Extensions 1→N→G→Q→1 with N=C₅ and Q=D₂₄⋊C₂

Direct product G=N×Q with N=C₅ and Q=D₂₄⋊C₂

		d	ρ	Label	ID
C₅×D₂₄⋊C₂		240	4	C5xD24:C2	480,798

Semidirect products G=N:Q with N=C₅ and Q=D₂₄⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₂₄⋊C₂) = D₁₂₀⋊₅C₂	φ: D₂₄⋊C₂/S₃×C₈ → C₂ ⊆ Aut C₅	240	4+	C5:1(D24:C2)	480,351
C₅⋊₂(D₂₄⋊C₂) = D₂₄⋊₅D₅	φ: D₂₄⋊C₂/D₂₄ → C₂ ⊆ Aut C₅	240	4	C5:2(D24:C2)	480,355
C₅⋊₃(D₂₄⋊C₂) = D₁₂.D₁₀	φ: D₂₄⋊C₂/Q₈⋊₂S₃ → C₂ ⊆ Aut C₅	240	8+	C5:3(D24:C2)	480,599
C₅⋊₄(D₂₄⋊C₂) = D₁₂₀⋊₈C₂	φ: D₂₄⋊C₂/C₃×Q₁₆ → C₂ ⊆ Aut C₅	240	4+	C5:4(D24:C2)	480,884
C₅⋊₅(D₂₄⋊C₂) = Dic₁₀.₂₇D₆	φ: D₂₄⋊C₂/Q₈⋊₃S₃ → C₂ ⊆ Aut C₅	240	8+	C5:5(D24:C2)	480,595

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