Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄.₉D₄

Direct product G=N×Q with N=C₅ and Q=D₄.₉D₄

		d	ρ	Label	ID
C₅×D₄.₉D₄		80	4	C5xD4.9D4	320,956

Semidirect products G=N:Q with N=C₅ and Q=D₄.₉D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄.₉D₄) = D₂₀.₁D₄	φ: D₄.₉D₄/C₄.D₄ → C₂ ⊆ Aut C₅	80	8-	C5:1(D4.9D4)	320,373
C₅⋊₂(D₄.₉D₄) = M₄(2)⋊D₁₀	φ: D₄.₉D₄/C₄≀C₂ → C₂ ⊆ Aut C₅	80	4	C5:2(D4.9D4)	320,452
C₅⋊₃(D₄.₉D₄) = C₄²⋊₅D₁₀	φ: D₄.₉D₄/C₄.₄D₄ → C₂ ⊆ Aut C₅	80	4	C5:3(D4.9D4)	320,688
C₅⋊₄(D₄.₉D₄) = D₂₀.₃₉D₄	φ: D₄.₉D₄/C₈.C₂² → C₂ ⊆ Aut C₅	80	8+	C5:4(D4.9D4)	320,829
C₅⋊₅(D₄.₉D₄) = 2₊¹⁺⁴.D₅	φ: D₄.₉D₄/2₊¹⁺⁴ → C₂ ⊆ Aut C₅	80	8-	C5:5(D4.9D4)	320,869

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