Extensions 1→N→G→Q→1 with N=D₁₀.D₄ and Q=C₂

Direct product G=N×Q with N=D₁₀.D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀.D₄		80		C2xD10.D4	320,1082

Semidirect products G=N:Q with N=D₁₀.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.D₄⋊₁C₂ = C₄²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₄	40	4+	D10.D4:1C2	320,191
D₁₀.D₄⋊₂C₂ = (C₂×D₄)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₄	40	8+	D10.D4:2C2	320,260
D₁₀.D₄⋊₃C₂ = (C₂×D₄)⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₄	40	8+	D10.D4:3C2	320,1108
D₁₀.D₄⋊₄C₂ = (C₂×Q₈)⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₄	80	8+	D10.D4:4C2	320,1123
D₁₀.D₄⋊₅C₂ = C₂³⋊F₅⋊₅C₂	φ: trivial image	80	4	D10.D4:5C2	320,1083

Non-split extensions G=N.Q with N=D₁₀.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.D₄.₁C₂ = C₄²⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₄	80	4	D10.D4.1C2	320,192
D₁₀.D₄.₂C₂ = (C₂×Q₈)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₄	80	8+	D10.D4.2C2	320,266

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