Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₉

Direct product G=N×Q with N=Q₈ and Q=D₉

		d	ρ	Label	ID
Q₈×D₉		72	4-	Q8xD9	144,43

Semidirect products G=N:Q with N=Q₈ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₉ = Q₈⋊D₉	φ: D₉/C₃ → S₃ ⊆ Out Q₈	72	4+	Q8:D9	144,32
Q₈⋊₂D₉ = Q₈⋊₂D₉	φ: D₉/C₉ → C₂ ⊆ Out Q₈	72	4+	Q8:2D9	144,18
Q₈⋊₃D₉ = Q₈⋊₃D₉	φ: trivial image	72	4+	Q8:3D9	144,44

Non-split extensions G=N.Q with N=Q₈ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₉ = Q₈.D₉	φ: D₉/C₃ → S₃ ⊆ Out Q₈	144	4-	Q8.D9	144,31
Q₈.₂D₉ = C₉⋊Q₁₆	φ: D₉/C₉ → C₂ ⊆ Out Q₈	144	4-	Q8.2D9	144,17

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Extensions 1→N→G→Q→1 with N=Q8 and Q=D9