Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xC₁₀

Direct product G=NxQ with N=D₄ and Q=C₂xC₁₀

		d	ρ	Label	ID
D₄xC₂xC₁₀		80		D4xC2xC10	160,229

Semidirect products G=N:Q with N=D₄ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xC₁₀) = C₁₀xD₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₄	80		D4:1(C2xC10)	160,193
D₄:₂(C₂xC₁₀) = C₅xC₈:C₂²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₄	40	4	D4:2(C2xC10)	160,197
D₄:₃(C₂xC₁₀) = C₁₀xC₄oD₄	φ: trivial image	80		D4:3(C2xC10)	160,231
D₄:₄(C₂xC₁₀) = C₅x2₊¹⁺⁴	φ: trivial image	40	4	D4:4(C2xC10)	160,232

Non-split extensions G=N.Q with N=D₄ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xC₁₀) = C₁₀xSD₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₄	80		D4.1(C2xC10)	160,194
D₄.₂(C₂xC₁₀) = C₅xC₄oD₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₄	80	2	D4.2(C2xC10)	160,196
D₄.₃(C₂xC₁₀) = C₅xC₈.C₂²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out D₄	80	4	D4.3(C2xC10)	160,198
D₄.₄(C₂xC₁₀) = C₅x2_-¹⁺⁴	φ: trivial image	80	4	D4.4(C2xC10)	160,233

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