Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×D₄

Direct product G=N×Q with N=C₅ and Q=C₂²×D₄

		d	ρ	Label	ID
D₄×C₂×C₁₀		80		D4xC2xC10	160,229

Semidirect products G=N:Q with N=C₅ and Q=C₂²×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²×D₄) = C₂²×D₂₀	φ: C₂²×D₄/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:1(C2^2xD4)	160,215
C₅⋊₂(C₂²×D₄) = C₂×D₄×D₅	φ: C₂²×D₄/C₂×D₄ → C₂ ⊆ Aut C₅	40		C5:2(C2^2xD4)	160,217
C₅⋊₃(C₂²×D₄) = C₂²×C₅⋊D₄	φ: C₂²×D₄/C₂⁴ → C₂ ⊆ Aut C₅	80		C5:3(C2^2xD4)	160,227

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