Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=D₉

Direct product G=NxQ with N=C₄oD₄ and Q=D₉

		d	ρ	Label	ID
C₄oD₄xD₉		72	4	C4oD4xD9	288,362

Semidirect products G=N:Q with N=C₄oD₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:₁D₉ = C₁₂.₁₁S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄oD₄	144	4	C4oD4:1D9	288,339
C₄oD₄:₂D₉ = C₁₂.₄S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄oD₄	72	4+	C4oD4:2D9	288,340
C₄oD₄:₃D₉ = D₄:D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄oD₄	72	4+	C4oD4:3D9	288,160
C₄oD₄:₄D₉ = D₄.₉D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄oD₄	144	4	C4oD4:4D9	288,161
C₄oD₄:₅D₉ = D₄:₈D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄oD₄	72	4+	C4oD4:5D9	288,363
C₄oD₄:₆D₉ = D₄.₁₀D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄oD₄	144	4-	C4oD4:6D9	288,364

Non-split extensions G=N.Q with N=C₄oD₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.₁D₉ = C₁₂.₉S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄oD₄	72	4	C4oD4.1D9	288,70
C₄oD₄.₂D₉ = C₁₂.₃S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄oD₄	144	4-	C4oD4.2D9	288,338
C₄oD₄.₃D₉ = Q₈:₃Dic₉	φ: D₉/C₉ → C₂ ⊆ Out C₄oD₄	72	4	C4oD4.3D9	288,44
C₄oD₄.₄D₉ = D₄.D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄oD₄	144	4-	C4oD4.4D9	288,159
C₄oD₄.₅D₉ = D₄.Dic₉	φ: trivial image	144	4	C4oD4.5D9	288,158

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