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

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

		d	ρ	Label	ID
C₁₀×C₄².C₂		320		C10xC4^2.C2	320,1529

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄².C₂) = C₂×C₂₀.₆Q₈	φ: C₂×C₄².C₂/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:1(C2xC4^2.C2)	320,1141
C₅⋊₂(C₂×C₄².C₂) = C₂×Dic₅.Q₈	φ: C₂×C₄².C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:2(C2xC4^2.C2)	320,1170
C₅⋊₃(C₂×C₄².C₂) = C₂×C₄.Dic₁₀	φ: C₂×C₄².C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:3(C2xC4^2.C2)	320,1171
C₅⋊₄(C₂×C₄².C₂) = D₅×C₄².C₂	φ: C₂×C₄².C₂/C₄².C₂ → C₂ ⊆ Aut C₅	160		C5:4(C2xC4^2.C2)	320,1359

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