Extensions 1→N→G→Q→1 with N=D₁₈ and Q=C₁₀

Direct product G=N×Q with N=D₁₈ and Q=C₁₀

		d	ρ	Label	ID
D₉×C₂×C₁₀		180		D9xC2xC10	360,48

Semidirect products G=N:Q with N=D₁₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈⋊₁C₁₀ = C₅×D₃₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₈	180	2	D18:1C10	360,22
D₁₈⋊₂C₁₀ = C₅×C₉⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₁₈	180	2	D18:2C10	360,24

Non-split extensions G=N.Q with N=D₁₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈.C₁₀ = D₉×C₂₀	φ: trivial image	180	2	D18.C10	360,21

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D18 and Q=C10