Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₁₀

Direct product G=N×Q with N=D₁₀ and Q=C₁₀

		d	ρ	Label	ID
D₅×C₂×C₁₀		40		D5xC2xC10	200,50

Semidirect products G=N:Q with N=D₁₀ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₁₀ = C₅×D₂₀	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₀	40	2	D10:1C10	200,29
D₁₀⋊₂C₁₀ = C₅×C₅⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₀	20	2	D10:2C10	200,31

Non-split extensions G=N.Q with N=D₁₀ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.C₁₀ = C₁₀×F₅	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₀	40	4	D10.C10	200,45
D₁₀.₂C₁₀ = D₅×C₂₀	φ: trivial image	40	2	D10.2C10	200,28

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D10 and Q=C10