Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₈.C₂²

Direct product G=N×Q with N=C₅ and Q=C₂×C₈.C₂²

		d	ρ	Label	ID
C₁₀×C₈.C₂²		160		C10xC8.C2^2	320,1576

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₈.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₈.C₂²) = C₂×C₈.D₁₀	φ: C₂×C₈.C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:1(C2xC8.C2^2)	320,1419
C₅⋊₂(C₂×C₈.C₂²) = C₂×SD₁₆⋊D₅	φ: C₂×C₈.C₂²/C₂×SD₁₆ → C₂ ⊆ Aut C₅	160		C5:2(C2xC8.C2^2)	320,1432
C₅⋊₃(C₂×C₈.C₂²) = C₂×Q₁₆⋊D₅	φ: C₂×C₈.C₂²/C₂×Q₁₆ → C₂ ⊆ Aut C₅	160		C5:3(C2xC8.C2^2)	320,1436
C₅⋊₄(C₂×C₈.C₂²) = D₅×C₈.C₂²	φ: C₂×C₈.C₂²/C₈.C₂² → C₂ ⊆ Aut C₅	80	8-	C5:4(C2xC8.C2^2)	320,1448
C₅⋊₅(C₂×C₈.C₂²) = C₂×C₂₀.C₂³	φ: C₂×C₈.C₂²/C₂²×Q₈ → C₂ ⊆ Aut C₅	160		C5:5(C2xC8.C2^2)	320,1480
C₅⋊₆(C₂×C₈.C₂²) = C₂×D₄.₉D₁₀	φ: C₂×C₈.C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:6(C2xC8.C2^2)	320,1495

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