Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂₄

Direct product G=N×Q with N=D₁₀ and Q=C₂₄

		d	ρ	Label	ID
D₅×C₂×C₂₄		240		D5xC2xC24	480,692

Semidirect products G=N:Q with N=D₁₀ and Q=C₂₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₂₄ = C₃×D₁₀⋊₁C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:1C24	480,98
D₁₀⋊₂C₂₄ = C₃×D₁₀⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:2C24	480,283
D₁₀⋊₃C₂₄ = C₆×D₅⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:3C24	480,1047

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₂₄ = C₃×C₈₀⋊C₂	φ: C₂₄/C₁₂ → C₂ ⊆ Out D₁₀	240	2	D10.1C24	480,76
D₁₀.₂C₂₄ = C₃×D₅⋊C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.2C24	480,269
D₁₀.₃C₂₄ = C₃×C₈.F₅	φ: C₂₄/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.3C24	480,270
D₁₀.₄C₂₄ = D₅×C₄₈	φ: trivial image	240	2	D10.4C24	480,75

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