Extensions 1→N→G→Q→1 with N=D₁₂ and Q=Dic₅

Direct product G=N×Q with N=D₁₂ and Q=Dic₅

		d	ρ	Label	ID
Dic₅×D₁₂		240		Dic5xD12	480,491

Semidirect products G=N:Q with N=D₁₂ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁Dic₅ = C₁₀.D₂₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:1Dic5	480,43
D₁₂⋊₂Dic₅ = C₆₀.₉₉D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:2Dic5	480,55
D₁₂⋊₃Dic₅ = D₁₂⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:3Dic5	480,42
D₁₂⋊₄Dic₅ = C₆₀.₉₈D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:4Dic5	480,54
D₁₂⋊₅Dic₅ = Dic₁₅⋊₈D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:5Dic5	480,511

Non-split extensions G=N.Q with N=D₁₂ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.Dic₅ = D₁₂.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.Dic5	480,364
D₁₂.₂Dic₅ = D₁₂.₂Dic₅	φ: trivial image	240	4	D12.2Dic5	480,362

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