Extensions 1→N→G→Q→1 with N=D₁₀.Q₈ and Q=C₂

Direct product G=N×Q with N=D₁₀.Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀.Q₈		160		C2xD10.Q8	320,1061

Semidirect products G=N:Q with N=D₁₀.Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.Q₈⋊₁C₂ = D₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	160	8-	D10.Q8:1C2	320,243
D₁₀.Q₈⋊₂C₂ = Q₁₆.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	160	8+	D10.Q8:2C2	320,247
D₁₀.Q₈⋊₃C₂ = D₈⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	80	8-	D10.Q8:3C2	320,1070
D₁₀.Q₈⋊₄C₂ = Q₁₆⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	80	8+	D10.Q8:4C2	320,1078
D₁₀.Q₈⋊₅C₂ = SD₁₆⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	80	8	D10.Q8:5C2	320,1075
D₁₀.Q₈⋊₆C₂ = M₄(2).₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	80	8	D10.Q8:6C2	320,1067
D₁₀.Q₈⋊₇C₂ = (C₈×D₅).C₄	φ: trivial image	80	4	D10.Q8:7C2	320,1062

Non-split extensions G=N.Q with N=D₁₀.Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.Q₈.₁C₂ = C₁₆.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	160	4	D10.Q8.1C2	320,189
D₁₀.Q₈.₂C₂ = C₈₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.Q₈	160	4	D10.Q8.2C2	320,190

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