Extensions 1→N→G→Q→1 with N=D₅×Q₁₆ and Q=C₂

Direct product G=N×Q with N=D₅×Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×Q₁₆		160		C2xD5xQ16	320,1435

Semidirect products G=N:Q with N=D₅×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Q₁₆)⋊₁C₂ = D₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	80	8-	(D5xQ16):1C2	320,1448
(D₅×Q₁₆)⋊₂C₂ = D₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	160	8-	(D5xQ16):2C2	320,1451
(D₅×Q₁₆)⋊₃C₂ = D₅×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	80	4	(D5xQ16):3C2	320,540
(D₅×Q₁₆)⋊₄C₂ = SD₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	160	4-	(D5xQ16):4C2	320,542
(D₅×Q₁₆)⋊₅C₂ = Q₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	160	4	(D5xQ16):5C2	320,545
(D₅×Q₁₆)⋊₆C₂ = D₂₀.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	160	4	(D5xQ16):6C2	320,1438
(D₅×Q₁₆)⋊₇C₂ = D₂₀.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	160	4-	(D5xQ16):7C2	320,1443
(D₅×Q₁₆)⋊₈C₂ = D₅×C₄○D₈	φ: trivial image	80	4	(D5xQ16):8C2	320,1439

Non-split extensions G=N.Q with N=D₅×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Q₁₆).₁C₂ = D₅×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	160	4-	(D5xQ16).1C2	320,544
(D₅×Q₁₆).₂C₂ = Dic₂₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	160	8-	(D5xQ16).2C2	320,248
(D₅×Q₁₆).₃C₂ = Dic₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	80	8-	(D5xQ16).3C2	320,1077
(D₅×Q₁₆).₄C₂ = D₅.Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	80	8-	(D5xQ16).4C2	320,246
(D₅×Q₁₆).₅C₂ = Q₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Q₁₆	80	8-	(D5xQ16).5C2	320,1076

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