Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₂C₂

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₂C₂

		d	ρ	Label	ID
C₅×C₄²⋊₂C₂		80		C5xC4^2:2C2	160,187

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₂C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄²⋊₂C₂) = C₄²⋊₂D₅	φ: C₄²⋊₂C₂/C₄² → C₂ ⊆ Aut C₅	80		C5:1(C4^2:2C2)	160,97
C₅⋊₂(C₄²⋊₂C₂) = C₂³.D₁₀	φ: C₄²⋊₂C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(C4^2:2C2)	160,100
C₅⋊₃(C₄²⋊₂C₂) = C₄⋊C₄⋊D₅	φ: C₄²⋊₂C₂/C₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:3(C4^2:2C2)	160,119

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