Extensions 1→N→G→Q→1 with N=D₁₂ and Q=D₅

Direct product G=N×Q with N=D₁₂ and Q=D₅

		d	ρ	Label	ID
D₅×D₁₂		60	4+	D5xD12	240,136

Semidirect products G=N:Q with N=D₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁D₅ = C₅⋊D₂₄	φ: D₅/C₅ → C₂ ⊆ Out D₁₂	120	4+	D12:1D5	240,15
D₁₂⋊₂D₅ = C₁₅⋊D₈	φ: D₅/C₅ → C₂ ⊆ Out D₁₂	120	4	D12:2D5	240,13
D₁₂⋊₃D₅ = D₁₂⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out D₁₂	120	4	D12:3D5	240,129
D₁₂⋊₄D₅ = C₂₀⋊D₆	φ: D₅/C₅ → C₂ ⊆ Out D₁₂	60	4	D12:4D5	240,138
D₁₂⋊₅D₅ = D₁₂⋊₅D₅	φ: trivial image	120	4-	D12:5D5	240,133

Non-split extensions G=N.Q with N=D₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁D₅ = D₁₂.D₅	φ: D₅/C₅ → C₂ ⊆ Out D₁₂	120	4-	D12.1D5	240,20
D₁₂.₂D₅ = C₂₀.D₆	φ: D₅/C₅ → C₂ ⊆ Out D₁₂	120	4	D12.2D5	240,17

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