Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=D₉

Direct product G=N×Q with N=C₄○D₄ and Q=D₉

		d	ρ	Label	ID
C₄○D₄×D₉		72	4	C4oD4xD9	288,362

Semidirect products G=N:Q with N=C₄○D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁D₉ = C₁₂.₁₁S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄○D₄	144	4	C4oD4:1D9	288,339
C₄○D₄⋊₂D₉ = C₁₂.₄S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄○D₄	72	4+	C4oD4:2D9	288,340
C₄○D₄⋊₃D₉ = D₄⋊D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄○D₄	72	4+	C4oD4:3D9	288,160
C₄○D₄⋊₄D₉ = D₄.₉D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄○D₄	144	4	C4oD4:4D9	288,161
C₄○D₄⋊₅D₉ = D₄⋊₈D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄○D₄	72	4+	C4oD4:5D9	288,363
C₄○D₄⋊₆D₉ = D₄.₁₀D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄○D₄	144	4-	C4oD4:6D9	288,364

Non-split extensions G=N.Q with N=C₄○D₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁D₉ = C₁₂.₉S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄○D₄	72	4	C4oD4.1D9	288,70
C₄○D₄.₂D₉ = C₁₂.₃S₄	φ: D₉/C₃ → S₃ ⊆ Out C₄○D₄	144	4-	C4oD4.2D9	288,338
C₄○D₄.₃D₉ = Q₈⋊₃Dic₉	φ: D₉/C₉ → C₂ ⊆ Out C₄○D₄	72	4	C4oD4.3D9	288,44
C₄○D₄.₄D₉ = D₄.D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄○D₄	144	4-	C4oD4.4D9	288,159
C₄○D₄.₅D₉ = D₄.Dic₉	φ: trivial image	144	4	C4oD4.5D9	288,158

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