Extensions 1→N→G→Q→1 with N=C₂xC₁₆ and Q=D₅

Direct product G=NxQ with N=C₂xC₁₆ and Q=D₅

		d	ρ	Label	ID
D₅xC₂xC₁₆		160		D5xC2xC16	320,526

Semidirect products G=N:Q with N=C₂xC₁₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₆):₁D₅ = D₁₀:₁C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160		(C2xC16):1D5	320,65
(C₂xC₁₆):₂D₅ = D₂₀.₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160	2	(C2xC16):2D5	320,66
(C₂xC₁₆):₃D₅ = D₄₀:₇C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160		(C2xC16):3D5	320,67
(C₂xC₁₆):₄D₅ = D₄₀.₃C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160	2	(C2xC16):4D5	320,68
(C₂xC₁₆):₅D₅ = C₂xD₈₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160		(C2xC16):5D5	320,529
(C₂xC₁₆):₆D₅ = D₈₀:₇C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160	2	(C2xC16):6D5	320,531
(C₂xC₁₆):₇D₅ = C₂xC₁₆:D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160		(C2xC16):7D5	320,530
(C₂xC₁₆):₈D₅ = C₂xC₈₀:C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160		(C2xC16):8D5	320,527
(C₂xC₁₆):₉D₅ = D₂₀.₆C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160	2	(C2xC16):9D5	320,528

Non-split extensions G=N.Q with N=C₂xC₁₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₆).₁D₅ = C₄₀.₈₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	320		(C2xC16).1D5	320,59
(C₂xC₁₆).₂D₅ = C₄₀.₇₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	320		(C2xC16).2D5	320,61
(C₂xC₁₆).₃D₅ = C₈₀:₁₃C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	320		(C2xC16).3D5	320,62
(C₂xC₁₆).₄D₅ = C₂xDic₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	320		(C2xC16).4D5	320,532
(C₂xC₁₆).₅D₅ = C₈₀.₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160	2	(C2xC16).5D5	320,64
(C₂xC₁₆).₆D₅ = C₈₀:₁₄C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	320		(C2xC16).6D5	320,63
(C₂xC₁₆).₇D₅ = C₈₀.₉C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	160	2	(C2xC16).7D5	320,57
(C₂xC₁₆).₈D₅ = C₈₀:₁₇C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₁₆	320		(C2xC16).8D5	320,60
(C₂xC₁₆).₉D₅ = C₂xC₅:₂C₃₂	central extension (φ=1)	320		(C2xC16).9D5	320,56
(C₂xC₁₆).₁₀D₅ = C₁₆xDic₅	central extension (φ=1)	320		(C2xC16).10D5	320,58

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