Extensions 1→N→G→Q→1 with N=C₂₄ and Q=F₅

Direct product G=N×Q with N=C₂₄ and Q=F₅

		d	ρ	Label	ID
F₅×C₂₄		120	4	F5xC24	480,271

Semidirect products G=N:Q with N=C₂₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁F₅ = D₅.D₂₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	120	4	C24:1F5	480,299
C₂₄⋊₂F₅ = C₁₂₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	120	4	C24:2F5	480,298
C₂₄⋊₃F₅ = C₃×D₅.D₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	120	4	C24:3F5	480,274
C₂₄⋊₄F₅ = C₈×C₃⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	120	4	C24:4F5	480,296
C₂₄⋊₅F₅ = C₂₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	120	4	C24:5F5	480,297
C₂₄⋊₆F₅ = C₃×C₄₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	120	4	C24:6F5	480,273
C₂₄⋊₇F₅ = C₃×C₈⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	120	4	C24:7F5	480,272

Non-split extensions G=N.Q with N=C₂₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁F₅ = C₂₄.₁F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	240	4	C24.1F5	480,301
C₂₄.₂F₅ = C₄₀.Dic₃	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	240	4	C24.2F5	480,300
C₂₄.₃F₅ = C₃×D₁₀.Q₈	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	240	4	C24.3F5	480,276
C₂₄.₄F₅ = C₁₅⋊C₃₂	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	480	4	C24.4F5	480,6
C₂₄.₅F₅ = C₂₄.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	240	4	C24.5F5	480,294
C₂₄.₆F₅ = C₁₂₀.C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	240	4	C24.6F5	480,295
C₂₄.₇F₅ = C₃×C₄₀.C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	240	4	C24.7F5	480,275
C₂₄.₈F₅ = C₃×C₈.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₄	240	4	C24.8F5	480,270
C₂₄.₉F₅ = C₃×C₅⋊C₃₂	central extension (φ=1)	480	4	C24.9F5	480,5
C₂₄.₁₀F₅ = C₃×D₅⋊C₁₆	central extension (φ=1)	240	4	C24.10F5	480,269

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