Extensions 1→N→G→Q→1 with N=D₁₀ and Q=Dic₅

Direct product G=N×Q with N=D₁₀ and Q=Dic₅

		d	ρ	Label	ID
C₂×D₅×Dic₅		80		C2xD5xDic5	400,172

Semidirect products G=N:Q with N=D₁₀ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁Dic₅ = D₁₀⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₀	80		D10:1Dic5	400,72
D₁₀⋊₂Dic₅ = D₁₀.D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10:2Dic5	400,148
D₁₀⋊₃Dic₅ = C₂²×D₅.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₀	80		D10:3Dic5	400,215

Non-split extensions G=N.Q with N=D₁₀ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁Dic₅ = C₂₀.₃₀D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.1Dic5	400,62
D₁₀.₂Dic₅ = C₂₀.₁₄F₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.2Dic5	400,142
D₁₀.₃Dic₅ = C₂₀.₁₂F₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.3Dic5	400,143
D₁₀.₄Dic₅ = D₅×C₅⋊₂C₈	φ: trivial image	80	4	D10.4Dic5	400,60

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