Extensions 1→N→G→Q→1 with N=C₄.D₄ and Q=D₅

Direct product G=N×Q with N=C₄.D₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₄.D₄		40	8+	D5xC4.D4	320,371

Semidirect products G=N:Q with N=C₄.D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄⋊₁D₅ = D₂₀.₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.D₄	80	8-	C4.D4:1D5	320,373
C₄.D₄⋊₂D₅ = D₂₀⋊₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.D₄	40	8+	C4.D4:2D5	320,374
C₄.D₄⋊₃D₅ = D₂₀.₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.D₄	80	8-	C4.D4:3D5	320,375
C₄.D₄⋊₄D₅ = D₂₀.₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.D₄	80	8+	C4.D4:4D5	320,376
C₄.D₄⋊₅D₅ = C₂³.₃D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄.D₄	40	8+	C4.D4:5D5	320,33
C₄.D₄⋊₆D₅ = M₄(2).₁₉D₁₀	φ: trivial image	80	8-	C4.D4:6D5	320,372

Non-split extensions G=N.Q with N=C₄.D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄.D₅ = C₂³.₄D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄.D₄	80	8-	C4.D4.D5	320,34

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