Extensions 1→N→G→Q→1 with N=C₁₄ and Q=D₉

Direct product G=N×Q with N=C₁₄ and Q=D₉

		d	ρ	Label	ID
C₁₄×D₉		126	2	C14xD9	252,13

Semidirect products G=N:Q with N=C₁₄ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊D₉ = D₁₂₆	φ: D₉/C₉ → C₂ ⊆ Aut C₁₄	126	2+	C14:D9	252,14

Non-split extensions G=N.Q with N=C₁₄ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.D₉ = Dic₆₃	φ: D₉/C₉ → C₂ ⊆ Aut C₁₄	252	2-	C14.D9	252,5
C₁₄.₂D₉ = C₇×Dic₉	central extension (φ=1)	252	2	C14.2D9	252,3

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C14 and Q=D9