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		80	4	C5xC8.C2^2	160,198

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	80	4-	C5:1(C8.C2^2)	160,130
C₅⋊₂(C₈.C₂²) = SD₁₆⋊D₅	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₅	80	4-	C5:2(C8.C2^2)	160,136
C₅⋊₃(C₈.C₂²) = Q₁₆⋊D₅	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₅	80	4	C5:3(C8.C2^2)	160,139
C₅⋊₄(C₈.C₂²) = C₂₀.C₂³	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₅	80	4	C5:4(C8.C2^2)	160,163
C₅⋊₅(C₈.C₂²) = D₄.₉D₁₀	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₅	80	4-	C5:5(C8.C2^2)	160,172

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