Extensions 1→N→G→Q→1 with N=D₂₄ and Q=D₅

Direct product G=NxQ with N=D₂₄ and Q=D₅

		d	ρ	Label	ID
D₅xD₂₄		120	4+	D5xD24	480,324

Semidirect products G=N:Q with N=D₂₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄:₁D₅ = C₅:D₄₈	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	240	4+	D24:1D5	480,15
D₂₄:₂D₅ = D₂₄:D₅	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	120	4	D24:2D5	480,326
D₂₄:₃D₅ = C₁₅:D₁₆	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	240	4	D24:3D5	480,13
D₂₄:₄D₅ = C₄₀:₅D₆	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	120	4	D24:4D5	480,332
D₂₄:₅D₅ = D₂₄:₅D₅	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	240	4	D24:5D5	480,355
D₂₄:₆D₅ = D₂₄:₆D₅	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	120	4	D24:6D5	480,333
D₂₄:₇D₅ = D₂₄:₇D₅	φ: trivial image	240	4-	D24:7D5	480,346

Non-split extensions G=N.Q with N=D₂₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄.₁D₅ = D₂₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	240	4-	D24.1D5	480,20
D₂₄.₂D₅ = C₁₅:SD₃₂	φ: D₅/C₅ → C₂ ⊆ Out D₂₄	240	4	D24.2D5	480,17

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