Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊C₂²

Direct product G=N×Q with N=C₅ and Q=C₈⋊C₂²

		d	ρ	Label	ID
C₅×C₈⋊C₂²		40	4	C5xC8:C2^2	160,197

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊C₂²) = C₈⋊D₁₀	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₅	40	4+	C5:1(C8:C2^2)	160,129
C₅⋊₂(C₈⋊C₂²) = D₈⋊D₅	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₅	40	4	C5:2(C8:C2^2)	160,132
C₅⋊₃(C₈⋊C₂²) = D₄₀⋊C₂	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₅	40	4+	C5:3(C8:C2^2)	160,135
C₅⋊₄(C₈⋊C₂²) = D₄.D₁₀	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₅	40	4	C5:4(C8:C2^2)	160,153
C₅⋊₅(C₈⋊C₂²) = D₄⋊D₁₀	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₅	40	4+	C5:5(C8:C2^2)	160,170

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