Extensions 1→N→G→Q→1 with N=C₂₄ and Q=Dic₅

Direct product G=N×Q with N=C₂₄ and Q=Dic₅

		d	ρ	Label	ID
Dic₅×C₂₄		480		Dic5xC24	480,91

Semidirect products G=N:Q with N=C₂₄ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁Dic₅ = C₁₂₀⋊₉C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:1Dic5	480,178
C₂₄⋊₂Dic₅ = C₁₂₀⋊₁₀C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:2Dic5	480,177
C₂₄⋊₃Dic₅ = C₃×C₄₀⋊₅C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:3Dic5	480,96
C₂₄⋊₄Dic₅ = C₈×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:4Dic5	480,173
C₂₄⋊₅Dic₅ = C₁₂₀⋊₁₃C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:5Dic5	480,175
C₂₄⋊₆Dic₅ = C₃×C₄₀⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:6Dic5	480,95
C₂₄⋊₇Dic₅ = C₃×C₄₀⋊₈C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24:7Dic5	480,93

Non-split extensions G=N.Q with N=C₂₄ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁Dic₅ = C₄.₁₈D₆₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.1Dic5	480,179
C₂₄.₂Dic₅ = C₃×C₄₀.₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.2Dic5	480,97
C₂₄.₃Dic₅ = C₁₅⋊₃C₃₂	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480	2	C24.3Dic5	480,3
C₂₄.₄Dic₅ = C₂×C₁₅⋊₃C₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	480		C24.4Dic5	480,171
C₂₄.₅Dic₅ = C₆₀.₇C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.5Dic5	480,172
C₂₄.₆Dic₅ = C₃×C₂₀.₄C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₄	240	2	C24.6Dic5	480,90
C₂₄.₇Dic₅ = C₃×C₅⋊₂C₃₂	central extension (φ=1)	480	2	C24.7Dic5	480,2
C₂₄.₈Dic₅ = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		C24.8Dic5	480,89

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