direct product G=N×Q with N=C₂×C₁₀ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂×C₁₀		320		Q16xC2xC10	320,1573

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₁₀)⋊₁Q₁₆ = C₂²⋊Dic₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	(C2xC10):1Q16	320,366
(C₂×C₁₀)⋊₂Q₁₆ = Dic₁₀.₃₇D₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	(C2xC10):2Q16	320,677
(C₂×C₁₀)⋊₃Q₁₆ = (C₂×C₁₀)⋊Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	(C2xC10):3Q16	320,678
(C₂×C₁₀)⋊₄Q₁₆ = C₅×C₈.₁₈D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):4Q16	320,968
(C₂×C₁₀)⋊₅Q₁₆ = C₄₀.₈₂D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):5Q16	320,743
(C₂×C₁₀)⋊₆Q₁₆ = C₂²×Dic₂₀	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320	(C2xC10):6Q16	320,1414
(C₂×C₁₀)⋊₇Q₁₆ = C₅×C₂²⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):7Q16	320,952
(C₂×C₁₀)⋊₈Q₁₆ = (C₂×C₁₀)⋊₈Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160	(C2xC10):8Q16	320,855
(C₂×C₁₀)⋊₉Q₁₆ = C₂²×C₅⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320	(C2xC10):9Q16	320,1481

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁Q₁₆ = C₂³.₃₀D₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80		(C2xC10).1Q16	320,25
(C₂×C₁₀).₂Q₁₆ = C₄₀.₇Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160	4	(C2xC10).2Q16	320,51
(C₂×C₁₀).₃Q₁₆ = C₁₀.₂₉C₄≀C₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	80		(C2xC10).3Q16	320,96
(C₂×C₁₀).₄Q₁₆ = C₂³.₃₅D₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160		(C2xC10).4Q16	320,349
(C₂×C₁₀).₅Q₁₆ = (C₂×C₁₀).Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₀	160		(C2xC10).5Q16	320,671
(C₂×C₁₀).₆Q₁₆ = C₅×C₈.₄Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	2	(C2xC10).6Q16	320,173
(C₂×C₁₀).₇Q₁₆ = C₈₀.₆C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	2	(C2xC10).7Q16	320,64
(C₂×C₁₀).₈Q₁₆ = C₂₀.₃₉C₄²	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).8Q16	320,109
(C₂×C₁₀).₉Q₁₆ = C₂×C₂₀.₄₄D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).9Q16	320,730
(C₂×C₁₀).₁₀Q₁₆ = C₂×C₄₀⋊₅C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).10Q16	320,732
(C₂×C₁₀).₁₁Q₁₆ = C₅×C₂³.₃₁D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).11Q16	320,133
(C₂×C₁₀).₁₂Q₁₆ = C₅×C₂³.₄₈D₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).12Q16	320,985
(C₂×C₁₀).₁₃Q₁₆ = C₄⋊Dic₅⋊C₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).13Q16	320,10
(C₂×C₁₀).₁₄Q₁₆ = C₂₀.₃₁C₄²	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).14Q16	320,87
(C₂×C₁₀).₁₅Q₁₆ = C₂×C₁₀.D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).15Q16	320,589
(C₂×C₁₀).₁₆Q₁₆ = C₂×C₁₀.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).16Q16	320,596
(C₂×C₁₀).₁₇Q₁₆ = C₄⋊C₄.₂₃₀D₁₀	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10).17Q16	320,597
(C₂×C₁₀).₁₈Q₁₆ = C₂×Q₈⋊Dic₅	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).18Q16	320,851
(C₂×C₁₀).₁₉Q₁₆ = C₅×C₂².₄Q₁₆	central extension (φ=1)	320		(C2xC10).19Q16	320,145
(C₂×C₁₀).₂₀Q₁₆ = C₁₀×Q₈⋊C₄	central extension (φ=1)	320		(C2xC10).20Q16	320,916
(C₂×C₁₀).₂₁Q₁₆ = C₁₀×C₂.D₈	central extension (φ=1)	320		(C2xC10).21Q16	320,927

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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=Q16

Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=Q₁₆