Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₄

Direct product G=N×Q with N=D₁₀ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×D₅		40		C2xC4xD5	80,36

Semidirect products G=N:Q with N=D₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₄ = D₁₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₀	40		D10:1C4	80,14
D₁₀⋊₂C₄ = C₂²⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₁₀	20	4+	D10:2C4	80,34
D₁₀⋊₃C₄ = C₂²×F₅	φ: C₄/C₂ → C₂ ⊆ Out D₁₀	20		D10:3C4	80,50

Non-split extensions G=N.Q with N=D₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₄ = C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out D₁₀	40	2	D10.1C4	80,5
D₁₀.₂C₄ = D₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₁₀	40	4	D10.2C4	80,28
D₁₀.₃C₄ = C₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₁₀	40	4	D10.3C4	80,29
D₁₀.₄C₄ = C₈×D₅	φ: trivial image	40	2	D10.4C4	80,4

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