Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄.₅D₄

Direct product G=N×Q with N=C₅ and Q=D₄.₅D₄

		d	ρ	Label	ID
C₅×D₄.₅D₄		160	4	C5xD4.5D4	320,974

Semidirect products G=N:Q with N=C₅ and Q=D₄.₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄.₅D₄) = D₂₀.₇D₄	φ: D₄.₅D₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₅	160	8-	C5:1(D4.5D4)	320,382
C₅⋊₂(D₄.₅D₄) = C₈.₂₀D₂₀	φ: D₄.₅D₄/C₈.C₄ → C₂ ⊆ Aut C₅	160	4-	C5:2(D4.5D4)	320,523
C₅⋊₃(D₄.₅D₄) = D₄.₅D₂₀	φ: D₄.₅D₄/C₈○D₄ → C₂ ⊆ Aut C₅	160	4-	C5:3(D4.5D4)	320,770
C₅⋊₄(D₄.₅D₄) = C₄₀.₂₉D₄	φ: D₄.₅D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₅	160	4	C5:4(D4.5D4)	320,819
C₅⋊₅(D₄.₅D₄) = M₄(2).₁₆D₁₀	φ: D₄.₅D₄/C₈.C₂² → C₂ ⊆ Aut C₅	160	8-	C5:5(D4.5D4)	320,831

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