Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄.D₄

Direct product G=N×Q with N=C₅ and Q=C₄.D₄

		d	ρ	Label	ID
C₅×C₄.D₄		40	4	C5xC4.D4	160,50

Semidirect products G=N:Q with N=C₅ and Q=C₄.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄.D₄) = C₂³.F₅	φ: C₄.D₄/C₂³ → C₄ ⊆ Aut C₅	40	4	C5:(C4.D4)	160,88
C₅⋊₂(C₄.D₄) = C₂₀.₄₆D₄	φ: C₄.D₄/M₄(2) → C₂ ⊆ Aut C₅	40	4+	C5:2(C4.D4)	160,30
C₅⋊₃(C₄.D₄) = C₂₀.D₄	φ: C₄.D₄/C₂×D₄ → C₂ ⊆ Aut C₅	40	4	C5:3(C4.D4)	160,40

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