Extensions 1→N→G→Q→1 with N=D₄×D₉ and Q=C₂

Direct product G=N×Q with N=D₄×D₉ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×D₉		72		C2xD4xD9	288,356

Semidirect products G=N:Q with N=D₄×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₉)⋊₁C₂ = D₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₉	72	4+	(D4xD9):1C2	288,120
(D₄×D₉)⋊₂C₂ = D₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₉	72	4	(D4xD9):2C2	288,121
(D₄×D₉)⋊₃C₂ = D₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₉	72	4+	(D4xD9):3C2	288,124
(D₄×D₉)⋊₄C₂ = D₄⋊₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₉	72	4	(D4xD9):4C2	288,358
(D₄×D₉)⋊₅C₂ = D₄⋊₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₉	72	4+	(D4xD9):5C2	288,363
(D₄×D₉)⋊₆C₂ = C₄○D₄×D₉	φ: trivial image	72	4	(D4xD9):6C2	288,362

Non-split extensions G=N.Q with N=D₄×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₉).C₂ = SD₁₆×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₉	72	4	(D4xD9).C2	288,123

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