Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₁₀

Direct product G=N×Q with N=C₄○D₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄○D₄		80		C10xC4oD4	160,231

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁C₁₀ = C₅×C₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₄	80	2	C4oD4:1C10	160,196
C₄○D₄⋊₂C₁₀ = C₅×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₄	40	4	C4oD4:2C10	160,197
C₄○D₄⋊₃C₁₀ = C₅×2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₄	40	4	C4oD4:3C10	160,232
C₄○D₄⋊₄C₁₀ = C₅×2_-¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4:4C10	160,233

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁C₁₀ = C₅×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₄	40	2	C4oD4.1C10	160,54
C₄○D₄.₂C₁₀ = C₅×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4.2C10	160,198
C₄○D₄.₃C₁₀ = C₅×C₈○D₄	φ: trivial image	80	2	C4oD4.3C10	160,192

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