Extensions 1→N→G→Q→1 with N=C₅×Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₅×Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₁₀×Q₁₆		160		C10xQ16	160,195

Semidirect products G=N:Q with N=C₅×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆)⋊₁C₂ = C₅⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	80	4+	(C5xQ16):1C2	160,35
(C₅×Q₁₆)⋊₂C₂ = D₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	80	4-	(C5xQ16):2C2	160,138
(C₅×Q₁₆)⋊₃C₂ = Q₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	80	4+	(C5xQ16):3C2	160,140
(C₅×Q₁₆)⋊₄C₂ = Q₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):4C2	160,139
(C₅×Q₁₆)⋊₅C₂ = C₅×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	80	2	(C5xQ16):5C2	160,62
(C₅×Q₁₆)⋊₆C₂ = C₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	80	4	(C5xQ16):6C2	160,198
(C₅×Q₁₆)⋊₇C₂ = C₅×C₄○D₈	φ: trivial image	80	2	(C5xQ16):7C2	160,196

Non-split extensions G=N.Q with N=C₅×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆).₁C₂ = C₅⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	160	4-	(C5xQ16).1C2	160,36
(C₅×Q₁₆).₂C₂ = C₅×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Q₁₆	160	2	(C5xQ16).2C2	160,63

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