Extensions 1→N→G→Q→1 with N=D₄×C₉ and Q=C₂

Direct product G=N×Q with N=D₄×C₉ and Q=C₂

		d	ρ	Label	ID
D₄×C₁₈		72		D4xC18	144,48

Semidirect products G=N:Q with N=D₄×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉)⋊₁C₂ = D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₉	72	4+	(D4xC9):1C2	144,16
(D₄×C₉)⋊₂C₂ = D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₉	36	4+	(D4xC9):2C2	144,41
(D₄×C₉)⋊₃C₂ = D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₉	72	4-	(D4xC9):3C2	144,42
(D₄×C₉)⋊₄C₂ = C₉×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₉	72	2	(D4xC9):4C2	144,25
(D₄×C₉)⋊₅C₂ = C₉×C₄○D₄	φ: trivial image	72	2	(D4xC9):5C2	144,50

Non-split extensions G=N.Q with N=D₄×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉).₁C₂ = D₄.D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₉	72	4-	(D4xC9).1C2	144,15
(D₄×C₉).₂C₂ = C₉×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₉	72	2	(D4xC9).2C2	144,26

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