Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄⋊₁D₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₄⋊₁D₄

		d	ρ	Label	ID
C₁₀×C₄⋊₁D₄		160		C10xC4:1D4	320,1532

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄⋊₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄⋊₁D₄) = C₂×C₂₀⋊₄D₄	φ: C₂×C₄⋊₁D₄/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:1(C2xC4:1D4)	320,1147
C₅⋊₂(C₂×C₄⋊₁D₄) = D₅×C₄⋊₁D₄	φ: C₂×C₄⋊₁D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	80		C5:2(C2xC4:1D4)	320,1386
C₅⋊₃(C₂×C₄⋊₁D₄) = C₂×C₂₀⋊D₄	φ: C₂×C₄⋊₁D₄/C₂²×D₄ → C₂ ⊆ Aut C₅	160		C5:3(C2xC4:1D4)	320,1475

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