Extensions 1→N→G→Q→1 with N=D₄×C₉ and Q=C₄

Direct product G=N×Q with N=D₄×C₉ and Q=C₄

		d	ρ	Label	ID
D₄×C₃₆		144		D4xC36	288,168

Semidirect products G=N:Q with N=D₄×C₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉)⋊₁C₄ = D₄⋊Dic₉	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9):1C4	288,40
(D₄×C₉)⋊₂C₄ = Q₈⋊₃Dic₉	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):2C4	288,44
(D₄×C₉)⋊₃C₄ = D₄×Dic₉	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9):3C4	288,144
(D₄×C₉)⋊₄C₄ = C₉×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9):4C4	288,52
(D₄×C₉)⋊₅C₄ = C₉×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₉	72	2	(D4xC9):5C4	288,54

Non-split extensions G=N.Q with N=D₄×C₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉).C₄ = D₄.Dic₉	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₉	144	4	(D4xC9).C4	288,158
(D₄×C₉).₂C₄ = C₉×C₈○D₄	φ: trivial image	144	2	(D4xC9).2C4	288,181

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