Extensions 1→N→G→Q→1 with N=D₄ and Q=D₉

Direct product G=N×Q with N=D₄ and Q=D₉

		d	ρ	Label	ID
D₄×D₉		36	4+	D4xD9	144,41

Semidirect products G=N:Q with N=D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₉ = D₄⋊D₉	φ: D₉/C₉ → C₂ ⊆ Out D₄	72	4+	D4:D9	144,16
D₄⋊₂D₉ = D₄⋊₂D₉	φ: trivial image	72	4-	D4:2D9	144,42

Non-split extensions G=N.Q with N=D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₉ = D₄.D₉	φ: D₉/C₉ → C₂ ⊆ Out D₄	72	4-	D4.D9	144,15

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Extensions 1→N→G→Q→1 with N=D4 and Q=D9