Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₀

Direct product G=N×Q with N=D₄ and Q=D₁₀

		d	ρ	Label	ID
C₂×D₄×D₅		40		C2xD4xD5	160,217

Semidirect products G=N:Q with N=D₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₁₀ = D₅×D₈	φ: D₁₀/D₅ → C₂ ⊆ Out D₄	40	4+	D4:1D10	160,131
D₄⋊₂D₁₀ = D₈⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₄	40	4	D4:2D10	160,132
D₄⋊₃D₁₀ = C₂×D₄⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₄	80		D4:3D10	160,152
D₄⋊₄D₁₀ = D₄⋊D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₄	40	4+	D4:4D10	160,170
D₄⋊₅D₁₀ = C₂×D₄⋊₂D₅	φ: trivial image	80		D4:5D10	160,218
D₄⋊₆D₁₀ = D₄⋊₆D₁₀	φ: trivial image	40	4	D4:6D10	160,219
D₄⋊₇D₁₀ = D₅×C₄○D₄	φ: trivial image	40	4	D4:7D10	160,223
D₄⋊₈D₁₀ = D₄⋊₈D₁₀	φ: trivial image	40	4+	D4:8D10	160,224

Non-split extensions G=N.Q with N=D₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₁₀ = D₈⋊₃D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₄	80	4-	D4.1D10	160,133
D₄.₂D₁₀ = D₅×SD₁₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₄	40	4	D4.2D10	160,134
D₄.₃D₁₀ = D₄₀⋊C₂	φ: D₁₀/D₅ → C₂ ⊆ Out D₄	40	4+	D4.3D10	160,135
D₄.₄D₁₀ = SD₁₆⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₄	80	4-	D4.4D10	160,136
D₄.₅D₁₀ = SD₁₆⋊₃D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₄	80	4	D4.5D10	160,137
D₄.₆D₁₀ = D₄.D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₄	40	4	D4.6D10	160,153
D₄.₇D₁₀ = C₂×D₄.D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₄	80		D4.7D10	160,154
D₄.₈D₁₀ = D₄.₈D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₄	80	4	D4.8D10	160,171
D₄.₉D₁₀ = D₄.₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₄	80	4-	D4.9D10	160,172
D₄.₁₀D₁₀ = D₄.₁₀D₁₀	φ: trivial image	80	4-	D4.10D10	160,225

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