Extensions 1→N→G→Q→1 with N=C₄○D₁₂ and Q=D₅

Direct product G=N×Q with N=C₄○D₁₂ and Q=D₅

		d	ρ	Label	ID
D₅×C₄○D₁₂		120	4	D5xC4oD12	480,1090

Semidirect products G=N:Q with N=C₄○D₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂⋊₁D₅ = C₂₀.₆₀D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12:1D5	480,379
C₄○D₁₂⋊₂D₅ = D₂₀.₃₄D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12:2D5	480,373
C₄○D₁₂⋊₃D₅ = C₆₀.₃₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:3D5	480,374
C₄○D₁₂⋊₄D₅ = C₆₀.₃₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4+	C4oD12:4D5	480,381
C₄○D₁₂⋊₅D₅ = D₂₀.₃₉D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4-	C4oD12:5D5	480,1077
C₄○D₁₂⋊₆D₅ = C₃₀.C₂⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12:6D5	480,1080
C₄○D₁₂⋊₇D₅ = D₂₀⋊₂₄D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:7D5	480,1092
C₄○D₁₂⋊₈D₅ = D₂₀⋊₂₅D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:8D5	480,1093
C₄○D₁₂⋊₉D₅ = D₂₀⋊₂₉D₆	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4+	C4oD12:9D5	480,1095

Non-split extensions G=N.Q with N=C₄○D₁₂ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂.₁D₅ = C₆₀.₉₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12.1D5	480,55
C₄○D₁₂.₂D₅ = C₆₀.₉₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12.2D5	480,54
C₄○D₁₂.₃D₅ = D₁₂.Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12.3D5	480,364
C₄○D₁₂.₄D₅ = D₁₂.₃₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12.4D5	480,385
C₄○D₁₂.₅D₅ = D₁₂.₃₃D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4-	C4oD12.5D5	480,398
C₄○D₁₂.₆D₅ = D₁₂.₂Dic₅	φ: trivial image	240	4	C4oD12.6D5	480,362

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