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

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

		d	ρ	Label	ID
D₅×D₂₄		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

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁