Extensions 1→N→G→Q→1 with N=C₂×C₁₆ and Q=D₅

Direct product G=N×Q with N=C₂×C₁₆ and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₁₆		160		D5xC2xC16	320,526

Semidirect products G=N:Q with N=C₂×C₁₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆)⋊₁D₅ = D₁₀⋊₁C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):1D5	320,65
(C₂×C₁₆)⋊₂D₅ = D₂₀.₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):2D5	320,66
(C₂×C₁₆)⋊₃D₅ = D₄₀⋊₇C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):3D5	320,67
(C₂×C₁₆)⋊₄D₅ = D₄₀.₃C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):4D5	320,68
(C₂×C₁₆)⋊₅D₅ = C₂×D₈₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):5D5	320,529
(C₂×C₁₆)⋊₆D₅ = D₈₀⋊₇C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):6D5	320,531
(C₂×C₁₆)⋊₇D₅ = C₂×C₁₆⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):7D5	320,530
(C₂×C₁₆)⋊₈D₅ = C₂×C₈₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160		(C2xC16):8D5	320,527
(C₂×C₁₆)⋊₉D₅ = D₂₀.₆C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16):9D5	320,528

Non-split extensions G=N.Q with N=C₂×C₁₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆).₁D₅ = C₄₀.₈₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).1D5	320,59
(C₂×C₁₆).₂D₅ = C₄₀.₇₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).2D5	320,61
(C₂×C₁₆).₃D₅ = C₈₀⋊₁₃C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).3D5	320,62
(C₂×C₁₆).₄D₅ = C₂×Dic₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).4D5	320,532
(C₂×C₁₆).₅D₅ = C₈₀.₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16).5D5	320,64
(C₂×C₁₆).₆D₅ = C₈₀⋊₁₄C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).6D5	320,63
(C₂×C₁₆).₇D₅ = C₈₀.₉C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	160	2	(C2xC16).7D5	320,57
(C₂×C₁₆).₈D₅ = C₈₀⋊₁₇C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₆	320		(C2xC16).8D5	320,60
(C₂×C₁₆).₉D₅ = C₂×C₅⋊₂C₃₂	central extension (φ=1)	320		(C2xC16).9D5	320,56
(C₂×C₁₆).₁₀D₅ = C₁₆×Dic₅	central extension (φ=1)	320		(C2xC16).10D5	320,58

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