Extensions 1→N→G→Q→1 with N=C₁₈ and Q=D₁₁

Direct product G=N×Q with N=C₁₈ and Q=D₁₁

		d	ρ	Label	ID
C₁₈×D₁₁		198	2	C18xD11	396,7

Semidirect products G=N:Q with N=C₁₈ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊D₁₁ = D₁₉₈	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₈	198	2+	C18:D11	396,9

Non-split extensions G=N.Q with N=C₁₈ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.D₁₁ = Dic₉₉	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₁₈	396	2-	C18.D11	396,3
C₁₈.₂D₁₁ = C₉×Dic₁₁	central extension (φ=1)	396	2	C18.2D11	396,2

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C18 and Q=D11