Extensions 1→N→G→Q→1 with N=Q₈×C₉ and Q=C₂

Direct product G=N×Q with N=Q₈×C₉ and Q=C₂

		d	ρ	Label	ID
Q₈×C₁₈		144		Q8xC18	144,49

Semidirect products G=N:Q with N=Q₈×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉)⋊₁C₂ = Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₉	72	4+	(Q8xC9):1C2	144,18
(Q₈×C₉)⋊₂C₂ = Q₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₉	72	4-	(Q8xC9):2C2	144,43
(Q₈×C₉)⋊₃C₂ = Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₉	72	4+	(Q8xC9):3C2	144,44
(Q₈×C₉)⋊₄C₂ = C₉×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₉	72	2	(Q8xC9):4C2	144,26
(Q₈×C₉)⋊₅C₂ = C₉×C₄○D₄	φ: trivial image	72	2	(Q8xC9):5C2	144,50

Non-split extensions G=N.Q with N=Q₈×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉).₁C₂ = C₉⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₉	144	4-	(Q8xC9).1C2	144,17
(Q₈×C₉).₂C₂ = C₉×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₉	144	2	(Q8xC9).2C2	144,27

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