Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄.C₈

Direct product G=N×Q with N=C₅ and Q=D₄.C₈

		d	ρ	Label	ID
C₅×D₄.C₈		160	2	C5xD4.C8	320,155

Semidirect products G=N:Q with N=C₅ and Q=D₄.C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄.C₈) = D₂₀.C₈	φ: D₄.C₈/M₄(2) → C₄ ⊆ Aut C₅	160	8	C5:1(D4.C8)	320,236
C₅⋊₂(D₄.C₈) = D₄.(C₅⋊C₈)	φ: D₄.C₈/C₄○D₄ → C₄ ⊆ Aut C₅	160	8	C5:2(D4.C8)	320,270
C₅⋊₃(D₄.C₈) = D₂₀.₃C₈	φ: D₄.C₈/C₂×C₁₆ → C₂ ⊆ Aut C₅	160	2	C5:3(D4.C8)	320,66
C₅⋊₄(D₄.C₈) = D₂₀.₄C₈	φ: D₄.C₈/M₅(2) → C₂ ⊆ Aut C₅	160	4	C5:4(D4.C8)	320,73
C₅⋊₅(D₄.C₈) = C₄₀.₉₂D₄	φ: D₄.C₈/C₈○D₄ → C₂ ⊆ Aut C₅	160	4	C5:5(D4.C8)	320,119

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