Extensions 1→N→G→Q→1 with N=Dic₁₂ and Q=D₅

Direct product G=N×Q with N=Dic₁₂ and Q=D₅

		d	ρ	Label	ID
D₅×Dic₁₂		240	4-	D5xDic12	480,335

Semidirect products G=N:Q with N=Dic₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂⋊₁D₅ = Dic₁₂⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	240	4+	Dic12:1D5	480,21
Dic₁₂⋊₂D₅ = C₂₄.₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	240	4	Dic12:2D5	480,337
Dic₁₂⋊₃D₅ = C₄₀.D₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	240	4	Dic12:3D5	480,16
Dic₁₂⋊₄D₅ = Dic₁₀.D₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	240	4	Dic12:4D5	480,340
Dic₁₂⋊₅D₅ = D₄₀⋊₅S₃	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	240	4	Dic12:5D5	480,353
Dic₁₂⋊₆D₅ = D₃₀.₃D₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	240	4	Dic12:6D5	480,354
Dic₁₂⋊₇D₅ = D₁₂₀⋊C₂	φ: trivial image	240	4+	Dic12:7D5	480,347

Non-split extensions G=N.Q with N=Dic₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂.₁D₅ = C₅⋊Dic₂₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	480	4-	Dic12.1D5	480,24
Dic₁₂.₂D₅ = C₁₅⋊Q₃₂	φ: D₅/C₅ → C₂ ⊆ Out Dic₁₂	480	4	Dic12.2D5	480,22

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