Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂⁴.₃C₂²

Direct product G=N×Q with N=C₅ and Q=C₂⁴.₃C₂²

		d	ρ	Label	ID
C₅×C₂⁴.₃C₂²		160		C5xC2^4.3C2^2	320,891

Semidirect products G=N:Q with N=C₅ and Q=C₂⁴.₃C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂⁴.₃C₂²) = C₂.(D₄×F₅)	φ: C₂⁴.₃C₂²/C₂×D₄ → C₄ ⊆ Aut C₅	80		C5:(C2^4.3C2^2)	320,1118
C₅⋊₂(C₂⁴.₃C₂²) = (C₂×C₄)⋊₆D₂₀	φ: C₂⁴.₃C₂²/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:2(C2^4.3C2^2)	320,566
C₅⋊₃(C₂⁴.₃C₂²) = C₂⁴.₁₃D₁₀	φ: C₂⁴.₃C₂²/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C2^4.3C2^2)	320,584
C₅⋊₄(C₂⁴.₃C₂²) = (C₂×D₂₀)⋊₂₂C₄	φ: C₂⁴.₃C₂²/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(C2^4.3C2^2)	320,615
C₅⋊₅(C₂⁴.₃C₂²) = C₂⁴.₁₉D₁₀	φ: C₂⁴.₃C₂²/C₂²×D₄ → C₂ ⊆ Aut C₅	160		C5:5(C2^4.3C2^2)	320,848

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