Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄⋊Q₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₄⋊Q₈

		d	ρ	Label	ID
C₁₀×C₄⋊Q₈		320		C10xC4:Q8	320,1533

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄⋊Q₈) = C₂×C₂₀⋊₂Q₈	φ: C₂×C₄⋊Q₈/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:1(C2xC4:Q8)	320,1140
C₅⋊₂(C₂×C₄⋊Q₈) = C₂×C₂₀⋊Q₈	φ: C₂×C₄⋊Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:2(C2xC4:Q8)	320,1169
C₅⋊₃(C₂×C₄⋊Q₈) = D₅×C₄⋊Q₈	φ: C₂×C₄⋊Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C2xC4:Q8)	320,1395
C₅⋊₄(C₂×C₄⋊Q₈) = C₂×Dic₅⋊Q₈	φ: C₂×C₄⋊Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₅	320		C5:4(C2xC4:Q8)	320,1482

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