Extensions 1→N→G→Q→1 with N=D₄×C₉ and Q=S₃

Direct product G=N×Q with N=D₄×C₉ and Q=S₃

		d	ρ	Label	ID
S₃×D₄×C₉		72	4	S3xD4xC9	432,358

Semidirect products G=N:Q with N=D₄×C₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉)⋊₁S₃ = C₃₆.₁₈D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	216		(D4xC9):1S3	432,191
(D₄×C₉)⋊₂S₃ = D₄×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	108		(D4xC9):2S3	432,388
(D₄×C₉)⋊₃S₃ = C₃₆.₂₇D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	216		(D4xC9):3S3	432,389
(D₄×C₉)⋊₄S₃ = C₉×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):4S3	432,150
(D₄×C₉)⋊₅S₃ = C₉×D₄⋊₂S₃	φ: trivial image	72	4	(D4xC9):5S3	432,359

Non-split extensions G=N.Q with N=D₄×C₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉).₁S₃ = D₄.D₂₇	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	216	4-	(D4xC9).1S3	432,15
(D₄×C₉).₂S₃ = D₄⋊D₂₇	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	216	4+	(D4xC9).2S3	432,16
(D₄×C₉).₃S₃ = D₄×D₂₇	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	108	4+	(D4xC9).3S3	432,47
(D₄×C₉).₄S₃ = D₄⋊₂D₂₇	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	216	4-	(D4xC9).4S3	432,48
(D₄×C₉).₅S₃ = C₃₆.₁₇D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	216		(D4xC9).5S3	432,190
(D₄×C₉).₆S₃ = C₉×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9).6S3	432,151

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