Extensions 1→N→G→Q→1 with N=D₂₄ and Q=C₁₀

Direct product G=N×Q with N=D₂₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×D₂₄		240		C10xD24	480,782

Semidirect products G=N:Q with N=D₂₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄⋊₁C₁₀ = C₅×D₄₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	240	2	D24:1C10	480,118
D₂₄⋊₂C₁₀ = C₅×C₈⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	120	4	D24:2C10	480,787
D₂₄⋊₃C₁₀ = C₅×C₃⋊D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	240	4	D24:3C10	480,145
D₂₄⋊₄C₁₀ = C₅×S₃×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	120	4	D24:4C10	480,789
D₂₄⋊₅C₁₀ = C₅×D₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	240	4	D24:5C10	480,798
D₂₄⋊₆C₁₀ = C₅×Q₈⋊₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	120	4	D24:6C10	480,793
D₂₄⋊₇C₁₀ = C₅×C₄○D₂₄	φ: trivial image	240	2	D24:7C10	480,783

Non-split extensions G=N.Q with N=D₂₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄.₁C₁₀ = C₅×C₄₈⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	240	2	D24.1C10	480,119
D₂₄.₂C₁₀ = C₅×C₈.₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₂₄	240	4	D24.2C10	480,147

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