Extensions 1→N→G→Q→1 with N=C₂₄ and Q=C₂₀

Direct product G=N×Q with N=C₂₄ and Q=C₂₀

		d	ρ	Label	ID
C₄×C₁₂₀		480		C4xC120	480,199

Semidirect products G=N:Q with N=C₂₄ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁C₂₀ = C₅×C₂₄⋊₁C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:1C20	480,137
C₂₄⋊₂C₂₀ = C₅×C₈⋊Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:2C20	480,136
C₂₄⋊₃C₂₀ = C₁₅×C₂.D₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:3C20	480,210
C₂₄⋊₄C₂₀ = Dic₃×C₄₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:4C20	480,132
C₂₄⋊₅C₂₀ = C₅×C₂₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:5C20	480,134
C₂₄⋊₆C₂₀ = C₁₅×C₄.Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:6C20	480,209
C₂₄⋊₇C₂₀ = C₁₅×C₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:7C20	480,200

Non-split extensions G=N.Q with N=C₂₄ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁C₂₀ = C₅×C₂₄.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.1C20	480,138
C₂₄.₂C₂₀ = C₁₅×C₈.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.2C20	480,211
C₂₄.₃C₂₀ = C₅×C₃⋊C₃₂	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480	2	C24.3C20	480,1
C₂₄.₄C₂₀ = C₁₀×C₃⋊C₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24.4C20	480,130
C₂₄.₅C₂₀ = C₅×C₁₂.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.5C20	480,131
C₂₄.₆C₂₀ = C₁₅×M₅(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.6C20	480,213

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