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

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

		d	ρ	Label	ID
C₁₀×D₂₄		240		C10xD24	480,782

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×D₂₄) = D₅×D₂₄	φ: C₂×D₂₄/D₂₄ → C₂ ⊆ Aut C₅	120	4+	C5:1(C2xD24)	480,324
C₅⋊₂(C₂×D₂₄) = C₂×D₁₂₀	φ: C₂×D₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	240		C5:2(C2xD24)	480,868
C₅⋊₃(C₂×D₂₄) = C₂×C₅⋊D₂₄	φ: C₂×D₂₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C2xD24)	480,378

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