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

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

		d	ρ	Label	ID
C₁₀×C₄○D₄		80		C10xC4oD4	160,231

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄○D₄) = C₂×C₄○D₂₀	φ: C₂×C₄○D₄/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:1(C2xC4oD4)	160,216
C₅⋊₂(C₂×C₄○D₄) = C₂×D₄⋊₂D₅	φ: C₂×C₄○D₄/C₂×D₄ → C₂ ⊆ Aut C₅	80		C5:2(C2xC4oD4)	160,218
C₅⋊₃(C₂×C₄○D₄) = C₂×Q₈⋊₂D₅	φ: C₂×C₄○D₄/C₂×Q₈ → C₂ ⊆ Aut C₅	80		C5:3(C2xC4oD4)	160,221
C₅⋊₄(C₂×C₄○D₄) = D₅×C₄○D₄	φ: C₂×C₄○D₄/C₄○D₄ → C₂ ⊆ Aut C₅	40	4	C5:4(C2xC4oD4)	160,223

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