Extensions 1→N→G→Q→1 with N=D₄ and Q=C₁₀

Direct product G=N×Q with N=D₄ and Q=C₁₀

		d	ρ	Label	ID
D₄×C₁₀		40		D4xC10	80,46

Semidirect products G=N:Q with N=D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₁₀ = C₅×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄	40	2	D4:C10	80,25
D₄⋊₂C₁₀ = C₅×C₄○D₄	φ: trivial image	40	2	D4:2C10	80,48

Non-split extensions G=N.Q with N=D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₁₀ = C₅×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄	40	2	D4.C10	80,26

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Extensions 1→N→G→Q→1 with N=D4 and Q=C10