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

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

		d	ρ	Label	ID
C₅×C₄²⋊C₂		80		C5xC4^2:C2	160,178

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄²⋊C₂) = D₁₀.C₂³	φ: C₄²⋊C₂/C₂×C₄ → C₄ ⊆ Aut C₅	40	4	C5:(C4^2:C2)	160,205
C₅⋊₂(C₄²⋊C₂) = C₄²⋊D₅	φ: C₄²⋊C₂/C₄² → C₂ ⊆ Aut C₅	80		C5:2(C4^2:C2)	160,93
C₅⋊₃(C₄²⋊C₂) = C₂³.₁₁D₁₀	φ: C₄²⋊C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:3(C4^2:C2)	160,98
C₅⋊₄(C₄²⋊C₂) = C₄⋊C₄⋊₇D₅	φ: C₄²⋊C₂/C₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:4(C4^2:C2)	160,113
C₅⋊₅(C₄²⋊C₂) = C₂³.₂₁D₁₀	φ: C₄²⋊C₂/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:5(C4^2:C2)	160,147

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