Extensions 1→N→G→Q→1 with N=C₂₄ and Q=D₅

Direct product G=N×Q with N=C₂₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₂₄		120	2	D5xC24	240,33

Semidirect products G=N:Q with N=C₂₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁D₅ = D₁₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	120	2+	C24:1D5	240,68
C₂₄⋊₂D₅ = C₂₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:2D5	240,67
C₂₄⋊₃D₅ = C₃×D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:3D5	240,36
C₂₄⋊₄D₅ = C₈×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:4D5	240,65
C₂₄⋊₅D₅ = C₄₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:5D5	240,66
C₂₄⋊₆D₅ = C₃×C₄₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:6D5	240,35
C₂₄⋊₇D₅ = C₃×C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:7D5	240,34

Non-split extensions G=N.Q with N=C₂₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁D₅ = Dic₆₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	240	2-	C24.1D5	240,69
C₂₄.₂D₅ = C₃×Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	240	2	C24.2D5	240,37
C₂₄.₃D₅ = C₁₅⋊₃C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₂₄	240	2	C24.3D5	240,3
C₂₄.₄D₅ = C₃×C₅⋊₂C₁₆	central extension (φ=1)	240	2	C24.4D5	240,2

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