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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₆)⋊₁C₂ = D₅×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	80	4+	(D5xC16):1C2	320,537
(D₅×C₁₆)⋊₂C₂ = D₁₆⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4-	(D5xC16):2C2	320,539
(D₅×C₁₆)⋊₃C₂ = D₈₀⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4+	(D5xC16):3C2	320,546
(D₅×C₁₆)⋊₄C₂ = D₅×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	80	4	(D5xC16):4C2	320,540
(D₅×C₁₆)⋊₅C₂ = SD₃₂⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4	(D5xC16):5C2	320,543
(D₅×C₁₆)⋊₆C₂ = D₂₀.₆C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	2	(D5xC16):6C2	320,528
(D₅×C₁₆)⋊₇C₂ = D₅×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	80	4	(D5xC16):7C2	320,533
(D₅×C₁₆)⋊₈C₂ = D₂₀.₅C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4	(D5xC16):8C2	320,534

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₆).₁C₂ = D₅×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4-	(D5xC16).1C2	320,544
(D₅×C₁₆).₂C₂ = C₈₀⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	80	4	(D5xC16).2C2	320,187
(D₅×C₁₆).₃C₂ = C₁₆.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4	(D5xC16).3C2	320,189
(D₅×C₁₆).₄C₂ = C₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	2	(D5xC16).4C2	320,5
(D₅×C₁₆).₅C₂ = C₈₀⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	80	4	(D5xC16).5C2	320,188
(D₅×C₁₆).₆C₂ = C₈₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4	(D5xC16).6C2	320,190
(D₅×C₁₆).₇C₂ = D₅⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4	(D5xC16).7C2	320,179
(D₅×C₁₆).₈C₂ = C₈₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	160	4	(D5xC16).8C2	320,180
(D₅×C₁₆).₉C₂ = C₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	80	4	(D5xC16).9C2	320,181
(D₅×C₁₆).₁₀C₂ = C₁₆⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₆	80	4	(D5xC16).10C2	320,182
(D₅×C₁₆).₁₁C₂ = D₅×C₃₂	φ: trivial image	160	2	(D5xC16).11C2	320,4

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