Extensions 1→N→G→Q→1 with N=C₁₆ and Q=D₉

Direct product G=N×Q with N=C₁₆ and Q=D₉

		d	ρ	Label	ID
C₁₆×D₉		144	2	C16xD9	288,4

Semidirect products G=N:Q with N=C₁₆ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁D₉ = D₁₄₄	φ: D₉/C₉ → C₂ ⊆ Aut C₁₆	144	2+	C16:1D9	288,6
C₁₆⋊₂D₉ = C₁₄₄⋊C₂	φ: D₉/C₉ → C₂ ⊆ Aut C₁₆	144	2	C16:2D9	288,7
C₁₆⋊₃D₉ = C₁₆⋊D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₁₆	144	2	C16:3D9	288,5

Non-split extensions G=N.Q with N=C₁₆ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.D₉ = Dic₇₂	φ: D₉/C₉ → C₂ ⊆ Aut C₁₆	288	2-	C16.D9	288,8
C₁₆.₂D₉ = C₉⋊C₃₂	central extension (φ=1)	288	2	C16.2D9	288,1

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Extensions 1→N→G→Q→1 with N=C16 and Q=D9