Extensions 1→N→G→Q→1 with N=D₄×C₃×C₉ and Q=C₂

Direct product G=N×Q with N=D₄×C₃×C₉ and Q=C₂

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=D₄×C₃×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃×C₉)⋊₁C₂ = C₃×D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9):1C2	432,149
(D₄×C₃×C₉)⋊₂C₂ = C₃₆.₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	216		(D4xC3xC9):2C2	432,191
(D₄×C₃×C₉)⋊₃C₂ = C₃×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9):3C2	432,356
(D₄×C₃×C₉)⋊₄C₂ = C₃×D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9):4C2	432,357
(D₄×C₃×C₉)⋊₅C₂ = D₄×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	108		(D4xC3xC9):5C2	432,388
(D₄×C₃×C₉)⋊₆C₂ = C₃₆.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	216		(D4xC3xC9):6C2	432,389
(D₄×C₃×C₉)⋊₇C₂ = C₉×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9):7C2	432,150
(D₄×C₃×C₉)⋊₈C₂ = D₈×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	216		(D4xC3xC9):8C2	432,215
(D₄×C₃×C₉)⋊₉C₂ = S₃×D₄×C₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9):9C2	432,358
(D₄×C₃×C₉)⋊₁₀C₂ = C₉×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9):10C2	432,359
(D₄×C₃×C₉)⋊₁₁C₂ = C₄○D₄×C₃×C₉	φ: trivial image	216		(D4xC3xC9):11C2	432,409

Non-split extensions G=N.Q with N=D₄×C₃×C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃×C₉).₁C₂ = C₃×D₄.D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9).1C2	432,148
(D₄×C₃×C₉).₂C₂ = C₃₆.₁₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	216		(D4xC3xC9).2C2	432,190
(D₄×C₃×C₉).₃C₂ = C₉×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	72	4	(D4xC3xC9).3C2	432,151
(D₄×C₃×C₉).₄C₂ = SD₁₆×C₃×C₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃×C₉	216		(D4xC3xC9).4C2	432,218

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