Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄.₁₀D₄

Direct product G=NxQ with N=C₅ and Q=C₄.₁₀D₄

		d	ρ	Label	ID
C₅xC₄.₁₀D₄		80	4	C5xC4.10D4	160,51

Semidirect products G=N:Q with N=C₅ and Q=C₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₄.₁₀D₄) = Dic₅.D₄	φ: C₄.₁₀D₄/C₂xC₄ → C₄ ⊆ Aut C₅	80	4-	C5:(C4.10D4)	160,80
C₅:₂(C₄.₁₀D₄) = C₄.₁₂D₂₀	φ: C₄.₁₀D₄/M₄(2) → C₂ ⊆ Aut C₅	80	4-	C5:2(C4.10D4)	160,31
C₅:₃(C₄.₁₀D₄) = C₂₀.₁₀D₄	φ: C₄.₁₀D₄/C₂xQ₈ → C₂ ⊆ Aut C₅	80	4	C5:3(C4.10D4)	160,43

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