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	2	C5xC4oD4	80,48

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄○D₄) = C₄○D₂₀	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Aut C₅	40	2	C5:1(C4oD4)	80,38
C₅⋊₂(C₄○D₄) = D₄⋊₂D₅	φ: C₄○D₄/D₄ → C₂ ⊆ Aut C₅	40	4-	C5:2(C4oD4)	80,40
C₅⋊₃(C₄○D₄) = Q₈⋊₂D₅	φ: C₄○D₄/Q₈ → C₂ ⊆ Aut C₅	40	4+	C5:3(C4oD4)	80,42

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