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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁C₂₄ = C₃×C₂₀⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂₀	480		C20:1C24	480,281
C₂₀⋊₂C₂₄ = C₁₂×C₅⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂₀	480		C20:2C24	480,280
C₂₀⋊₃C₂₄ = C₃×C₂₀⋊₃C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20:3C24	480,82
C₂₀⋊₄C₂₄ = C₁₂×C₅⋊₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20:4C24	480,80
C₂₀⋊₅C₂₄ = C₁₅×C₄⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20:5C24	480,208

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁C₂₄ = C₃×C₂₀.C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂₀	240	4	C20.1C24	480,278
C₂₀.₂C₂₄ = C₃×C₅⋊C₃₂	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂₀	480	4	C20.2C24	480,5
C₂₀.₃C₂₄ = C₆×C₅⋊C₁₆	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂₀	480		C20.3C24	480,277
C₂₀.₄C₂₄ = C₃×C₂₀.₄C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂₀	240	2	C20.4C24	480,90
C₂₀.₅C₂₄ = C₃×C₅⋊₂C₃₂	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂₀	480	2	C20.5C24	480,2
C₂₀.₆C₂₄ = C₆×C₅⋊₂C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20.6C24	480,89
C₂₀.₇C₂₄ = C₁₅×M₅(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂₀	240	2	C20.7C24	480,213

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