Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄.₄D₄

Direct product G=N×Q with N=C₅ and Q=D₄.₄D₄

		d	ρ	Label	ID
C₅×D₄.₄D₄		80	4	C5xD4.4D4	320,973

Semidirect products G=N:Q with N=C₅ and Q=D₄.₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄.₄D₄) = D₂₀.₃D₄	φ: D₄.₄D₄/C₄.D₄ → C₂ ⊆ Aut C₅	80	8+	C5:1(D4.4D4)	320,376
C₅⋊₂(D₄.₄D₄) = C₈.₂₁D₂₀	φ: D₄.₄D₄/C₈.C₄ → C₂ ⊆ Aut C₅	80	4+	C5:2(D4.4D4)	320,524
C₅⋊₃(D₄.₄D₄) = D₄.₄D₂₀	φ: D₄.₄D₄/C₈○D₄ → C₂ ⊆ Aut C₅	80	4+	C5:3(D4.4D4)	320,769
C₅⋊₄(D₄.₄D₄) = C₄₀.₂₃D₄	φ: D₄.₄D₄/C₂×D₈ → C₂ ⊆ Aut C₅	80	4	C5:4(D4.4D4)	320,787
C₅⋊₅(D₄.₄D₄) = M₄(2).D₁₀	φ: D₄.₄D₄/C₈⋊C₂² → C₂ ⊆ Aut C₅	80	8+	C5:5(D4.4D4)	320,826

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