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

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

		d	ρ	Label	ID
C₂²×D₅		20		C2^2xD5	40,13

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₂ = D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀	20	2+	D10:1C2	40,6
D₁₀⋊₂C₂ = C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀	20	2	D10:2C2	40,8

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.C₂ = C₂×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀	10	4+	D10.C2	40,12
D₁₀.₂C₂ = C₄×D₅	φ: trivial image	20	2	D10.2C2	40,5

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