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

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

		d	ρ	Label	ID
C₁₀×C₂.C₄²		320		C10xC2.C4^2	320,876

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₂.C₄²) = C₂×D₁₀.₃Q₈	φ: C₂×C₂.C₄²/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:(C2xC2.C4^2)	320,1100
C₅⋊₂(C₂×C₂.C₄²) = D₅×C₂.C₄²	φ: C₂×C₂.C₄²/C₂.C₄² → C₂ ⊆ Aut C₅	160		C5:2(C2xC2.C4^2)	320,290
C₅⋊₃(C₂×C₂.C₄²) = C₂×C₁₀.₁₀C₄²	φ: C₂×C₂.C₄²/C₂³×C₄ → C₂ ⊆ Aut C₅	320		C5:3(C2xC2.C4^2)	320,835

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