Extensions 1→N→G→Q→1 with N=Q₈×C₉ and Q=C₄

Direct product G=N×Q with N=Q₈×C₉ and Q=C₄

		d	ρ	Label	ID
Q₈×C₃₆		288		Q8xC36	288,169

Semidirect products G=N:Q with N=Q₈×C₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉)⋊₁C₄ = Q₈⋊₂Dic₉	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₉	288		(Q8xC9):1C4	288,43
(Q₈×C₉)⋊₂C₄ = Q₈⋊₃Dic₉	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₉	72	4	(Q8xC9):2C4	288,44
(Q₈×C₉)⋊₃C₄ = Q₈×Dic₉	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₉	288		(Q8xC9):3C4	288,155
(Q₈×C₉)⋊₄C₄ = C₉×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₉	288		(Q8xC9):4C4	288,53
(Q₈×C₉)⋊₅C₄ = C₉×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₉	72	2	(Q8xC9):5C4	288,54

Non-split extensions G=N.Q with N=Q₈×C₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉).C₄ = D₄.Dic₉	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9).C4	288,158
(Q₈×C₉).₂C₄ = C₉×C₈○D₄	φ: trivial image	144	2	(Q8xC9).2C4	288,181

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