Extensions 1→N→G→Q→1 with N=C₄.₁₀D₄ and Q=D₅

Direct product G=N×Q with N=C₄.₁₀D₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₄.₁₀D₄		80	8-	D5xC4.10D4	320,377

Semidirect products G=N:Q with N=C₄.₁₀D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄⋊₁D₅ = D₂₀.₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.₁₀D₄	80	8-	C4.10D4:1D5	320,379
C₄.₁₀D₄⋊₂D₅ = D₂₀.₅D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.₁₀D₄	80	8+	C4.10D4:2D5	320,380
C₄.₁₀D₄⋊₃D₅ = D₂₀.₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.₁₀D₄	80	8+	C4.10D4:3D5	320,381
C₄.₁₀D₄⋊₄D₅ = D₂₀.₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄.₁₀D₄	160	8-	C4.10D4:4D5	320,382
C₄.₁₀D₄⋊₅D₅ = (C₂×C₄).D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄.₁₀D₄	80	8+	C4.10D4:5D5	320,35
C₄.₁₀D₄⋊₆D₅ = M₄(2).₂₁D₁₀	φ: trivial image	80	8+	C4.10D4:6D5	320,378

Non-split extensions G=N.Q with N=C₄.₁₀D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄.D₅ = (C₂×Q₈).D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄.₁₀D₄	80	8-	C4.10D4.D5	320,36

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